9.808 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.022 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.023 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.024 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.026 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.031 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.034 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.036 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.039 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.045 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.071 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.291 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.292 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.295 * * [progress]: iteration 1 / 4 0.295 * * * [progress]: picking best candidate 0.297 * * * * [pick]: Picked # 0.297 * * * [progress]: localizing error 0.303 * * * [progress]: generating rewritten candidates 0.303 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.363 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.378 * * * [progress]: generating series expansions 0.378 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.378 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 0.378 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of 3 in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.379 * [taylor]: Taking taylor expansion of 3 in x 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 0.379 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.379 * [taylor]: Taking taylor expansion of 3 in x 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of 3 in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of 1 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.387 * [taylor]: Taking taylor expansion of 3 in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.388 * [taylor]: Taking taylor expansion of 3 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2))) in x 0.389 * [taylor]: Taking taylor expansion of 3 in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of 1 in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.392 * [taylor]: Taking taylor expansion of 3 in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (* 3 (/ 1 (pow y 2))) in y 0.400 * [taylor]: Taking taylor expansion of 3 in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.401 * [taylor]: Taking taylor expansion of 3 in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.402 * [taylor]: Taking taylor expansion of 3 in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of 1 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.405 * [taylor]: Taking taylor expansion of 3 in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.415 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.415 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of 2 in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of 2 in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of 2 in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of 2 in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 1 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.424 * [taylor]: Taking taylor expansion of 2 in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of 2 in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of 2 in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of 1 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.428 * [taylor]: Taking taylor expansion of 2 in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.437 * [taylor]: Taking taylor expansion of 2 in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of 2 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of 2 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of 1 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.441 * [taylor]: Taking taylor expansion of 2 in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.449 * * * [progress]: simplifying candidates 0.450 * [simplify]: Simplifying using # : (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.454 * * [simplify]: iteration 0 : 178 enodes (cost 305 ) 0.459 * * [simplify]: iteration 1 : 842 enodes (cost 249 ) 0.476 * * [simplify]: iteration 2 : 4026 enodes (cost 226 ) 0.562 * * [simplify]: iteration 3 : 5001 enodes (cost 221 ) 0.564 * [simplify]: Simplified to: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3)) (fma (fma x x (* y y)) (fma x x (fma y y (* y y))) (pow y 4)) (fma (fma (pow y 2) 3 (pow x 2)) (fma x x (* y y)) 0) (fma x x (* y y)) (fma y y (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (exp (+ (fma x x (* y y)) (pow y 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (fma y (pow y 5) (pow (fma x x (* y y)) 3)) (fma (pow x 2) (fma x x (* y y)) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) 0.564 * * * [progress]: adding candidates to table 0.654 * * [progress]: iteration 2 / 4 0.654 * * * [progress]: picking best candidate 0.663 * * * * [pick]: Picked # 0.663 * * * [progress]: localizing error 0.668 * * * [progress]: generating rewritten candidates 0.668 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.669 * * * [progress]: generating series expansions 0.669 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.669 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.669 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.669 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.669 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.669 * [taylor]: Taking taylor expansion of 3 in x 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.669 * [taylor]: Taking taylor expansion of y in x 0.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.670 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.670 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.670 * [taylor]: Taking taylor expansion of 3 in y 0.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.670 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.670 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.670 * [taylor]: Taking taylor expansion of 3 in y 0.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of 0 in x 0.672 * [taylor]: Taking taylor expansion of 3 in x 0.674 * [taylor]: Taking taylor expansion of 0 in x 0.676 * [taylor]: Taking taylor expansion of 0 in x 0.676 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.676 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.676 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.676 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.676 * [taylor]: Taking taylor expansion of 3 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.677 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.677 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.677 * [taylor]: Taking taylor expansion of 3 in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.678 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.678 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.678 * [taylor]: Taking taylor expansion of 3 in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of 3 in x 0.681 * [taylor]: Taking taylor expansion of 0 in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of 0 in x 0.688 * [taylor]: Taking taylor expansion of 0 in x 0.689 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.689 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.690 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.690 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.690 * [taylor]: Taking taylor expansion of 3 in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.690 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.690 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.690 * [taylor]: Taking taylor expansion of 3 in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.691 * [taylor]: Taking taylor expansion of x in y 0.691 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.691 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.691 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.691 * [taylor]: Taking taylor expansion of 3 in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.692 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of 3 in x 0.694 * [taylor]: Taking taylor expansion of 0 in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 0 in x 0.702 * [taylor]: Taking taylor expansion of 0 in x 0.703 * * * [progress]: simplifying candidates 0.703 * [simplify]: Simplifying using # : (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (* (* (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.706 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.708 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.711 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.717 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.758 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.759 * [simplify]: Simplified to: (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 0.759 * * * [progress]: adding candidates to table 0.785 * * [progress]: iteration 3 / 4 0.785 * * * [progress]: picking best candidate 0.791 * * * * [pick]: Picked # 0.792 * * * [progress]: localizing error 0.800 * * * [progress]: generating rewritten candidates 0.800 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.816 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.834 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.834 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.849 * * * [progress]: generating series expansions 0.849 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.850 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.850 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.850 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.850 * [taylor]: Taking taylor expansion of x in y 0.850 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.850 * [taylor]: Taking taylor expansion of 2 in y 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.851 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.851 * [taylor]: Taking taylor expansion of 2 in x 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.852 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.852 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.852 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.852 * [taylor]: Taking taylor expansion of 2 in x 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.852 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.853 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.853 * [taylor]: Taking taylor expansion of 2 in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.858 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.858 * [taylor]: Taking taylor expansion of 1/2 in y 0.858 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.858 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.858 * [taylor]: Taking taylor expansion of 2 in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.868 * [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 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [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 0.875 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.875 * [taylor]: Taking taylor expansion of 2 in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of 1 in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of 0 in y 0.884 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.884 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.885 * [taylor]: Taking taylor expansion of 2 in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.888 * [taylor]: Taking taylor expansion of 2 in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.891 * [taylor]: Taking taylor expansion of 2 in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.891 * [taylor]: Taking taylor expansion of y in x 0.893 * [taylor]: Taking taylor expansion of 1 in y 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.895 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.900 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.900 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.900 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.900 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.900 * [taylor]: Taking taylor expansion of x in y 0.900 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.900 * [taylor]: Taking taylor expansion of 2 in y 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.901 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.901 * [taylor]: Taking taylor expansion of 2 in x 0.901 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.901 * [taylor]: Taking taylor expansion of y in x 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.902 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.902 * [taylor]: Taking taylor expansion of 2 in x 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.903 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.903 * [taylor]: Taking taylor expansion of 2 in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.908 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.908 * [taylor]: Taking taylor expansion of 1/2 in y 0.908 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.908 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.908 * [taylor]: Taking taylor expansion of 2 in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.923 * [taylor]: Taking taylor expansion of 2 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.926 * [taylor]: Taking taylor expansion of 2 in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.929 * [taylor]: Taking taylor expansion of 2 in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.929 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.929 * [taylor]: Taking taylor expansion of y in x 0.931 * [taylor]: Taking taylor expansion of 1 in y 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.938 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.938 * [taylor]: Taking taylor expansion of 2 in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.941 * [taylor]: Taking taylor expansion of 2 in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.944 * [taylor]: Taking taylor expansion of 2 in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of 1 in y 0.946 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [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 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.953 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.953 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 0.953 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 0.954 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.954 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.954 * [taylor]: Taking taylor expansion of 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 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.954 * [taylor]: Taking taylor expansion of 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 0.955 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.955 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.955 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.955 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.955 * [taylor]: Taking taylor expansion of 2 in x 0.955 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.955 * [taylor]: Taking taylor expansion of y in x 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.956 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.956 * [taylor]: Taking taylor expansion of 2 in x 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.956 * [taylor]: Taking taylor expansion of y in x 0.957 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.957 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.957 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.957 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.957 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.958 * [taylor]: Taking taylor expansion of 2 in x 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.958 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.959 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.959 * [taylor]: Taking taylor expansion of 2 in x 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.960 * [taylor]: Taking taylor expansion of y in x 0.961 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (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 (* (pow (sqrt 2) 2) (pow y 2)) in y 0.961 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 0.961 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.961 * [taylor]: Taking taylor expansion of 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 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.968 * [taylor]: Taking taylor expansion of 1 in y 0.979 * [taylor]: Taking taylor expansion of 0 in y 0.992 * [taylor]: Taking taylor expansion of 0 in y 0.993 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 0.993 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 0.993 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.993 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 0.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.994 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.994 * [taylor]: Taking taylor expansion of 2 in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 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 (* 2 (/ 1 (pow y 2))) in y 0.997 * [taylor]: Taking taylor expansion of 2 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 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.000 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.000 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.001 * [taylor]: Taking taylor expansion of 2 in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.004 * [taylor]: Taking taylor expansion of 2 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.009 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.009 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.009 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.009 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.010 * [taylor]: Taking taylor expansion of 2 in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.012 * [taylor]: Taking taylor expansion of 2 in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.012 * [taylor]: Taking taylor expansion of y in x 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.014 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of 1 in y 1.015 * [taylor]: Taking taylor expansion of 0 in y 1.020 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.020 * [taylor]: Taking taylor expansion of 3 in y 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [taylor]: Taking taylor expansion of 0 in y 1.037 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.037 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.038 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.038 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.038 * [taylor]: Taking taylor expansion of x in y 1.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.038 * [taylor]: Taking taylor expansion of 2 in y 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.041 * [taylor]: Taking taylor expansion of x in y 1.041 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.041 * [taylor]: Taking taylor expansion of 2 in y 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.044 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.044 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.045 * [taylor]: Taking taylor expansion of 2 in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.045 * [taylor]: Taking taylor expansion of y in x 1.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.048 * [taylor]: Taking taylor expansion of 2 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.050 * [taylor]: Taking taylor expansion of y in x 1.050 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.050 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.050 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.050 * [taylor]: Taking taylor expansion of 2 in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.053 * [taylor]: Taking taylor expansion of 2 in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of 1 in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.061 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.061 * [taylor]: Taking taylor expansion of 3 in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.067 * [taylor]: Taking taylor expansion of 0 in y 1.077 * [taylor]: Taking taylor expansion of 0 in y 1.078 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.079 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.079 * [taylor]: Taking taylor expansion of x in y 1.079 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.079 * [taylor]: Taking taylor expansion of 2 in y 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.079 * [taylor]: Taking taylor expansion of 2 in x 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.079 * [taylor]: Taking taylor expansion of 2 in x 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.079 * [taylor]: Taking taylor expansion of 2 in y 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.081 * [taylor]: Taking taylor expansion of 1 in y 1.084 * [taylor]: Taking taylor expansion of 0 in y 1.087 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.088 * [taylor]: Taking taylor expansion of x in y 1.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.088 * [taylor]: Taking taylor expansion of 2 in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.089 * [taylor]: Taking taylor expansion of 2 in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.089 * [taylor]: Taking taylor expansion of y in x 1.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.090 * [taylor]: Taking taylor expansion of 2 in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.090 * [taylor]: Taking taylor expansion of y in x 1.093 * [taylor]: Taking taylor expansion of 1 in y 1.095 * [taylor]: Taking taylor expansion of 0 in y 1.096 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.096 * [taylor]: Taking taylor expansion of 2 in y 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of 0 in y 1.103 * [taylor]: Taking taylor expansion of 0 in y 1.105 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.105 * [taylor]: Taking taylor expansion of 2 in y 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.107 * [taylor]: Taking taylor expansion of 2 in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.107 * [taylor]: Taking taylor expansion of 2 in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.108 * [taylor]: Taking taylor expansion of 1 in y 1.109 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.110 * [taylor]: Taking taylor expansion of 2 in y 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of 0 in y 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.119 * * * [progress]: simplifying candidates 1.119 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.125 * * [simplify]: iteration 0 : 175 enodes (cost 645 ) 1.129 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.143 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.210 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.212 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma x x (fma y y (* y y))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (pow (fma (pow y 2) 3 (pow x 2)) 3) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (exp (fma x x (fma y y (* y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)) (fma y (pow y 5) (pow (fma x x (* y y)) 3)) (fma (pow x 2) (fma x x (* y y)) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) 1.213 * * * [progress]: adding candidates to table 1.419 * * [progress]: iteration 4 / 4 1.419 * * * [progress]: picking best candidate 1.430 * * * * [pick]: Picked # 1.430 * * * [progress]: localizing error 1.437 * * * [progress]: generating rewritten candidates 1.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.443 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.448 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.451 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.453 * * * [progress]: generating series expansions 1.453 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.454 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.454 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.454 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.454 * [taylor]: Taking taylor expansion of 2 in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.455 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.455 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.455 * [taylor]: Taking taylor expansion of 2 in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.470 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.470 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.470 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.470 * [taylor]: Taking taylor expansion of 2 in y 1.470 * [taylor]: Taking taylor expansion of y in y 1.471 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.471 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.471 * [taylor]: Taking taylor expansion of 2 in y 1.472 * [taylor]: Taking taylor expansion of y in y 1.481 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.481 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.481 * [taylor]: Taking taylor expansion of -1 in y 1.481 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.481 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.481 * [taylor]: Taking taylor expansion of 2 in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.482 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.482 * [taylor]: Taking taylor expansion of -1 in y 1.482 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.482 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.482 * [taylor]: Taking taylor expansion of 2 in y 1.483 * [taylor]: Taking taylor expansion of y in y 1.496 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.496 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.496 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.496 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.496 * [taylor]: Taking taylor expansion of 2 in y 1.497 * [taylor]: Taking taylor expansion of y in y 1.497 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.497 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.497 * [taylor]: Taking taylor expansion of 2 in y 1.498 * [taylor]: Taking taylor expansion of y in y 1.508 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.508 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.508 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.508 * [taylor]: Taking taylor expansion of 2 in y 1.509 * [taylor]: Taking taylor expansion of y in y 1.509 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.509 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.510 * [taylor]: Taking taylor expansion of 2 in y 1.510 * [taylor]: Taking taylor expansion of y in y 1.519 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.519 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.519 * [taylor]: Taking taylor expansion of -1 in y 1.519 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.519 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.519 * [taylor]: Taking taylor expansion of 2 in y 1.519 * [taylor]: Taking taylor expansion of y in y 1.520 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.520 * [taylor]: Taking taylor expansion of -1 in y 1.520 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.520 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.520 * [taylor]: Taking taylor expansion of 2 in y 1.521 * [taylor]: Taking taylor expansion of y in y 1.535 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.535 * [approximate]: Taking taylor expansion of (pow (hypot y (hypot x (* (sqrt 2) y))) 2) in (y x) around 0 1.535 * [taylor]: Taking taylor expansion of (pow (hypot y (hypot x (* (sqrt 2) y))) 2) in x 1.535 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in x 1.536 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 1.536 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in x 1.536 * [taylor]: Taking taylor expansion of (* y y) in x 1.536 * [taylor]: Taking taylor expansion of y in x 1.536 * [taylor]: Taking taylor expansion of y in x 1.536 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in x 1.536 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.536 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.536 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.536 * [taylor]: Taking taylor expansion of (* x x) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.536 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.536 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.536 * [taylor]: Taking taylor expansion of 2 in x 1.537 * [taylor]: Taking taylor expansion of y in x 1.537 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.537 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.537 * [taylor]: Taking taylor expansion of 2 in x 1.537 * [taylor]: Taking taylor expansion of y in x 1.542 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.542 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.542 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.542 * [taylor]: Taking taylor expansion of (* x x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.542 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.542 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.542 * [taylor]: Taking taylor expansion of 2 in x 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.543 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.543 * [taylor]: Taking taylor expansion of 2 in x 1.544 * [taylor]: Taking taylor expansion of y in x 1.556 * [taylor]: Taking taylor expansion of (pow (hypot y (hypot x (* (sqrt 2) y))) 2) in y 1.556 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in y 1.556 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 1.556 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in y 1.556 * [taylor]: Taking taylor expansion of (* y y) in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.556 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in y 1.556 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.556 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.556 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.556 * [taylor]: Taking taylor expansion of (* x x) in y 1.556 * [taylor]: Taking taylor expansion of x in y 1.556 * [taylor]: Taking taylor expansion of x in y 1.556 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.556 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.556 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.556 * [taylor]: Taking taylor expansion of 2 in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.557 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.557 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.557 * [taylor]: Taking taylor expansion of 2 in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.562 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.562 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.562 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.562 * [taylor]: Taking taylor expansion of (* x x) in y 1.562 * [taylor]: Taking taylor expansion of x in y 1.562 * [taylor]: Taking taylor expansion of x in y 1.562 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.562 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.562 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.562 * [taylor]: Taking taylor expansion of 2 in y 1.563 * [taylor]: Taking taylor expansion of y in y 1.563 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.563 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.563 * [taylor]: Taking taylor expansion of 2 in y 1.563 * [taylor]: Taking taylor expansion of y in y 1.569 * [taylor]: Taking taylor expansion of (pow (hypot y (hypot x (* (sqrt 2) y))) 2) in y 1.569 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in y 1.569 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 1.569 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in y 1.569 * [taylor]: Taking taylor expansion of (* y y) in y 1.570 * [taylor]: Taking taylor expansion of y in y 1.570 * [taylor]: Taking taylor expansion of y in y 1.570 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in y 1.570 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.570 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.570 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.570 * [taylor]: Taking taylor expansion of (* x x) in y 1.570 * [taylor]: Taking taylor expansion of x in y 1.570 * [taylor]: Taking taylor expansion of x in y 1.570 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.570 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.570 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.570 * [taylor]: Taking taylor expansion of 2 in y 1.570 * [taylor]: Taking taylor expansion of y in y 1.570 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.570 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.570 * [taylor]: Taking taylor expansion of 2 in y 1.571 * [taylor]: Taking taylor expansion of y in y 1.576 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.576 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.576 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.576 * [taylor]: Taking taylor expansion of (* x x) in y 1.576 * [taylor]: Taking taylor expansion of x in y 1.576 * [taylor]: Taking taylor expansion of x in y 1.576 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.576 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.576 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.576 * [taylor]: Taking taylor expansion of 2 in y 1.577 * [taylor]: Taking taylor expansion of y in y 1.577 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.577 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.577 * [taylor]: Taking taylor expansion of 2 in y 1.577 * [taylor]: Taking taylor expansion of y in y 1.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of 0 in x 1.604 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 1.604 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 1.604 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.604 * [taylor]: Taking taylor expansion of 2 in x 1.605 * [taylor]: Taking taylor expansion of 1 in x 1.623 * [taylor]: Taking taylor expansion of 0 in x 1.651 * [taylor]: Taking taylor expansion of 0 in x 1.653 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) 2) in (y x) around 0 1.653 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) 2) in x 1.653 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.653 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 1.653 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in x 1.653 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.653 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.653 * [taylor]: Taking taylor expansion of y in x 1.653 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.653 * [taylor]: Taking taylor expansion of y in x 1.653 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.653 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.653 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.653 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.653 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.654 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.654 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.654 * [taylor]: Taking taylor expansion of 2 in x 1.654 * [taylor]: Taking taylor expansion of y in x 1.655 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.655 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.655 * [taylor]: Taking taylor expansion of 2 in x 1.655 * [taylor]: Taking taylor expansion of y in x 1.658 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.658 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.658 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.658 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.659 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.659 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.659 * [taylor]: Taking taylor expansion of 2 in x 1.660 * [taylor]: Taking taylor expansion of y in x 1.660 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.660 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.660 * [taylor]: Taking taylor expansion of 2 in x 1.661 * [taylor]: Taking taylor expansion of y in x 1.665 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) 2) in y 1.665 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.666 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 1.666 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in y 1.666 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.666 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.666 * [taylor]: Taking taylor expansion of y in y 1.666 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.666 * [taylor]: Taking taylor expansion of y in y 1.666 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.666 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.666 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.666 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.666 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.666 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.666 * [taylor]: Taking taylor expansion of x in y 1.666 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.666 * [taylor]: Taking taylor expansion of x in y 1.666 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.666 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.666 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.667 * [taylor]: Taking taylor expansion of 2 in y 1.667 * [taylor]: Taking taylor expansion of y in y 1.668 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.668 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.668 * [taylor]: Taking taylor expansion of 2 in y 1.668 * [taylor]: Taking taylor expansion of y in y 1.674 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.674 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.674 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.674 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.674 * [taylor]: Taking taylor expansion of x in y 1.674 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.674 * [taylor]: Taking taylor expansion of x in y 1.675 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.675 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.675 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.675 * [taylor]: Taking taylor expansion of 2 in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.676 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.676 * [taylor]: Taking taylor expansion of 2 in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.687 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) 2) in y 1.687 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.688 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 1.688 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in y 1.688 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.688 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.688 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.688 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.688 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.688 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.688 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.688 * [taylor]: Taking taylor expansion of x in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.688 * [taylor]: Taking taylor expansion of x in y 1.688 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.688 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.689 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.689 * [taylor]: Taking taylor expansion of 2 in y 1.689 * [taylor]: Taking taylor expansion of y in y 1.690 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.690 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.690 * [taylor]: Taking taylor expansion of 2 in y 1.690 * [taylor]: Taking taylor expansion of y in y 1.696 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.696 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.696 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.696 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.696 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.696 * [taylor]: Taking taylor expansion of x in y 1.696 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.696 * [taylor]: Taking taylor expansion of x in y 1.696 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.696 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.696 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.696 * [taylor]: Taking taylor expansion of 2 in y 1.697 * [taylor]: Taking taylor expansion of y in y 1.697 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.697 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.697 * [taylor]: Taking taylor expansion of 2 in y 1.698 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 1.712 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 1.712 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.712 * [taylor]: Taking taylor expansion of 2 in x 1.712 * [taylor]: Taking taylor expansion of 1 in x 1.713 * [taylor]: Taking taylor expansion of 0 in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of 0 in x 1.795 * [taylor]: Taking taylor expansion of 0 in x 1.800 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) 2) in (y x) around 0 1.800 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) 2) in x 1.800 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 1.800 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in x 1.800 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.800 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.800 * [taylor]: Taking taylor expansion of -1 in x 1.800 * [taylor]: Taking taylor expansion of y in x 1.800 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.800 * [taylor]: Taking taylor expansion of -1 in x 1.800 * [taylor]: Taking taylor expansion of y in x 1.800 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.800 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.800 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.800 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.800 * [taylor]: Taking taylor expansion of -1 in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.801 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.801 * [taylor]: Taking taylor expansion of -1 in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.801 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.801 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.801 * [taylor]: Taking taylor expansion of -1 in x 1.801 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.801 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.801 * [taylor]: Taking taylor expansion of 2 in x 1.802 * [taylor]: Taking taylor expansion of y in x 1.802 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.802 * [taylor]: Taking taylor expansion of -1 in x 1.802 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.802 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.802 * [taylor]: Taking taylor expansion of 2 in x 1.803 * [taylor]: Taking taylor expansion of y in x 1.805 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.805 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.805 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.806 * [taylor]: Taking taylor expansion of -1 in x 1.806 * [taylor]: Taking taylor expansion of x in x 1.806 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.806 * [taylor]: Taking taylor expansion of -1 in x 1.806 * [taylor]: Taking taylor expansion of x in x 1.806 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.806 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.806 * [taylor]: Taking taylor expansion of -1 in x 1.806 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.806 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.806 * [taylor]: Taking taylor expansion of 2 in x 1.810 * [taylor]: Taking taylor expansion of y in x 1.810 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.810 * [taylor]: Taking taylor expansion of -1 in x 1.810 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.810 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.810 * [taylor]: Taking taylor expansion of 2 in x 1.811 * [taylor]: Taking taylor expansion of y in x 1.815 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) 2) in y 1.815 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 1.816 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 1.816 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in y 1.816 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.816 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.816 * [taylor]: Taking taylor expansion of -1 in y 1.816 * [taylor]: Taking taylor expansion of y in y 1.816 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.816 * [taylor]: Taking taylor expansion of -1 in y 1.816 * [taylor]: Taking taylor expansion of y in y 1.816 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 1.816 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.816 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.816 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.816 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.816 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.816 * [taylor]: Taking taylor expansion of -1 in y 1.817 * [taylor]: Taking taylor expansion of x in y 1.817 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.817 * [taylor]: Taking taylor expansion of -1 in y 1.817 * [taylor]: Taking taylor expansion of x in y 1.817 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.817 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.817 * [taylor]: Taking taylor expansion of -1 in y 1.817 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.817 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.817 * [taylor]: Taking taylor expansion of 2 in y 1.817 * [taylor]: Taking taylor expansion of y in y 1.818 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.818 * [taylor]: Taking taylor expansion of -1 in y 1.818 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.818 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.818 * [taylor]: Taking taylor expansion of 2 in y 1.819 * [taylor]: Taking taylor expansion of y in y 1.827 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.827 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.827 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.827 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.827 * [taylor]: Taking taylor expansion of -1 in y 1.827 * [taylor]: Taking taylor expansion of x in y 1.827 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.827 * [taylor]: Taking taylor expansion of -1 in y 1.827 * [taylor]: Taking taylor expansion of x in y 1.827 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.827 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.827 * [taylor]: Taking taylor expansion of -1 in y 1.827 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.827 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.827 * [taylor]: Taking taylor expansion of 2 in y 1.828 * [taylor]: Taking taylor expansion of y in y 1.828 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.828 * [taylor]: Taking taylor expansion of -1 in y 1.828 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.828 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.828 * [taylor]: Taking taylor expansion of 2 in y 1.829 * [taylor]: Taking taylor expansion of y in y 1.843 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) 2) in y 1.843 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 1.843 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 1.843 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in y 1.843 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.843 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.843 * [taylor]: Taking taylor expansion of -1 in y 1.843 * [taylor]: Taking taylor expansion of y in y 1.843 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.843 * [taylor]: Taking taylor expansion of -1 in y 1.843 * [taylor]: Taking taylor expansion of y in y 1.844 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 1.844 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.844 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.844 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.844 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.844 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.844 * [taylor]: Taking taylor expansion of -1 in y 1.844 * [taylor]: Taking taylor expansion of x in y 1.844 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.844 * [taylor]: Taking taylor expansion of -1 in y 1.844 * [taylor]: Taking taylor expansion of x in y 1.844 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.844 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.844 * [taylor]: Taking taylor expansion of -1 in y 1.844 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.844 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.844 * [taylor]: Taking taylor expansion of 2 in y 1.845 * [taylor]: Taking taylor expansion of y in y 1.845 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.845 * [taylor]: Taking taylor expansion of -1 in y 1.845 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.845 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.845 * [taylor]: Taking taylor expansion of 2 in y 1.846 * [taylor]: Taking taylor expansion of y in y 1.854 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.854 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.854 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.854 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.854 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.854 * [taylor]: Taking taylor expansion of -1 in y 1.854 * [taylor]: Taking taylor expansion of x in y 1.854 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.854 * [taylor]: Taking taylor expansion of -1 in y 1.854 * [taylor]: Taking taylor expansion of x in y 1.854 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.854 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.854 * [taylor]: Taking taylor expansion of -1 in y 1.854 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.854 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.854 * [taylor]: Taking taylor expansion of 2 in y 1.855 * [taylor]: Taking taylor expansion of y in y 1.856 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.856 * [taylor]: Taking taylor expansion of -1 in y 1.856 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.856 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.856 * [taylor]: Taking taylor expansion of 2 in y 1.856 * [taylor]: Taking taylor expansion of y in y 1.874 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 1.874 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 1.874 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.874 * [taylor]: Taking taylor expansion of 2 in x 1.875 * [taylor]: Taking taylor expansion of 1 in x 1.875 * [taylor]: Taking taylor expansion of 0 in x 1.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of 0 in x 1.969 * [taylor]: Taking taylor expansion of 0 in x 1.973 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.973 * [approximate]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in (y x) around 0 1.973 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in x 1.973 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 1.973 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in x 1.973 * [taylor]: Taking taylor expansion of (* y y) in x 1.973 * [taylor]: Taking taylor expansion of y in x 1.973 * [taylor]: Taking taylor expansion of y in x 1.973 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in x 1.973 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.974 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.974 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.974 * [taylor]: Taking taylor expansion of (* x x) in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.974 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.974 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.974 * [taylor]: Taking taylor expansion of 2 in x 1.974 * [taylor]: Taking taylor expansion of y in x 1.975 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.975 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.975 * [taylor]: Taking taylor expansion of 2 in x 1.975 * [taylor]: Taking taylor expansion of y in x 1.984 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.984 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.984 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.984 * [taylor]: Taking taylor expansion of (* x x) in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.984 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.984 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.984 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.984 * [taylor]: Taking taylor expansion of 2 in x 1.985 * [taylor]: Taking taylor expansion of y in x 1.985 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.985 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.985 * [taylor]: Taking taylor expansion of 2 in x 1.986 * [taylor]: Taking taylor expansion of y in x 1.994 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in y 1.994 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 1.994 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in y 1.994 * [taylor]: Taking taylor expansion of (* y y) in y 1.994 * [taylor]: Taking taylor expansion of y in y 1.994 * [taylor]: Taking taylor expansion of y in y 1.994 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in y 1.994 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.994 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.994 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.994 * [taylor]: Taking taylor expansion of (* x x) in y 1.994 * [taylor]: Taking taylor expansion of x in y 1.995 * [taylor]: Taking taylor expansion of x in y 1.995 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.995 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.995 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.995 * [taylor]: Taking taylor expansion of 2 in y 1.995 * [taylor]: Taking taylor expansion of y in y 1.995 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.995 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.995 * [taylor]: Taking taylor expansion of 2 in y 1.996 * [taylor]: Taking taylor expansion of y in y 2.000 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 2.000 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 2.000 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 2.000 * [taylor]: Taking taylor expansion of (* x x) in y 2.000 * [taylor]: Taking taylor expansion of x in y 2.000 * [taylor]: Taking taylor expansion of x in y 2.000 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 2.000 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.000 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.000 * [taylor]: Taking taylor expansion of 2 in y 2.001 * [taylor]: Taking taylor expansion of y in y 2.001 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.001 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.001 * [taylor]: Taking taylor expansion of 2 in y 2.002 * [taylor]: Taking taylor expansion of y in y 2.007 * [taylor]: Taking taylor expansion of (hypot y (hypot x (* (sqrt 2) y))) in y 2.007 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) 2.007 * [taylor]: Taking taylor expansion of (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) in y 2.007 * [taylor]: Taking taylor expansion of (* y y) in y 2.007 * [taylor]: Taking taylor expansion of y in y 2.007 * [taylor]: Taking taylor expansion of y in y 2.007 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) in y 2.007 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 2.007 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 2.007 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 2.008 * [taylor]: Taking taylor expansion of (* x x) in y 2.008 * [taylor]: Taking taylor expansion of x in y 2.008 * [taylor]: Taking taylor expansion of x in y 2.008 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 2.008 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.008 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.008 * [taylor]: Taking taylor expansion of 2 in y 2.008 * [taylor]: Taking taylor expansion of y in y 2.008 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.008 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.008 * [taylor]: Taking taylor expansion of 2 in y 2.009 * [taylor]: Taking taylor expansion of y in y 2.013 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 2.013 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 2.013 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 2.013 * [taylor]: Taking taylor expansion of (* x x) in y 2.013 * [taylor]: Taking taylor expansion of x in y 2.013 * [taylor]: Taking taylor expansion of x in y 2.013 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 2.013 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.013 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.013 * [taylor]: Taking taylor expansion of 2 in y 2.014 * [taylor]: Taking taylor expansion of y in y 2.014 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 2.014 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.014 * [taylor]: Taking taylor expansion of 2 in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [taylor]: Taking taylor expansion of 0 in x 2.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (pow (sqrt 2) 2) 1) x)) in x 2.040 * [taylor]: Taking taylor expansion of 1/2 in x 2.040 * [taylor]: Taking taylor expansion of (/ (+ (pow (sqrt 2) 2) 1) x) in x 2.040 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.040 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.040 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.040 * [taylor]: Taking taylor expansion of 2 in x 2.041 * [taylor]: Taking taylor expansion of 1 in x 2.041 * [taylor]: Taking taylor expansion of x in x 2.058 * [taylor]: Taking taylor expansion of 0 in x 2.061 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in (y x) around 0 2.061 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 2.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 2.061 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in x 2.061 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.061 * [taylor]: Taking taylor expansion of y in x 2.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.061 * [taylor]: Taking taylor expansion of y in x 2.061 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 2.061 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 2.062 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.062 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 2.062 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 2.066 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.066 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.066 * [taylor]: Taking taylor expansion of 2 in x 2.066 * [taylor]: Taking taylor expansion of y in x 2.067 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.067 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.067 * [taylor]: Taking taylor expansion of 2 in x 2.067 * [taylor]: Taking taylor expansion of y in x 2.070 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 2.070 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.070 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 2.070 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 2.071 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.071 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.071 * [taylor]: Taking taylor expansion of 2 in x 2.071 * [taylor]: Taking taylor expansion of y in x 2.072 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.072 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.072 * [taylor]: Taking taylor expansion of 2 in x 2.072 * [taylor]: Taking taylor expansion of y in x 2.077 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 2.077 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 2.077 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in y 2.077 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.077 * [taylor]: Taking taylor expansion of y in y 2.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.078 * [taylor]: Taking taylor expansion of y in y 2.078 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 2.078 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 2.078 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.078 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 2.078 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.078 * [taylor]: Taking taylor expansion of x in y 2.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.078 * [taylor]: Taking taylor expansion of x in y 2.078 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 2.078 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.078 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.078 * [taylor]: Taking taylor expansion of 2 in y 2.079 * [taylor]: Taking taylor expansion of y in y 2.079 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.079 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.080 * [taylor]: Taking taylor expansion of 2 in y 2.080 * [taylor]: Taking taylor expansion of y in y 2.085 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 2.086 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.086 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 2.086 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.086 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.086 * [taylor]: Taking taylor expansion of x in y 2.086 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.086 * [taylor]: Taking taylor expansion of x in y 2.086 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 2.086 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.086 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.086 * [taylor]: Taking taylor expansion of 2 in y 2.086 * [taylor]: Taking taylor expansion of y in y 2.087 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.087 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.087 * [taylor]: Taking taylor expansion of 2 in y 2.088 * [taylor]: Taking taylor expansion of y in y 2.099 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 2.099 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))))) 2.099 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y)))) in y 2.099 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.099 * [taylor]: Taking taylor expansion of y in y 2.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.099 * [taylor]: Taking taylor expansion of y in y 2.099 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 2.100 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 2.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.100 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 2.100 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.100 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.100 * [taylor]: Taking taylor expansion of x in y 2.100 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.100 * [taylor]: Taking taylor expansion of x in y 2.100 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 2.100 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.100 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.100 * [taylor]: Taking taylor expansion of 2 in y 2.100 * [taylor]: Taking taylor expansion of y in y 2.101 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.101 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.101 * [taylor]: Taking taylor expansion of 2 in y 2.102 * [taylor]: Taking taylor expansion of y in y 2.107 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 2.107 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 2.107 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 2.107 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.107 * [taylor]: Taking taylor expansion of x in y 2.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.107 * [taylor]: Taking taylor expansion of x in y 2.107 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 2.107 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.107 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.107 * [taylor]: Taking taylor expansion of 2 in y 2.108 * [taylor]: Taking taylor expansion of y in y 2.109 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.109 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.109 * [taylor]: Taking taylor expansion of 2 in y 2.109 * [taylor]: Taking taylor expansion of y in y 2.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sqrt 2) 2) 1)) in x 2.120 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.120 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.120 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.120 * [taylor]: Taking taylor expansion of 2 in x 2.121 * [taylor]: Taking taylor expansion of 1 in x 2.126 * [taylor]: Taking taylor expansion of 0 in x 2.140 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1))))) in x 2.141 * [taylor]: Taking taylor expansion of 1/2 in x 2.141 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1)))) in x 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1))) in x 2.141 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sqrt 2) 2) 1)) in x 2.141 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.141 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.141 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.141 * [taylor]: Taking taylor expansion of 2 in x 2.142 * [taylor]: Taking taylor expansion of 1 in x 2.173 * [taylor]: Taking taylor expansion of 0 in x 2.183 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in (y x) around 0 2.183 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 2.183 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 2.183 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in x 2.184 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.184 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.184 * [taylor]: Taking taylor expansion of -1 in x 2.184 * [taylor]: Taking taylor expansion of y in x 2.184 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.184 * [taylor]: Taking taylor expansion of -1 in x 2.184 * [taylor]: Taking taylor expansion of y in x 2.184 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 2.184 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 2.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.184 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 2.184 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.184 * [taylor]: Taking taylor expansion of -1 in x 2.184 * [taylor]: Taking taylor expansion of x in x 2.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.184 * [taylor]: Taking taylor expansion of -1 in x 2.184 * [taylor]: Taking taylor expansion of x in x 2.184 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 2.184 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 2.185 * [taylor]: Taking taylor expansion of -1 in x 2.185 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.185 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.185 * [taylor]: Taking taylor expansion of 2 in x 2.185 * [taylor]: Taking taylor expansion of y in x 2.185 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 2.185 * [taylor]: Taking taylor expansion of -1 in x 2.186 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.186 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.186 * [taylor]: Taking taylor expansion of 2 in x 2.186 * [taylor]: Taking taylor expansion of y in x 2.189 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 2.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.189 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 2.189 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.189 * [taylor]: Taking taylor expansion of -1 in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.189 * [taylor]: Taking taylor expansion of -1 in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.190 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 2.190 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 2.190 * [taylor]: Taking taylor expansion of -1 in x 2.190 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.190 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.190 * [taylor]: Taking taylor expansion of 2 in x 2.190 * [taylor]: Taking taylor expansion of y in x 2.191 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 2.191 * [taylor]: Taking taylor expansion of -1 in x 2.191 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 2.191 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.191 * [taylor]: Taking taylor expansion of 2 in x 2.191 * [taylor]: Taking taylor expansion of y in x 2.196 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 2.196 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 2.196 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in y 2.196 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.196 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.196 * [taylor]: Taking taylor expansion of -1 in y 2.196 * [taylor]: Taking taylor expansion of y in y 2.196 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.196 * [taylor]: Taking taylor expansion of -1 in y 2.196 * [taylor]: Taking taylor expansion of y in y 2.197 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 2.197 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.197 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.197 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.197 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.197 * [taylor]: Taking taylor expansion of -1 in y 2.197 * [taylor]: Taking taylor expansion of x in y 2.197 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.197 * [taylor]: Taking taylor expansion of -1 in y 2.197 * [taylor]: Taking taylor expansion of x in y 2.197 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.197 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.197 * [taylor]: Taking taylor expansion of -1 in y 2.197 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.197 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.197 * [taylor]: Taking taylor expansion of 2 in y 2.198 * [taylor]: Taking taylor expansion of y in y 2.198 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.198 * [taylor]: Taking taylor expansion of -1 in y 2.198 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.198 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.198 * [taylor]: Taking taylor expansion of 2 in y 2.199 * [taylor]: Taking taylor expansion of y in y 2.207 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.207 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.207 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.207 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.207 * [taylor]: Taking taylor expansion of -1 in y 2.208 * [taylor]: Taking taylor expansion of x in y 2.208 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.208 * [taylor]: Taking taylor expansion of -1 in y 2.208 * [taylor]: Taking taylor expansion of x in y 2.208 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.208 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.208 * [taylor]: Taking taylor expansion of -1 in y 2.208 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.208 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.208 * [taylor]: Taking taylor expansion of 2 in y 2.208 * [taylor]: Taking taylor expansion of y in y 2.209 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.209 * [taylor]: Taking taylor expansion of -1 in y 2.209 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.209 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.209 * [taylor]: Taking taylor expansion of 2 in y 2.210 * [taylor]: Taking taylor expansion of y in y 2.223 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 2.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))))) 2.224 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))))) in y 2.224 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.224 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.224 * [taylor]: Taking taylor expansion of -1 in y 2.224 * [taylor]: Taking taylor expansion of y in y 2.224 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.224 * [taylor]: Taking taylor expansion of -1 in y 2.224 * [taylor]: Taking taylor expansion of y in y 2.224 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 2.224 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.224 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.224 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.224 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.224 * [taylor]: Taking taylor expansion of -1 in y 2.224 * [taylor]: Taking taylor expansion of x in y 2.225 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.225 * [taylor]: Taking taylor expansion of -1 in y 2.225 * [taylor]: Taking taylor expansion of x in y 2.225 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.225 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.225 * [taylor]: Taking taylor expansion of -1 in y 2.225 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.225 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.225 * [taylor]: Taking taylor expansion of 2 in y 2.225 * [taylor]: Taking taylor expansion of y in y 2.226 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.226 * [taylor]: Taking taylor expansion of -1 in y 2.226 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.226 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.226 * [taylor]: Taking taylor expansion of 2 in y 2.227 * [taylor]: Taking taylor expansion of y in y 2.238 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 2.239 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 2.239 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 2.239 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.239 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.239 * [taylor]: Taking taylor expansion of -1 in y 2.239 * [taylor]: Taking taylor expansion of x in y 2.239 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.239 * [taylor]: Taking taylor expansion of -1 in y 2.239 * [taylor]: Taking taylor expansion of x in y 2.239 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 2.239 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.239 * [taylor]: Taking taylor expansion of -1 in y 2.239 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.239 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.239 * [taylor]: Taking taylor expansion of 2 in y 2.240 * [taylor]: Taking taylor expansion of y in y 2.240 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 2.240 * [taylor]: Taking taylor expansion of -1 in y 2.240 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 2.240 * [taylor]: Taking taylor expansion of (sqrt 2) in y 2.240 * [taylor]: Taking taylor expansion of 2 in y 2.241 * [taylor]: Taking taylor expansion of y in y 2.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sqrt 2) 2) 1)) in x 2.254 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.254 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.254 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.254 * [taylor]: Taking taylor expansion of 2 in x 2.255 * [taylor]: Taking taylor expansion of 1 in x 2.259 * [taylor]: Taking taylor expansion of 0 in x 2.277 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1))))) in x 2.277 * [taylor]: Taking taylor expansion of 1/2 in x 2.277 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1)))) in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.278 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sqrt 2) 2) 1))) in x 2.278 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sqrt 2) 2) 1)) in x 2.278 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 2.278 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.278 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.278 * [taylor]: Taking taylor expansion of 2 in x 2.279 * [taylor]: Taking taylor expansion of 1 in x 2.309 * [taylor]: Taking taylor expansion of 0 in x 2.322 * * * [progress]: simplifying candidates 2.324 * [simplify]: Simplifying using # : (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (+ (log (sqrt 2)) (log y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y)) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (* (sqrt 2) 1) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (+ (log (sqrt 2)) (log y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y)) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (* (sqrt 2) 1) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (log1p (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (+ 1 1) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (+ 1 1) (+ (log (hypot y (hypot x (* (sqrt 2) y)))) (log (hypot y (hypot x (* (sqrt 2) y))))) (log (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (exp (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (* (* (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (hypot y (hypot x (* (sqrt 2) y)))) (* (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (hypot y (hypot x (* (sqrt 2) y))))) (* (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))))) (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (* (* (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (* (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (sqrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (sqrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (* (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y))))) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y)))))) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y))))) (* (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y))))) (* (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y))))) (* 1 1) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (* (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y))))) (* (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y))))) (* 2 1) (* (hypot y (hypot x (* (sqrt 2) y))) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y)))))) (* (hypot y (hypot x (* (sqrt 2) y))) (sqrt (hypot y (hypot x (* (sqrt 2) y))))) (* (hypot y (hypot x (* (sqrt 2) y))) 1) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (hypot y (hypot x (* (sqrt 2) y)))) (* (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (hypot y (hypot x (* (sqrt 2) y)))) (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (expm1 (hypot y (hypot x (* (sqrt 2) y)))) (log1p (hypot y (hypot x (* (sqrt 2) y)))) (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (log (hypot y (hypot x (* (sqrt 2) y)))) (exp (hypot y (hypot x (* (sqrt 2) y)))) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y))))) (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (* (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))) (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) x (* y (sqrt (+ (pow (sqrt 2) 2) 1))) (* -1 (* y (sqrt (+ (pow (sqrt 2) 2) 1)))) 2.329 * * [simplify]: iteration 0 : 164 enodes (cost 571 ) 2.333 * * [simplify]: iteration 1 : 661 enodes (cost 479 ) 2.350 * * [simplify]: iteration 2 : 3791 enodes (cost 442 ) 2.473 * * [simplify]: iteration 3 : 5001 enodes (cost 436 ) 2.475 * [simplify]: Simplified to: (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (log (* (sqrt 2) y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (sqrt 2) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (log (* (sqrt 2) y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (sqrt 2) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (log1p (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) 2 (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 4) 2 (* 2 (log (hypot y (hypot x (* (sqrt 2) y))))) (* 2 (log (hypot y (hypot x (* (sqrt 2) y))))) (pow (exp 1) (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 4)) (pow (hypot y (hypot x (* (sqrt 2) y))) 6) (* (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y)))))) (cbrt (* (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))))) (pow (hypot y (hypot x (* (sqrt 2) y))) 6) (* (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (+ (* y y) (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (fabs (hypot y (hypot x (* (sqrt 2) y)))) (fabs (hypot y (hypot x (* (sqrt 2) y)))) (pow (cbrt (hypot y (hypot x (* (sqrt 2) y)))) 4) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y))))) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) 1 (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 4) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) 2 (pow (cbrt (hypot y (hypot x (* (sqrt 2) y)))) 5) (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 3) (hypot y (hypot x (* (sqrt 2) y))) (pow (cbrt (hypot y (hypot x (* (sqrt 2) y)))) 4) (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 3) (pow (sqrt (hypot y (hypot x (* (sqrt 2) y)))) 4) (expm1 (hypot y (hypot x (* (sqrt 2) y)))) (log1p (hypot y (hypot x (* (sqrt 2) y)))) (fma y y (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (log (hypot y (hypot x (* (sqrt 2) y)))) (exp (hypot y (hypot x (* (sqrt 2) y)))) (* (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (cbrt (hypot y (hypot x (* (sqrt 2) y))))) (cbrt (hypot y (hypot x (* (sqrt 2) y)))) (pow (hypot y (hypot x (* (sqrt 2) y))) 3) (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (sqrt (hypot y (hypot x (* (sqrt 2) y)))) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (fma 3 (pow y 2) (pow x 2)) (fma 3 (pow y 2) (pow x 2)) (fma 3 (pow y 2) (pow x 2)) x (* y (hypot 1 (sqrt 2))) (* (- (hypot 1 (sqrt 2))) y) 2.476 * * * [progress]: adding candidates to table 2.699 * [progress]: [Phase 3 of 3] Extracting. 2.699 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.701 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 2.701 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 2.727 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 2.751 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # # #) 2.780 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.806 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.833 * * * [regime]: Found split indices: #