29.823 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.025 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.027 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.029 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.031 * * [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 ) 0.040 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.043 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.046 * * [simplify]: iteration 9 : 312 enodes (cost 4 ) 0.054 * * [simplify]: iteration 10 : 640 enodes (cost 4 ) 0.084 * * [simplify]: iteration 11 : 3180 enodes (cost 4 ) 0.331 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.332 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.337 * * [progress]: iteration 1 / 4 0.337 * * * [progress]: picking best candidate 0.338 * * * * [pick]: Picked # 0.338 * * * [progress]: localizing error 0.344 * * * [progress]: generating rewritten candidates 0.344 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.353 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.357 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.363 * * * [progress]: generating series expansions 0.363 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.363 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of 3 in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of 3 in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of 3 in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of 3 in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of 1 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.373 * [taylor]: Taking taylor expansion of 3 in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of 3 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of 3 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of 1 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.377 * [taylor]: Taking taylor expansion of 3 in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.385 * [taylor]: Taking taylor expansion of 3 in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.387 * [taylor]: Taking taylor expansion of 3 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.387 * [taylor]: Taking taylor expansion of 3 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of 1 in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.390 * [taylor]: Taking taylor expansion of 3 in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.398 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.398 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.399 * [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 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of 1 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of 1 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.423 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.423 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.423 * [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 (* 2 (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of 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 0.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of 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 (+ (pow x 2) (* 2 (pow y 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 (* 2 (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of 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 (* 2 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of 2 in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 1 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.435 * [taylor]: Taking taylor expansion of 2 in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.436 * [taylor]: Taking taylor expansion of 2 in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.436 * [taylor]: Taking taylor expansion of 2 in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of 1 in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.439 * [taylor]: Taking taylor expansion of 2 in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [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 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.449 * [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 0.450 * [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 * * * [progress]: simplifying candidates 0.460 * [simplify]: Simplifying using # : (+ (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)) (+ (+ (* y y) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* 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 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)) (+ (* 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) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.464 * * [simplify]: iteration 0 : 146 enodes (cost 166 ) 0.468 * * [simplify]: iteration 1 : 673 enodes (cost 142 ) 0.480 * * [simplify]: iteration 2 : 2485 enodes (cost 122 ) 0.552 * * [simplify]: iteration 3 : 5001 enodes (cost 122 ) 0.553 * [simplify]: Simplified to: (+ (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 y 2) (+ (pow x 2) 0)) (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow x 2) (pow y 2)) (* y (+ y y)) (* 3 (pow y 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ 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)) (+ (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)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 0.553 * * * [progress]: adding candidates to table 0.597 * * [progress]: iteration 2 / 4 0.597 * * * [progress]: picking best candidate 0.607 * * * * [pick]: Picked # 0.607 * * * [progress]: localizing error 0.614 * * * [progress]: generating rewritten candidates 0.614 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.622 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.627 * * * [progress]: generating series expansions 0.627 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.627 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.627 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of 3 in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of 3 in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.628 * [taylor]: Taking taylor expansion of 3 in y 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of 0 in x 0.629 * [taylor]: Taking taylor expansion of 3 in x 0.631 * [taylor]: Taking taylor expansion of 0 in x 0.633 * [taylor]: Taking taylor expansion of 0 in x 0.634 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.634 * [taylor]: Taking taylor expansion of 3 in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.635 * [taylor]: Taking taylor expansion of 3 in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.635 * [taylor]: Taking taylor expansion of 3 in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of 3 in x 0.638 * [taylor]: Taking taylor expansion of 0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of 0 in x 0.649 * [taylor]: Taking taylor expansion of 0 in x 0.652 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.653 * [taylor]: Taking taylor expansion of 3 in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.653 * [taylor]: Taking taylor expansion of 3 in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.654 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.654 * [taylor]: Taking taylor expansion of 3 in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 3 in x 0.656 * [taylor]: Taking taylor expansion of 0 in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of 0 in x 0.663 * [taylor]: Taking taylor expansion of 0 in x 0.665 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.665 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.665 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of 2 in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.665 * [taylor]: Taking taylor expansion of 2 in x 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.665 * [taylor]: Taking taylor expansion of 2 in x 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of 2 in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.667 * [taylor]: Taking taylor expansion of 1 in y 0.670 * [taylor]: Taking taylor expansion of 0 in y 0.673 * [taylor]: Taking taylor expansion of 0 in y 0.673 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.673 * [taylor]: Taking taylor expansion of 2 in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.675 * [taylor]: Taking taylor expansion of 2 in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.675 * [taylor]: Taking taylor expansion of 2 in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.676 * [taylor]: Taking taylor expansion of 1 in y 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.678 * [taylor]: Taking taylor expansion of 2 in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.686 * [taylor]: Taking taylor expansion of 2 in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.687 * [taylor]: Taking taylor expansion of 2 in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.688 * [taylor]: Taking taylor expansion of 2 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of 1 in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.690 * [taylor]: Taking taylor expansion of 2 in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.697 * [taylor]: Taking taylor expansion of 0 in y 0.698 * * * [progress]: simplifying candidates 0.699 * [simplify]: Simplifying using # : (+ (pow (* y y) 3) (pow (+ (pow x 2) (* y (+ y y))) 3)) (+ (* (* y y) (* y y)) (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y)))) (* (* y y) (+ (pow x 2) (* y (+ y y)))))) (- (* (* y y) (* y y)) (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (- (* y y) (+ (pow x 2) (* y (+ y y)))) (+ (* y y) (pow x 2)) (+ (* y y) (+ (pow x 2) (* y y))) (+ (* y y) (+ (pow x 2) (* y y))) (+ (* y y) (+ (pow x 2) (* y y))) (+ (* y y) (+ (pow x 2) (* y y))) (+ (* y y) (* y (+ y y))) (+ (pow (pow x 2) 3) (pow (* y (+ y y)) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ y y)) (* y (+ y y))) (* (pow x 2) (* y (+ y y))))) (- (* (pow x 2) (pow x 2)) (* (* y (+ y y)) (* y (+ y y)))) (- (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* 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))) 0.702 * * [simplify]: iteration 0 : 130 enodes (cost 131 ) 0.706 * * [simplify]: iteration 1 : 557 enodes (cost 124 ) 0.718 * * [simplify]: iteration 2 : 2301 enodes (cost 124 ) 0.786 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 0.787 * [simplify]: Simplified to: (+ (pow (* y y) 3) (pow (+ (pow x 2) (* y (+ y y))) 3)) (+ (* (+ (pow x 2) (* y (+ y y))) (- (+ (pow x 2) (* y (+ y y))) (pow y 2))) (* (* y y) (* y y))) (+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (- (* y y) (+ (pow x 2) (* y (+ y y)))) (+ (* y y) (pow x 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (* (* 3 y) y) (+ (pow (pow x 2) 3) (pow (* y (+ y y)) 3)) (+ (* (* y (+ y y)) (- (* y (+ y y)) (pow x 2))) (pow x 4)) (+ (* (- (pow y 2)) (* 4 (pow y 2))) (pow x 4)) (- (pow x 2) (* y (+ y y))) (+ (* y y) (pow x 2)) (+ (* y y) (pow x 2)) (+ (* y y) (pow x 2)) (+ (* y y) (pow x 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 0.787 * * * [progress]: adding candidates to table 0.819 * * [progress]: iteration 3 / 4 0.819 * * * [progress]: picking best candidate 0.823 * * * * [pick]: Picked # 0.823 * * * [progress]: localizing error 0.829 * * * [progress]: generating rewritten candidates 0.830 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.833 * * * [progress]: generating series expansions 0.833 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.833 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.833 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.833 * [taylor]: Taking taylor expansion of 3 in y 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.833 * [taylor]: Taking taylor expansion of 3 in y 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.841 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.841 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of 3 in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of 3 in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.849 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.849 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.849 * [taylor]: Taking taylor expansion of 3 in y 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.850 * [taylor]: Taking taylor expansion of 3 in y 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.857 * * * [progress]: simplifying candidates 0.857 * [simplify]: Simplifying using # : (* y y) (* 3 y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 0.860 * * [simplify]: iteration 0 : 12 enodes (cost 8 ) 0.861 * * [simplify]: iteration 1 : 26 enodes (cost 8 ) 0.863 * * [simplify]: iteration 2 : 68 enodes (cost 8 ) 0.865 * * [simplify]: iteration 3 : 177 enodes (cost 8 ) 0.871 * * [simplify]: iteration 4 : 579 enodes (cost 8 ) 0.904 * * [simplify]: iteration 5 : 3304 enodes (cost 8 ) 1.039 * * [simplify]: iteration 6 : 5001 enodes (cost 8 ) 1.040 * [simplify]: Simplified to: (pow y 2) (* 3 y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 1.040 * * * [progress]: adding candidates to table 1.045 * * [progress]: iteration 4 / 4 1.045 * * * [progress]: picking best candidate 1.047 * * * * [pick]: Picked # 1.047 * * * [progress]: localizing error 1.065 * * * [progress]: generating rewritten candidates 1.065 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.084 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.097 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.107 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.117 * * * [progress]: generating series expansions 1.117 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.118 * [approximate]: Taking taylor expansion of (/ (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4)))) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.118 * [taylor]: Taking taylor expansion of (/ (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4)))) (+ (pow x 2) (pow y 2))) in y 1.118 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4)))) in y 1.118 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in y 1.118 * [taylor]: Taking taylor expansion of 4 in y 1.118 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.118 * [taylor]: Taking taylor expansion of x in y 1.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of (+ (pow x 4) (* 3 (pow y 4))) in y 1.118 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.118 * [taylor]: Taking taylor expansion of x in y 1.118 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in y 1.118 * [taylor]: Taking taylor expansion of 3 in y 1.118 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.118 * [taylor]: Taking taylor expansion of x in y 1.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.119 * [taylor]: Taking taylor expansion of (/ (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4)))) (+ (pow x 2) (pow y 2))) in x 1.119 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4)))) in x 1.119 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in x 1.119 * [taylor]: Taking taylor expansion of 4 in x 1.119 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.119 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of (+ (pow x 4) (* 3 (pow y 4))) in x 1.119 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in x 1.119 * [taylor]: Taking taylor expansion of 3 in x 1.119 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.119 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.119 * [taylor]: Taking taylor expansion of y in x 1.120 * [taylor]: Taking taylor expansion of (/ (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4)))) (+ (pow x 2) (pow y 2))) in x 1.120 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4)))) in x 1.120 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in x 1.120 * [taylor]: Taking taylor expansion of 4 in x 1.120 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.120 * [taylor]: Taking taylor expansion of (+ (pow x 4) (* 3 (pow y 4))) in x 1.120 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in x 1.120 * [taylor]: Taking taylor expansion of 3 in x 1.120 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.120 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.120 * [taylor]: Taking taylor expansion of 3 in y 1.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.125 * [taylor]: Taking taylor expansion of 1 in y 1.130 * [taylor]: Taking taylor expansion of 0 in y 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.139 * [approximate]: Taking taylor expansion of (/ (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.139 * [taylor]: Taking taylor expansion of (/ (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.139 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in y 1.139 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 1.139 * [taylor]: Taking taylor expansion of 4 in y 1.139 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.139 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.139 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.139 * [taylor]: Taking taylor expansion of x in y 1.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.139 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in y 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.140 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.140 * [taylor]: Taking taylor expansion of x in y 1.140 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.140 * [taylor]: Taking taylor expansion of 3 in y 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.140 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.141 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.141 * [taylor]: Taking taylor expansion of x in y 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.141 * [taylor]: Taking taylor expansion of y in y 1.143 * [taylor]: Taking taylor expansion of (/ (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.143 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in x 1.143 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.143 * [taylor]: Taking taylor expansion of 4 in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.143 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.143 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.144 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in x 1.145 * [taylor]: Taking taylor expansion of 3 in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.145 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.147 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of (/ (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.148 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in x 1.148 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.148 * [taylor]: Taking taylor expansion of 4 in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.148 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in x 1.150 * [taylor]: Taking taylor expansion of 3 in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.150 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.151 * [taylor]: Taking taylor expansion of y in x 1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.152 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of 1 in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.171 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.171 * [taylor]: Taking taylor expansion of 3 in y 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.181 * [taylor]: Taking taylor expansion of 0 in y 1.190 * [taylor]: Taking taylor expansion of 0 in y 1.193 * [approximate]: Taking taylor expansion of (/ (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.193 * [taylor]: Taking taylor expansion of (/ (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.193 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in y 1.193 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 1.193 * [taylor]: Taking taylor expansion of 4 in y 1.193 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.193 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.193 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.193 * [taylor]: Taking taylor expansion of x in y 1.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.193 * [taylor]: Taking taylor expansion of y in y 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in y 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.193 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.193 * [taylor]: Taking taylor expansion of x in y 1.193 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.194 * [taylor]: Taking taylor expansion of 3 in y 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.194 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.194 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.194 * [taylor]: Taking taylor expansion of x in y 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.196 * [taylor]: Taking taylor expansion of (/ (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.196 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in x 1.196 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.196 * [taylor]: Taking taylor expansion of 4 in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.196 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.196 * [taylor]: Taking taylor expansion of y in x 1.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.197 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in x 1.197 * [taylor]: Taking taylor expansion of 3 in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.198 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.198 * [taylor]: Taking taylor expansion of y in x 1.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.198 * [taylor]: Taking taylor expansion of y in x 1.199 * [taylor]: Taking taylor expansion of (/ (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.199 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in x 1.199 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.199 * [taylor]: Taking taylor expansion of 4 in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.199 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.200 * [taylor]: Taking taylor expansion of y in x 1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.200 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in x 1.201 * [taylor]: Taking taylor expansion of 3 in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.201 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.201 * [taylor]: Taking taylor expansion of y in x 1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.202 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of 1 in y 1.206 * [taylor]: Taking taylor expansion of 0 in y 1.209 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.209 * [taylor]: Taking taylor expansion of 3 in y 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.215 * [taylor]: Taking taylor expansion of 0 in y 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.225 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.225 * [approximate]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4))))) in (x y) around 0 1.226 * [taylor]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4))))) in y 1.226 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4)))) in y 1.226 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in y 1.226 * [taylor]: Taking taylor expansion of 4 in y 1.226 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.226 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.226 * [taylor]: Taking taylor expansion of x in y 1.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.226 * [taylor]: Taking taylor expansion of y in y 1.226 * [taylor]: Taking taylor expansion of (+ (pow x 4) (* 3 (pow y 4))) in y 1.226 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.226 * [taylor]: Taking taylor expansion of x in y 1.226 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in y 1.226 * [taylor]: Taking taylor expansion of 3 in y 1.226 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.226 * [taylor]: Taking taylor expansion of y in y 1.226 * [taylor]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4))))) in x 1.226 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4)))) in x 1.226 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in x 1.226 * [taylor]: Taking taylor expansion of 4 in x 1.226 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.226 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of (+ (pow x 4) (* 3 (pow y 4))) in x 1.226 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in x 1.226 * [taylor]: Taking taylor expansion of 3 in x 1.226 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.226 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of (- (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4))))) in x 1.226 * [taylor]: Taking taylor expansion of (+ (* 4 (* (pow x 2) (pow y 2))) (+ (pow x 4) (* 3 (pow y 4)))) in x 1.226 * [taylor]: Taking taylor expansion of (* 4 (* (pow x 2) (pow y 2))) in x 1.226 * [taylor]: Taking taylor expansion of 4 in x 1.226 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.226 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of (+ (pow x 4) (* 3 (pow y 4))) in x 1.226 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in x 1.226 * [taylor]: Taking taylor expansion of 3 in x 1.226 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.226 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of (- (* 3 (pow y 4))) in y 1.227 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in y 1.227 * [taylor]: Taking taylor expansion of 3 in y 1.227 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.227 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of 0 in y 1.230 * [taylor]: Taking taylor expansion of (- (* 4 (pow y 2))) in y 1.230 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in y 1.230 * [taylor]: Taking taylor expansion of 4 in y 1.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.230 * [taylor]: Taking taylor expansion of y in y 1.234 * [taylor]: Taking taylor expansion of 0 in y 1.239 * [taylor]: Taking taylor expansion of -1 in y 1.242 * [approximate]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))))) in (x y) around 0 1.242 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))))) in y 1.242 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in y 1.242 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 1.242 * [taylor]: Taking taylor expansion of 4 in y 1.242 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.242 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.242 * [taylor]: Taking taylor expansion of x in y 1.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.242 * [taylor]: Taking taylor expansion of y in y 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in y 1.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.242 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.242 * [taylor]: Taking taylor expansion of x in y 1.243 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.243 * [taylor]: Taking taylor expansion of 3 in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.243 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.243 * [taylor]: Taking taylor expansion of y in y 1.243 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))))) in x 1.243 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in x 1.243 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.244 * [taylor]: Taking taylor expansion of 4 in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.244 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.244 * [taylor]: Taking taylor expansion of y in x 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.244 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in x 1.245 * [taylor]: Taking taylor expansion of 3 in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.245 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.245 * [taylor]: Taking taylor expansion of y in x 1.245 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))))) in x 1.245 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in x 1.245 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.245 * [taylor]: Taking taylor expansion of 4 in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.245 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.245 * [taylor]: Taking taylor expansion of y in x 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.246 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in x 1.246 * [taylor]: Taking taylor expansion of 3 in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.246 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.246 * [taylor]: Taking taylor expansion of y in x 1.247 * [taylor]: Taking taylor expansion of -1 in y 1.249 * [taylor]: Taking taylor expansion of 0 in y 1.251 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow y 2)))) in y 1.251 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 1.251 * [taylor]: Taking taylor expansion of 4 in y 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.251 * [taylor]: Taking taylor expansion of y in y 1.259 * [taylor]: Taking taylor expansion of 0 in y 1.263 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 1.263 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.263 * [taylor]: Taking taylor expansion of 3 in y 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.263 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.266 * [approximate]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))))) in (x y) around 0 1.266 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))))) in y 1.266 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in y 1.266 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in y 1.266 * [taylor]: Taking taylor expansion of 4 in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.266 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.266 * [taylor]: Taking taylor expansion of x in y 1.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.266 * [taylor]: Taking taylor expansion of y in y 1.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in y 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.267 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.267 * [taylor]: Taking taylor expansion of x in y 1.267 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.267 * [taylor]: Taking taylor expansion of 3 in y 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.267 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.267 * [taylor]: Taking taylor expansion of y in y 1.268 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))))) in x 1.268 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in x 1.268 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.268 * [taylor]: Taking taylor expansion of 4 in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.268 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.268 * [taylor]: Taking taylor expansion of y in x 1.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.268 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in x 1.269 * [taylor]: Taking taylor expansion of 3 in x 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.269 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.269 * [taylor]: Taking taylor expansion of y in x 1.269 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))))) in x 1.269 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4))))) in x 1.269 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.269 * [taylor]: Taking taylor expansion of 4 in x 1.269 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.269 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.269 * [taylor]: Taking taylor expansion of y in x 1.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (* 3 (/ 1 (pow y 4)))) in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.270 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in x 1.271 * [taylor]: Taking taylor expansion of 3 in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.271 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.271 * [taylor]: Taking taylor expansion of y in x 1.272 * [taylor]: Taking taylor expansion of -1 in y 1.273 * [taylor]: Taking taylor expansion of 0 in y 1.275 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow y 2)))) in y 1.275 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 1.275 * [taylor]: Taking taylor expansion of 4 in y 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.279 * [taylor]: Taking taylor expansion of 0 in y 1.283 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 1.283 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.283 * [taylor]: Taking taylor expansion of 3 in y 1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.284 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.286 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.286 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 2) in (x y) around 0 1.286 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 2) in y 1.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.286 * [taylor]: Taking taylor expansion of x in y 1.286 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.286 * [taylor]: Taking taylor expansion of 2 in y 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.286 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 2) in x 1.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.286 * [taylor]: Taking taylor expansion of 2 in x 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.286 * [taylor]: Taking taylor expansion of y in x 1.287 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 2) in x 1.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.287 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.287 * [taylor]: Taking taylor expansion of 2 in x 1.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.287 * [taylor]: Taking taylor expansion of y in x 1.287 * [taylor]: Taking taylor expansion of (* 4 (pow y 4)) in y 1.287 * [taylor]: Taking taylor expansion of 4 in y 1.287 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.287 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of 0 in y 1.290 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in y 1.290 * [taylor]: Taking taylor expansion of 4 in y 1.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.290 * [taylor]: Taking taylor expansion of y in y 1.292 * [taylor]: Taking taylor expansion of 0 in y 1.296 * [taylor]: Taking taylor expansion of 1 in y 1.298 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 2) in (x y) around 0 1.298 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 2) in y 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.298 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.298 * [taylor]: Taking taylor expansion of x in y 1.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.298 * [taylor]: Taking taylor expansion of 2 in y 1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.298 * [taylor]: Taking taylor expansion of y in y 1.299 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 2) in x 1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.300 * [taylor]: Taking taylor expansion of 2 in x 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.300 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.300 * [taylor]: Taking taylor expansion of y in x 1.300 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 2) in x 1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.301 * [taylor]: Taking taylor expansion of 2 in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.301 * [taylor]: Taking taylor expansion of y in x 1.301 * [taylor]: Taking taylor expansion of 1 in y 1.303 * [taylor]: Taking taylor expansion of 0 in y 1.304 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 1.304 * [taylor]: Taking taylor expansion of 4 in y 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.307 * [taylor]: Taking taylor expansion of 0 in y 1.311 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 4))) in y 1.311 * [taylor]: Taking taylor expansion of 4 in y 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.311 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.311 * [taylor]: Taking taylor expansion of y in y 1.313 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 2) in (x y) around 0 1.313 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 2) in y 1.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.313 * [taylor]: Taking taylor expansion of x in y 1.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.313 * [taylor]: Taking taylor expansion of 2 in y 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.313 * [taylor]: Taking taylor expansion of y in y 1.314 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 2) in x 1.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.315 * [taylor]: Taking taylor expansion of 2 in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 2) in x 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.316 * [taylor]: Taking taylor expansion of 2 in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.316 * [taylor]: Taking taylor expansion of y in x 1.317 * [taylor]: Taking taylor expansion of 1 in y 1.318 * [taylor]: Taking taylor expansion of 0 in y 1.319 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 1.320 * [taylor]: Taking taylor expansion of 4 in y 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.320 * [taylor]: Taking taylor expansion of y in y 1.323 * [taylor]: Taking taylor expansion of 0 in y 1.329 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 4))) in y 1.329 * [taylor]: Taking taylor expansion of 4 in y 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.329 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.329 * [taylor]: Taking taylor expansion of y in y 1.332 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.332 * [approximate]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2))) in (y x) around 0 1.332 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2))) in x 1.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.332 * [taylor]: Taking taylor expansion of y in x 1.333 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2))) in y 1.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.333 * [taylor]: Taking taylor expansion of x in y 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.333 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2))) in y 1.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.333 * [taylor]: Taking taylor expansion of x in y 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.333 * [taylor]: Taking taylor expansion of (- (pow x 2)) in x 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of 0 in x 1.336 * [taylor]: Taking taylor expansion of -1 in x 1.338 * [taylor]: Taking taylor expansion of 0 in x 1.342 * [taylor]: Taking taylor expansion of 0 in x 1.343 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (y x) around 0 1.343 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.344 * [taylor]: Taking taylor expansion of y in x 1.344 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.344 * [taylor]: Taking taylor expansion of x in y 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.344 * [taylor]: Taking taylor expansion of y in y 1.345 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.345 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.345 * [taylor]: Taking taylor expansion of x in y 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.345 * [taylor]: Taking taylor expansion of y in y 1.347 * [taylor]: Taking taylor expansion of -1 in x 1.349 * [taylor]: Taking taylor expansion of 0 in x 1.351 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of 0 in x 1.365 * [taylor]: Taking taylor expansion of 0 in x 1.367 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (y x) around 0 1.368 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.368 * [taylor]: Taking taylor expansion of y in x 1.369 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.369 * [taylor]: Taking taylor expansion of x in y 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.369 * [taylor]: Taking taylor expansion of y in y 1.370 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.370 * [taylor]: Taking taylor expansion of x in y 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.370 * [taylor]: Taking taylor expansion of y in y 1.372 * [taylor]: Taking taylor expansion of -1 in x 1.373 * [taylor]: Taking taylor expansion of 0 in x 1.375 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of 0 in x 1.382 * [taylor]: Taking taylor expansion of 0 in x 1.383 * * * [progress]: simplifying candidates 1.384 * [simplify]: Simplifying using # : (- (+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4))) (- (- (* y y) (+ (pow x 2) (* y (+ y y))))) (/ 0 (- (* y y) (+ (pow x 2) (* y (+ y y))))) (/ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y)))) (pow y 4)) (- (* y y) (+ (pow x 2) (* y (+ y y))))) (/ 1 (- (* y y) (+ (pow x 2) (* y (+ y y))))) (/ (- (* y y) (+ (pow x 2) (* y (+ y y)))) (+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4))) (/ (+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (- (pow (* y y) 3) (pow (+ (pow x 2) (* y (+ y y))) 3))) (/ (+ (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (- (* (* y y) (* y y)) (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y)))))) (* (- (* y y) (+ (pow x 2) (* y (+ y y)))) (+ (* (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y)))))) (- (* (pow y 4) (pow y 4)) (* (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4))))) (* (- (* y y) (+ (pow x 2) (* y (+ y y)))) (- (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4))) (+ (pow (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) 3) (pow (pow y 4) 3)) (+ (* (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y)))))) (- (* (pow y 4) (pow y 4)) (* (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4)))) (- (* (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y)))))) (* (pow y 4) (pow y 4))) (- (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (+ (- (* (+ (pow x 2) (* y (+ y y))) (* y (+ y y)))) (pow y 4)) (+ (- (* (+ (pow x 2) (* y (+ y y))) (* y y))) (pow y 4)) (+ (- (* (+ (pow x 2) (* y (+ y y))) (* y y))) (pow y 4)) (+ (- (* (+ (pow x 2) (* y (+ y y))) (* y y))) (pow y 4)) (+ (- (* (+ (pow x 2) (* y (+ y y))) (* y y))) (pow y 4)) (+ (- (* (+ (pow x 2) (* y (+ y y))) (pow x 2))) (pow y 4)) (+ (- (* (* y (+ y y)) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (+ (- (* (* y y) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (+ (- (* (* y y) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (+ (- (* (* y y) (+ (pow x 2) (* y (+ y y))))) (pow y 4)) (+ (- 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