8.387 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.027 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.029 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.030 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.032 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.033 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.035 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.037 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.039 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.042 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.045 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.052 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.081 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.317 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.318 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.320 * * [progress]: iteration 1 / 4 0.320 * * * [progress]: picking best candidate 0.322 * * * * [pick]: Picked # 0.322 * * * [progress]: localizing error 0.332 * * * [progress]: generating rewritten candidates 0.332 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.382 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.397 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.401 * * * [progress]: generating series expansions 0.401 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.401 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of 3 in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of 3 in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of 3 in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of 3 in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [taylor]: Taking taylor expansion of 1 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.411 * [taylor]: Taking taylor expansion of 3 in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.412 * [taylor]: Taking taylor expansion of 3 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.413 * [taylor]: Taking taylor expansion of 3 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of 1 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of 3 in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.424 * [taylor]: Taking taylor expansion of 3 in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of 3 in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of 3 in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of 1 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.429 * [taylor]: Taking taylor expansion of 3 in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.438 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.438 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.438 * [taylor]: Taking taylor expansion of 2 in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of 2 in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of 2 in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of 2 in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 1 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.447 * [taylor]: Taking taylor expansion of 2 in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.448 * [taylor]: Taking taylor expansion of 2 in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.449 * [taylor]: Taking taylor expansion of 2 in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of 1 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.452 * [taylor]: Taking taylor expansion of 2 in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.460 * [taylor]: Taking taylor expansion of 2 in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.461 * [taylor]: Taking taylor expansion of 2 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.462 * [taylor]: Taking taylor expansion of 2 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of 1 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.466 * [taylor]: Taking taylor expansion of 2 in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.475 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.475 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.475 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 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 0 in y 0.477 * [taylor]: Taking taylor expansion of 1 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of 1 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of 1 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.505 * * * [progress]: simplifying candidates 0.506 * [simplify]: Simplifying using # : (* (* (* (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)) (* (* (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)) (* (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)) 0.511 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.517 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.540 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 0.643 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 0.644 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (pow x 2) (* 3 (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 (+ (+ (* x x) (* y y)) (* y (+ y y))) 3) (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)) (+ (pow y 4) (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (pow x 2) (pow y 2)) (* y (+ y y)) (exp (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (pow x 2) (* 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 (+ (pow x 2) (* y (+ y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4)) (* (pow x 2) (+ (pow x 2) (* y (+ y y)))) (pow x 2) (* y (+ 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 (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.645 * * * [progress]: adding candidates to table 0.744 * * [progress]: iteration 2 / 4 0.744 * * * [progress]: picking best candidate 0.755 * * * * [pick]: Picked # 0.755 * * * [progress]: localizing error 0.763 * * * [progress]: generating rewritten candidates 0.763 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.776 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.779 * * * [progress]: generating series expansions 0.779 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.779 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.779 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.779 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.780 * [taylor]: Taking taylor expansion of 3 in y 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.780 * [taylor]: Taking taylor expansion of 3 in x 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.780 * [taylor]: Taking taylor expansion of 3 in x 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.780 * [taylor]: Taking taylor expansion of 3 in y 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [taylor]: Taking taylor expansion of 1 in y 0.785 * [taylor]: Taking taylor expansion of 0 in y 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.789 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.789 * [taylor]: Taking taylor expansion of x in y 0.789 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.789 * [taylor]: Taking taylor expansion of 3 in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.790 * [taylor]: Taking taylor expansion of 3 in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.790 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.791 * [taylor]: Taking taylor expansion of 3 in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.791 * [taylor]: Taking taylor expansion of 1 in y 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.794 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.794 * [taylor]: Taking taylor expansion of 3 in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.802 * [taylor]: Taking taylor expansion of x in y 0.802 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.802 * [taylor]: Taking taylor expansion of 3 in y 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.803 * [taylor]: Taking taylor expansion of 3 in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.803 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.804 * [taylor]: Taking taylor expansion of 3 in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of 1 in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.807 * [taylor]: Taking taylor expansion of 3 in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.811 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.817 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.817 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.817 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.817 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.817 * [taylor]: Taking taylor expansion of x in y 0.817 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.817 * [taylor]: Taking taylor expansion of 2 in y 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.818 * [taylor]: Taking taylor expansion of 2 in x 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.818 * [taylor]: Taking taylor expansion of 2 in x 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of 2 in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of 1 in y 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.829 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.829 * [taylor]: Taking taylor expansion of x in y 0.829 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.829 * [taylor]: Taking taylor expansion of 2 in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.831 * [taylor]: Taking taylor expansion of 2 in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.831 * [taylor]: Taking taylor expansion of 2 in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.832 * [taylor]: Taking taylor expansion of 1 in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.834 * [taylor]: Taking taylor expansion of 2 in y 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.843 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.843 * [taylor]: Taking taylor expansion of 2 in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.844 * [taylor]: Taking taylor expansion of 2 in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.844 * [taylor]: Taking taylor expansion of y in x 0.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.845 * [taylor]: Taking taylor expansion of 2 in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.845 * [taylor]: Taking taylor expansion of y in x 0.845 * [taylor]: Taking taylor expansion of 1 in y 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.847 * [taylor]: Taking taylor expansion of 2 in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.856 * * * [progress]: simplifying candidates 0.856 * [simplify]: Simplifying using # : (* (* (exp (* x x)) (exp (* y (+ y y)))) (exp (* y y))) (* (exp (+ (* x x) (* y (+ y y)))) (exp (* y y))) (log (+ (+ (* x x) (* y (+ y y))) (* y y))) (exp (+ (+ (* x x) (* y (+ y y))) (* y y))) (* (cbrt (+ (+ (* x x) (* y (+ y y))) (* y y))) (cbrt (+ (+ (* x x) (* y (+ y y))) (* y y)))) (cbrt (+ (+ (* x x) (* y (+ y y))) (* y y))) (* (* (+ (+ (* x x) (* y (+ y y))) (* y y)) (+ (+ (* x x) (* y (+ y y))) (* y y))) (+ (+ (* x x) (* y (+ y y))) (* y y))) (sqrt (+ (+ (* x x) (* y (+ y y))) (* y y))) (sqrt (+ (+ (* x x) (* y (+ y y))) (* y y))) (+ (pow (+ (* x x) (* y (+ y y))) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y)))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y (+ y y))) (* y y)))) (- (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y)))) (* (* y y) (* y y))) (- (+ (* x x) (* y (+ y y))) (* y y)) (+ (* y (+ y y)) (* y y)) (* (exp (* x x)) (exp (* y (+ y y)))) (log (+ (* x x) (* y (+ y y)))) (exp (+ (* x x) (* y (+ y y)))) (* (cbrt (+ (* x x) (* y (+ y y)))) (cbrt (+ (* x x) (* y (+ y y))))) (cbrt (+ (* x x) (* y (+ y y)))) (* (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y)))) (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))) (+ (pow (* x x) 3) (pow (* y (+ y y)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ y y)) (* y (+ y y))) (* (* x x) (* y (+ y y))))) (- (* (* x x) (* x x)) (* (* y (+ y y)) (* y (+ y y)))) (- (* x x) (* y (+ y y))) (+ (* x x) (* 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))) 0.860 * * [simplify]: iteration 0 : 185 enodes (cost 237 ) 0.866 * * [simplify]: iteration 1 : 870 enodes (cost 218 ) 0.885 * * [simplify]: iteration 2 : 3936 enodes (cost 207 ) 0.984 * * [simplify]: iteration 3 : 5002 enodes (cost 204 ) 0.985 * [simplify]: Simplified to: (exp (+ (+ (* x x) (* y (+ y y))) (* y y))) (exp (+ (+ (* x x) (* y (+ y y))) (* y y))) (log (+ (+ (* x x) (* y (+ y y))) (* y y))) (exp (+ (+ (* x x) (* y (+ y y))) (* y y))) (* (cbrt (+ (+ (* x x) (* y (+ y y))) (* y y))) (cbrt (+ (+ (* x x) (* y (+ y y))) (* y y)))) (cbrt (+ (+ (* x x) (* y (+ y y))) (* y y))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (+ (* x x) (* y (+ y y))) (* y y))) (sqrt (+ (+ (* x x) (* y (+ y y))) (* y y))) (+ (pow (+ (* x x) (* y (+ y y))) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y (+ y y))) (+ (* y (- (+ y y) y)) (pow x 2))) (pow y 4)) (* (+ (pow x 2) (* 3 (pow y 2))) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (* 3 y) y) (exp (+ (* x x) (* y (+ y y)))) (log (+ (* x x) (* y (+ y y)))) (exp (+ (* x x) (* y (+ y y)))) (* (cbrt (+ (* x x) (* y (+ y y)))) (cbrt (+ (* x x) (* y (+ y y))))) (cbrt (+ (* x x) (* y (+ y y)))) (pow (+ (* x x) (* y (+ y y))) 3) (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))) (+ (pow (* x x) 3) (pow (* y (+ y y)) 3)) (+ (* (pow y 4) 4) (- (pow x 4) (* (* x x) (* y (+ y y))))) (+ (* (- (pow y 2)) (* 4 (pow y 2))) (pow x 4)) (- (* x x) (* y (+ y y))) (+ (* x x) (* 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))) (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y))) 0.986 * * * [progress]: adding candidates to table 1.052 * * [progress]: iteration 3 / 4 1.052 * * * [progress]: picking best candidate 1.058 * * * * [pick]: Picked # 1.058 * * * [progress]: localizing error 1.064 * * * [progress]: generating rewritten candidates 1.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.074 * * * [progress]: generating series expansions 1.074 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.075 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 1.075 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.075 * [taylor]: Taking taylor expansion of 3 in y 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.075 * [taylor]: Taking taylor expansion of 3 in y 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.086 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.086 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.086 * [taylor]: Taking taylor expansion of 3 in y 1.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.086 * [taylor]: Taking taylor expansion of y in y 1.087 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.087 * [taylor]: Taking taylor expansion of 3 in y 1.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.087 * [taylor]: Taking taylor expansion of y in y 1.097 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.097 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.097 * [taylor]: Taking taylor expansion of 3 in y 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.097 * [taylor]: Taking taylor expansion of 3 in y 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.105 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.105 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.105 * [taylor]: Taking taylor expansion of 3 in y 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.105 * [taylor]: Taking taylor expansion of y in y 1.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.105 * [taylor]: Taking taylor expansion of 3 in x 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.105 * [taylor]: Taking taylor expansion of 3 in x 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.106 * [taylor]: Taking taylor expansion of 3 in y 1.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.106 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [taylor]: Taking taylor expansion of 1 in y 1.110 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.114 * [taylor]: Taking taylor expansion of 3 in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.115 * [taylor]: Taking taylor expansion of 3 in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.116 * [taylor]: Taking taylor expansion of 3 in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.117 * [taylor]: Taking taylor expansion of 1 in y 1.118 * [taylor]: Taking taylor expansion of 0 in y 1.119 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.119 * [taylor]: Taking taylor expansion of 3 in y 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.119 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.125 * [taylor]: Taking taylor expansion of 0 in y 1.127 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.128 * [taylor]: Taking taylor expansion of x in y 1.128 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.128 * [taylor]: Taking taylor expansion of 3 in y 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.129 * [taylor]: Taking taylor expansion of 3 in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.129 * [taylor]: Taking taylor expansion of y in x 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.130 * [taylor]: Taking taylor expansion of 3 in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.130 * [taylor]: Taking taylor expansion of y in x 1.130 * [taylor]: Taking taylor expansion of 1 in y 1.131 * [taylor]: Taking taylor expansion of 0 in y 1.132 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.133 * [taylor]: Taking taylor expansion of 3 in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.139 * [taylor]: Taking taylor expansion of 0 in y 1.141 * * * [progress]: simplifying candidates 1.141 * [simplify]: Simplifying using # : (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (exp (* x x)) (exp (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (* (* (+ (* x x) (* (* 3 y) y)) (+ (* x x) (* (* 3 y) y))) (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (pow (* x x) 3) (pow (* (* 3 y) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* (* 3 y) y)))) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* (* 3 y) y))) (- (* x x) (* (* 3 y) y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.146 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 1.151 * * [simplify]: iteration 1 : 862 enodes (cost 143 ) 1.175 * * [simplify]: iteration 2 : 4332 enodes (cost 138 ) 1.288 * * [simplify]: iteration 3 : 5002 enodes (cost 137 ) 1.289 * [simplify]: Simplified to: (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) 3) (* 3 y) (pow y 2) (exp (+ (* x x) (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (pow (* x x) 3) (pow (* (* 3 y) y) 3)) (+ (* (pow x 2) (- (* x x) (* (* 3 y) y))) (* 9 (pow y 4))) (+ (- (* (* 9 (pow y 2)) (pow y 2))) (pow x 4)) (- (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.289 * * * [progress]: adding candidates to table 1.348 * * [progress]: iteration 4 / 4 1.348 * * * [progress]: picking best candidate 1.356 * * * * [pick]: Picked # 1.356 * * * [progress]: localizing error 1.370 * * * [progress]: generating rewritten candidates 1.370 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.375 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.379 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.400 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.413 * * * [progress]: generating series expansions 1.413 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.414 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.414 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.414 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.414 * [taylor]: Taking taylor expansion of x in y 1.414 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.414 * [taylor]: Taking taylor expansion of 2 in y 1.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.414 * [taylor]: Taking taylor expansion of y in y 1.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.415 * [taylor]: Taking taylor expansion of 2 in x 1.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.415 * [taylor]: Taking taylor expansion of y in x 1.416 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.416 * [taylor]: Taking taylor expansion of 2 in x 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.417 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.417 * [taylor]: Taking taylor expansion of 2 in y 1.418 * [taylor]: Taking taylor expansion of y in y 1.418 * [taylor]: Taking taylor expansion of 0 in y 1.422 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.422 * [taylor]: Taking taylor expansion of 1/2 in y 1.422 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.422 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.422 * [taylor]: Taking taylor expansion of 2 in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.431 * [taylor]: Taking taylor expansion of 0 in y 1.434 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.434 * [taylor]: Taking taylor expansion of x in y 1.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.434 * [taylor]: Taking taylor expansion of 2 in y 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.434 * [taylor]: Taking taylor expansion of y in y 1.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.437 * [taylor]: Taking taylor expansion of 2 in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.438 * [taylor]: Taking taylor expansion of y in x 1.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.440 * [taylor]: Taking taylor expansion of 2 in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.440 * [taylor]: Taking taylor expansion of y in x 1.442 * [taylor]: Taking taylor expansion of 1 in y 1.442 * [taylor]: Taking taylor expansion of 0 in y 1.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.446 * [taylor]: Taking taylor expansion of y in y 1.450 * [taylor]: Taking taylor expansion of 0 in y 1.451 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.452 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.452 * [taylor]: Taking taylor expansion of x in y 1.452 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.452 * [taylor]: Taking taylor expansion of 2 in y 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.452 * [taylor]: Taking taylor expansion of y in y 1.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.460 * [taylor]: Taking taylor expansion of 2 in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.460 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.460 * [taylor]: Taking taylor expansion of y in x 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.463 * [taylor]: Taking taylor expansion of 2 in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.463 * [taylor]: Taking taylor expansion of y in x 1.465 * [taylor]: Taking taylor expansion of 1 in y 1.465 * [taylor]: Taking taylor expansion of 0 in y 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.467 * [taylor]: Taking taylor expansion of y in y 1.471 * [taylor]: Taking taylor expansion of 0 in y 1.472 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.472 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.472 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.472 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.472 * [taylor]: Taking taylor expansion of x in y 1.472 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.472 * [taylor]: Taking taylor expansion of 2 in y 1.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.472 * [taylor]: Taking taylor expansion of y in y 1.473 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.473 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.473 * [taylor]: Taking taylor expansion of 2 in x 1.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.473 * [taylor]: Taking taylor expansion of y in x 1.474 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.474 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.474 * [taylor]: Taking taylor expansion of 2 in x 1.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.474 * [taylor]: Taking taylor expansion of y in x 1.475 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.475 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.475 * [taylor]: Taking taylor expansion of 2 in y 1.476 * [taylor]: Taking taylor expansion of y in y 1.476 * [taylor]: Taking taylor expansion of 0 in y 1.480 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.480 * [taylor]: Taking taylor expansion of 1/2 in y 1.480 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.480 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.480 * [taylor]: Taking taylor expansion of 2 in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.488 * [taylor]: Taking taylor expansion of 0 in y 1.491 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.491 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.491 * [taylor]: Taking taylor expansion of x in y 1.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.491 * [taylor]: Taking taylor expansion of 2 in y 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.491 * [taylor]: Taking taylor expansion of y in y 1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.495 * [taylor]: Taking taylor expansion of 2 in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.495 * [taylor]: Taking taylor expansion of y in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.498 * [taylor]: Taking taylor expansion of 2 in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.498 * [taylor]: Taking taylor expansion of y in x 1.500 * [taylor]: Taking taylor expansion of 1 in y 1.500 * [taylor]: Taking taylor expansion of 0 in y 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.506 * [taylor]: Taking taylor expansion of 0 in y 1.507 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.507 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.507 * [taylor]: Taking taylor expansion of x in y 1.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.507 * [taylor]: Taking taylor expansion of 2 in y 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.508 * [taylor]: Taking taylor expansion of y in y 1.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.511 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.511 * [taylor]: Taking taylor expansion of 2 in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.511 * [taylor]: Taking taylor expansion of y in x 1.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.514 * [taylor]: Taking taylor expansion of 2 in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.514 * [taylor]: Taking taylor expansion of y in x 1.518 * [taylor]: Taking taylor expansion of 1 in y 1.518 * [taylor]: Taking taylor expansion of 0 in y 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.520 * [taylor]: Taking taylor expansion of y in y 1.523 * [taylor]: Taking taylor expansion of 0 in y 1.525 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.525 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.525 * [taylor]: Taking taylor expansion of x in y 1.525 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.525 * [taylor]: Taking taylor expansion of 2 in y 1.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.525 * [taylor]: Taking taylor expansion of y in y 1.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.525 * [taylor]: Taking taylor expansion of 2 in x 1.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.525 * [taylor]: Taking taylor expansion of y in x 1.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.525 * [taylor]: Taking taylor expansion of 2 in x 1.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.525 * [taylor]: Taking taylor expansion of y in x 1.526 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.526 * [taylor]: Taking taylor expansion of 2 in y 1.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.526 * [taylor]: Taking taylor expansion of 0 in y 1.528 * [taylor]: Taking taylor expansion of 1 in y 1.530 * [taylor]: Taking taylor expansion of 0 in y 1.534 * [taylor]: Taking taylor expansion of 0 in y 1.534 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.534 * [taylor]: Taking taylor expansion of x in y 1.534 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.534 * [taylor]: Taking taylor expansion of 2 in y 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.535 * [taylor]: Taking taylor expansion of y in y 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.536 * [taylor]: Taking taylor expansion of 2 in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.536 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.536 * [taylor]: Taking taylor expansion of y in x 1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.536 * [taylor]: Taking taylor expansion of 2 in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.536 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.536 * [taylor]: Taking taylor expansion of y in x 1.537 * [taylor]: Taking taylor expansion of 1 in y 1.538 * [taylor]: Taking taylor expansion of 0 in y 1.539 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.539 * [taylor]: Taking taylor expansion of 2 in y 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.542 * [taylor]: Taking taylor expansion of 0 in y 1.549 * [taylor]: Taking taylor expansion of 0 in y 1.551 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.551 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.551 * [taylor]: Taking taylor expansion of x in y 1.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.552 * [taylor]: Taking taylor expansion of 2 in y 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.553 * [taylor]: Taking taylor expansion of 2 in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.553 * [taylor]: Taking taylor expansion of y in x 1.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.554 * [taylor]: Taking taylor expansion of 2 in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.554 * [taylor]: Taking taylor expansion of y in x 1.554 * [taylor]: Taking taylor expansion of 1 in y 1.555 * [taylor]: Taking taylor expansion of 0 in y 1.556 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.556 * [taylor]: Taking taylor expansion of 2 in y 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.559 * [taylor]: Taking taylor expansion of 0 in y 1.563 * [taylor]: Taking taylor expansion of 0 in y 1.565 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.565 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.565 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.565 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.565 * [taylor]: Taking taylor expansion of x in y 1.565 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.565 * [taylor]: Taking taylor expansion of 3 in y 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.565 * [taylor]: Taking taylor expansion of y in y 1.565 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.565 * [taylor]: Taking taylor expansion of 3 in x 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.565 * [taylor]: Taking taylor expansion of y in x 1.565 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.565 * [taylor]: Taking taylor expansion of 3 in x 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.565 * [taylor]: Taking taylor expansion of y in x 1.566 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.566 * [taylor]: Taking taylor expansion of 3 in y 1.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.566 * [taylor]: Taking taylor expansion of 0 in y 1.568 * [taylor]: Taking taylor expansion of 1 in y 1.570 * [taylor]: Taking taylor expansion of 0 in y 1.574 * [taylor]: Taking taylor expansion of 0 in y 1.574 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.574 * [taylor]: Taking taylor expansion of x in y 1.574 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.574 * [taylor]: Taking taylor expansion of 3 in y 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.575 * [taylor]: Taking taylor expansion of y in y 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.576 * [taylor]: Taking taylor expansion of 3 in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.576 * [taylor]: Taking taylor expansion of y in x 1.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.576 * [taylor]: Taking taylor expansion of 3 in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.576 * [taylor]: Taking taylor expansion of y in x 1.577 * [taylor]: Taking taylor expansion of 1 in y 1.578 * [taylor]: Taking taylor expansion of 0 in y 1.579 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.579 * [taylor]: Taking taylor expansion of 3 in y 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.579 * [taylor]: Taking taylor expansion of y in y 1.582 * [taylor]: Taking taylor expansion of 0 in y 1.587 * [taylor]: Taking taylor expansion of 0 in y 1.590 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.590 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.590 * [taylor]: Taking taylor expansion of x in y 1.590 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.590 * [taylor]: Taking taylor expansion of 3 in y 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.591 * [taylor]: Taking taylor expansion of 3 in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.591 * [taylor]: Taking taylor expansion of y in x 1.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.592 * [taylor]: Taking taylor expansion of 3 in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.592 * [taylor]: Taking taylor expansion of y in x 1.593 * [taylor]: Taking taylor expansion of 1 in y 1.594 * [taylor]: Taking taylor expansion of 0 in y 1.595 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.595 * [taylor]: Taking taylor expansion of 3 in y 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.595 * [taylor]: Taking taylor expansion of y in y 1.598 * [taylor]: Taking taylor expansion of 0 in y 1.601 * [taylor]: Taking taylor expansion of 0 in y 1.603 * * * [progress]: simplifying candidates 1.605 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y (+ y y))))) (exp (sqrt (+ (* x x) (* y (+ y y))))) (* (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (cbrt (sqrt (+ (* x x) (* y (+ y y)))))) (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (* (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (* (cbrt (+ (* x x) (* y (+ y y)))) (cbrt (+ (* x x) (* y (+ y y)))))) (sqrt (cbrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt 1) (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y (+ y y)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y y)) (* y (+ y y))) (* (* x x) (* y (+ y y)))))) (sqrt (- (* (* x x) (* x x)) (* (* y (+ y y)) (* y (+ y y))))) (sqrt (- (* x x) (* y (+ y y)))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (log (sqrt (+ (* x x) (* y (+ y y))))) (exp (sqrt (+ (* x x) (* y (+ y y))))) (* (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (cbrt (sqrt (+ (* x x) (* y (+ y y)))))) (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (* (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (* (cbrt (+ (* x x) (* y (+ y y)))) (cbrt (+ (* x x) (* y (+ y y)))))) (sqrt (cbrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt 1) (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y (+ y y)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y y)) (* y (+ y y))) (* (* x x) (* y (+ y y)))))) (sqrt (- (* (* x x) (* x x)) (* (* y (+ y y)) (* y (+ y y))))) (sqrt (- (* x x) (* y (+ y y)))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y)))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y)))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y (+ y y))))) (log (sqrt (+ (* x x) (* y (+ y y)))))) (log (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (exp (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (* (* (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y))))) (* (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y)))))) (* (cbrt (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (cbrt (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))))) (cbrt (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (* (* (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y)))) (sqrt (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (sqrt (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y (+ y y)) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y (+ y y)) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y y)) (* y (+ y y))) (* (* x x) (* y (+ y y)))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y y)) (* y (+ y y))) (* (* x x) (* y (+ y y))))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y (+ y y)) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y (+ y y)) (* y (+ y y)))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y y)) (* y (+ y y))) (* (* x x) (* y (+ y y)))))) (sqrt (- (* x x) (* y (+ y y))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y (+ y y)) (* y (+ y y))))) (sqrt (+ (pow (* x x) 3) (pow (* y (+ y y)) 3)))) (* (sqrt (- (* x x) (* y (+ y y)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y y)) (* y (+ y y))) (* (* x x) (* y (+ y y))))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y (+ y y)) (* y (+ y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y (+ y y)) (* y (+ y y)))))) (* (sqrt (- (* x x) (* y (+ y y)))) (sqrt (- (* x x) (* y (+ y y))))) (* (* (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (cbrt (sqrt (+ (* x x) (* y (+ y y)))))) (* (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (cbrt 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[progress]: adding candidates to table 1.869 * [progress]: [Phase 3 of 3] Extracting. 1.869 * * [regime]: Finding splitpoints for: (# # # # # #) 1.870 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.870 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.889 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.911 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.931 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.956 * * * [regime]: Found split indices: #