19.234 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.025 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.027 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.029 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.031 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.032 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.034 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.037 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.039 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.042 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.045 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.052 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.082 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.311 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.312 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.314 * * [progress]: iteration 1 / 4 0.315 * * * [progress]: picking best candidate 0.317 * * * * [pick]: Picked # 0.317 * * * [progress]: localizing error 0.324 * * * [progress]: generating rewritten candidates 0.324 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.378 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.391 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.395 * * * [progress]: generating series expansions 0.395 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.395 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of 3 in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of 3 in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of 3 in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of 3 in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of 1 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.405 * [taylor]: Taking taylor expansion of 3 in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.407 * [taylor]: Taking taylor expansion of 3 in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.407 * [taylor]: Taking taylor expansion of 3 in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of 1 in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.410 * [taylor]: Taking taylor expansion of 3 in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.419 * [taylor]: Taking taylor expansion of 3 in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.420 * [taylor]: Taking taylor expansion of 3 in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of 3 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of 1 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.423 * [taylor]: Taking taylor expansion of 3 in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.432 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.432 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of 2 in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of 2 in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of 2 in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of 2 in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of 1 in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.441 * [taylor]: Taking taylor expansion of 2 in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of 2 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of 2 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of 1 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.446 * [taylor]: Taking taylor expansion of 2 in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.454 * [taylor]: Taking taylor expansion of 2 in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.456 * [taylor]: Taking taylor expansion of 2 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.456 * [taylor]: Taking taylor expansion of 2 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.457 * [taylor]: Taking taylor expansion of 1 in y 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.461 * [taylor]: Taking taylor expansion of 2 in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.470 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.470 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of 1 in y 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of 1 in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of 1 in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.498 * * * [progress]: simplifying candidates 0.499 * [simplify]: Simplifying using # : (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.504 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.510 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.533 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.638 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.640 * [simplify]: Simplified to: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3)) (+ (pow y 4) (* (fma x x (fma y y (* y y))) (fma x x (* y y)))) (* (fma x x (* y y)) (fma y y (fma x x (fma y y (* y y))))) (fma x x (* y y)) (fma y y (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (exp (+ (fma x x (* y y)) (pow y 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* y y)) 3)) (+ (* (pow x 2) (fma x x (* y y))) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.640 * * * [progress]: adding candidates to table 0.763 * * [progress]: iteration 2 / 4 0.763 * * * [progress]: picking best candidate 0.773 * * * * [pick]: Picked # 0.773 * * * [progress]: localizing error 0.781 * * * [progress]: generating rewritten candidates 0.781 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.796 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.810 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.811 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.825 * * * [progress]: generating series expansions 0.825 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.825 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.825 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.825 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.825 * [taylor]: Taking taylor expansion of x in y 0.825 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.825 * [taylor]: Taking taylor expansion of 2 in y 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.826 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of 2 in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.827 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.827 * [taylor]: Taking taylor expansion of 2 in x 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.828 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.829 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.829 * [taylor]: Taking taylor expansion of 2 in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.833 * [taylor]: Taking taylor expansion of 1/2 in y 0.833 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.833 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.833 * [taylor]: Taking taylor expansion of 2 in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.844 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.844 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.844 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.845 * [taylor]: Taking taylor expansion of 2 in y 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.848 * [taylor]: Taking taylor expansion of 2 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.851 * [taylor]: Taking taylor expansion of 2 in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of 1 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.863 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.864 * [taylor]: Taking taylor expansion of 2 in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.868 * [taylor]: Taking taylor expansion of 2 in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.870 * [taylor]: Taking taylor expansion of 2 in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.870 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of 1 in y 0.873 * [taylor]: Taking taylor expansion of 0 in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.879 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.879 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.879 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.879 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.879 * [taylor]: Taking taylor expansion of x in y 0.879 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.880 * [taylor]: Taking taylor expansion of 2 in y 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.880 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.880 * [taylor]: Taking taylor expansion of 2 in x 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.881 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.881 * [taylor]: Taking taylor expansion of 2 in x 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.882 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.882 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.882 * [taylor]: Taking taylor expansion of 2 in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.887 * [taylor]: Taking taylor expansion of 1/2 in y 0.887 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.887 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.887 * [taylor]: Taking taylor expansion of 2 in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.895 * [taylor]: Taking taylor expansion of 0 in y 0.898 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.898 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.898 * [taylor]: Taking taylor expansion of 2 in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.902 * [taylor]: Taking taylor expansion of 2 in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.905 * [taylor]: Taking taylor expansion of 2 in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of 1 in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.915 * [taylor]: Taking taylor expansion of 2 in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2))) in x 0.918 * [taylor]: Taking taylor expansion of 2 in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.921 * [taylor]: Taking taylor expansion of 2 in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of 1 in y 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.930 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.930 * [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 0.930 * [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 0.930 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.931 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 0.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.931 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.931 * [taylor]: Taking taylor expansion of 2 in y 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.931 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.931 * [taylor]: Taking taylor expansion of 2 in y 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [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 0.932 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.932 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.932 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.932 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.932 * [taylor]: Taking taylor expansion of 2 in x 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.933 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.933 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.933 * [taylor]: Taking taylor expansion of 2 in x 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [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 0.934 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.934 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.935 * [taylor]: Taking taylor expansion of 2 in x 0.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.936 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.936 * [taylor]: Taking taylor expansion of 2 in x 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 0.938 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.938 * [taylor]: Taking taylor expansion of 2 in y 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [taylor]: Taking taylor expansion of 1 in y 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.975 * [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 0.975 * [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 0.975 * [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))) 0.975 * [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 0.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.975 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.975 * [taylor]: Taking taylor expansion of x in y 0.976 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.976 * [taylor]: Taking taylor expansion of 2 in y 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.979 * [taylor]: Taking taylor expansion of x in y 0.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.979 * [taylor]: Taking taylor expansion of 2 in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [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 0.983 * [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))) 0.983 * [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 0.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.983 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.983 * [taylor]: Taking taylor expansion of 2 in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.983 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.983 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.986 * [taylor]: Taking taylor expansion of 2 in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.986 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.988 * [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 0.988 * [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))) 0.988 * [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 0.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.989 * [taylor]: Taking taylor expansion of 2 in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.989 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.992 * [taylor]: Taking taylor expansion of 2 in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of 1 in y 0.995 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.000 * [taylor]: Taking taylor expansion of 3 in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of 0 in y 1.016 * [taylor]: Taking taylor expansion of 0 in y 1.018 * [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 1.018 * [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 1.019 * [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))) 1.019 * [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 1.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.019 * [taylor]: Taking taylor expansion of x in y 1.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.019 * [taylor]: Taking taylor expansion of 2 in y 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.022 * [taylor]: Taking taylor expansion of x in y 1.022 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.022 * [taylor]: Taking taylor expansion of 2 in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.026 * [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 1.026 * [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))) 1.026 * [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 1.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.027 * [taylor]: Taking taylor expansion of 2 in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.029 * [taylor]: Taking taylor expansion of 2 in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.035 * [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 1.035 * [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))) 1.035 * [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 1.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.035 * [taylor]: Taking taylor expansion of 2 in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.036 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.038 * [taylor]: Taking taylor expansion of 2 in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of 1 in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.046 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.046 * [taylor]: Taking taylor expansion of 3 in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of 0 in y 1.063 * [taylor]: Taking taylor expansion of 0 in y 1.064 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.065 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.065 * [taylor]: Taking taylor expansion of 2 in y 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 (pow y 2)) in x 1.065 * [taylor]: Taking taylor expansion of 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 1.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 (pow y 2)) in x 1.065 * [taylor]: Taking taylor expansion of 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 1.065 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.065 * [taylor]: Taking taylor expansion of 2 in y 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.066 * [taylor]: Taking taylor expansion of 0 in y 1.067 * [taylor]: Taking taylor expansion of 1 in y 1.070 * [taylor]: Taking taylor expansion of 0 in y 1.073 * [taylor]: Taking taylor expansion of 0 in y 1.074 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.074 * [taylor]: Taking taylor expansion of x in y 1.074 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.074 * [taylor]: Taking taylor expansion of 2 in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.075 * [taylor]: Taking taylor expansion of 2 in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.076 * [taylor]: Taking taylor expansion of 2 in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of 1 in y 1.077 * [taylor]: Taking taylor expansion of 0 in y 1.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.079 * [taylor]: Taking taylor expansion of 2 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 1.081 * [taylor]: Taking taylor expansion of 0 in y 1.085 * [taylor]: Taking taylor expansion of 0 in y 1.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.087 * [taylor]: Taking taylor expansion of x in y 1.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.087 * [taylor]: Taking taylor expansion of 2 in y 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.087 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.088 * [taylor]: Taking taylor expansion of 2 in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.089 * [taylor]: Taking taylor expansion of 2 in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.089 * [taylor]: Taking taylor expansion of y in x 1.089 * [taylor]: Taking taylor expansion of 1 in y 1.090 * [taylor]: Taking taylor expansion of 0 in y 1.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.092 * [taylor]: Taking taylor expansion of 2 in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.094 * [taylor]: Taking taylor expansion of 0 in y 1.098 * [taylor]: Taking taylor expansion of 0 in y 1.100 * * * [progress]: simplifying candidates 1.101 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.106 * * [simplify]: iteration 0 : 175 enodes (cost 645 ) 1.112 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.127 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.195 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.198 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma x x (fma y y (* y y))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (pow (fma (pow y 2) 3 (pow x 2)) 3) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (exp (fma x x (fma y y (* y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)) (fma y (pow y 5) (pow (fma x x (* y y)) 3)) (fma (pow x 2) (fma x x (* y y)) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) 1.198 * * * [progress]: adding candidates to table 1.414 * * [progress]: iteration 3 / 4 1.414 * * * [progress]: picking best candidate 1.426 * * * * [pick]: Picked # 1.426 * * * [progress]: localizing error 1.437 * * * [progress]: generating rewritten candidates 1.437 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.494 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.552 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.767 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.822 * * * [progress]: generating series expansions 1.822 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.823 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.823 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.823 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.823 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.823 * [taylor]: Taking taylor expansion of x in y 1.823 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.823 * [taylor]: Taking taylor expansion of 3 in y 1.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.823 * [taylor]: Taking taylor expansion of y in y 1.824 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.824 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.824 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.824 * [taylor]: Taking taylor expansion of 3 in x 1.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.824 * [taylor]: Taking taylor expansion of y in x 1.825 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.825 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.825 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.825 * [taylor]: Taking taylor expansion of 3 in x 1.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.825 * [taylor]: Taking taylor expansion of y in x 1.826 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.826 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.826 * [taylor]: Taking taylor expansion of 3 in y 1.827 * [taylor]: Taking taylor expansion of y in y 1.827 * [taylor]: Taking taylor expansion of 0 in y 1.831 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.831 * [taylor]: Taking taylor expansion of 1/2 in y 1.831 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.831 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.831 * [taylor]: Taking taylor expansion of 3 in y 1.832 * [taylor]: Taking taylor expansion of y in y 1.842 * [taylor]: Taking taylor expansion of 0 in y 1.845 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.845 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.845 * [taylor]: Taking taylor expansion of x in y 1.845 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.845 * [taylor]: Taking taylor expansion of 3 in y 1.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.846 * [taylor]: Taking taylor expansion of y in y 1.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.849 * [taylor]: Taking taylor expansion of x in x 1.849 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.849 * [taylor]: Taking taylor expansion of 3 in x 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.849 * [taylor]: Taking taylor expansion of y in x 1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.852 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.852 * [taylor]: Taking taylor expansion of 3 in x 1.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.852 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.852 * [taylor]: Taking taylor expansion of y in x 1.854 * [taylor]: Taking taylor expansion of 1 in y 1.854 * [taylor]: Taking taylor expansion of 0 in y 1.856 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.856 * [taylor]: Taking taylor expansion of 3/2 in y 1.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.856 * [taylor]: Taking taylor expansion of y in y 1.859 * [taylor]: Taking taylor expansion of 0 in y 1.861 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.861 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.861 * [taylor]: Taking taylor expansion of x in y 1.861 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.861 * [taylor]: Taking taylor expansion of 3 in y 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.861 * [taylor]: Taking taylor expansion of y in y 1.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.865 * [taylor]: Taking taylor expansion of 3 in x 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.865 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.865 * [taylor]: Taking taylor expansion of y in x 1.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.867 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.868 * [taylor]: Taking taylor expansion of 3 in x 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.868 * [taylor]: Taking taylor expansion of y in x 1.870 * [taylor]: Taking taylor expansion of 1 in y 1.870 * [taylor]: Taking taylor expansion of 0 in y 1.872 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.872 * [taylor]: Taking taylor expansion of 3/2 in y 1.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.872 * [taylor]: Taking taylor expansion of y in y 1.876 * [taylor]: Taking taylor expansion of 0 in y 1.877 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.877 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.877 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.877 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.877 * [taylor]: Taking taylor expansion of x in y 1.877 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.877 * [taylor]: Taking taylor expansion of 3 in y 1.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.877 * [taylor]: Taking taylor expansion of y in y 1.878 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.878 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.878 * [taylor]: Taking taylor expansion of x in x 1.878 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.878 * [taylor]: Taking taylor expansion of 3 in x 1.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.878 * [taylor]: Taking taylor expansion of y in x 1.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.879 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.879 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.879 * [taylor]: Taking taylor expansion of 3 in x 1.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.879 * [taylor]: Taking taylor expansion of y in x 1.880 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.880 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.880 * [taylor]: Taking taylor expansion of 3 in y 1.881 * [taylor]: Taking taylor expansion of y in y 1.881 * [taylor]: Taking taylor expansion of 0 in y 1.885 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.885 * [taylor]: Taking taylor expansion of 1/2 in y 1.885 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.885 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.885 * [taylor]: Taking taylor expansion of 3 in y 1.886 * [taylor]: Taking taylor expansion of y in y 1.893 * [taylor]: Taking taylor expansion of 0 in y 1.896 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.896 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.896 * [taylor]: Taking taylor expansion of x in y 1.896 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.896 * [taylor]: Taking taylor expansion of 3 in y 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.896 * [taylor]: Taking taylor expansion of y in y 1.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.900 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.900 * [taylor]: Taking taylor expansion of 3 in x 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.900 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.900 * [taylor]: Taking taylor expansion of y in x 1.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.903 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.903 * [taylor]: Taking taylor expansion of 3 in x 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.903 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.903 * [taylor]: Taking taylor expansion of y in x 1.905 * [taylor]: Taking taylor expansion of 1 in y 1.905 * [taylor]: Taking taylor expansion of 0 in y 1.907 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.907 * [taylor]: Taking taylor expansion of 3/2 in y 1.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.907 * [taylor]: Taking taylor expansion of y in y 1.911 * [taylor]: Taking taylor expansion of 0 in y 1.912 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.912 * [taylor]: Taking taylor expansion of x in y 1.912 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.912 * [taylor]: Taking taylor expansion of 3 in y 1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.912 * [taylor]: Taking taylor expansion of y in y 1.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.916 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.916 * [taylor]: Taking taylor expansion of 3 in x 1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.916 * [taylor]: Taking taylor expansion of y in x 1.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.919 * [taylor]: Taking taylor expansion of 3 in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.919 * [taylor]: Taking taylor expansion of y in x 1.921 * [taylor]: Taking taylor expansion of 1 in y 1.923 * [taylor]: Taking taylor expansion of 0 in y 1.926 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.926 * [taylor]: Taking taylor expansion of 3/2 in y 1.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.926 * [taylor]: Taking taylor expansion of y in y 1.929 * [taylor]: Taking taylor expansion of 0 in y 1.931 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.932 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.932 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.932 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.932 * [taylor]: Taking taylor expansion of x in y 1.932 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.932 * [taylor]: Taking taylor expansion of 3 in y 1.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.932 * [taylor]: Taking taylor expansion of y in y 1.932 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.932 * [taylor]: Taking taylor expansion of 3 in x 1.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.932 * [taylor]: Taking taylor expansion of y in x 1.932 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.932 * [taylor]: Taking taylor expansion of 3 in x 1.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.932 * [taylor]: Taking taylor expansion of y in x 1.932 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.932 * [taylor]: Taking taylor expansion of 3 in y 1.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.932 * [taylor]: Taking taylor expansion of y in y 1.933 * [taylor]: Taking taylor expansion of 0 in y 1.934 * [taylor]: Taking taylor expansion of 1 in y 1.937 * [taylor]: Taking taylor expansion of 0 in y 1.940 * [taylor]: Taking taylor expansion of 0 in y 1.941 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.941 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.941 * [taylor]: Taking taylor expansion of x in y 1.941 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.941 * [taylor]: Taking taylor expansion of 3 in y 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.941 * [taylor]: Taking taylor expansion of y in y 1.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.942 * [taylor]: Taking taylor expansion of 3 in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.942 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.942 * [taylor]: Taking taylor expansion of y in x 1.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.943 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.943 * [taylor]: Taking taylor expansion of 3 in x 1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.943 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.943 * [taylor]: Taking taylor expansion of y in x 1.944 * [taylor]: Taking taylor expansion of 1 in y 1.945 * [taylor]: Taking taylor expansion of 0 in y 1.946 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.946 * [taylor]: Taking taylor expansion of 3 in y 1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.946 * [taylor]: Taking taylor expansion of y in y 1.948 * [taylor]: Taking taylor expansion of 0 in y 1.952 * [taylor]: Taking taylor expansion of 0 in y 1.955 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.955 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.955 * [taylor]: Taking taylor expansion of x in y 1.955 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.955 * [taylor]: Taking taylor expansion of 3 in y 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.955 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.955 * [taylor]: Taking taylor expansion of y in y 1.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.956 * [taylor]: Taking taylor expansion of 3 in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.956 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.956 * [taylor]: Taking taylor expansion of y in x 1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.957 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.957 * [taylor]: Taking taylor expansion of 3 in x 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.957 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.957 * [taylor]: Taking taylor expansion of y in x 1.957 * [taylor]: Taking taylor expansion of 1 in y 1.958 * [taylor]: Taking taylor expansion of 0 in y 1.959 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.959 * [taylor]: Taking taylor expansion of 3 in y 1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.959 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.959 * [taylor]: Taking taylor expansion of y in y 1.962 * [taylor]: Taking taylor expansion of 0 in y 1.966 * [taylor]: Taking taylor expansion of 0 in y 1.968 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.968 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.968 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.968 * [taylor]: Taking taylor expansion of x in y 1.968 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.968 * [taylor]: Taking taylor expansion of 3 in y 1.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.968 * [taylor]: Taking taylor expansion of y in y 1.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.968 * [taylor]: Taking taylor expansion of 3 in x 1.968 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.968 * [taylor]: Taking taylor expansion of y in x 1.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.968 * [taylor]: Taking taylor expansion of 3 in x 1.968 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.968 * [taylor]: Taking taylor expansion of y in x 1.969 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.969 * [taylor]: Taking taylor expansion of 3 in y 1.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.969 * [taylor]: Taking taylor expansion of y in y 1.970 * [taylor]: Taking taylor expansion of 0 in y 1.971 * [taylor]: Taking taylor expansion of 1 in y 1.973 * [taylor]: Taking taylor expansion of 0 in y 1.977 * [taylor]: Taking taylor expansion of 0 in y 1.977 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.977 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.977 * [taylor]: Taking taylor expansion of x in y 1.977 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.977 * [taylor]: Taking taylor expansion of 3 in y 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.977 * [taylor]: Taking taylor expansion of y in y 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.978 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.979 * [taylor]: Taking taylor expansion of 3 in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.979 * [taylor]: Taking taylor expansion of y in x 1.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.979 * [taylor]: Taking taylor expansion of 3 in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.979 * [taylor]: Taking taylor expansion of y in x 1.980 * [taylor]: Taking taylor expansion of 1 in y 1.981 * [taylor]: Taking taylor expansion of 0 in y 1.982 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.982 * [taylor]: Taking taylor expansion of 3 in y 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.982 * [taylor]: Taking taylor expansion of y in y 1.985 * [taylor]: Taking taylor expansion of 0 in y 1.988 * [taylor]: Taking taylor expansion of 0 in y 1.990 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.990 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.990 * [taylor]: Taking taylor expansion of x in y 1.991 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.991 * [taylor]: Taking taylor expansion of 3 in y 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.992 * [taylor]: Taking taylor expansion of 3 in x 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.992 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.992 * [taylor]: Taking taylor expansion of y in x 1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.992 * [taylor]: Taking taylor expansion of 3 in x 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.992 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.993 * [taylor]: Taking taylor expansion of y in x 1.993 * [taylor]: Taking taylor expansion of 1 in y 1.994 * [taylor]: Taking taylor expansion of 0 in y 1.995 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.995 * [taylor]: Taking taylor expansion of 3 in y 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.995 * [taylor]: Taking taylor expansion of y in y 1.998 * [taylor]: Taking taylor expansion of 0 in y 2.002 * [taylor]: Taking taylor expansion of 0 in y 2.004 * * * [progress]: simplifying candidates 2.006 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (log (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (exp (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) 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(+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))))) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (hypot (pow (+ (+ (* x x) (* y y)) (* y y)) 3/2) (pow y 3))) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))))) (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 (* (pow y 4) y) y (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)) 1) (fma (pow y 2) 3 (pow x 2))) (fma x x (* y y)) (fma y y (* y y)) (* (sqrt 3) y) x (* -1 x) (* (sqrt 3) 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 (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) 2.058 * * * [progress]: adding candidates to table 2.308 * * [progress]: iteration 4 / 4 2.308 * * * [progress]: picking best candidate 2.319 * * * * [pick]: Picked # 2.319 * * * [progress]: localizing error 2.333 * * * [progress]: generating rewritten candidates 2.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 2.341 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 2.348 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 2.355 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.439 * * * [progress]: generating series expansions 2.439 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 2.439 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in (x y) around 0 2.439 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in y 2.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in y 2.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in y 2.439 * [taylor]: Taking taylor expansion of 1/3 in y 2.439 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in y 2.439 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 2.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.439 * [taylor]: Taking taylor expansion of x in y 2.439 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.439 * [taylor]: Taking taylor expansion of 2 in y 2.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.439 * [taylor]: Taking taylor expansion of y in y 2.440 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 2.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 2.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 2.440 * [taylor]: Taking taylor expansion of 1/3 in x 2.440 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 2.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.440 * [taylor]: Taking taylor expansion of x in x 2.440 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.440 * [taylor]: Taking taylor expansion of 2 in x 2.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.440 * [taylor]: Taking taylor expansion of y in x 2.441 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 2.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 2.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 2.441 * [taylor]: Taking taylor expansion of 1/3 in x 2.441 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 2.441 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.441 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.441 * [taylor]: Taking taylor expansion of 2 in x 2.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.441 * [taylor]: Taking taylor expansion of y in x 2.441 * [taylor]: Taking taylor expansion of (pow (* 2 (pow y 2)) 1/3) in y 2.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* 2 (pow y 2))))) in y 2.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 2 (pow y 2)))) in y 2.441 * [taylor]: Taking taylor expansion of 1/3 in y 2.441 * [taylor]: Taking taylor expansion of (log (* 2 (pow y 2))) in y 2.441 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.441 * [taylor]: Taking taylor expansion of 2 in y 2.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.441 * [taylor]: Taking taylor expansion of y in y 2.446 * [taylor]: Taking taylor expansion of 0 in y 2.454 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 2 (pow y 4)) 1/3)) in y 2.454 * [taylor]: Taking taylor expansion of 1/6 in y 2.454 * [taylor]: Taking taylor expansion of (pow (/ 2 (pow y 4)) 1/3) in y 2.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow y 4))))) in y 2.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 2 (pow y 4)))) in y 2.454 * [taylor]: Taking taylor expansion of 1/3 in y 2.454 * [taylor]: Taking taylor expansion of (log (/ 2 (pow y 4))) in y 2.454 * [taylor]: Taking taylor expansion of (/ 2 (pow y 4)) in y 2.454 * [taylor]: Taking taylor expansion of 2 in y 2.454 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.454 * [taylor]: Taking taylor expansion of y in y 2.467 * [taylor]: Taking taylor expansion of 0 in y 2.483 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 2.483 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 2.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 2.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 2.483 * [taylor]: Taking taylor expansion of 1/3 in y 2.483 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.483 * [taylor]: Taking taylor expansion of x in y 2.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.483 * [taylor]: Taking taylor expansion of 2 in y 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.483 * [taylor]: Taking taylor expansion of y in y 2.486 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.486 * [taylor]: Taking taylor expansion of 1/3 in x 2.486 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.486 * [taylor]: Taking taylor expansion of x in x 2.486 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.486 * [taylor]: Taking taylor expansion of 2 in x 2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.486 * [taylor]: Taking taylor expansion of y in x 2.487 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.488 * [taylor]: Taking taylor expansion of 1/3 in x 2.488 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.488 * [taylor]: Taking taylor expansion of 2 in x 2.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.488 * [taylor]: Taking taylor expansion of y in x 2.489 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.489 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.489 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.489 * [taylor]: Taking taylor expansion of -2/3 in y 2.489 * [taylor]: Taking taylor expansion of (log x) in y 2.489 * [taylor]: Taking taylor expansion of x in y 2.492 * [taylor]: Taking taylor expansion of 0 in y 2.498 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.498 * [taylor]: Taking taylor expansion of 2/3 in y 2.498 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.498 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.498 * [taylor]: Taking taylor expansion of 1/3 in y 2.498 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.498 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.498 * [taylor]: Taking taylor expansion of x in y 2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.498 * [taylor]: Taking taylor expansion of y in y 2.516 * [taylor]: Taking taylor expansion of 0 in y 2.516 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 2.516 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 2.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 2.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 2.516 * [taylor]: Taking taylor expansion of 1/3 in y 2.516 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.516 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.516 * [taylor]: Taking taylor expansion of x in y 2.516 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.516 * [taylor]: Taking taylor expansion of 2 in y 2.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.516 * [taylor]: Taking taylor expansion of y in y 2.519 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.519 * [taylor]: Taking taylor expansion of 1/3 in x 2.519 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.519 * [taylor]: Taking taylor expansion of 2 in x 2.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.519 * [taylor]: Taking taylor expansion of y in x 2.520 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.521 * [taylor]: Taking taylor expansion of 1/3 in x 2.521 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.521 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.521 * [taylor]: Taking taylor expansion of 2 in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.521 * [taylor]: Taking taylor expansion of y in x 2.522 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.522 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.522 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.522 * [taylor]: Taking taylor expansion of -2/3 in y 2.522 * [taylor]: Taking taylor expansion of (log x) in y 2.522 * [taylor]: Taking taylor expansion of x in y 2.525 * [taylor]: Taking taylor expansion of 0 in y 2.530 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.530 * [taylor]: Taking taylor expansion of 2/3 in y 2.530 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.530 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.530 * [taylor]: Taking taylor expansion of 1/3 in y 2.530 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.530 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.530 * [taylor]: Taking taylor expansion of x in y 2.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.531 * [taylor]: Taking taylor expansion of y in y 2.548 * [taylor]: Taking taylor expansion of 0 in y 2.548 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 2.548 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in (x y) around 0 2.548 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in y 2.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in y 2.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in y 2.549 * [taylor]: Taking taylor expansion of 1/3 in y 2.549 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in y 2.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 2.549 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.549 * [taylor]: Taking taylor expansion of x in y 2.549 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.549 * [taylor]: Taking taylor expansion of 2 in y 2.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.549 * [taylor]: Taking taylor expansion of y in y 2.549 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 2.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 2.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 2.549 * [taylor]: Taking taylor expansion of 1/3 in x 2.549 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 2.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.549 * [taylor]: Taking taylor expansion of x in x 2.549 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.549 * [taylor]: Taking taylor expansion of 2 in x 2.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.549 * [taylor]: Taking taylor expansion of y in x 2.550 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 2.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 2.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 2.550 * [taylor]: Taking taylor expansion of 1/3 in x 2.550 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 2.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.550 * [taylor]: Taking taylor expansion of x in x 2.550 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.550 * [taylor]: Taking taylor expansion of 2 in x 2.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.550 * [taylor]: Taking taylor expansion of y in x 2.550 * [taylor]: Taking taylor expansion of (pow (* 2 (pow y 2)) 1/3) in y 2.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* 2 (pow y 2))))) in y 2.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 2 (pow y 2)))) in y 2.550 * [taylor]: Taking taylor expansion of 1/3 in y 2.550 * [taylor]: Taking taylor expansion of (log (* 2 (pow y 2))) in y 2.550 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.550 * [taylor]: Taking taylor expansion of 2 in y 2.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.550 * [taylor]: Taking taylor expansion of y in y 2.555 * [taylor]: Taking taylor expansion of 0 in y 2.562 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 2 (pow y 4)) 1/3)) in y 2.562 * [taylor]: Taking taylor expansion of 1/6 in y 2.562 * [taylor]: Taking taylor expansion of (pow (/ 2 (pow y 4)) 1/3) in y 2.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow y 4))))) in y 2.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 2 (pow y 4)))) in y 2.562 * [taylor]: Taking taylor expansion of 1/3 in y 2.562 * [taylor]: Taking taylor expansion of (log (/ 2 (pow y 4))) in y 2.562 * [taylor]: Taking taylor expansion of (/ 2 (pow y 4)) in y 2.562 * [taylor]: Taking taylor expansion of 2 in y 2.562 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.562 * [taylor]: Taking taylor expansion of y in y 2.579 * [taylor]: Taking taylor expansion of 0 in y 2.590 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 2.590 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 2.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 2.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 2.590 * [taylor]: Taking taylor expansion of 1/3 in y 2.590 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.590 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.590 * [taylor]: Taking taylor expansion of x in y 2.591 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.591 * [taylor]: Taking taylor expansion of 2 in y 2.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.591 * [taylor]: Taking taylor expansion of y in y 2.593 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.593 * [taylor]: Taking taylor expansion of 1/3 in x 2.593 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.594 * [taylor]: Taking taylor expansion of 2 in x 2.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.594 * [taylor]: Taking taylor expansion of y in x 2.595 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.595 * [taylor]: Taking taylor expansion of 1/3 in x 2.595 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.596 * [taylor]: Taking taylor expansion of 2 in x 2.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.596 * [taylor]: Taking taylor expansion of y in x 2.597 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.597 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.597 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.597 * [taylor]: Taking taylor expansion of -2/3 in y 2.597 * [taylor]: Taking taylor expansion of (log x) in y 2.597 * [taylor]: Taking taylor expansion of x in y 2.600 * [taylor]: Taking taylor expansion of 0 in y 2.605 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.605 * [taylor]: Taking taylor expansion of 2/3 in y 2.605 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.605 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.605 * [taylor]: Taking taylor expansion of 1/3 in y 2.605 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.605 * [taylor]: Taking taylor expansion of x in y 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.605 * [taylor]: Taking taylor expansion of y in y 2.622 * [taylor]: Taking taylor expansion of 0 in y 2.623 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 2.623 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 2.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 2.623 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 2.623 * [taylor]: Taking taylor expansion of 1/3 in y 2.623 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.623 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.623 * [taylor]: Taking taylor expansion of x in y 2.623 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.623 * [taylor]: Taking taylor expansion of 2 in y 2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.623 * [taylor]: Taking taylor expansion of y in y 2.625 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.625 * [taylor]: Taking taylor expansion of 1/3 in x 2.626 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.626 * [taylor]: Taking taylor expansion of 2 in x 2.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.626 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.626 * [taylor]: Taking taylor expansion of y in x 2.627 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.627 * [taylor]: Taking taylor expansion of 1/3 in x 2.627 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.628 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.628 * [taylor]: Taking taylor expansion of 2 in x 2.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.628 * [taylor]: Taking taylor expansion of y in x 2.629 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.629 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.629 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.629 * [taylor]: Taking taylor expansion of -2/3 in y 2.629 * [taylor]: Taking taylor expansion of (log x) in y 2.629 * [taylor]: Taking taylor expansion of x in y 2.632 * [taylor]: Taking taylor expansion of 0 in y 2.637 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.637 * [taylor]: Taking taylor expansion of 2/3 in y 2.637 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.637 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.638 * [taylor]: Taking taylor expansion of 1/3 in y 2.638 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.638 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.638 * [taylor]: Taking taylor expansion of x in y 2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.638 * [taylor]: Taking taylor expansion of y in y 2.655 * [taylor]: Taking taylor expansion of 0 in y 2.656 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 2.656 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in (x y) around 0 2.656 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in y 2.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in y 2.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in y 2.656 * [taylor]: Taking taylor expansion of 1/3 in y 2.656 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in y 2.656 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 2.656 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.656 * [taylor]: Taking taylor expansion of x in y 2.656 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.656 * [taylor]: Taking taylor expansion of 2 in y 2.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.656 * [taylor]: Taking taylor expansion of y in y 2.657 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 2.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 2.657 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 2.657 * [taylor]: Taking taylor expansion of 1/3 in x 2.657 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 2.657 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.657 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.657 * [taylor]: Taking taylor expansion of x in x 2.657 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.657 * [taylor]: Taking taylor expansion of 2 in x 2.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.657 * [taylor]: Taking taylor expansion of y in x 2.657 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 2.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 2.657 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 2.657 * [taylor]: Taking taylor expansion of 1/3 in x 2.657 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 2.657 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.657 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.657 * [taylor]: Taking taylor expansion of x in x 2.657 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.657 * [taylor]: Taking taylor expansion of 2 in x 2.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.657 * [taylor]: Taking taylor expansion of y in x 2.658 * [taylor]: Taking taylor expansion of (pow (* 2 (pow y 2)) 1/3) in y 2.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* 2 (pow y 2))))) in y 2.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 2 (pow y 2)))) in y 2.658 * [taylor]: Taking taylor expansion of 1/3 in y 2.658 * [taylor]: Taking taylor expansion of (log (* 2 (pow y 2))) in y 2.658 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.658 * [taylor]: Taking taylor expansion of 2 in y 2.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.658 * [taylor]: Taking taylor expansion of y in y 2.666 * [taylor]: Taking taylor expansion of 0 in y 2.673 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 2 (pow y 4)) 1/3)) in y 2.673 * [taylor]: Taking taylor expansion of 1/6 in y 2.673 * [taylor]: Taking taylor expansion of (pow (/ 2 (pow y 4)) 1/3) in y 2.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow y 4))))) in y 2.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 2 (pow y 4)))) in y 2.673 * [taylor]: Taking taylor expansion of 1/3 in y 2.673 * [taylor]: Taking taylor expansion of (log (/ 2 (pow y 4))) in y 2.673 * [taylor]: Taking taylor expansion of (/ 2 (pow y 4)) in y 2.673 * [taylor]: Taking taylor expansion of 2 in y 2.673 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.673 * [taylor]: Taking taylor expansion of y in y 2.687 * [taylor]: Taking taylor expansion of 0 in y 2.699 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 2.699 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 2.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 2.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 2.699 * [taylor]: Taking taylor expansion of 1/3 in y 2.699 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.699 * [taylor]: Taking taylor expansion of x in y 2.699 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.699 * [taylor]: Taking taylor expansion of 2 in y 2.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.699 * [taylor]: Taking taylor expansion of y in y 2.701 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.702 * [taylor]: Taking taylor expansion of 1/3 in x 2.702 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.702 * [taylor]: Taking taylor expansion of x in x 2.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.702 * [taylor]: Taking taylor expansion of 2 in x 2.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.702 * [taylor]: Taking taylor expansion of y in x 2.703 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.703 * [taylor]: Taking taylor expansion of 1/3 in x 2.703 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.704 * [taylor]: Taking taylor expansion of 2 in x 2.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.704 * [taylor]: Taking taylor expansion of y in x 2.705 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.705 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.705 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.705 * [taylor]: Taking taylor expansion of -2/3 in y 2.705 * [taylor]: Taking taylor expansion of (log x) in y 2.705 * [taylor]: Taking taylor expansion of x in y 2.708 * [taylor]: Taking taylor expansion of 0 in y 2.713 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.713 * [taylor]: Taking taylor expansion of 2/3 in y 2.713 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.713 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.713 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.713 * [taylor]: Taking taylor expansion of 1/3 in y 2.713 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.713 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.713 * [taylor]: Taking taylor expansion of x in y 2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.714 * [taylor]: Taking taylor expansion of y in y 2.731 * [taylor]: Taking taylor expansion of 0 in y 2.731 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 2.732 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 2.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 2.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 2.732 * [taylor]: Taking taylor expansion of 1/3 in y 2.732 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.732 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.732 * [taylor]: Taking taylor expansion of x in y 2.732 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.732 * [taylor]: Taking taylor expansion of 2 in y 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.732 * [taylor]: Taking taylor expansion of y in y 2.734 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.734 * [taylor]: Taking taylor expansion of 1/3 in x 2.734 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.735 * [taylor]: Taking taylor expansion of 2 in x 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.735 * [taylor]: Taking taylor expansion of y in x 2.736 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.736 * [taylor]: Taking taylor expansion of 1/3 in x 2.736 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.736 * [taylor]: Taking taylor expansion of x in x 2.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.737 * [taylor]: Taking taylor expansion of 2 in x 2.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.737 * [taylor]: Taking taylor expansion of y in x 2.738 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.738 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.738 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.738 * [taylor]: Taking taylor expansion of -2/3 in y 2.738 * [taylor]: Taking taylor expansion of (log x) in y 2.738 * [taylor]: Taking taylor expansion of x in y 2.741 * [taylor]: Taking taylor expansion of 0 in y 2.746 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.746 * [taylor]: Taking taylor expansion of 2/3 in y 2.746 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.747 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.747 * [taylor]: Taking taylor expansion of 1/3 in y 2.747 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.747 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.747 * [taylor]: Taking taylor expansion of x in y 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.747 * [taylor]: Taking taylor expansion of y in y 2.768 * [taylor]: Taking taylor expansion of 0 in y 2.768 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.769 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 2.769 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 2.769 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 2.769 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.769 * [taylor]: Taking taylor expansion of x in y 2.769 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.769 * [taylor]: Taking taylor expansion of 2 in y 2.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.769 * [taylor]: Taking taylor expansion of y in y 2.769 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 2.770 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.770 * [taylor]: Taking taylor expansion of x in x 2.770 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.770 * [taylor]: Taking taylor expansion of 2 in x 2.770 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.770 * [taylor]: Taking taylor expansion of y in x 2.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 2.771 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.771 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.771 * [taylor]: Taking taylor expansion of x in x 2.771 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.771 * [taylor]: Taking taylor expansion of 2 in x 2.771 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.771 * [taylor]: Taking taylor expansion of y in x 2.772 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.772 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.772 * [taylor]: Taking taylor expansion of 2 in y 2.772 * [taylor]: Taking taylor expansion of y in y 2.773 * [taylor]: Taking taylor expansion of 0 in y 2.776 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 2.776 * [taylor]: Taking taylor expansion of 1/2 in y 2.776 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.776 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.776 * [taylor]: Taking taylor expansion of 2 in y 2.777 * [taylor]: Taking taylor expansion of y in y 2.784 * [taylor]: Taking taylor expansion of 0 in y 2.788 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 2.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.788 * [taylor]: Taking taylor expansion of x in y 2.788 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.788 * [taylor]: Taking taylor expansion of 2 in y 2.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.788 * [taylor]: Taking taylor expansion of y in y 2.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.792 * [taylor]: Taking taylor expansion of 2 in x 2.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.792 * [taylor]: Taking taylor expansion of y in x 2.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.794 * [taylor]: Taking taylor expansion of x in x 2.794 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.794 * [taylor]: Taking taylor expansion of 2 in x 2.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.794 * [taylor]: Taking taylor expansion of y in x 2.797 * [taylor]: Taking taylor expansion of 1 in y 2.797 * [taylor]: Taking taylor expansion of 0 in y 2.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.799 * [taylor]: Taking taylor expansion of y in y 2.803 * [taylor]: Taking taylor expansion of 0 in y 2.805 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 2.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.805 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.805 * [taylor]: Taking taylor expansion of x in y 2.805 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.805 * [taylor]: Taking taylor expansion of 2 in y 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.805 * [taylor]: Taking taylor expansion of y in y 2.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.809 * [taylor]: Taking taylor expansion of 2 in x 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.809 * [taylor]: Taking taylor expansion of y in x 2.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.811 * [taylor]: Taking taylor expansion of 2 in x 2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.811 * [taylor]: Taking taylor expansion of y in x 2.813 * [taylor]: Taking taylor expansion of 1 in y 2.813 * [taylor]: Taking taylor expansion of 0 in y 2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.816 * [taylor]: Taking taylor expansion of y in y 2.819 * [taylor]: Taking taylor expansion of 0 in y 2.820 * * * [progress]: simplifying candidates 2.822 * [simplify]: Simplifying using # : (expm1 (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (log (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt 1) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (cbrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (cbrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (cbrt (- (+ (* x x) (* y y)) (* y y))) (* (cbrt (cbrt (+ (+ (* x x) (* y 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(cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (cbrt (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (cbrt (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))))) (cbrt (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (* (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) 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(* x x) (* y y)) (* y y))) (cbrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (- (+ (* x x) (* y y)) (* y y)))) 1/2 3/2 3/2 3/2 1/2 3/2 1/6 1/2 1/2 3/2 3/2 3/2 3/2 3/2 1/2 (sqrt (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (fma (* (exp (* 1/3 (- (log 2) (* 4 (log y))))) 1/6) (pow x 2) (* (pow y 2/3) (pow 2 1/3))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (fma (* (exp (* 1/3 (- (log 2) (* 4 (log y))))) 1/6) (pow x 2) (* (pow y 2/3) (pow 2 1/3))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (fma (* (exp (* 1/3 (- (log 2) (* 4 (log y))))) 1/6) (pow x 2) (* (pow y 2/3) (pow 2 1/3))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (* (sqrt 2) y) x (* -1 x) 2.978 * * * [progress]: adding candidates to table 3.302 * [progress]: [Phase 3 of 3] Extracting. 3.302 * * [regime]: Finding splitpoints for: (# # # # # #) 3.304 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 3.304 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 3.329 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 3.352 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 3.377 * * * * [regimes]: Trying to branch on y from (# # # # # #) 3.401 * * * * [regimes]: Trying to branch on x from (# # # # # #) 3.426 * * * [regime]: Found split indices: #