14.588 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.037 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.038 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.040 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.041 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.043 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.044 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.046 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.049 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.051 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.054 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.059 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.088 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.314 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.315 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.317 * * [progress]: iteration 1 / 4 0.317 * * * [progress]: picking best candidate 0.319 * * * * [pick]: Picked # 0.319 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.371 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.385 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.388 * * * [progress]: generating series expansions 0.388 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.388 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.388 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of 3 in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of 3 in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of 3 in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of 3 in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [taylor]: Taking taylor expansion of 1 in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of 3 in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.398 * [taylor]: Taking taylor expansion of 3 in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.399 * [taylor]: Taking taylor expansion of 3 in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of 1 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.402 * [taylor]: Taking taylor expansion of 3 in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.410 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.410 * [taylor]: Taking taylor expansion of 3 in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.411 * [taylor]: Taking taylor expansion of 3 in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.412 * [taylor]: Taking taylor expansion of 3 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of 1 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.414 * [taylor]: Taking taylor expansion of 3 in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.422 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.422 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.422 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.422 * [taylor]: Taking taylor expansion of 2 in y 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.423 * [taylor]: Taking taylor expansion of 2 in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.423 * [taylor]: Taking taylor expansion of 2 in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of 2 in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 1 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of 2 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 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of 2 in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.433 * [taylor]: Taking taylor expansion of 2 in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of 1 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.435 * [taylor]: Taking taylor expansion of 2 in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.443 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.444 * [taylor]: Taking taylor expansion of 2 in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.445 * [taylor]: Taking taylor expansion of 2 in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.445 * [taylor]: Taking taylor expansion of 2 in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of 1 in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.448 * [taylor]: Taking taylor expansion of 2 in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.456 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.456 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.456 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.456 * [taylor]: Taking taylor expansion of x in y 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [taylor]: Taking taylor expansion of 1 in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of 1 in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of 1 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.486 * * * [progress]: simplifying candidates 0.487 * [simplify]: Simplifying using # : (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.491 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.497 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.517 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 0.611 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 0.612 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (+ (+ (* x x) (* y y)) (* y (+ y y))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (pow x 2) (pow y 2)) (* y (+ y y)) (exp (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (+ (pow x 2) (* y (+ y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4)) (* (pow x 2) (+ (pow x 2) (* y (+ y y)))) (pow x 2) (* y (+ y y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.613 * * * [progress]: adding candidates to table 0.700 * * [progress]: iteration 2 / 4 0.700 * * * [progress]: picking best candidate 0.712 * * * * [pick]: Picked # 0.712 * * * [progress]: localizing error 0.721 * * * [progress]: generating rewritten candidates 0.721 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.734 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.746 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.807 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.831 * * * [progress]: generating series expansions 0.831 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.831 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.831 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.831 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.831 * [taylor]: Taking taylor expansion of x in y 0.831 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.831 * [taylor]: Taking taylor expansion of 2 in y 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.832 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.832 * [taylor]: Taking taylor expansion of 2 in x 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.832 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.833 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.833 * [taylor]: Taking taylor expansion of 2 in x 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.834 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.834 * [taylor]: Taking taylor expansion of 2 in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [taylor]: Taking taylor expansion of 0 in y 0.839 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.839 * [taylor]: Taking taylor expansion of 1/2 in y 0.839 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.839 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.839 * [taylor]: Taking taylor expansion of 2 in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.854 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.854 * [taylor]: Taking taylor expansion of x in y 0.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.854 * [taylor]: Taking taylor expansion of 2 in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.857 * [taylor]: Taking taylor expansion of 2 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.860 * [taylor]: Taking taylor expansion of 2 in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.862 * [taylor]: Taking taylor expansion of 1 in y 0.862 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of 0 in y 0.869 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.869 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.869 * [taylor]: Taking taylor expansion of 2 in y 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.869 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.873 * [taylor]: Taking taylor expansion of 2 in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.873 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.876 * [taylor]: Taking taylor expansion of 2 in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of 1 in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of 0 in y 0.885 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.885 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.885 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of 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 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.886 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.886 * [taylor]: Taking taylor expansion of 2 in x 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.886 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.887 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of 2 in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.888 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.888 * [taylor]: Taking taylor expansion of 2 in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of 0 in y 0.893 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.893 * [taylor]: Taking taylor expansion of 1/2 in y 0.893 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.893 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.893 * [taylor]: Taking taylor expansion of 2 in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of 0 in y 0.903 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.903 * [taylor]: Taking taylor expansion of 2 in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of 2 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.910 * [taylor]: Taking taylor expansion of 2 in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of 1 in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.919 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.919 * [taylor]: Taking taylor expansion of 2 in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.922 * [taylor]: Taking taylor expansion of 2 in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.925 * [taylor]: Taking taylor expansion of 2 in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.927 * [taylor]: Taking taylor expansion of 1 in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.934 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.934 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.934 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.934 * [taylor]: Taking taylor expansion of 2 in y 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.934 * [taylor]: Taking taylor expansion of 2 in x 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.934 * [taylor]: Taking taylor expansion of 2 in x 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.940 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.940 * [taylor]: Taking taylor expansion of 2 in y 0.940 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of 1 in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.949 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.949 * [taylor]: Taking taylor expansion of 2 in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.950 * [taylor]: Taking taylor expansion of 2 in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.951 * [taylor]: Taking taylor expansion of 2 in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.952 * [taylor]: Taking taylor expansion of 1 in y 0.953 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.954 * [taylor]: Taking taylor expansion of 2 in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.962 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.962 * [taylor]: Taking taylor expansion of 2 in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.963 * [taylor]: Taking taylor expansion of 2 in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.964 * [taylor]: Taking taylor expansion of 2 in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.964 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.965 * [taylor]: Taking taylor expansion of 1 in y 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.967 * [taylor]: Taking taylor expansion of 2 in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of 0 in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.975 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.975 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.975 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.975 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.975 * [taylor]: Taking taylor expansion of x in y 0.975 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.975 * [taylor]: Taking taylor expansion of 3 in y 0.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.975 * [taylor]: Taking taylor expansion of 3 in x 0.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.975 * [taylor]: Taking taylor expansion of y in x 0.975 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.975 * [taylor]: Taking taylor expansion of 3 in x 0.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.975 * [taylor]: Taking taylor expansion of y in x 0.976 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of 3 in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.976 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [taylor]: Taking taylor expansion of 1 in y 0.980 * [taylor]: Taking taylor expansion of 0 in y 0.983 * [taylor]: Taking taylor expansion of 0 in y 0.984 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.984 * [taylor]: Taking taylor expansion of 3 in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.985 * [taylor]: Taking taylor expansion of 3 in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.986 * [taylor]: Taking taylor expansion of 3 in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.986 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of 1 in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.989 * [taylor]: Taking taylor expansion of 3 in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of 0 in y 0.995 * [taylor]: Taking taylor expansion of 0 in y 0.997 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.997 * [taylor]: Taking taylor expansion of 3 in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.998 * [taylor]: Taking taylor expansion of 3 in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.998 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.999 * [taylor]: Taking taylor expansion of 3 in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.999 * [taylor]: Taking taylor expansion of y in x 1.000 * [taylor]: Taking taylor expansion of 1 in y 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.002 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.002 * [taylor]: Taking taylor expansion of 3 in y 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.005 * [taylor]: Taking taylor expansion of 0 in y 1.009 * [taylor]: Taking taylor expansion of 0 in y 1.010 * * * [progress]: simplifying candidates 1.012 * [simplify]: Simplifying using # : (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 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y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) (+ (* (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)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (+ (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (pow (* y y) 3)) (+ (* (* (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))))) (- (* (* y y) (* y y)) (* (* (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)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* y y) (* y y))) (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.020 * * [simplify]: iteration 0 : 244 enodes (cost 1209 ) 1.026 * * [simplify]: iteration 1 : 1203 enodes (cost 1041 ) 1.055 * * [simplify]: iteration 2 : 5001 enodes (cost 979 ) 1.065 * [simplify]: Simplified to: (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 (sqrt (+ (+ (* x x) (* y y)) (* y y))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 (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)))) (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 (sqrt (+ (+ (* x x) (* y y)) (* y y))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 (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)))) 1 1 2 1 1 (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 4) (+ (* y (+ y y)) (pow x 2)) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 4) 2 (* 2 (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* 2 (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (pow (exp 1) (+ (* y (+ y y)) (pow x 2))) (pow (+ (* y (+ y y)) (pow x 2)) 3) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (+ (* y (+ y y)) (pow x 2)) 3) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 4) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (pow x 2) (+ (* x x) (* 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))))) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (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))))) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (+ (* x x) (* y y)) (* y y)))) (+ (pow x 4) (* (pow x 2) (* 2 (pow y 2)))) (pow x 2) (pow (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 4) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* 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))) (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))) 1 (+ (* y (+ y y)) (pow x 2)) (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))) 1 (+ (* y (+ y y)) (pow x 2)) (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 (+ (+ (* 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))) 1 2 1 (* (pow (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 4) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (pow (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 4) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (+ (* y (+ y y)) (pow x 2)) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (+ (* y (+ y y)) (pow x 2)) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (+ (* 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))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (pow y 2))) (log (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (pow y 2))) (* (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (pow (+ (+ (pow y 2) (pow x 2)) (* y (+ y y))) 3) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (+ (pow (* y y) 3) (* (pow (+ (+ (* x x) (* y y)) (* y y)) 3/2) (pow (+ (+ (* x x) (* y y)) (* y y)) 3/2))) (+ (pow y 4) (* (+ (* y (+ y y)) (pow x 2)) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (pow y 2) (+ (+ (* x x) (* y y)) (* y y)))) (+ (* x x) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.066 * * * [progress]: adding candidates to table 1.267 * * [progress]: iteration 3 / 4 1.267 * * * [progress]: picking best candidate 1.287 * * * * [pick]: Picked # 1.287 * * * [progress]: localizing error 1.296 * * * [progress]: generating rewritten candidates 1.296 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.309 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.322 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.387 * * * [progress]: generating series expansions 1.388 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.388 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.388 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.388 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.388 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.388 * [taylor]: Taking taylor expansion of x in y 1.388 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.388 * [taylor]: Taking taylor expansion of 2 in y 1.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.388 * [taylor]: Taking taylor expansion of y in y 1.389 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.389 * [taylor]: Taking taylor expansion of 2 in x 1.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.389 * [taylor]: Taking taylor expansion of y in x 1.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.390 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.390 * [taylor]: Taking taylor expansion of 2 in x 1.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.390 * [taylor]: Taking taylor expansion of y in x 1.391 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.391 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.391 * [taylor]: Taking taylor expansion of 2 in y 1.392 * [taylor]: Taking taylor expansion of y in y 1.392 * [taylor]: Taking taylor expansion of 0 in y 1.396 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.396 * [taylor]: Taking taylor expansion of 1/2 in y 1.396 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.396 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.396 * [taylor]: Taking taylor expansion of 2 in y 1.396 * [taylor]: Taking taylor expansion of y in y 1.404 * [taylor]: Taking taylor expansion of 0 in y 1.406 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.406 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.406 * [taylor]: Taking taylor expansion of x in y 1.406 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.406 * [taylor]: Taking taylor expansion of 2 in y 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.407 * [taylor]: Taking taylor expansion of y in y 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.410 * [taylor]: Taking taylor expansion of 2 in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.410 * [taylor]: Taking taylor expansion of y in x 1.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 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 (* 2 (/ 1 (pow y 2))) in x 1.413 * [taylor]: Taking taylor expansion of 2 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 1 in y 1.415 * [taylor]: Taking taylor expansion of 0 in y 1.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.417 * [taylor]: Taking taylor expansion of y in y 1.421 * [taylor]: Taking taylor expansion of 0 in y 1.422 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.422 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.422 * [taylor]: Taking taylor expansion of x in y 1.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.422 * [taylor]: Taking taylor expansion of 2 in y 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.422 * [taylor]: Taking taylor expansion of y in y 1.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 1.426 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.426 * [taylor]: Taking taylor expansion of 2 in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.426 * [taylor]: Taking taylor expansion of y in x 1.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.429 * [taylor]: Taking taylor expansion of 2 in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.429 * [taylor]: Taking taylor expansion of y in x 1.431 * [taylor]: Taking taylor expansion of 1 in y 1.431 * [taylor]: Taking taylor expansion of 0 in y 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.433 * [taylor]: Taking taylor expansion of y in y 1.437 * [taylor]: Taking taylor expansion of 0 in y 1.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.438 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.438 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.438 * [taylor]: Taking taylor expansion of x in y 1.438 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.438 * [taylor]: Taking taylor expansion of 2 in y 1.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.438 * [taylor]: Taking taylor expansion of y in y 1.439 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.439 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.439 * [taylor]: Taking taylor expansion of 2 in x 1.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.439 * [taylor]: Taking taylor expansion of y in x 1.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.440 * [taylor]: Taking taylor expansion of 2 in x 1.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.440 * [taylor]: Taking taylor expansion of y in x 1.441 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.441 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.441 * [taylor]: Taking taylor expansion of 2 in y 1.442 * [taylor]: Taking taylor expansion of y in y 1.442 * [taylor]: Taking taylor expansion of 0 in y 1.445 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.445 * [taylor]: Taking taylor expansion of 1/2 in y 1.445 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.445 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.445 * [taylor]: Taking taylor expansion of 2 in y 1.446 * [taylor]: Taking taylor expansion of y in y 1.459 * [taylor]: Taking taylor expansion of 0 in y 1.462 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.462 * [taylor]: Taking taylor expansion of x in y 1.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.462 * [taylor]: Taking taylor expansion of 2 in y 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.466 * [taylor]: Taking taylor expansion of 2 in x 1.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.466 * [taylor]: Taking taylor expansion of y in x 1.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.468 * [taylor]: Taking taylor expansion of 2 in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.468 * [taylor]: Taking taylor expansion of y in x 1.470 * [taylor]: Taking taylor expansion of 1 in y 1.470 * [taylor]: Taking taylor expansion of 0 in y 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.473 * [taylor]: Taking taylor expansion of y in y 1.476 * [taylor]: Taking taylor expansion of 0 in y 1.477 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.477 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.477 * [taylor]: Taking taylor expansion of x in y 1.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.478 * [taylor]: Taking taylor expansion of 2 in y 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.478 * [taylor]: Taking taylor expansion of y in y 1.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.481 * [taylor]: Taking taylor expansion of 2 in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.482 * [taylor]: Taking taylor expansion of y in x 1.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 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 1.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.484 * [taylor]: Taking taylor expansion of 2 in x 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.484 * [taylor]: Taking taylor expansion of y in x 1.486 * [taylor]: Taking taylor expansion of 1 in y 1.486 * [taylor]: Taking taylor expansion of 0 in y 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.489 * [taylor]: Taking taylor expansion of y in y 1.493 * [taylor]: Taking taylor expansion of 0 in y 1.494 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.494 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.494 * [taylor]: Taking taylor expansion of x in y 1.494 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.495 * [taylor]: Taking taylor expansion of 2 in y 1.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.495 * [taylor]: Taking taylor expansion of y in y 1.495 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.495 * [taylor]: Taking taylor expansion of 2 in x 1.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.495 * [taylor]: Taking taylor expansion of y in x 1.495 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.495 * [taylor]: Taking taylor expansion of 2 in x 1.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.495 * [taylor]: Taking taylor expansion of y in x 1.495 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.495 * [taylor]: Taking taylor expansion of 2 in y 1.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.495 * [taylor]: Taking taylor expansion of y in y 1.496 * [taylor]: Taking taylor expansion of 0 in y 1.497 * [taylor]: Taking taylor expansion of 1 in y 1.500 * [taylor]: Taking taylor expansion of 0 in y 1.503 * [taylor]: Taking taylor expansion of 0 in y 1.504 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.504 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.504 * [taylor]: Taking taylor expansion of x in y 1.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.504 * [taylor]: Taking taylor expansion of 2 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 1.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.505 * [taylor]: Taking taylor expansion of 2 in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.506 * [taylor]: Taking taylor expansion of 2 in x 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.506 * [taylor]: Taking taylor expansion of y in x 1.507 * [taylor]: Taking taylor expansion of 1 in y 1.508 * [taylor]: Taking taylor expansion of 0 in y 1.509 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.509 * [taylor]: Taking taylor expansion of 2 in y 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.509 * [taylor]: Taking taylor expansion of y in y 1.511 * [taylor]: Taking taylor expansion of 0 in y 1.515 * [taylor]: Taking taylor expansion of 0 in y 1.517 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.517 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.517 * [taylor]: Taking taylor expansion of x in y 1.517 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.517 * [taylor]: Taking taylor expansion of 2 in y 1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.517 * [taylor]: Taking taylor expansion of y in y 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.518 * [taylor]: Taking taylor expansion of 2 in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.519 * [taylor]: Taking taylor expansion of y in x 1.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.519 * [taylor]: Taking taylor expansion of 2 in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.519 * [taylor]: Taking taylor expansion of y in x 1.520 * [taylor]: Taking taylor expansion of 1 in y 1.521 * [taylor]: Taking taylor expansion of 0 in y 1.522 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.522 * [taylor]: Taking taylor expansion of 2 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 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.528 * [taylor]: Taking taylor expansion of 0 in y 1.530 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.530 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 1.531 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.531 * [taylor]: Taking taylor expansion of 3 in x 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.531 * [taylor]: Taking taylor expansion of y in x 1.531 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.531 * [taylor]: Taking taylor expansion of x in y 1.531 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.531 * [taylor]: Taking taylor expansion of 3 in y 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.531 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.531 * [taylor]: Taking taylor expansion of x in y 1.531 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.531 * [taylor]: Taking taylor expansion of 3 in y 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of 0 in x 1.532 * [taylor]: Taking taylor expansion of 3 in x 1.534 * [taylor]: Taking taylor expansion of 0 in x 1.536 * [taylor]: Taking taylor expansion of 0 in x 1.537 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.538 * [taylor]: Taking taylor expansion of 3 in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.538 * [taylor]: Taking taylor expansion of y in x 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.538 * [taylor]: Taking taylor expansion of x in y 1.538 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.538 * [taylor]: Taking taylor expansion of 3 in y 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.538 * [taylor]: Taking taylor expansion of y in y 1.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.539 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.539 * [taylor]: Taking taylor expansion of x 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 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.540 * [taylor]: Taking taylor expansion of 3 in x 1.546 * [taylor]: Taking taylor expansion of 0 in x 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of 0 in x 1.555 * [taylor]: Taking taylor expansion of 0 in x 1.557 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.557 * [taylor]: Taking taylor expansion of 3 in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.557 * [taylor]: Taking taylor expansion of x in y 1.557 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.557 * [taylor]: Taking taylor expansion of 3 in y 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.558 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.558 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.558 * [taylor]: Taking taylor expansion of 3 in y 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.559 * [taylor]: Taking taylor expansion of 3 in x 1.561 * [taylor]: Taking taylor expansion of 0 in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of 0 in x 1.568 * [taylor]: Taking taylor expansion of 0 in x 1.570 * * * [progress]: simplifying candidates 1.571 * [simplify]: Simplifying using # : (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)))) (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)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ (* 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)))) (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ 1 1) (+ (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (log (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (exp (* (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 (+ (+ (* 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))))) (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (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 (+ (+ (* 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))))) (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (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)) (* (+ (* 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))))) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (+ (* x x) (* y y)) (* y y)))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (* (sqrt (- (+ (* x x) (* y y)) (* y y))) (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)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (* (sqrt (- (+ (* x x) (* y y)) (* y y))) (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)))) (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 (* (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)))))) (* (sqrt (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 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* 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 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 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(+ (* x x) (* y y)) (* y y)))))) (cbrt (+ (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))))) (cbrt (+ (* y y) (* (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))))) (+ (* y y) (* (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)))))) (sqrt (+ (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (+ (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (+ (pow (* y y) 3) (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3)) (+ (* (* 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 (+ (+ (* x x) (* y y)) (* y y))))) (* (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))))) (- (* (* 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 (+ (+ (* x x) (* y y)) (* y y)))))) (- (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.580 * * [simplify]: iteration 0 : 246 enodes (cost 1191 ) 1.586 * * [simplify]: iteration 1 : 1187 enodes (cost 1037 ) 1.616 * * [simplify]: iteration 2 : 5002 enodes (cost 987 ) 1.621 * [simplify]: Simplified to: (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 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x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (exp (+ (pow y 2) (+ (+ (* x x) (* y y)) (* y y)))) (log (+ (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (exp (+ (pow y 2) (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (+ (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (cbrt (+ (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))))) (cbrt (+ (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (pow (+ (+ (pow y 2) (pow x 2)) (* y (+ y y))) 3) (sqrt (+ (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (sqrt (+ (* y y) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))))) (+ (* (pow (+ (+ (* x x) (* y y)) (* y y)) 3/2) (pow (+ (+ (* x x) (* y y)) (* y y)) 3/2)) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (pow y 4)) (* (+ (+ (pow y 2) (pow x 2)) (* y (+ y y))) (- (+ (* x x) (* y y)))) (- (+ (* x x) (* y y))) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.621 * * * [progress]: adding candidates to table 1.824 * * [progress]: iteration 4 / 4 1.824 * * * [progress]: picking best candidate 1.840 * * * * [pick]: Picked # 1.841 * * * [progress]: localizing error 1.850 * * * [progress]: generating rewritten candidates 1.850 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.904 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.955 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.167 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.217 * * * [progress]: generating series expansions 2.217 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.217 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 2.217 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 2.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 2.217 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.217 * [taylor]: Taking taylor expansion of x in y 2.217 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.217 * [taylor]: Taking taylor expansion of 3 in y 2.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.217 * [taylor]: Taking taylor expansion of y in y 2.218 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 2.218 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.218 * [taylor]: Taking taylor expansion of x in x 2.218 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.218 * [taylor]: Taking taylor expansion of 3 in x 2.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.218 * [taylor]: Taking taylor expansion of y in x 2.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 2.219 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.220 * [taylor]: Taking taylor expansion of 3 in x 2.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.220 * [taylor]: Taking taylor expansion of y in x 2.221 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 2.221 * [taylor]: Taking taylor expansion of (sqrt 3) in y 2.221 * [taylor]: Taking taylor expansion of 3 in y 2.221 * [taylor]: Taking taylor expansion of y in y 2.222 * [taylor]: Taking taylor expansion of 0 in y 2.225 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 2.225 * [taylor]: Taking taylor expansion of 1/2 in y 2.225 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 2.225 * [taylor]: Taking taylor expansion of (sqrt 3) in y 2.225 * [taylor]: Taking taylor expansion of 3 in y 2.226 * [taylor]: Taking taylor expansion of y in y 2.233 * [taylor]: Taking taylor expansion of 0 in y 2.236 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 2.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 2.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.236 * [taylor]: Taking taylor expansion of x in y 2.236 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.236 * [taylor]: Taking taylor expansion of 3 in y 2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.236 * [taylor]: Taking taylor expansion of y in y 2.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 2.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.240 * [taylor]: Taking taylor expansion of 3 in x 2.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.240 * [taylor]: Taking taylor expansion of y in x 2.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 2.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.242 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.242 * [taylor]: Taking taylor expansion of 3 in x 2.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.242 * [taylor]: Taking taylor expansion of y in x 2.244 * [taylor]: Taking taylor expansion of 1 in y 2.244 * [taylor]: Taking taylor expansion of 0 in y 2.246 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 2.246 * [taylor]: Taking taylor expansion of 3/2 in y 2.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.246 * [taylor]: Taking taylor expansion of y in y 2.249 * [taylor]: Taking taylor expansion of 0 in y 2.251 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 2.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 2.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.251 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.251 * [taylor]: Taking taylor expansion of x in y 2.251 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.251 * [taylor]: Taking taylor expansion of 3 in y 2.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.251 * [taylor]: Taking taylor expansion of y in y 2.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 2.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.254 * [taylor]: Taking taylor expansion of x in x 2.255 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.255 * [taylor]: Taking taylor expansion of 3 in x 2.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.255 * [taylor]: Taking taylor expansion of y in x 2.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 2.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.257 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.257 * [taylor]: Taking taylor expansion of 3 in x 2.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.257 * [taylor]: Taking taylor expansion of y in x 2.259 * [taylor]: Taking taylor expansion of 1 in y 2.259 * [taylor]: Taking taylor expansion of 0 in y 2.261 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 2.261 * [taylor]: Taking taylor expansion of 3/2 in y 2.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.261 * [taylor]: Taking taylor expansion of y in y 2.264 * [taylor]: Taking taylor expansion of 0 in y 2.266 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.266 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 2.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 2.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 (* 3 (pow y 2)) in y 2.266 * [taylor]: Taking taylor expansion of 3 in y 2.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.266 * [taylor]: Taking taylor expansion of y in y 2.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 2.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.267 * [taylor]: Taking taylor expansion of x in x 2.267 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.267 * [taylor]: Taking taylor expansion of 3 in x 2.267 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.267 * [taylor]: Taking taylor expansion of y in x 2.268 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 2.268 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.268 * [taylor]: Taking taylor expansion of x in x 2.268 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.268 * [taylor]: Taking taylor expansion of 3 in x 2.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.268 * [taylor]: Taking taylor expansion of y in x 2.269 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 2.269 * [taylor]: Taking taylor expansion of (sqrt 3) in y 2.269 * [taylor]: Taking taylor expansion of 3 in y 2.269 * [taylor]: Taking taylor expansion of y in y 2.270 * [taylor]: Taking taylor expansion of 0 in y 2.273 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 2.273 * [taylor]: Taking taylor expansion of 1/2 in y 2.273 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 2.273 * [taylor]: Taking taylor expansion of (sqrt 3) in y 2.273 * [taylor]: Taking taylor expansion of 3 in y 2.274 * [taylor]: Taking taylor expansion of y in y 2.281 * [taylor]: Taking taylor expansion of 0 in y 2.284 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 2.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 2.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.284 * [taylor]: Taking taylor expansion of x in y 2.284 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.284 * [taylor]: Taking taylor expansion of 3 in y 2.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.284 * [taylor]: Taking taylor expansion of y in y 2.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 2.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.287 * [taylor]: Taking taylor expansion of x in x 2.288 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.288 * [taylor]: Taking taylor expansion of 3 in x 2.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.288 * [taylor]: Taking taylor expansion of y in x 2.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 2.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.295 * [taylor]: Taking taylor expansion of x in x 2.296 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.296 * [taylor]: Taking taylor expansion of 3 in x 2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.296 * [taylor]: Taking taylor expansion of y in x 2.298 * [taylor]: Taking taylor expansion of 1 in y 2.298 * [taylor]: Taking taylor expansion of 0 in y 2.300 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 2.300 * [taylor]: Taking taylor expansion of 3/2 in y 2.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.300 * [taylor]: Taking taylor expansion of y in y 2.304 * [taylor]: Taking taylor expansion of 0 in y 2.305 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 2.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 2.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.305 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.305 * [taylor]: Taking taylor expansion of x in y 2.305 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.305 * [taylor]: Taking taylor expansion of 3 in y 2.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.305 * [taylor]: Taking taylor expansion of y in y 2.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 2.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.308 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.309 * [taylor]: Taking taylor expansion of 3 in x 2.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.309 * [taylor]: Taking taylor expansion of y in x 2.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 2.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.311 * [taylor]: Taking taylor expansion of x in x 2.311 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.311 * [taylor]: Taking taylor expansion of 3 in x 2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.311 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.311 * [taylor]: Taking taylor expansion of y in x 2.313 * [taylor]: Taking taylor expansion of 1 in y 2.313 * [taylor]: Taking taylor expansion of 0 in y 2.315 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 2.315 * [taylor]: Taking taylor expansion of 3/2 in y 2.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.315 * [taylor]: Taking taylor expansion of y in y 2.319 * [taylor]: Taking taylor expansion of 0 in y 2.320 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.321 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 2.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.321 * [taylor]: Taking taylor expansion of x in y 2.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.321 * [taylor]: Taking taylor expansion of 3 in y 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.321 * [taylor]: Taking taylor expansion of y in y 2.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.321 * [taylor]: Taking taylor expansion of 3 in x 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.321 * [taylor]: Taking taylor expansion of y in x 2.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.321 * [taylor]: Taking taylor expansion of 3 in x 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.321 * [taylor]: Taking taylor expansion of y in x 2.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.321 * [taylor]: Taking taylor expansion of 3 in y 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.321 * [taylor]: Taking taylor expansion of y in y 2.322 * [taylor]: Taking taylor expansion of 0 in y 2.323 * [taylor]: Taking taylor expansion of 1 in y 2.326 * [taylor]: Taking taylor expansion of 0 in y 2.329 * [taylor]: Taking taylor expansion of 0 in y 2.329 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.330 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.330 * [taylor]: Taking taylor expansion of x in y 2.330 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.330 * [taylor]: Taking taylor expansion of 3 in y 2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.330 * [taylor]: Taking taylor expansion of y in y 2.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.330 * [taylor]: Taking taylor expansion of x in x 2.331 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.331 * [taylor]: Taking taylor expansion of 3 in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.331 * [taylor]: Taking taylor expansion of y in x 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.331 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.332 * [taylor]: Taking taylor expansion of 3 in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.332 * [taylor]: Taking taylor expansion of y in x 2.332 * [taylor]: Taking taylor expansion of 1 in y 2.333 * [taylor]: Taking taylor expansion of 0 in y 2.334 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.334 * [taylor]: Taking taylor expansion of 3 in y 2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.334 * [taylor]: Taking taylor expansion of y in y 2.337 * [taylor]: Taking taylor expansion of 0 in y 2.340 * [taylor]: Taking taylor expansion of 0 in y 2.342 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.343 * [taylor]: Taking taylor expansion of x in y 2.343 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.343 * [taylor]: Taking taylor expansion of 3 in y 2.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.343 * [taylor]: Taking taylor expansion of y in y 2.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.343 * [taylor]: Taking taylor expansion of x in x 2.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.344 * [taylor]: Taking taylor expansion of 3 in x 2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.344 * [taylor]: Taking taylor expansion of y in x 2.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.344 * [taylor]: Taking taylor expansion of x in x 2.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.344 * [taylor]: Taking taylor expansion of 3 in x 2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.344 * [taylor]: Taking taylor expansion of y in x 2.345 * [taylor]: Taking taylor expansion of 1 in y 2.346 * [taylor]: Taking taylor expansion of 0 in y 2.347 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.347 * [taylor]: Taking taylor expansion of 3 in y 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.347 * [taylor]: Taking taylor expansion of y in y 2.350 * [taylor]: Taking taylor expansion of 0 in y 2.353 * [taylor]: Taking taylor expansion of 0 in y 2.355 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.355 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 2.355 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.355 * [taylor]: Taking taylor expansion of x in y 2.355 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.355 * [taylor]: Taking taylor expansion of 3 in y 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.355 * [taylor]: Taking taylor expansion of y in y 2.355 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.355 * [taylor]: Taking taylor expansion of 3 in x 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.355 * [taylor]: Taking taylor expansion of y in x 2.355 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.355 * [taylor]: Taking taylor expansion of 3 in x 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.355 * [taylor]: Taking taylor expansion of y in x 2.356 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.356 * [taylor]: Taking taylor expansion of 3 in y 2.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.356 * [taylor]: Taking taylor expansion of y in y 2.356 * [taylor]: Taking taylor expansion of 0 in y 2.357 * [taylor]: Taking taylor expansion of 1 in y 2.360 * [taylor]: Taking taylor expansion of 0 in y 2.363 * [taylor]: Taking taylor expansion of 0 in y 2.363 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.363 * [taylor]: Taking taylor expansion of x in y 2.364 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.364 * [taylor]: Taking taylor expansion of 3 in y 2.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.364 * [taylor]: Taking taylor expansion of y in y 2.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.364 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.365 * [taylor]: Taking taylor expansion of 3 in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.365 * [taylor]: Taking taylor expansion of y in x 2.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.365 * [taylor]: Taking taylor expansion of 3 in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.365 * [taylor]: Taking taylor expansion of y in x 2.366 * [taylor]: Taking taylor expansion of 1 in y 2.367 * [taylor]: Taking taylor expansion of 0 in y 2.368 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.368 * [taylor]: Taking taylor expansion of 3 in y 2.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.368 * [taylor]: Taking taylor expansion of y in y 2.371 * [taylor]: Taking taylor expansion of 0 in y 2.379 * [taylor]: Taking taylor expansion of 0 in y 2.381 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.381 * [taylor]: Taking taylor expansion of x in y 2.381 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.381 * [taylor]: Taking taylor expansion of 3 in y 2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.381 * [taylor]: Taking taylor expansion of y in y 2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.382 * [taylor]: Taking taylor expansion of x in x 2.382 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.382 * [taylor]: Taking taylor expansion of 3 in x 2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.382 * [taylor]: Taking taylor expansion of y in x 2.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.382 * [taylor]: Taking taylor expansion of x in x 2.383 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.383 * [taylor]: Taking taylor expansion of 3 in x 2.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.383 * [taylor]: Taking taylor expansion of y in x 2.383 * [taylor]: Taking taylor expansion of 1 in y 2.384 * [taylor]: Taking taylor expansion of 0 in y 2.385 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.385 * [taylor]: Taking taylor expansion of 3 in y 2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.385 * [taylor]: Taking taylor expansion of y in y 2.388 * [taylor]: Taking taylor expansion of 0 in y 2.391 * [taylor]: Taking taylor expansion of 0 in y 2.393 * * * [progress]: simplifying candidates 2.395 * [simplify]: Simplifying using # : (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)) (* 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 (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y))))) (sqrt (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) 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y)) (* y y))) (* (pow (exp (* y y)) 3) (exp (* x x))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (+ (+ (* x x) (* y y)) (* y (+ y y))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (+ (pow x 2) (* y (+ y y))) (+ (* x x) (* y y)))) (* (* (+ (* x x) (* y y)) 1) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y)) (* y (+ y y)) (* (sqrt 3) y) x (* -1 x) (* (sqrt 3) y) x (* -1 x) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 2.438 * * * [progress]: adding candidates to table 2.634 * [progress]: [Phase 3 of 3] Extracting. 2.634 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.639 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 2.639 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # #) 2.668 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # # #) 2.701 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # # # # # #) 2.735 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # #) 2.775 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.809 * * * [regime]: Found split indices: #