16.990 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.026 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.028 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.029 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.031 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.033 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.035 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.037 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.039 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.042 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.045 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.051 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.080 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.312 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.313 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.316 * * [progress]: iteration 1 / 4 0.316 * * * [progress]: picking best candidate 0.318 * * * * [pick]: Picked # 0.319 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.334 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.340 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.345 * * * [progress]: generating series expansions 0.345 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.345 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of 3 in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of 3 in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of 3 in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of 3 in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of 3 in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of 3 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.357 * [taylor]: Taking taylor expansion of 3 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of 1 in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.360 * [taylor]: Taking taylor expansion of 3 in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.369 * [taylor]: Taking taylor expansion of 3 in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.370 * [taylor]: Taking taylor expansion of 3 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.370 * [taylor]: Taking taylor expansion of 3 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of 1 in y 0.372 * [taylor]: Taking taylor expansion of 0 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 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.385 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.385 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 (* 2 (pow y 2)) in y 0.385 * [taylor]: Taking taylor expansion of 2 in y 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.385 * [taylor]: Taking taylor expansion of 2 in x 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.385 * [taylor]: Taking taylor expansion of 2 in x 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of 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 0 in y 0.388 * [taylor]: Taking taylor expansion of 1 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.394 * [taylor]: Taking taylor expansion of 2 in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.395 * [taylor]: Taking taylor expansion of 2 in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.396 * [taylor]: Taking taylor expansion of 2 in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of 1 in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.399 * [taylor]: Taking taylor expansion of 2 in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.407 * [taylor]: Taking taylor expansion of 2 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 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of 2 in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of 2 in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of 1 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.412 * [taylor]: Taking taylor expansion of 2 in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.421 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.421 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.421 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 1 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x 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 (pow x 2)) (/ 1 (pow y 2))) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of 1 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of 1 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.447 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying using # : (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.453 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.458 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.480 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.580 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.582 * [simplify]: Simplified to: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3)) (+ (pow y 4) (* (fma x x (fma y y (* y y))) (fma x x (* y y)))) (* (fma x x (* y y)) (fma y y (fma x x (fma y y (* y y))))) (fma x x (* y y)) (fma y y (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (exp (+ (fma x x (* y y)) (pow y 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* y y)) 3)) (+ (* (pow x 2) (fma x x (* y y))) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.582 * * * [progress]: adding candidates to table 0.702 * * [progress]: iteration 2 / 4 0.702 * * * [progress]: picking best candidate 0.709 * * * * [pick]: Picked # 0.709 * * * [progress]: localizing error 0.717 * * * [progress]: generating rewritten candidates 0.718 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.723 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.728 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.729 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.736 * * * [progress]: generating series expansions 0.736 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.736 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.736 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of 2 in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.737 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.737 * [taylor]: Taking taylor expansion of 2 in x 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.738 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.738 * [taylor]: Taking taylor expansion of 2 in x 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.739 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.739 * [taylor]: Taking taylor expansion of 2 in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.744 * [taylor]: Taking taylor expansion of 1/2 in y 0.744 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.744 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.744 * [taylor]: Taking taylor expansion of 2 in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.752 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.755 * [taylor]: Taking taylor expansion of x in y 0.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.755 * [taylor]: Taking taylor expansion of 2 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.755 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.759 * [taylor]: Taking taylor expansion of 2 in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.759 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.765 * [taylor]: Taking taylor expansion of 2 in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.765 * [taylor]: Taking taylor expansion of y in x 0.767 * [taylor]: Taking taylor expansion of 1 in y 0.767 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.774 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.774 * [taylor]: Taking taylor expansion of x in y 0.774 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.774 * [taylor]: Taking taylor expansion of 2 in y 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.777 * [taylor]: Taking taylor expansion of 2 in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.780 * [taylor]: Taking taylor expansion of 2 in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of 1 in y 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.789 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.789 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.789 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.789 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 (* 2 (pow y 2)) in y 0.789 * [taylor]: Taking taylor expansion of 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 (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.790 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 (* 2 (pow y 2)) in x 0.790 * [taylor]: Taking taylor expansion of 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 0.791 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.791 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of 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 0.792 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.792 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.792 * [taylor]: Taking taylor expansion of 2 in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.796 * [taylor]: Taking taylor expansion of 1/2 in y 0.796 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.796 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.797 * [taylor]: Taking taylor expansion of 2 in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.808 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.808 * [taylor]: Taking taylor expansion of 2 in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.811 * [taylor]: Taking taylor expansion of 2 in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.814 * [taylor]: Taking taylor expansion of 2 in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of 1 in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.823 * [taylor]: Taking taylor expansion of 2 in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.826 * [taylor]: Taking taylor expansion of 2 in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.829 * [taylor]: Taking taylor expansion of 2 in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.829 * [taylor]: Taking taylor expansion of y in x 0.831 * [taylor]: Taking taylor expansion of 1 in y 0.831 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of 0 in y 0.838 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.838 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 0.838 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 0.838 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.838 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 0.838 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.838 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.838 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.838 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.838 * [taylor]: Taking taylor expansion of 2 in y 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.839 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.839 * [taylor]: Taking taylor expansion of 2 in y 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.840 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.840 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.840 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.840 * [taylor]: Taking taylor expansion of 2 in x 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.841 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.841 * [taylor]: Taking taylor expansion of 2 in x 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.841 * [taylor]: Taking taylor expansion of y in x 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.842 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.842 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.842 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.842 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.843 * [taylor]: Taking taylor expansion of 2 in x 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.844 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 0.844 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.844 * [taylor]: Taking taylor expansion of 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 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.845 * [taylor]: Taking taylor expansion of y in x 0.846 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 0.846 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.846 * [taylor]: Taking taylor expansion of 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 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of 1 in y 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.880 * [taylor]: Taking taylor expansion of 0 in y 0.882 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 0.882 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 0.882 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.882 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.882 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.882 * [taylor]: Taking taylor expansion of 2 in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.885 * [taylor]: Taking taylor expansion of 2 in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 0.889 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.889 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.890 * [taylor]: Taking taylor expansion of 2 in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.890 * [taylor]: Taking taylor expansion of y in x 0.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.892 * [taylor]: Taking taylor expansion of 2 in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.893 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 0.895 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.895 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 0.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.895 * [taylor]: Taking taylor expansion of 2 in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.898 * [taylor]: Taking taylor expansion of 2 in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.901 * [taylor]: Taking taylor expansion of 1 in y 0.901 * [taylor]: Taking taylor expansion of 0 in y 0.906 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.906 * [taylor]: Taking taylor expansion of 3 in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 0.924 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 0.924 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.924 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.924 * [taylor]: Taking taylor expansion of 2 in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.927 * [taylor]: Taking taylor expansion of x in y 0.927 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.927 * [taylor]: Taking taylor expansion of 2 in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 0.931 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.931 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 0.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.931 * [taylor]: Taking taylor expansion of 2 in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.931 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.937 * [taylor]: Taking taylor expansion of 2 in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 0.940 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.940 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.940 * [taylor]: Taking taylor expansion of 2 in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.940 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.940 * [taylor]: Taking taylor expansion of y in x 0.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.943 * [taylor]: Taking taylor expansion of 2 in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of 1 in y 0.946 * [taylor]: Taking taylor expansion of 0 in y 0.951 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.951 * [taylor]: Taking taylor expansion of 3 in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.968 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.968 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.968 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.968 * [taylor]: Taking taylor expansion of x in y 0.968 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.968 * [taylor]: Taking taylor expansion of 2 in y 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.969 * [taylor]: Taking taylor expansion of 2 in x 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.969 * [taylor]: Taking taylor expansion of y in x 0.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.969 * [taylor]: Taking taylor expansion of 2 in x 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.969 * [taylor]: Taking taylor expansion of y in x 0.969 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.969 * [taylor]: Taking taylor expansion of 2 in y 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.970 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [taylor]: Taking taylor expansion of 1 in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.977 * [taylor]: Taking taylor expansion of 0 in y 0.977 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.977 * [taylor]: Taking taylor expansion of x in y 0.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.977 * [taylor]: Taking taylor expansion of 2 in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.978 * [taylor]: Taking taylor expansion of 2 in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.978 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.978 * [taylor]: Taking taylor expansion of y in x 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.979 * [taylor]: Taking taylor expansion of 2 in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.979 * [taylor]: Taking taylor expansion of y in x 0.980 * [taylor]: Taking taylor expansion of 1 in y 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.982 * [taylor]: Taking taylor expansion of 2 in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.990 * [taylor]: Taking taylor expansion of 2 in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.991 * [taylor]: Taking taylor expansion of 2 in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.992 * [taylor]: Taking taylor expansion of 2 in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.993 * [taylor]: Taking taylor expansion of 1 in y 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.995 * [taylor]: Taking taylor expansion of 2 in y 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.003 * * * [progress]: simplifying candidates 1.004 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.009 * * [simplify]: iteration 0 : 175 enodes (cost 647 ) 1.013 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.025 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.088 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.090 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma x x (fma y y (* y y))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (pow (fma (pow y 2) 3 (pow x 2)) 3) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (exp (fma x x (fma y y (* y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)) (fma y (pow y 5) (pow (fma x x (* y y)) 3)) (fma (pow x 2) (fma x x (* y y)) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) 1.091 * * * [progress]: adding candidates to table 1.301 * * [progress]: iteration 3 / 4 1.301 * * * [progress]: picking best candidate 1.314 * * * * [pick]: Picked # 1.314 * * * [progress]: localizing error 1.324 * * * [progress]: generating rewritten candidates 1.324 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.331 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.338 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.356 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.369 * * * [progress]: generating series expansions 1.369 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.369 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 (* 3 (pow y 2)) in y 1.369 * [taylor]: Taking taylor expansion of 3 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 (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.370 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.370 * [taylor]: Taking taylor expansion of 3 in x 1.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.370 * [taylor]: Taking taylor expansion of y in x 1.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.371 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.371 * [taylor]: Taking taylor expansion of 3 in x 1.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.371 * [taylor]: Taking taylor expansion of y in x 1.372 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.372 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.372 * [taylor]: Taking taylor expansion of 3 in y 1.373 * [taylor]: Taking taylor expansion of y in y 1.374 * [taylor]: Taking taylor expansion of 0 in y 1.377 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.377 * [taylor]: Taking taylor expansion of 1/2 in y 1.377 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.377 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.377 * [taylor]: Taking taylor expansion of 3 in y 1.378 * [taylor]: Taking taylor expansion of y in y 1.386 * [taylor]: Taking taylor expansion of 0 in y 1.389 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.389 * [taylor]: Taking taylor expansion of x in y 1.389 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.389 * [taylor]: Taking taylor expansion of 3 in y 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.389 * [taylor]: Taking taylor expansion of y in y 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.393 * [taylor]: Taking taylor expansion of 3 in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.393 * [taylor]: Taking taylor expansion of y in x 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.396 * [taylor]: Taking taylor expansion of 3 in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.396 * [taylor]: Taking taylor expansion of y in x 1.398 * [taylor]: Taking taylor expansion of 1 in y 1.398 * [taylor]: Taking taylor expansion of 0 in y 1.400 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.400 * [taylor]: Taking taylor expansion of 3/2 in y 1.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.400 * [taylor]: Taking taylor expansion of y in y 1.404 * [taylor]: Taking taylor expansion of 0 in y 1.409 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.409 * [taylor]: Taking taylor expansion of 3 in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.413 * [taylor]: Taking taylor expansion of 3 in x 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.413 * [taylor]: Taking taylor expansion of y in x 1.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (* 3 (/ 1 (pow y 2))) in x 1.415 * [taylor]: Taking taylor expansion of 3 in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 1.417 * [taylor]: Taking taylor expansion of 1 in y 1.417 * [taylor]: Taking taylor expansion of 0 in y 1.419 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.419 * [taylor]: Taking taylor expansion of 3/2 in y 1.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.420 * [taylor]: Taking taylor expansion of y in y 1.423 * [taylor]: Taking taylor expansion of 0 in y 1.424 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.424 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.424 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.424 * [taylor]: Taking taylor expansion of x in y 1.425 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.425 * [taylor]: Taking taylor expansion of 3 in y 1.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.425 * [taylor]: Taking taylor expansion of y in y 1.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.425 * [taylor]: Taking taylor expansion of 3 in x 1.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.425 * [taylor]: Taking taylor expansion of y in x 1.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.426 * [taylor]: Taking taylor expansion of 3 in x 1.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.426 * [taylor]: Taking taylor expansion of y in x 1.427 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.427 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.427 * [taylor]: Taking taylor expansion of 3 in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.428 * [taylor]: Taking taylor expansion of 0 in y 1.432 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.432 * [taylor]: Taking taylor expansion of 1/2 in y 1.432 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.432 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.432 * [taylor]: Taking taylor expansion of 3 in y 1.433 * [taylor]: Taking taylor expansion of y in y 1.440 * [taylor]: Taking taylor expansion of 0 in y 1.443 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.443 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.443 * [taylor]: Taking taylor expansion of x in y 1.443 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.443 * [taylor]: Taking taylor expansion of 3 in y 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.443 * [taylor]: Taking taylor expansion of y in y 1.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.447 * [taylor]: Taking taylor expansion of 3 in x 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.447 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.447 * [taylor]: Taking taylor expansion of y in x 1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.449 * [taylor]: Taking taylor expansion of 3 in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.449 * [taylor]: Taking taylor expansion of y in x 1.451 * [taylor]: Taking taylor expansion of 1 in y 1.451 * [taylor]: Taking taylor expansion of 0 in y 1.453 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.453 * [taylor]: Taking taylor expansion of 3/2 in y 1.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.453 * [taylor]: Taking taylor expansion of y in y 1.457 * [taylor]: Taking taylor expansion of 0 in y 1.458 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.458 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.459 * [taylor]: Taking taylor expansion of x in y 1.459 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.459 * [taylor]: Taking taylor expansion of 3 in y 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.459 * [taylor]: Taking taylor expansion of y in y 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 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 1.462 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.462 * [taylor]: Taking taylor expansion of 3 in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.462 * [taylor]: Taking taylor expansion of y in x 1.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.465 * [taylor]: Taking taylor expansion of 3 in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.465 * [taylor]: Taking taylor expansion of y in x 1.467 * [taylor]: Taking taylor expansion of 1 in y 1.467 * [taylor]: Taking taylor expansion of 0 in y 1.469 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.469 * [taylor]: Taking taylor expansion of 3/2 in y 1.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.473 * [taylor]: Taking taylor expansion of 0 in y 1.474 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.474 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.474 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.474 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.474 * [taylor]: Taking taylor expansion of x in y 1.474 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.474 * [taylor]: Taking taylor expansion of 3 in y 1.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.474 * [taylor]: Taking taylor expansion of y in y 1.474 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (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 (* 3 (pow y 2)) in x 1.474 * [taylor]: Taking taylor expansion of 3 in x 1.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.474 * [taylor]: Taking taylor expansion of y in x 1.474 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (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 (* 3 (pow y 2)) in x 1.475 * [taylor]: Taking taylor expansion of 3 in x 1.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.475 * [taylor]: Taking taylor expansion of y in x 1.475 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.475 * [taylor]: Taking taylor expansion of 3 in y 1.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.475 * [taylor]: Taking taylor expansion of y in y 1.475 * [taylor]: Taking taylor expansion of 0 in y 1.477 * [taylor]: Taking taylor expansion of 1 in y 1.479 * [taylor]: Taking taylor expansion of 0 in y 1.482 * [taylor]: Taking taylor expansion of 0 in y 1.483 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.483 * [taylor]: Taking taylor expansion of x in y 1.484 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.484 * [taylor]: Taking taylor expansion of 3 in y 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.484 * [taylor]: Taking taylor expansion of y in y 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.485 * [taylor]: Taking taylor expansion of 3 in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.485 * [taylor]: Taking taylor expansion of y in x 1.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.485 * [taylor]: Taking taylor expansion of 3 in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.485 * [taylor]: Taking taylor expansion of y in x 1.486 * [taylor]: Taking taylor expansion of 1 in y 1.487 * [taylor]: Taking taylor expansion of 0 in y 1.488 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.488 * [taylor]: Taking taylor expansion of 3 in y 1.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.488 * [taylor]: Taking taylor expansion of y in y 1.493 * [taylor]: Taking taylor expansion of 0 in y 1.497 * [taylor]: Taking taylor expansion of 0 in y 1.500 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.500 * [taylor]: Taking taylor expansion of x in y 1.500 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.500 * [taylor]: Taking taylor expansion of 3 in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.501 * [taylor]: Taking taylor expansion of 3 in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.501 * [taylor]: Taking taylor expansion of y in x 1.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.502 * [taylor]: Taking taylor expansion of 3 in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.502 * [taylor]: Taking taylor expansion of y in x 1.502 * [taylor]: Taking taylor expansion of 1 in y 1.503 * [taylor]: Taking taylor expansion of 0 in y 1.504 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.504 * [taylor]: Taking taylor expansion of 3 in y 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.504 * [taylor]: Taking taylor expansion of y in y 1.507 * [taylor]: Taking taylor expansion of 0 in y 1.510 * [taylor]: Taking taylor expansion of 0 in y 1.512 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.513 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.513 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.513 * [taylor]: Taking taylor expansion of x in y 1.513 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.513 * [taylor]: Taking taylor expansion of 3 in y 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.513 * [taylor]: Taking taylor expansion of y in y 1.513 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 1.513 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.513 * [taylor]: Taking taylor expansion of 3 in x 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.513 * [taylor]: Taking taylor expansion of y in x 1.513 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 1.513 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.513 * [taylor]: Taking taylor expansion of 3 in x 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.513 * [taylor]: Taking taylor expansion of y in x 1.513 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.513 * [taylor]: Taking taylor expansion of 3 in y 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.513 * [taylor]: Taking taylor expansion of y in y 1.514 * [taylor]: Taking taylor expansion of 0 in y 1.515 * [taylor]: Taking taylor expansion of 1 in y 1.518 * [taylor]: Taking taylor expansion of 0 in y 1.521 * [taylor]: Taking taylor expansion of 0 in y 1.521 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.521 * [taylor]: Taking taylor expansion of x in y 1.522 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.522 * [taylor]: Taking taylor expansion of 3 in y 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.522 * [taylor]: Taking taylor expansion of y in y 1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.523 * [taylor]: Taking taylor expansion of 3 in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.523 * [taylor]: Taking taylor expansion of y in x 1.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.523 * [taylor]: Taking taylor expansion of 3 in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.524 * [taylor]: Taking taylor expansion of y in x 1.524 * [taylor]: Taking taylor expansion of 1 in y 1.525 * [taylor]: Taking taylor expansion of 0 in y 1.526 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.526 * [taylor]: Taking taylor expansion of 3 in y 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.529 * [taylor]: Taking taylor expansion of 0 in y 1.533 * [taylor]: Taking taylor expansion of 0 in y 1.535 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.535 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.535 * [taylor]: Taking taylor expansion of x in y 1.535 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.535 * [taylor]: Taking taylor expansion of 3 in y 1.535 * [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)) (* 3 (/ 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 (* 3 (/ 1 (pow y 2))) in x 1.536 * [taylor]: Taking taylor expansion of 3 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)) (* 3 (/ 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 1.537 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.537 * [taylor]: Taking taylor expansion of 3 in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.537 * [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 (* 3 (/ 1 (pow y 2))) in y 1.539 * [taylor]: Taking taylor expansion of 3 in y 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.542 * [taylor]: Taking taylor expansion of 0 in y 1.546 * [taylor]: Taking taylor expansion of 0 in y 1.548 * * * [progress]: simplifying candidates 1.550 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (log (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (exp (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (+ (* x x) (* y y)) 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(+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* 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))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) 1 (fma (pow y 2) 3 (pow x 2)) (sqrt (+ (+ (+ (* 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))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) 1 (fma (pow y 2) 3 (pow x 2)) (sqrt (+ (+ (+ (* 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))) (sqrt (+ (+ (+ (* 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))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y 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(+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))))) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (hypot (pow (+ (+ (* x x) (* y y)) (* y y)) 3/2) (pow y 3))) (* (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))))) (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (fma y y (* y y))) 3)) (+ (pow y 4) (* (fma x x (fma y y (* y y))) (fma x x (* y y)))) (* (* (fma x x (* y y)) 1) (fma (pow y 2) 3 (pow x 2))) (fma x x (* y y)) (fma y y (* y y)) (* (sqrt 3) y) x (* -1 x) (* (sqrt 3) y) x (* -1 x) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) 1.600 * * * [progress]: adding candidates to table 1.852 * * [progress]: iteration 4 / 4 1.852 * * * [progress]: picking best candidate 1.862 * * * * [pick]: Picked # 1.863 * * * [progress]: localizing error 1.876 * * * [progress]: generating rewritten candidates 1.877 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.882 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.887 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.894 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.922 * * * [progress]: generating series expansions 1.922 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.922 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in (x y) around 0 1.922 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in y 1.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in y 1.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in y 1.922 * [taylor]: Taking taylor expansion of 1/3 in y 1.922 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in y 1.922 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.923 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.923 * [taylor]: Taking taylor expansion of x in y 1.923 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.923 * [taylor]: Taking taylor expansion of 2 in y 1.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.923 * [taylor]: Taking taylor expansion of y in y 1.923 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 1.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 1.923 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 1.923 * [taylor]: Taking taylor expansion of 1/3 in x 1.923 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 1.923 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.923 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.923 * [taylor]: Taking taylor expansion of 2 in x 1.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.923 * [taylor]: Taking taylor expansion of y in x 1.924 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 1.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 1.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 1.924 * [taylor]: Taking taylor expansion of 1/3 in x 1.924 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 1.924 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.924 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.924 * [taylor]: Taking taylor expansion of 2 in x 1.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.924 * [taylor]: Taking taylor expansion of y in x 1.924 * [taylor]: Taking taylor expansion of (pow (* 2 (pow y 2)) 1/3) in y 1.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* 2 (pow y 2))))) in y 1.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 2 (pow y 2)))) in y 1.924 * [taylor]: Taking taylor expansion of 1/3 in y 1.924 * [taylor]: Taking taylor expansion of (log (* 2 (pow y 2))) in y 1.924 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.924 * [taylor]: Taking taylor expansion of 2 in y 1.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.924 * [taylor]: Taking taylor expansion of y in y 1.929 * [taylor]: Taking taylor expansion of 0 in y 1.936 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 2 (pow y 4)) 1/3)) in y 1.936 * [taylor]: Taking taylor expansion of 1/6 in y 1.936 * [taylor]: Taking taylor expansion of (pow (/ 2 (pow y 4)) 1/3) in y 1.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow y 4))))) in y 1.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 2 (pow y 4)))) in y 1.936 * [taylor]: Taking taylor expansion of 1/3 in y 1.936 * [taylor]: Taking taylor expansion of (log (/ 2 (pow y 4))) in y 1.936 * [taylor]: Taking taylor expansion of (/ 2 (pow y 4)) in y 1.936 * [taylor]: Taking taylor expansion of 2 in y 1.936 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.936 * [taylor]: Taking taylor expansion of y in y 1.949 * [taylor]: Taking taylor expansion of 0 in y 1.961 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 1.961 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 1.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 1.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.961 * [taylor]: Taking taylor expansion of 1/3 in y 1.961 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.961 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.961 * [taylor]: Taking taylor expansion of x in y 1.962 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.962 * [taylor]: Taking taylor expansion of 2 in y 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.962 * [taylor]: Taking taylor expansion of y in y 1.964 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 1.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 1.964 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.964 * [taylor]: Taking taylor expansion of 1/3 in x 1.964 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.965 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.965 * [taylor]: Taking taylor expansion of 2 in x 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.965 * [taylor]: Taking taylor expansion of y in x 1.966 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 1.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 1.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.966 * [taylor]: Taking taylor expansion of 1/3 in x 1.966 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.966 * [taylor]: Taking taylor expansion of 2 in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.966 * [taylor]: Taking taylor expansion of y in x 1.967 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.967 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.967 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.967 * [taylor]: Taking taylor expansion of -2/3 in y 1.967 * [taylor]: Taking taylor expansion of (log x) in y 1.967 * [taylor]: Taking taylor expansion of x in y 1.970 * [taylor]: Taking taylor expansion of 0 in y 1.975 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.975 * [taylor]: Taking taylor expansion of 2/3 in y 1.975 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.975 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.975 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.975 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.975 * [taylor]: Taking taylor expansion of 1/3 in y 1.975 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.975 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.975 * [taylor]: Taking taylor expansion of x in y 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.976 * [taylor]: Taking taylor expansion of y in y 1.997 * [taylor]: Taking taylor expansion of 0 in y 1.997 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 1.997 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 1.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 1.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.997 * [taylor]: Taking taylor expansion of 1/3 in y 1.997 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.998 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.998 * [taylor]: Taking taylor expansion of x in y 1.998 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.998 * [taylor]: Taking taylor expansion of 2 in y 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.998 * [taylor]: Taking taylor expansion of y in y 2.000 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.000 * [taylor]: Taking taylor expansion of 1/3 in x 2.000 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.000 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.001 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.001 * [taylor]: Taking taylor expansion of 2 in x 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.001 * [taylor]: Taking taylor expansion of y in x 2.002 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.002 * [taylor]: Taking taylor expansion of 1/3 in x 2.002 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.002 * [taylor]: Taking taylor expansion of 2 in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.002 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.003 * [taylor]: Taking taylor expansion of y in x 2.004 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.004 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.004 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.004 * [taylor]: Taking taylor expansion of -2/3 in y 2.004 * [taylor]: Taking taylor expansion of (log x) in y 2.004 * [taylor]: Taking taylor expansion of x in y 2.007 * [taylor]: Taking taylor expansion of 0 in y 2.012 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.012 * [taylor]: Taking taylor expansion of 2/3 in y 2.012 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.012 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.012 * [taylor]: Taking taylor expansion of 1/3 in y 2.012 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.012 * [taylor]: Taking taylor expansion of x in y 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.029 * [taylor]: Taking taylor expansion of 0 in y 2.030 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 2.030 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in (x y) around 0 2.030 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in y 2.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in y 2.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in y 2.030 * [taylor]: Taking taylor expansion of 1/3 in y 2.030 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in y 2.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 2.030 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.030 * [taylor]: Taking taylor expansion of x in y 2.030 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.030 * [taylor]: Taking taylor expansion of 2 in y 2.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.030 * [taylor]: Taking taylor expansion of y in y 2.030 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 2.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 2.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 2.030 * [taylor]: Taking taylor expansion of 1/3 in x 2.030 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 2.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.031 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.031 * [taylor]: Taking taylor expansion of 2 in x 2.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.031 * [taylor]: Taking taylor expansion of y in x 2.031 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 2.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 2.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 2.031 * [taylor]: Taking taylor expansion of 1/3 in x 2.031 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 2.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.031 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.031 * [taylor]: Taking taylor expansion of 2 in x 2.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.031 * [taylor]: Taking taylor expansion of y in x 2.032 * [taylor]: Taking taylor expansion of (pow (* 2 (pow y 2)) 1/3) in y 2.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* 2 (pow y 2))))) in y 2.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 2 (pow y 2)))) in y 2.032 * [taylor]: Taking taylor expansion of 1/3 in y 2.032 * [taylor]: Taking taylor expansion of (log (* 2 (pow y 2))) in y 2.032 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.032 * [taylor]: Taking taylor expansion of 2 in y 2.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.032 * [taylor]: Taking taylor expansion of y in y 2.036 * [taylor]: Taking taylor expansion of 0 in y 2.043 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 2 (pow y 4)) 1/3)) in y 2.043 * [taylor]: Taking taylor expansion of 1/6 in y 2.043 * [taylor]: Taking taylor expansion of (pow (/ 2 (pow y 4)) 1/3) in y 2.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow y 4))))) in y 2.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 2 (pow y 4)))) in y 2.043 * [taylor]: Taking taylor expansion of 1/3 in y 2.043 * [taylor]: Taking taylor expansion of (log (/ 2 (pow y 4))) in y 2.043 * [taylor]: Taking taylor expansion of (/ 2 (pow y 4)) in y 2.043 * [taylor]: Taking taylor expansion of 2 in y 2.043 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.043 * [taylor]: Taking taylor expansion of y in y 2.056 * [taylor]: Taking taylor expansion of 0 in y 2.068 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 2.068 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 2.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 2.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 2.068 * [taylor]: Taking taylor expansion of 1/3 in y 2.068 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.071 * [taylor]: Taking taylor expansion of x in y 2.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.071 * [taylor]: Taking taylor expansion of 2 in y 2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.071 * [taylor]: Taking taylor expansion of y in y 2.074 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.074 * [taylor]: Taking taylor expansion of 1/3 in x 2.074 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.074 * [taylor]: Taking taylor expansion of 2 in x 2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.074 * [taylor]: Taking taylor expansion of y in x 2.075 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.076 * [taylor]: Taking taylor expansion of 1/3 in x 2.076 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.076 * [taylor]: Taking taylor expansion of 2 in x 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.076 * [taylor]: Taking taylor expansion of y in x 2.077 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.077 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.077 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.077 * [taylor]: Taking taylor expansion of -2/3 in y 2.077 * [taylor]: Taking taylor expansion of (log x) in y 2.077 * [taylor]: Taking taylor expansion of x in y 2.080 * [taylor]: Taking taylor expansion of 0 in y 2.085 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.085 * [taylor]: Taking taylor expansion of 2/3 in y 2.085 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.085 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.085 * [taylor]: Taking taylor expansion of 1/3 in y 2.085 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.085 * [taylor]: Taking taylor expansion of x in y 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.086 * [taylor]: Taking taylor expansion of y in y 2.103 * [taylor]: Taking taylor expansion of 0 in y 2.104 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 2.104 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 2.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 2.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 2.104 * [taylor]: Taking taylor expansion of 1/3 in y 2.104 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.104 * [taylor]: Taking taylor expansion of x in y 2.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.104 * [taylor]: Taking taylor expansion of 2 in y 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.104 * [taylor]: Taking taylor expansion of y in y 2.107 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.107 * [taylor]: Taking taylor expansion of 1/3 in x 2.107 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.107 * [taylor]: Taking taylor expansion of 2 in x 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.107 * [taylor]: Taking taylor expansion of y in x 2.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.109 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.109 * [taylor]: Taking taylor expansion of 1/3 in x 2.109 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.109 * [taylor]: Taking taylor expansion of 2 in x 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.109 * [taylor]: Taking taylor expansion of y in x 2.110 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.110 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.110 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.110 * [taylor]: Taking taylor expansion of -2/3 in y 2.110 * [taylor]: Taking taylor expansion of (log x) in y 2.110 * [taylor]: Taking taylor expansion of x in y 2.113 * [taylor]: Taking taylor expansion of 0 in y 2.118 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.118 * [taylor]: Taking taylor expansion of 2/3 in y 2.118 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.118 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.118 * [taylor]: Taking taylor expansion of 1/3 in y 2.118 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.118 * [taylor]: Taking taylor expansion of x in y 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.119 * [taylor]: Taking taylor expansion of y in y 2.136 * [taylor]: Taking taylor expansion of 0 in y 2.136 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 2.136 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in (x y) around 0 2.136 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in y 2.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in y 2.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in y 2.136 * [taylor]: Taking taylor expansion of 1/3 in y 2.136 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in y 2.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 2.136 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.136 * [taylor]: Taking taylor expansion of x in y 2.136 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.136 * [taylor]: Taking taylor expansion of 2 in y 2.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.136 * [taylor]: Taking taylor expansion of y in y 2.137 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 2.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 2.137 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 2.137 * [taylor]: Taking taylor expansion of 1/3 in x 2.137 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 2.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.137 * [taylor]: Taking taylor expansion of 2 in x 2.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.137 * [taylor]: Taking taylor expansion of y in x 2.137 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 2 (pow y 2))) 1/3) in x 2.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2)))))) in x 2.137 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 2 (pow y 2))))) in x 2.137 * [taylor]: Taking taylor expansion of 1/3 in x 2.137 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 2 (pow y 2)))) in x 2.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.137 * [taylor]: Taking taylor expansion of 2 in x 2.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.137 * [taylor]: Taking taylor expansion of y in x 2.138 * [taylor]: Taking taylor expansion of (pow (* 2 (pow y 2)) 1/3) in y 2.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* 2 (pow y 2))))) in y 2.138 * [taylor]: Taking taylor expansion of (* 1/3 (log (* 2 (pow y 2)))) in y 2.138 * [taylor]: Taking taylor expansion of 1/3 in y 2.138 * [taylor]: Taking taylor expansion of (log (* 2 (pow y 2))) in y 2.138 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.138 * [taylor]: Taking taylor expansion of 2 in y 2.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.138 * [taylor]: Taking taylor expansion of y in y 2.142 * [taylor]: Taking taylor expansion of 0 in y 2.149 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 2 (pow y 4)) 1/3)) in y 2.149 * [taylor]: Taking taylor expansion of 1/6 in y 2.149 * [taylor]: Taking taylor expansion of (pow (/ 2 (pow y 4)) 1/3) in y 2.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (pow y 4))))) in y 2.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 2 (pow y 4)))) in y 2.149 * [taylor]: Taking taylor expansion of 1/3 in y 2.149 * [taylor]: Taking taylor expansion of (log (/ 2 (pow y 4))) in y 2.149 * [taylor]: Taking taylor expansion of (/ 2 (pow y 4)) in y 2.149 * [taylor]: Taking taylor expansion of 2 in y 2.149 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.149 * [taylor]: Taking taylor expansion of y in y 2.166 * [taylor]: Taking taylor expansion of 0 in y 2.178 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 2.178 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 2.178 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 2.178 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 2.178 * [taylor]: Taking taylor expansion of 1/3 in y 2.178 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.178 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.178 * [taylor]: Taking taylor expansion of x in y 2.178 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.178 * [taylor]: Taking taylor expansion of 2 in y 2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.178 * [taylor]: Taking taylor expansion of y in y 2.181 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.181 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.181 * [taylor]: Taking taylor expansion of 1/3 in x 2.181 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.181 * [taylor]: Taking taylor expansion of x in x 2.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.181 * [taylor]: Taking taylor expansion of 2 in x 2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.181 * [taylor]: Taking taylor expansion of y in x 2.182 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.183 * [taylor]: Taking taylor expansion of 1/3 in x 2.183 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.183 * [taylor]: Taking taylor expansion of 2 in x 2.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.183 * [taylor]: Taking taylor expansion of y in x 2.184 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.184 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.184 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.184 * [taylor]: Taking taylor expansion of -2/3 in y 2.184 * [taylor]: Taking taylor expansion of (log x) in y 2.184 * [taylor]: Taking taylor expansion of x in y 2.187 * [taylor]: Taking taylor expansion of 0 in y 2.192 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.192 * [taylor]: Taking taylor expansion of 2/3 in y 2.192 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.192 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.192 * [taylor]: Taking taylor expansion of 1/3 in y 2.192 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.192 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.192 * [taylor]: Taking taylor expansion of x in y 2.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.193 * [taylor]: Taking taylor expansion of y in y 2.210 * [taylor]: Taking taylor expansion of 0 in y 2.210 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in (x y) around 0 2.211 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in y 2.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in y 2.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 2.211 * [taylor]: Taking taylor expansion of 1/3 in y 2.211 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.211 * [taylor]: Taking taylor expansion of x in y 2.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.211 * [taylor]: Taking taylor expansion of 2 in y 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.211 * [taylor]: Taking taylor expansion of y in y 2.213 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.214 * [taylor]: Taking taylor expansion of 1/3 in x 2.214 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.214 * [taylor]: Taking taylor expansion of x in x 2.214 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.214 * [taylor]: Taking taylor expansion of 2 in x 2.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.214 * [taylor]: Taking taylor expansion of y in x 2.215 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1/3) in x 2.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))))) in x 2.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 2.215 * [taylor]: Taking taylor expansion of 1/3 in x 2.215 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.215 * [taylor]: Taking taylor expansion of x in x 2.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.216 * [taylor]: Taking taylor expansion of 2 in x 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.216 * [taylor]: Taking taylor expansion of y in x 2.217 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.217 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.217 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.217 * [taylor]: Taking taylor expansion of -2/3 in y 2.217 * [taylor]: Taking taylor expansion of (log x) in y 2.217 * [taylor]: Taking taylor expansion of x in y 2.220 * [taylor]: Taking taylor expansion of 0 in y 2.225 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.225 * [taylor]: Taking taylor expansion of 2/3 in y 2.225 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.225 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.225 * [taylor]: Taking taylor expansion of 1/3 in y 2.225 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.225 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.225 * [taylor]: Taking taylor expansion of x in y 2.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.226 * [taylor]: Taking taylor expansion of y in y 2.243 * [taylor]: Taking taylor expansion of 0 in y 2.243 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.244 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 2.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 2.244 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 2.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.244 * [taylor]: Taking taylor expansion of x in y 2.244 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.244 * [taylor]: Taking taylor expansion of 2 in y 2.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.244 * [taylor]: Taking taylor expansion of y in y 2.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 2.244 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.244 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.244 * [taylor]: Taking taylor expansion of 2 in x 2.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.245 * [taylor]: Taking taylor expansion of y in x 2.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 2.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 2.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.246 * [taylor]: Taking taylor expansion of x in x 2.246 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 2.246 * [taylor]: Taking taylor expansion of 2 in x 2.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.246 * [taylor]: Taking taylor expansion of y in x 2.247 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.247 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.247 * [taylor]: Taking taylor expansion of 2 in y 2.247 * [taylor]: Taking taylor expansion of y in y 2.248 * [taylor]: Taking taylor expansion of 0 in y 2.254 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 2.254 * [taylor]: Taking taylor expansion of 1/2 in y 2.254 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.254 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.254 * [taylor]: Taking taylor expansion of 2 in y 2.255 * [taylor]: Taking taylor expansion of y in y 2.262 * [taylor]: Taking taylor expansion of 0 in y 2.266 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 2.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.266 * [taylor]: Taking taylor expansion of x in y 2.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.266 * [taylor]: Taking taylor expansion of 2 in y 2.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.266 * [taylor]: Taking taylor expansion of y in y 2.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.269 * [taylor]: Taking taylor expansion of x in x 2.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.269 * [taylor]: Taking taylor expansion of 2 in x 2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.269 * [taylor]: Taking taylor expansion of y in x 2.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.272 * [taylor]: Taking taylor expansion of x in x 2.272 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.272 * [taylor]: Taking taylor expansion of 2 in x 2.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.272 * [taylor]: Taking taylor expansion of y in x 2.274 * [taylor]: Taking taylor expansion of 1 in y 2.274 * [taylor]: Taking taylor expansion of 0 in y 2.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.277 * [taylor]: Taking taylor expansion of y in y 2.280 * [taylor]: Taking taylor expansion of 0 in y 2.282 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 2.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 2.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.282 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.282 * [taylor]: Taking taylor expansion of x in y 2.282 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.282 * [taylor]: Taking taylor expansion of 2 in y 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.282 * [taylor]: Taking taylor expansion of y in y 2.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.285 * [taylor]: Taking taylor expansion of x in x 2.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.286 * [taylor]: Taking taylor expansion of 2 in x 2.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.286 * [taylor]: Taking taylor expansion of y in x 2.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 2.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 2.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.288 * [taylor]: Taking taylor expansion of x in x 2.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 2.288 * [taylor]: Taking taylor expansion of 2 in x 2.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.289 * [taylor]: Taking taylor expansion of y in x 2.291 * [taylor]: Taking taylor expansion of 1 in y 2.291 * [taylor]: Taking taylor expansion of 0 in y 2.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.293 * [taylor]: Taking taylor expansion of y in y 2.296 * [taylor]: Taking taylor expansion of 0 in y 2.297 * * * [progress]: simplifying candidates 2.299 * [simplify]: Simplifying using # : (expm1 (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (log (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt 1) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (cbrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (cbrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (cbrt (- (+ (* x x) (* y y)) (* y y))) (* (cbrt (cbrt (+ (+ (* x x) (* y 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(cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (cbrt (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (cbrt (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))))) (cbrt (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (* (* (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) 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(* x x) (* y y)) (* y y))) (cbrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (- (+ (* x x) (* y y)) (* y y)))) 1/2 3/2 3/2 3/2 1/2 3/2 1/6 1/2 1/2 3/2 3/2 3/2 3/2 3/2 1/2 (sqrt (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (sqrt (* (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))))) (fma (* 1/6 (exp (* 1/3 (- (log 2) (* 4 (log y)))))) (pow x 2) (* (pow y 2/3) (pow 2 1/3))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (fma (* 1/6 (exp (* 1/3 (- (log 2) (* 4 (log y)))))) (pow x 2) (* (pow y 2/3) (pow 2 1/3))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (fma (* 1/6 (exp (* 1/3 (- (log 2) (* 4 (log y)))))) (pow x 2) (* (pow y 2/3) (pow 2 1/3))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (* (sqrt 2) y) x (* -1 x) 2.452 * * * [progress]: adding candidates to table 2.777 * [progress]: [Phase 3 of 3] Extracting. 2.777 * * [regime]: Finding splitpoints for: (# # # # # #) 2.779 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 2.779 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.800 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.826 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 2.849 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.876 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.901 * * * [regime]: Found split indices: #