9.103 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.024 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.026 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.027 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.029 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.030 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.032 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.035 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.037 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.040 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.043 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.050 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.080 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.305 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.306 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.309 * * [progress]: iteration 1 / 4 0.309 * * * [progress]: picking best candidate 0.310 * * * * [pick]: Picked # 0.310 * * * [progress]: localizing error 0.316 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.325 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.329 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.335 * * * [progress]: generating series expansions 0.335 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.335 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of 3 in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of 3 in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of 3 in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of 3 in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 1 in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.344 * [taylor]: Taking taylor expansion of 3 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of 3 in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.346 * [taylor]: Taking taylor expansion of 3 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of 1 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of 3 in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of 3 in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.358 * [taylor]: Taking taylor expansion of 3 in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.359 * [taylor]: Taking taylor expansion of 3 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of 1 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.362 * [taylor]: Taking taylor expansion of 3 in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.373 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.373 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of 1 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of 1 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of 1 in y 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.399 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.399 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.400 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.400 * [taylor]: Taking taylor expansion of 2 in y 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.400 * [taylor]: Taking taylor expansion of 2 in x 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.400 * [taylor]: Taking taylor expansion of 2 in x 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.400 * [taylor]: Taking taylor expansion of 2 in y 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of 1 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.408 * [taylor]: Taking taylor expansion of 2 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of 2 in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 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 0.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.410 * [taylor]: Taking taylor expansion of 2 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.413 * [taylor]: Taking taylor expansion of 2 in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.421 * [taylor]: Taking taylor expansion of 2 in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.422 * [taylor]: Taking taylor expansion of 2 in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.423 * [taylor]: Taking taylor expansion of 2 in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 1 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.425 * [taylor]: Taking taylor expansion of 2 in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.433 * * * [progress]: simplifying candidates 0.434 * [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))) (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)) (* (* (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)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.438 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.443 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.461 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 0.556 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 0.558 * [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 (+ (* 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)) (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)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 0.558 * * * [progress]: adding candidates to table 0.650 * * [progress]: iteration 2 / 4 0.650 * * * [progress]: picking best candidate 0.664 * * * * [pick]: Picked # 0.664 * * * [progress]: localizing error 0.672 * * * [progress]: generating rewritten candidates 0.672 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.679 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.687 * * * [progress]: generating series expansions 0.687 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.688 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.688 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.688 * [taylor]: Taking taylor expansion of 3 in y 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of 3 in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of 3 in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.688 * [taylor]: Taking taylor expansion of 3 in y 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.691 * [taylor]: Taking taylor expansion of 1 in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.697 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.697 * [taylor]: Taking taylor expansion of 3 in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.698 * [taylor]: Taking taylor expansion of 3 in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.698 * [taylor]: Taking taylor expansion of y in x 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.699 * [taylor]: Taking taylor expansion of 3 in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of 1 in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.701 * [taylor]: Taking taylor expansion of 3 in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.710 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.710 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.710 * [taylor]: Taking taylor expansion of x in y 0.710 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.710 * [taylor]: Taking taylor expansion of 3 in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.711 * [taylor]: Taking taylor expansion of 3 in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.712 * [taylor]: Taking taylor expansion of 3 in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of 1 in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.715 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.715 * [taylor]: Taking taylor expansion of 3 in y 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [taylor]: Taking taylor expansion of 0 in y 0.723 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.723 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [taylor]: Taking taylor expansion of 1 in y 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of 1 in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of 1 in y 0.742 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.743 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of 0 in y 0.748 * [taylor]: Taking taylor expansion of 0 in y 0.749 * * * [progress]: simplifying candidates 0.750 * [simplify]: Simplifying using # : (* (* (exp (* x x)) (exp (* y y))) (exp (* y (+ y y)))) (* (exp (+ (* x x) (* y y))) (exp (* y (+ y y)))) (log (+ (+ (* x x) (* y y)) (* y (+ y y)))) (exp (+ (+ (* x x) (* y y)) (* y (+ y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y (+ y y))))) (cbrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (* (* (+ (+ (* x x) (* y y)) (* y (+ y y))) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* y y) (- (* y y) (* y y)))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (* y (+ (pow y 3) (pow y 3))))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* y y) (- (* y y) (* y y)))) (+ (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- y y)) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (* y (- (* y y) (* y y))))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- y y)) (+ (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* y y) (- (* y y) (* y y)))) (* (- (* x x) (* y y)) (* y (+ (pow y 3) (pow y 3))))) (* (- (* x x) (* y y)) (+ (* y y) (- (* y y) (* y y)))) (+ (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- y y)) (* (- (* x x) (* y y)) (* y (- (* y y) (* y y))))) (* (- (* x x) (* y y)) (- y y)) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y (+ y y)) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y (+ y y)) (* y (+ y y))) (* (+ (* x x) (* y y)) (* y (+ y y))))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y (+ y y)) (* y (+ y y)))) (- (+ (* x x) (* y y)) (* y (+ y y))) (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y 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) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.754 * * [simplify]: iteration 0 : 276 enodes (cost 338 ) 0.761 * * [simplify]: iteration 1 : 1408 enodes (cost 275 ) 0.801 * * [simplify]: iteration 2 : 5001 enodes (cost 242 ) 0.803 * [simplify]: Simplified to: (exp (+ (pow x 2) (* (* 3 y) y))) (exp (+ (pow x 2) (* (* 3 y) y))) (log (+ (+ (* x x) (* y y)) (* y (+ y y)))) (exp (+ (pow x 2) (* (* 3 y) y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y (+ y y))))) (cbrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (* (* (* 2 (pow y 3)) y) (+ (* (pow y 2) (- (pow y 2) (pow x 2))) (* (* x x) (* x x)))) (* (+ (pow (* x x) 3) (pow (* y y) 3)) (pow y 2))) (* (* (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) y) y) 0 0 (+ (* (* (- (* x x) (* y y)) y) (* 2 (pow y 3))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (pow y 2))) (* (* (pow y 2) (+ x y)) (- x y)) 0 0 (+ (pow (+ (* x x) (* y y)) 3) (pow (* y (+ y y)) 3)) (+ (* (* y (+ y y)) (- (* y (+ y y)) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (* (+ (* y (- y (+ y y))) (pow x 2)) (+ (pow x 2) (* y (+ y (+ y y))))) (- (* x x) (* y y)) (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2)) (* (* 3 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)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.803 * * * [progress]: adding candidates to table 0.885 * * [progress]: iteration 3 / 4 0.885 * * * [progress]: picking best candidate 0.895 * * * * [pick]: Picked # 0.895 * * * [progress]: localizing error 0.901 * * * [progress]: generating rewritten candidates 0.901 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.906 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.910 * * * [progress]: generating series expansions 0.910 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.910 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.910 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.910 * [taylor]: Taking taylor expansion of 3 in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.910 * [taylor]: Taking taylor expansion of 3 in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.918 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.918 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of 3 in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of 3 in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.926 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.926 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.926 * [taylor]: Taking taylor expansion of 3 in y 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.926 * [taylor]: Taking taylor expansion of 3 in y 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.934 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.934 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (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 (* 3 (pow y 2)) in y 0.934 * [taylor]: Taking taylor expansion of 3 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) (* 3 (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 (* 3 (pow y 2)) in x 0.934 * [taylor]: Taking taylor expansion of 3 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) (* 3 (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 (* 3 (pow y 2)) in x 0.934 * [taylor]: Taking taylor expansion of 3 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 (* 3 (pow y 2)) in y 0.935 * [taylor]: Taking taylor expansion of 3 in y 0.935 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [taylor]: Taking taylor expansion of 1 in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.948 * [taylor]: Taking taylor expansion of 3 in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.949 * [taylor]: Taking taylor expansion of 3 in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.950 * [taylor]: Taking taylor expansion of 3 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 in y 0.951 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.952 * [taylor]: Taking taylor expansion of 3 in y 0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.952 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.960 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.960 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.960 * [taylor]: Taking taylor expansion of x in y 0.960 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.960 * [taylor]: Taking taylor expansion of 3 in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.962 * [taylor]: Taking taylor expansion of 3 in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.962 * [taylor]: Taking taylor expansion of 3 in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of 1 in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.965 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.965 * [taylor]: Taking taylor expansion of 3 in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.973 * * * [progress]: simplifying candidates 0.973 * [simplify]: Simplifying using # : (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (exp (* x x)) (exp (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (* (* (+ (* x x) (* (* 3 y) y)) (+ (* x x) (* (* 3 y) y))) (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (pow (* x x) 3) (pow (* (* 3 y) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* (* 3 y) y)))) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* (* 3 y) y))) (- (* x x) (* (* 3 y) y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.977 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.982 * * [simplify]: iteration 1 : 862 enodes (cost 143 ) 1.003 * * [simplify]: iteration 2 : 4332 enodes (cost 138 ) 1.109 * * [simplify]: iteration 3 : 5002 enodes (cost 137 ) 1.110 * [simplify]: Simplified to: (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) 3) (* 3 y) (pow y 2) (exp (+ (* x x) (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (pow (* x x) 3) (pow (* (* 3 y) y) 3)) (+ (* (pow x 2) (- (* x x) (* (* 3 y) y))) (* 9 (pow y 4))) (+ (- (* (* 9 (pow y 2)) (pow y 2))) (pow x 4)) (- (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.110 * * * [progress]: adding candidates to table 1.168 * * [progress]: iteration 4 / 4 1.168 * * * [progress]: picking best candidate 1.175 * * * * [pick]: Picked # 1.175 * * * [progress]: localizing error 1.184 * * * [progress]: generating rewritten candidates 1.184 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.189 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.194 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.212 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.228 * * * [progress]: generating series expansions 1.228 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.229 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.229 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.229 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.229 * [taylor]: Taking taylor expansion of x in y 1.229 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.229 * [taylor]: Taking taylor expansion of 2 in y 1.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.229 * [taylor]: Taking taylor expansion of y in y 1.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.230 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.230 * [taylor]: Taking taylor expansion of 2 in x 1.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.230 * [taylor]: Taking taylor expansion of y in x 1.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.231 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.231 * [taylor]: Taking taylor expansion of 2 in x 1.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.231 * [taylor]: Taking taylor expansion of y in x 1.232 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.232 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.232 * [taylor]: Taking taylor expansion of 2 in y 1.233 * [taylor]: Taking taylor expansion of y in y 1.233 * [taylor]: Taking taylor expansion of 0 in y 1.237 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.237 * [taylor]: Taking taylor expansion of 1/2 in y 1.237 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.237 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.237 * [taylor]: Taking taylor expansion of 2 in y 1.237 * [taylor]: Taking taylor expansion of y in y 1.245 * [taylor]: Taking taylor expansion of 0 in y 1.247 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.247 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.247 * [taylor]: Taking taylor expansion of x in y 1.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.247 * [taylor]: Taking taylor expansion of 2 in y 1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.247 * [taylor]: Taking taylor expansion of y in y 1.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.251 * [taylor]: Taking taylor expansion of 2 in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.251 * [taylor]: Taking taylor expansion of y in x 1.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.253 * [taylor]: Taking taylor expansion of 2 in x 1.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.253 * [taylor]: Taking taylor expansion of y in x 1.255 * [taylor]: Taking taylor expansion of 1 in y 1.255 * [taylor]: Taking taylor expansion of 0 in y 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.257 * [taylor]: Taking taylor expansion of y in y 1.261 * [taylor]: Taking taylor expansion of 0 in y 1.262 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.262 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.262 * [taylor]: Taking taylor expansion of 2 in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.266 * [taylor]: Taking taylor expansion of 2 in x 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.266 * [taylor]: Taking taylor expansion of y in x 1.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.269 * [taylor]: Taking taylor expansion of 2 in x 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.269 * [taylor]: Taking taylor expansion of y in x 1.271 * [taylor]: Taking taylor expansion of 1 in y 1.271 * [taylor]: Taking taylor expansion of 0 in y 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.276 * [taylor]: Taking taylor expansion of 0 in y 1.277 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.278 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.278 * [taylor]: Taking taylor expansion of x in y 1.278 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.278 * [taylor]: Taking taylor expansion of 2 in y 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.278 * [taylor]: Taking taylor expansion of y in y 1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.278 * [taylor]: Taking taylor expansion of 2 in x 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.278 * [taylor]: Taking taylor expansion of y in x 1.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.279 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.279 * [taylor]: Taking taylor expansion of 2 in x 1.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.279 * [taylor]: Taking taylor expansion of y in x 1.280 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.280 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.280 * [taylor]: Taking taylor expansion of 2 in y 1.281 * [taylor]: Taking taylor expansion of y in y 1.281 * [taylor]: Taking taylor expansion of 0 in y 1.285 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.285 * [taylor]: Taking taylor expansion of 1/2 in y 1.285 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.285 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.285 * [taylor]: Taking taylor expansion of 2 in y 1.285 * [taylor]: Taking taylor expansion of y in y 1.293 * [taylor]: Taking taylor expansion of 0 in y 1.300 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.300 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.300 * [taylor]: Taking taylor expansion of x in y 1.301 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.301 * [taylor]: Taking taylor expansion of 2 in y 1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.301 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.304 * [taylor]: Taking taylor expansion of 2 in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.304 * [taylor]: Taking taylor expansion of y in x 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.307 * [taylor]: Taking taylor expansion of 2 in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.307 * [taylor]: Taking taylor expansion of y in x 1.310 * [taylor]: Taking taylor expansion of 1 in y 1.310 * [taylor]: Taking taylor expansion of 0 in y 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.312 * [taylor]: Taking taylor expansion of y in y 1.316 * [taylor]: Taking taylor expansion of 0 in y 1.317 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.317 * [taylor]: Taking taylor expansion of x in y 1.317 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.317 * [taylor]: Taking taylor expansion of 2 in y 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.317 * [taylor]: Taking taylor expansion of y in y 1.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.321 * [taylor]: Taking taylor expansion of 2 in x 1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.321 * [taylor]: Taking taylor expansion of y in x 1.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.323 * [taylor]: Taking taylor expansion of 2 in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.323 * [taylor]: Taking taylor expansion of y in x 1.325 * [taylor]: Taking taylor expansion of 1 in y 1.325 * [taylor]: Taking taylor expansion of 0 in y 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.328 * [taylor]: Taking taylor expansion of y in y 1.331 * [taylor]: Taking taylor expansion of 0 in y 1.332 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.332 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.332 * [taylor]: Taking taylor expansion of x in y 1.332 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.332 * [taylor]: Taking taylor expansion of 2 in y 1.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.332 * [taylor]: Taking taylor expansion of y in y 1.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.333 * [taylor]: Taking taylor expansion of 2 in x 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.333 * [taylor]: Taking taylor expansion of y in x 1.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.333 * [taylor]: Taking taylor expansion of 2 in x 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.333 * [taylor]: Taking taylor expansion of y in x 1.333 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.333 * [taylor]: Taking taylor expansion of 2 in y 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.334 * [taylor]: Taking taylor expansion of 0 in y 1.335 * [taylor]: Taking taylor expansion of 1 in y 1.337 * [taylor]: Taking taylor expansion of 0 in y 1.340 * [taylor]: Taking taylor expansion of 0 in y 1.341 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.341 * [taylor]: Taking taylor expansion of x in y 1.341 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.341 * [taylor]: Taking taylor expansion of 2 in y 1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.341 * [taylor]: Taking taylor expansion of y in y 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.342 * [taylor]: Taking taylor expansion of 2 in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.342 * [taylor]: Taking taylor expansion of y in x 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.343 * [taylor]: Taking taylor expansion of 2 in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.343 * [taylor]: Taking taylor expansion of y in x 1.343 * [taylor]: Taking taylor expansion of 1 in y 1.344 * [taylor]: Taking taylor expansion of 0 in y 1.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.346 * [taylor]: Taking taylor expansion of 2 in y 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.346 * [taylor]: Taking taylor expansion of y in y 1.348 * [taylor]: Taking taylor expansion of 0 in y 1.352 * [taylor]: Taking taylor expansion of 0 in y 1.354 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.354 * [taylor]: Taking taylor expansion of x in y 1.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.354 * [taylor]: Taking taylor expansion of 2 in y 1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.354 * [taylor]: Taking taylor expansion of y in y 1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.355 * [taylor]: Taking taylor expansion of 2 in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.356 * [taylor]: Taking taylor expansion of y in x 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.356 * [taylor]: Taking taylor expansion of 2 in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.356 * [taylor]: Taking taylor expansion of y in x 1.357 * [taylor]: Taking taylor expansion of 1 in y 1.358 * [taylor]: Taking taylor expansion of 0 in y 1.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.359 * [taylor]: Taking taylor expansion of 2 in y 1.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.359 * [taylor]: Taking taylor expansion of y in y 1.361 * [taylor]: Taking taylor expansion of 0 in y 1.365 * [taylor]: Taking taylor expansion of 0 in y 1.367 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.367 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.367 * [taylor]: Taking taylor expansion of x in y 1.367 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.367 * [taylor]: Taking taylor expansion of 3 in y 1.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.367 * [taylor]: Taking taylor expansion of y in y 1.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.367 * [taylor]: Taking taylor expansion of 3 in x 1.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.367 * [taylor]: Taking taylor expansion of y in x 1.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.368 * [taylor]: Taking taylor expansion of 3 in x 1.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.368 * [taylor]: Taking taylor expansion of y in x 1.368 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.368 * [taylor]: Taking taylor expansion of 3 in y 1.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.368 * [taylor]: Taking taylor expansion of y in y 1.368 * [taylor]: Taking taylor expansion of 0 in y 1.370 * [taylor]: Taking taylor expansion of 1 in y 1.372 * [taylor]: Taking taylor expansion of 0 in y 1.375 * [taylor]: Taking taylor expansion of 0 in y 1.376 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.376 * [taylor]: Taking taylor expansion of x in y 1.376 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.376 * [taylor]: Taking taylor expansion of 3 in y 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.376 * [taylor]: Taking taylor expansion of y in y 1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.377 * [taylor]: Taking taylor expansion of 3 in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.378 * [taylor]: Taking taylor expansion of y in x 1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.378 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.378 * [taylor]: Taking taylor expansion of 3 in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.378 * [taylor]: Taking taylor expansion of y in x 1.379 * [taylor]: Taking taylor expansion of 1 in y 1.380 * [taylor]: Taking taylor expansion of 0 in y 1.381 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.381 * [taylor]: Taking taylor expansion of 3 in y 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.381 * [taylor]: Taking taylor expansion of y in y 1.388 * [taylor]: Taking taylor expansion of 0 in y 1.392 * [taylor]: Taking taylor expansion of 0 in y 1.394 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.394 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.394 * [taylor]: Taking taylor expansion of x in y 1.395 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.395 * [taylor]: Taking taylor expansion of 3 in y 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.395 * [taylor]: Taking taylor expansion of y in y 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.396 * [taylor]: Taking taylor expansion of 3 in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.396 * [taylor]: Taking taylor expansion of y in x 1.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.396 * [taylor]: Taking taylor expansion of 3 in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.396 * [taylor]: Taking taylor expansion of y in x 1.397 * [taylor]: Taking taylor expansion of 1 in y 1.398 * [taylor]: Taking taylor expansion of 0 in y 1.399 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.399 * [taylor]: Taking taylor expansion of 3 in y 1.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.399 * [taylor]: Taking taylor expansion of y in y 1.402 * [taylor]: Taking taylor expansion of 0 in y 1.405 * [taylor]: Taking taylor expansion of 0 in y 1.407 * * * [progress]: simplifying candidates 1.408 * [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 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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 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(+ (* 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))) 1.456 * * * [progress]: adding candidates to table 1.671 * [progress]: [Phase 3 of 3] Extracting. 1.671 * * [regime]: Finding splitpoints for: (# # # # # #) 1.673 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.673 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.693 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.705 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.727 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.748 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.771 * * * [regime]: Found split indices: #