32.775 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.030 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.031 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.033 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.034 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.036 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.038 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.040 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.043 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.045 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.049 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.055 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.085 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.326 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.328 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.331 * * [progress]: iteration 1 / 4 0.331 * * * [progress]: picking best candidate 0.333 * * * * [pick]: Picked # 0.333 * * * [progress]: localizing error 0.338 * * * [progress]: generating rewritten candidates 0.338 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.339 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.339 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.339 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.340 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.340 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.340 * [taylor]: Taking taylor expansion of 3 in x 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.340 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.340 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of 3 in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.340 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.340 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of 3 in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 0 in x 0.342 * [taylor]: Taking taylor expansion of 3 in x 0.344 * [taylor]: Taking taylor expansion of 0 in x 0.346 * [taylor]: Taking taylor expansion of 0 in x 0.346 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.346 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.347 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.347 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.347 * [taylor]: Taking taylor expansion of 3 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.347 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.347 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.347 * [taylor]: Taking taylor expansion of 3 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.348 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.348 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.348 * [taylor]: Taking taylor expansion of 3 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of 3 in x 0.351 * [taylor]: Taking taylor expansion of 0 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of 0 in x 0.359 * [taylor]: Taking taylor expansion of 0 in x 0.360 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.360 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.360 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.360 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.360 * [taylor]: Taking taylor expansion of 3 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.361 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.361 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.361 * [taylor]: Taking taylor expansion of 3 in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.362 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.362 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.362 * [taylor]: Taking taylor expansion of 3 in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of 3 in x 0.365 * [taylor]: Taking taylor expansion of 0 in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.374 * * * [progress]: simplifying candidates 0.374 * [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))) 0.377 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.379 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.381 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.386 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.425 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.426 * [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)) 0.426 * * * [progress]: adding candidates to table 0.451 * * [progress]: iteration 2 / 4 0.451 * * * [progress]: picking best candidate 0.457 * * * * [pick]: Picked # 0.457 * * * [progress]: localizing error 0.464 * * * [progress]: generating rewritten candidates 0.464 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.473 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.476 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.483 * * * [progress]: generating series expansions 0.483 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.484 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of 3 in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of 3 in x 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of 3 in x 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of 3 in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of 1 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.493 * [taylor]: Taking taylor expansion of 3 in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.494 * [taylor]: Taking taylor expansion of 3 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of 3 in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of 1 in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.498 * [taylor]: Taking taylor expansion of 3 in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.507 * [taylor]: Taking taylor expansion of 3 in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.508 * [taylor]: Taking taylor expansion of 3 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.508 * [taylor]: Taking taylor expansion of 3 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of 1 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.511 * [taylor]: Taking taylor expansion of 3 in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.519 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.520 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.520 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of 1 in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of 1 in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of 1 in y 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.549 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.550 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of 2 in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of 2 in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of 2 in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of 2 in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [taylor]: Taking taylor expansion of 1 in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.559 * [taylor]: Taking taylor expansion of 2 in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.560 * [taylor]: Taking taylor expansion of 2 in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.561 * [taylor]: Taking taylor expansion of 2 in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of 1 in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.563 * [taylor]: Taking taylor expansion of 2 in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.572 * [taylor]: Taking taylor expansion of 2 in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.573 * [taylor]: Taking taylor expansion of 2 in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.574 * [taylor]: Taking taylor expansion of 2 in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of 1 in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.576 * [taylor]: Taking taylor expansion of 2 in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.585 * * * [progress]: simplifying candidates 0.586 * [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))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (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) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 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))) 0.590 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.596 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.615 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.716 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.719 * [simplify]: Simplified to: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3)) (+ (pow y 4) (* (fma x x (fma y y (* y y))) (fma x x (* y y)))) (* (fma x x (* y y)) (fma y y (fma x x (fma y y (* y y))))) (fma x x (* y y)) (fma y y (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (exp (+ (fma x x (* y y)) (pow y 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* y y)) 3)) (+ (* (pow x 2) (fma x x (* y y))) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (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 (* y y)) (fma x x (* y y)) (fma x x (* 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))) 0.719 * * * [progress]: adding candidates to table 0.827 * * [progress]: iteration 3 / 4 0.827 * * * [progress]: picking best candidate 0.838 * * * * [pick]: Picked # 0.838 * * * [progress]: localizing error 0.847 * * * [progress]: generating rewritten candidates 0.847 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.852 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.857 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.858 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.863 * * * [progress]: generating series expansions 0.863 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.863 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.863 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.863 * [taylor]: Taking taylor expansion of x in y 0.863 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.863 * [taylor]: Taking taylor expansion of 2 in y 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.864 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.864 * [taylor]: Taking taylor expansion of 2 in x 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.865 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.865 * [taylor]: Taking taylor expansion of 2 in x 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.865 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.866 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.866 * [taylor]: Taking taylor expansion of 2 in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.871 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.871 * [taylor]: Taking taylor expansion of 1/2 in y 0.871 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.871 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.871 * [taylor]: Taking taylor expansion of 2 in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.885 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.885 * [taylor]: Taking taylor expansion of 2 in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.888 * [taylor]: Taking taylor expansion of 2 in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.891 * [taylor]: Taking taylor expansion of 2 in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.891 * [taylor]: Taking taylor expansion of y in x 0.893 * [taylor]: Taking taylor expansion of 1 in y 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.895 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.900 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.900 * [taylor]: Taking taylor expansion of x in y 0.900 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.900 * [taylor]: Taking taylor expansion of 2 in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.904 * [taylor]: Taking taylor expansion of 2 in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of 2 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of 1 in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.915 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.916 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.916 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.916 * [taylor]: Taking taylor expansion of x in y 0.916 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of 2 in y 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.916 * [taylor]: Taking taylor expansion of y in y 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 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.918 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.918 * [taylor]: Taking taylor expansion of 2 in x 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.919 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.919 * [taylor]: Taking taylor expansion of 2 in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.923 * [taylor]: Taking taylor expansion of 1/2 in y 0.923 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.923 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.923 * [taylor]: Taking taylor expansion of 2 in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.934 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.934 * [taylor]: Taking taylor expansion of 2 in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [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 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.940 * [taylor]: Taking taylor expansion of 2 in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.940 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.940 * [taylor]: Taking taylor expansion of y in x 0.942 * [taylor]: Taking taylor expansion of 1 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.950 * [taylor]: Taking taylor expansion of 2 in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.950 * [taylor]: Taking taylor expansion of y in y 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 0.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.953 * [taylor]: Taking taylor expansion of 2 in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.953 * [taylor]: Taking taylor expansion of y in x 0.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.956 * [taylor]: Taking taylor expansion of 2 in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.956 * [taylor]: Taking taylor expansion of y in x 0.961 * [taylor]: Taking taylor expansion of 1 in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.967 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.968 * [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 0.968 * [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 0.968 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.968 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.968 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.968 * [taylor]: Taking taylor expansion of x in y 0.968 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.968 * [taylor]: Taking taylor expansion of 2 in y 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.969 * [taylor]: Taking taylor expansion of x in y 0.969 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.969 * [taylor]: Taking taylor expansion of 2 in y 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [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 0.970 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.970 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.970 * [taylor]: Taking taylor expansion of 2 in x 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.971 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.971 * [taylor]: Taking taylor expansion of 2 in x 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [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 0.972 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.972 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.972 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.972 * [taylor]: Taking taylor expansion of 2 in x 0.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.973 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.973 * [taylor]: Taking taylor expansion of 2 in x 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.973 * [taylor]: Taking taylor expansion of y in x 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.974 * [taylor]: Taking taylor expansion of y in x 0.975 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 0.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 0.975 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 0.975 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.976 * [taylor]: Taking taylor expansion of 2 in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of 0 in y 0.983 * [taylor]: Taking taylor expansion of 1 in y 0.994 * [taylor]: Taking taylor expansion of 0 in y 1.007 * [taylor]: Taking taylor expansion of 0 in y 1.008 * [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 1.008 * [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 1.008 * [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))) 1.008 * [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 1.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.009 * [taylor]: Taking taylor expansion of x in y 1.009 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.009 * [taylor]: Taking taylor expansion of 2 in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.012 * [taylor]: Taking taylor expansion of x in y 1.012 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.012 * [taylor]: Taking taylor expansion of 2 in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.015 * [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 1.016 * [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))) 1.016 * [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 1.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.016 * [taylor]: Taking taylor expansion of 2 in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2))) in x 1.019 * [taylor]: Taking taylor expansion of 2 in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 1.021 * [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 1.022 * [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))) 1.022 * [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 1.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.022 * [taylor]: Taking taylor expansion of 2 in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.025 * [taylor]: Taking taylor expansion of 2 in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.028 * [taylor]: Taking taylor expansion of 1 in y 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.033 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.033 * [taylor]: Taking taylor expansion of 3 in y 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.040 * [taylor]: Taking taylor expansion of 0 in y 1.052 * [taylor]: Taking taylor expansion of 0 in y 1.054 * [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 1.054 * [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 1.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.058 * [taylor]: Taking taylor expansion of x in y 1.058 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.058 * [taylor]: Taking taylor expansion of 2 in y 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.062 * [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 1.062 * [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))) 1.062 * [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 1.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.062 * [taylor]: Taking taylor expansion of 2 in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.062 * [taylor]: Taking taylor expansion of y in x 1.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.065 * [taylor]: Taking taylor expansion of 2 in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.065 * [taylor]: Taking taylor expansion of y 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 1.067 * [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 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.068 * [taylor]: Taking taylor expansion of 2 in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.071 * [taylor]: Taking taylor expansion of 2 in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.071 * [taylor]: Taking taylor expansion of y 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 1.074 * [taylor]: Taking taylor expansion of 1 in y 1.074 * [taylor]: Taking taylor expansion of 0 in y 1.079 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.079 * [taylor]: Taking taylor expansion of 3 in y 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of 0 in y 1.095 * [taylor]: Taking taylor expansion of 0 in y 1.097 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.097 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of 0 in y 1.098 * [taylor]: Taking taylor expansion of 1 in y 1.100 * [taylor]: Taking taylor expansion of 0 in y 1.101 * [taylor]: Taking taylor expansion of 0 in y 1.102 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.102 * [taylor]: Taking taylor expansion of x in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.104 * [taylor]: Taking taylor expansion of y in x 1.104 * [taylor]: Taking taylor expansion of 1 in y 1.105 * [taylor]: Taking taylor expansion of 0 in y 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.111 * [taylor]: Taking taylor expansion of 0 in y 1.112 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.113 * [taylor]: Taking taylor expansion of x in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 (/ 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 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.114 * [taylor]: Taking taylor expansion of x 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 1.115 * [taylor]: Taking taylor expansion of 1 in y 1.116 * [taylor]: Taking taylor expansion of 0 in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.117 * [taylor]: Taking taylor expansion of y in y 1.119 * [taylor]: Taking taylor expansion of 0 in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.123 * * * [progress]: simplifying candidates 1.124 * [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))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* (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) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.129 * * [simplify]: iteration 0 : 200 enodes (cost 583 ) 1.136 * * [simplify]: iteration 1 : 838 enodes (cost 494 ) 1.147 * * [simplify]: iteration 2 : 2618 enodes (cost 468 ) 1.201 * * [simplify]: iteration 3 : 5001 enodes (cost 441 ) 1.204 * [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)))) 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))))) (fabs (* x (hypot x (* (sqrt 2) y)))) (fabs x) 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)))) 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))))) (fabs (* x (hypot x (* (sqrt 2) y)))) (fabs x) 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 y y (fma x x (* 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))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (* (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 (* y y)) (fma x x (* y y)) (fma x x (* y y)) 1.205 * * * [progress]: adding candidates to table 1.370 * * [progress]: iteration 4 / 4 1.370 * * * [progress]: picking best candidate 1.384 * * * * [pick]: Picked # 1.384 * * * [progress]: localizing error 1.400 * * * [progress]: generating rewritten candidates 1.400 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.405 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.410 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.411 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.413 * * * [progress]: generating series expansions 1.413 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.413 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.413 * [taylor]: Taking taylor expansion of x in y 1.413 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.413 * [taylor]: Taking taylor expansion of 2 in y 1.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.413 * [taylor]: Taking taylor expansion of y in y 1.414 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.414 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.414 * [taylor]: Taking taylor expansion of 2 in x 1.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.414 * [taylor]: Taking taylor expansion of y in x 1.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.415 * [taylor]: Taking taylor expansion of 2 in x 1.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.415 * [taylor]: Taking taylor expansion of y in x 1.416 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.416 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.416 * [taylor]: Taking taylor expansion of 2 in y 1.417 * [taylor]: Taking taylor expansion of y in y 1.417 * [taylor]: Taking taylor expansion of 0 in y 1.421 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.421 * [taylor]: Taking taylor expansion of 1/2 in y 1.421 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.421 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.421 * [taylor]: Taking taylor expansion of 2 in y 1.422 * [taylor]: Taking taylor expansion of y in y 1.429 * [taylor]: Taking taylor expansion of 0 in y 1.432 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.432 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.432 * [taylor]: Taking taylor expansion of x in y 1.432 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.432 * [taylor]: Taking taylor expansion of 2 in y 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.432 * [taylor]: Taking taylor expansion of y in y 1.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.436 * [taylor]: Taking taylor expansion of 2 in x 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.436 * [taylor]: Taking taylor expansion of y in x 1.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.439 * [taylor]: Taking taylor expansion of 2 in x 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.439 * [taylor]: Taking taylor expansion of y in x 1.441 * [taylor]: Taking taylor expansion of 1 in y 1.441 * [taylor]: Taking taylor expansion of 0 in y 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.443 * [taylor]: Taking taylor expansion of y in y 1.446 * [taylor]: Taking taylor expansion of 0 in y 1.448 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.448 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.448 * [taylor]: Taking taylor expansion of x in y 1.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.448 * [taylor]: Taking taylor expansion of 2 in y 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.448 * [taylor]: Taking taylor expansion of y in y 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.451 * [taylor]: Taking taylor expansion of 2 in x 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.452 * [taylor]: Taking taylor expansion of y in x 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.454 * [taylor]: Taking taylor expansion of 2 in x 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.454 * [taylor]: Taking taylor expansion of y in x 1.456 * [taylor]: Taking taylor expansion of 1 in y 1.456 * [taylor]: Taking taylor expansion of 0 in y 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.459 * [taylor]: Taking taylor expansion of y in y 1.462 * [taylor]: Taking taylor expansion of 0 in y 1.463 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 1.464 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.464 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.464 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.464 * [taylor]: Taking taylor expansion of 2 in y 1.464 * [taylor]: Taking taylor expansion of y in y 1.464 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.464 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.464 * [taylor]: Taking taylor expansion of 2 in y 1.465 * [taylor]: Taking taylor expansion of y in y 1.476 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.476 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.477 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.477 * [taylor]: Taking taylor expansion of 2 in y 1.477 * [taylor]: Taking taylor expansion of y in y 1.478 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.478 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.478 * [taylor]: Taking taylor expansion of 2 in y 1.478 * [taylor]: Taking taylor expansion of y in y 1.490 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.490 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.490 * [taylor]: Taking taylor expansion of -1 in y 1.490 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.490 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.490 * [taylor]: Taking taylor expansion of 2 in y 1.491 * [taylor]: Taking taylor expansion of y in y 1.492 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.492 * [taylor]: Taking taylor expansion of -1 in y 1.492 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.492 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.492 * [taylor]: Taking taylor expansion of 2 in y 1.492 * [taylor]: Taking taylor expansion of y in y 1.506 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.507 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in (x y) around 0 1.507 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in y 1.507 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.507 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in y 1.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.507 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.507 * [taylor]: Taking taylor expansion of x in y 1.507 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.507 * [taylor]: Taking taylor expansion of 2 in y 1.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.507 * [taylor]: Taking taylor expansion of y in y 1.508 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.508 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.508 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.508 * [taylor]: Taking taylor expansion of (* x x) in y 1.508 * [taylor]: Taking taylor expansion of x in y 1.508 * [taylor]: Taking taylor expansion of x in y 1.508 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.508 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.508 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.508 * [taylor]: Taking taylor expansion of 2 in y 1.509 * [taylor]: Taking taylor expansion of y in y 1.509 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.509 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.509 * [taylor]: Taking taylor expansion of 2 in y 1.509 * [taylor]: Taking taylor expansion of y in y 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.514 * [taylor]: Taking taylor expansion of y in y 1.514 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in x 1.514 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.514 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in x 1.514 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.514 * [taylor]: Taking taylor expansion of 2 in x 1.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.514 * [taylor]: Taking taylor expansion of y in x 1.515 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.515 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.515 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.515 * [taylor]: Taking taylor expansion of (* x x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.515 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.515 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.515 * [taylor]: Taking taylor expansion of 2 in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.516 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.516 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.516 * [taylor]: Taking taylor expansion of 2 in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.522 * [taylor]: Taking taylor expansion of y in x 1.522 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in x 1.522 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.522 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in x 1.522 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.522 * [taylor]: Taking taylor expansion of 2 in x 1.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.522 * [taylor]: Taking taylor expansion of y in x 1.523 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.523 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.523 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.523 * [taylor]: Taking taylor expansion of (* x x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.523 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.523 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.523 * [taylor]: Taking taylor expansion of 2 in x 1.524 * [taylor]: Taking taylor expansion of y in x 1.524 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.524 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.524 * [taylor]: Taking taylor expansion of 2 in x 1.525 * [taylor]: Taking taylor expansion of y in x 1.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.530 * [taylor]: Taking taylor expansion of y in x 1.531 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.531 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.531 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.531 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.531 * [taylor]: Taking taylor expansion of 2 in y 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.532 * [taylor]: Taking taylor expansion of y in y 1.533 * [taylor]: Taking taylor expansion of 0 in y 1.541 * [taylor]: Taking taylor expansion of 1 in y 1.555 * [taylor]: Taking taylor expansion of 0 in y 1.574 * [taylor]: Taking taylor expansion of 0 in y 1.576 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in (x y) around 0 1.576 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in y 1.576 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.576 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.576 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.576 * [taylor]: Taking taylor expansion of x in y 1.576 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.576 * [taylor]: Taking taylor expansion of 2 in y 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.579 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.579 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.579 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.579 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.579 * [taylor]: Taking taylor expansion of x in y 1.579 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.579 * [taylor]: Taking taylor expansion of x in y 1.579 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.579 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.579 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.579 * [taylor]: Taking taylor expansion of 2 in y 1.580 * [taylor]: Taking taylor expansion of y in y 1.581 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.581 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.581 * [taylor]: Taking taylor expansion of 2 in y 1.581 * [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 1.587 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in x 1.587 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.587 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.588 * [taylor]: Taking taylor expansion of 2 in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.588 * [taylor]: Taking taylor expansion of y in x 1.590 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.590 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.590 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.591 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.591 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.591 * [taylor]: Taking taylor expansion of 2 in x 1.592 * [taylor]: Taking taylor expansion of y in x 1.592 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.592 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.592 * [taylor]: Taking taylor expansion of 2 in x 1.592 * [taylor]: Taking taylor expansion of y in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.595 * [taylor]: Taking taylor expansion of y in x 1.595 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in x 1.596 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.596 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.596 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.596 * [taylor]: Taking taylor expansion of 2 in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.596 * [taylor]: Taking taylor expansion of y in x 1.598 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.598 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.598 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.598 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.599 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.599 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.599 * [taylor]: Taking taylor expansion of 2 in x 1.600 * [taylor]: Taking taylor expansion of y in x 1.600 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.600 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.600 * [taylor]: Taking taylor expansion of 2 in x 1.601 * [taylor]: Taking taylor expansion of y in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.604 * [taylor]: Taking taylor expansion of y in x 1.604 * [taylor]: Taking taylor expansion of 1 in y 1.605 * [taylor]: Taking taylor expansion of 0 in y 1.613 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.613 * [taylor]: Taking taylor expansion of 1/2 in y 1.613 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.613 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.613 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.613 * [taylor]: Taking taylor expansion of 2 in y 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.614 * [taylor]: Taking taylor expansion of y in y 1.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.616 * [taylor]: Taking taylor expansion of 2 in y 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.628 * [taylor]: Taking taylor expansion of 0 in y 1.645 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4))))) in y 1.645 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.645 * [taylor]: Taking taylor expansion of 1/2 in y 1.645 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.645 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.645 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.645 * [taylor]: Taking taylor expansion of 2 in y 1.646 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.646 * [taylor]: Taking taylor expansion of y in y 1.648 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.648 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.648 * [taylor]: Taking taylor expansion of 1/8 in y 1.648 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.648 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.648 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.648 * [taylor]: Taking taylor expansion of 2 in y 1.649 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.649 * [taylor]: Taking taylor expansion of y in y 1.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.656 * [taylor]: Taking taylor expansion of 1/2 in y 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.656 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.656 * [taylor]: Taking taylor expansion of y in y 1.679 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in (x y) around 0 1.679 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in y 1.679 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) (/ 1 (pow y 2))) 1.679 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 1.679 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.679 * [taylor]: Taking taylor expansion of x in y 1.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.679 * [taylor]: Taking taylor expansion of 2 in y 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.682 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.683 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.683 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.683 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.683 * [taylor]: Taking taylor expansion of -1 in y 1.683 * [taylor]: Taking taylor expansion of x in y 1.683 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.683 * [taylor]: Taking taylor expansion of -1 in y 1.683 * [taylor]: Taking taylor expansion of x in y 1.683 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.683 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.683 * [taylor]: Taking taylor expansion of -1 in y 1.683 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.683 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.683 * [taylor]: Taking taylor expansion of 2 in y 1.683 * [taylor]: Taking taylor expansion of y in y 1.684 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.684 * [taylor]: Taking taylor expansion of -1 in y 1.684 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.684 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.684 * [taylor]: Taking taylor expansion of 2 in y 1.685 * [taylor]: Taking taylor expansion of y in y 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.693 * [taylor]: Taking taylor expansion of y in y 1.693 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in x 1.694 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) (/ 1 (pow y 2))) 1.694 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.694 * [taylor]: Taking taylor expansion of 2 in x 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.694 * [taylor]: Taking taylor expansion of y in x 1.696 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.696 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.696 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.696 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.696 * [taylor]: Taking taylor expansion of -1 in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.697 * [taylor]: Taking taylor expansion of -1 in x 1.697 * [taylor]: Taking taylor expansion of x in x 1.697 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.697 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.697 * [taylor]: Taking taylor expansion of -1 in x 1.697 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.697 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.697 * [taylor]: Taking taylor expansion of 2 in x 1.698 * [taylor]: Taking taylor expansion of y in x 1.698 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.698 * [taylor]: Taking taylor expansion of -1 in x 1.698 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.698 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.698 * [taylor]: Taking taylor expansion of 2 in x 1.699 * [taylor]: Taking taylor expansion of y in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.702 * [taylor]: Taking taylor expansion of y in x 1.702 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in x 1.702 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) (/ 1 (pow y 2))) 1.702 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.703 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.703 * [taylor]: Taking taylor expansion of 2 in x 1.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.703 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.703 * [taylor]: Taking taylor expansion of y in x 1.705 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.705 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.705 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.705 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.705 * [taylor]: Taking taylor expansion of -1 in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.705 * [taylor]: Taking taylor expansion of -1 in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.705 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.705 * [taylor]: Taking taylor expansion of -1 in x 1.705 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.705 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.705 * [taylor]: Taking taylor expansion of 2 in x 1.706 * [taylor]: Taking taylor expansion of y in x 1.706 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.706 * [taylor]: Taking taylor expansion of -1 in x 1.706 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.706 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.706 * [taylor]: Taking taylor expansion of 2 in x 1.707 * [taylor]: Taking taylor expansion of y in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.710 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.710 * [taylor]: Taking taylor expansion of y in x 1.711 * [taylor]: Taking taylor expansion of 1 in y 1.711 * [taylor]: Taking taylor expansion of 0 in y 1.720 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.720 * [taylor]: Taking taylor expansion of 1/2 in y 1.720 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.720 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.720 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.720 * [taylor]: Taking taylor expansion of 2 in y 1.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.721 * [taylor]: Taking taylor expansion of y in y 1.723 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.723 * [taylor]: Taking taylor expansion of 2 in y 1.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.723 * [taylor]: Taking taylor expansion of y in y 1.739 * [taylor]: Taking taylor expansion of 0 in y 1.758 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4))))) in y 1.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.758 * [taylor]: Taking taylor expansion of 1/2 in y 1.758 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.758 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.758 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.758 * [taylor]: Taking taylor expansion of 2 in y 1.759 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.759 * [taylor]: Taking taylor expansion of y in y 1.761 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.761 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.761 * [taylor]: Taking taylor expansion of 1/8 in y 1.761 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.761 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.761 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.761 * [taylor]: Taking taylor expansion of 2 in y 1.762 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.762 * [taylor]: Taking taylor expansion of y in y 1.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.766 * [taylor]: Taking taylor expansion of 1/2 in y 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.766 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.766 * [taylor]: Taking taylor expansion of y in y 1.789 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.789 * [approximate]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in (x y) around 0 1.789 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.789 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.789 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.789 * [taylor]: Taking taylor expansion of (* x x) in y 1.789 * [taylor]: Taking taylor expansion of x in y 1.789 * [taylor]: Taking taylor expansion of x in y 1.789 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.789 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.789 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.789 * [taylor]: Taking taylor expansion of 2 in y 1.790 * [taylor]: Taking taylor expansion of y in y 1.790 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.790 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.790 * [taylor]: Taking taylor expansion of 2 in y 1.791 * [taylor]: Taking taylor expansion of y in y 1.795 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.795 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.795 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.795 * [taylor]: Taking taylor expansion of (* x x) in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.795 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.795 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.795 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.796 * [taylor]: Taking taylor expansion of 2 in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.796 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.796 * [taylor]: Taking taylor expansion of 2 in x 1.797 * [taylor]: Taking taylor expansion of y in x 1.802 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.803 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.803 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.803 * [taylor]: Taking taylor expansion of (* x x) in x 1.803 * [taylor]: Taking taylor expansion of x in x 1.803 * [taylor]: Taking taylor expansion of x in x 1.803 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.803 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.803 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.803 * [taylor]: Taking taylor expansion of 2 in x 1.803 * [taylor]: Taking taylor expansion of y in x 1.803 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.803 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.803 * [taylor]: Taking taylor expansion of 2 in x 1.804 * [taylor]: Taking taylor expansion of y in x 1.809 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.809 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.809 * [taylor]: Taking taylor expansion of 2 in y 1.810 * [taylor]: Taking taylor expansion of y in y 1.810 * [taylor]: Taking taylor expansion of 0 in y 1.817 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.817 * [taylor]: Taking taylor expansion of 1/2 in y 1.817 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.817 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.817 * [taylor]: Taking taylor expansion of 2 in y 1.817 * [taylor]: Taking taylor expansion of y in y 1.831 * [taylor]: Taking taylor expansion of 0 in y 1.834 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in (x y) around 0 1.834 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.835 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.835 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.835 * [taylor]: Taking taylor expansion of x in y 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.835 * [taylor]: Taking taylor expansion of x in y 1.835 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.835 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.835 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.835 * [taylor]: Taking taylor expansion of 2 in y 1.836 * [taylor]: Taking taylor expansion of y in y 1.836 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.836 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.836 * [taylor]: Taking taylor expansion of 2 in y 1.837 * [taylor]: Taking taylor expansion of y in y 1.842 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.843 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.843 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.843 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.843 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.843 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.843 * [taylor]: Taking taylor expansion of 2 in x 1.844 * [taylor]: Taking taylor expansion of y in x 1.844 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.844 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.844 * [taylor]: Taking taylor expansion of 2 in x 1.845 * [taylor]: Taking taylor expansion of y in x 1.848 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.848 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.848 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.848 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.848 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.848 * [taylor]: Taking taylor expansion of 2 in x 1.849 * [taylor]: Taking taylor expansion of y in x 1.849 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.849 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.849 * [taylor]: Taking taylor expansion of 2 in x 1.850 * [taylor]: Taking taylor expansion of y in x 1.853 * [taylor]: Taking taylor expansion of 1 in y 1.853 * [taylor]: Taking taylor expansion of 0 in y 1.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.857 * [taylor]: Taking taylor expansion of 1/2 in y 1.857 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.857 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.857 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.857 * [taylor]: Taking taylor expansion of 2 in y 1.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.858 * [taylor]: Taking taylor expansion of y in y 1.866 * [taylor]: Taking taylor expansion of 0 in y 1.870 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in (x y) around 0 1.870 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.870 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.870 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.870 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.870 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.870 * [taylor]: Taking taylor expansion of -1 in y 1.870 * [taylor]: Taking taylor expansion of x in y 1.870 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.870 * [taylor]: Taking taylor expansion of -1 in y 1.870 * [taylor]: Taking taylor expansion of x in y 1.870 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.870 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.870 * [taylor]: Taking taylor expansion of -1 in y 1.870 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.870 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.870 * [taylor]: Taking taylor expansion of 2 in y 1.871 * [taylor]: Taking taylor expansion of y in y 1.872 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.872 * [taylor]: Taking taylor expansion of -1 in y 1.872 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.872 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.872 * [taylor]: Taking taylor expansion of 2 in y 1.872 * [taylor]: Taking taylor expansion of y in y 1.881 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.881 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.881 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.881 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.881 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.881 * [taylor]: Taking taylor expansion of -1 in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.881 * [taylor]: Taking taylor expansion of -1 in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.882 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.882 * [taylor]: Taking taylor expansion of -1 in x 1.882 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.882 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.882 * [taylor]: Taking taylor expansion of 2 in x 1.882 * [taylor]: Taking taylor expansion of y in x 1.883 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.883 * [taylor]: Taking taylor expansion of -1 in x 1.883 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.883 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.883 * [taylor]: Taking taylor expansion of 2 in x 1.883 * [taylor]: Taking taylor expansion of y in x 1.886 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.887 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.887 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.887 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.887 * [taylor]: Taking taylor expansion of -1 in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.887 * [taylor]: Taking taylor expansion of -1 in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.887 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.887 * [taylor]: Taking taylor expansion of -1 in x 1.887 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.887 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.887 * [taylor]: Taking taylor expansion of 2 in x 1.888 * [taylor]: Taking taylor expansion of y in x 1.888 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.888 * [taylor]: Taking taylor expansion of -1 in x 1.888 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.888 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.888 * [taylor]: Taking taylor expansion of 2 in x 1.889 * [taylor]: Taking taylor expansion of y in x 1.892 * [taylor]: Taking taylor expansion of 1 in y 1.892 * [taylor]: Taking taylor expansion of 0 in y 1.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.897 * [taylor]: Taking taylor expansion of 1/2 in y 1.897 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.897 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.897 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.897 * [taylor]: Taking taylor expansion of 2 in y 1.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.898 * [taylor]: Taking taylor expansion of y in y 1.907 * [taylor]: Taking taylor expansion of 0 in y 1.914 * * * [progress]: simplifying candidates 1.915 * [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 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (+ (log (sqrt 2)) (log y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y)) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (* (sqrt 2) 1) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (expm1 (hypot x (* (sqrt 2) y))) (log1p (hypot x (* (sqrt 2) y))) (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) (log (hypot x (* (sqrt 2) y))) (exp (hypot x (* (sqrt 2) y))) (* (cbrt (hypot x (* (sqrt 2) y))) (cbrt (hypot x (* (sqrt 2) y)))) (cbrt (hypot x (* (sqrt 2) y))) (* (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2))))) (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2))))) (* (sqrt 2) y) x (* -1 x) 1.920 * * [simplify]: iteration 0 : 218 enodes (cost 489 ) 1.926 * * [simplify]: iteration 1 : 897 enodes (cost 432 ) 1.948 * * [simplify]: iteration 2 : 5001 enodes (cost 383 ) 1.951 * [simplify]: Simplified to: (expm1 (hypot x (* (sqrt 2) y))) (log1p (hypot x (* (sqrt 2) y))) (log (hypot x (* (sqrt 2) y))) (exp (hypot x (* (sqrt 2) y))) (* (cbrt (hypot x (* (sqrt 2) y))) (cbrt (hypot x (* (sqrt 2) y)))) (cbrt (hypot x (* (sqrt 2) 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 (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) 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 (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (log (* (sqrt 2) y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (sqrt 2) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (fma y y (fma x x (* y y))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (* (pow (exp (hypot x (* (sqrt 2) y))) (hypot x (* (sqrt 2) y))) (exp (pow y 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (pow (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (hypot x (* (sqrt 2) y)) (pow y 2)) 3) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (expm1 (hypot x (* (sqrt 2) y))) (log1p (hypot x (* (sqrt 2) y))) (fma y y (fma x x (* y y))) (log (hypot x (* (sqrt 2) y))) (exp (hypot x (* (sqrt 2) y))) (* (cbrt (hypot x (* (sqrt 2) y))) (cbrt (hypot x (* (sqrt 2) y)))) (cbrt (hypot x (* (sqrt 2) y))) (pow (hypot x (* (sqrt 2) y)) 3) (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (fma x x (* 3 (pow y 2))) (fma x x (* 3 (pow y 2))) (fma x x (* 3 (pow y 2))) (* (sqrt 2) y) x (* -1 x) 1.951 * * * [progress]: adding candidates to table 2.149 * [progress]: [Phase 3 of 3] Extracting. 2.149 * * [regime]: Finding splitpoints for: (# # # # #) 2.150 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 2.150 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 2.170 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 2.192 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.213 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.236 * * * [regime]: Found split indices: #