215.452 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.024 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.026 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.028 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.030 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.034 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.036 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.039 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.042 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.049 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.078 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.306 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.307 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.310 * * [progress]: iteration 1 / 4 0.310 * * * [progress]: picking best candidate 0.312 * * * * [pick]: Picked # 0.312 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.378 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.393 * * * [progress]: generating series expansions 0.393 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.393 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of 3 in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.393 * [taylor]: Taking taylor expansion of 3 in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of 3 in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.394 * [taylor]: Taking taylor expansion of 3 in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of 1 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.403 * [taylor]: Taking taylor expansion of 3 in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of 3 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.405 * [taylor]: Taking taylor expansion of 3 in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of 1 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.408 * [taylor]: Taking taylor expansion of 3 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.417 * [taylor]: Taking taylor expansion of 3 in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.418 * [taylor]: Taking taylor expansion of 3 in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.419 * [taylor]: Taking taylor expansion of 3 in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of 1 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.421 * [taylor]: Taking taylor expansion of 3 in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.432 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.432 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of 2 in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.432 * [taylor]: Taking taylor expansion of 2 in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.432 * [taylor]: Taking taylor expansion of 2 in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of 2 in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 1 in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x 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 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of 2 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of 2 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of 1 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.445 * [taylor]: Taking taylor expansion of 2 in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.454 * [taylor]: Taking taylor expansion of 2 in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.455 * [taylor]: Taking taylor expansion of 2 in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.456 * [taylor]: Taking taylor expansion of 2 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of 1 in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.459 * [taylor]: Taking taylor expansion of 2 in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.466 * * * [progress]: simplifying candidates 0.467 * [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))) 0.471 * * [simplify]: iteration 0 : 178 enodes (cost 305 ) 0.475 * * [simplify]: iteration 1 : 842 enodes (cost 249 ) 0.491 * * [simplify]: iteration 2 : 4026 enodes (cost 226 ) 0.575 * * [simplify]: iteration 3 : 5001 enodes (cost 221 ) 0.576 * [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))) 0.577 * * * [progress]: adding candidates to table 0.665 * * [progress]: iteration 2 / 4 0.665 * * * [progress]: picking best candidate 0.677 * * * * [pick]: Picked # 0.677 * * * [progress]: localizing error 0.682 * * * [progress]: generating rewritten candidates 0.682 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.683 * * * [progress]: generating series expansions 0.683 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.683 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.683 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.683 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.683 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.683 * [taylor]: Taking taylor expansion of 3 in x 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.683 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.683 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.683 * [taylor]: Taking taylor expansion of 3 in y 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.683 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.683 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.683 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.683 * [taylor]: Taking taylor expansion of 3 in y 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of 0 in x 0.685 * [taylor]: Taking taylor expansion of 3 in x 0.687 * [taylor]: Taking taylor expansion of 0 in x 0.689 * [taylor]: Taking taylor expansion of 0 in x 0.690 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.690 * [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 0.691 * [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 0.691 * [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 0.692 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.692 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.692 * [taylor]: Taking taylor expansion of 3 in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.692 * [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 0.693 * [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 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.703 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.703 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.703 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.703 * [taylor]: Taking taylor expansion of 3 in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.703 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.704 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.704 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.704 * [taylor]: Taking taylor expansion of 3 in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.705 * [taylor]: Taking taylor expansion of x in y 0.705 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.705 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.705 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.705 * [taylor]: Taking taylor expansion of 3 in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.706 * [taylor]: Taking taylor expansion of 3 in x 0.708 * [taylor]: Taking taylor expansion of 0 in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.710 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of 0 in x 0.719 * [taylor]: Taking taylor expansion of 0 in x 0.721 * * * [progress]: simplifying candidates 0.721 * [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))) 0.724 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.726 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.729 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.734 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.773 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.774 * [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)) 0.774 * * * [progress]: adding candidates to table 0.797 * * [progress]: iteration 3 / 4 0.797 * * * [progress]: picking best candidate 0.806 * * * * [pick]: Picked # 0.806 * * * [progress]: localizing error 0.814 * * * [progress]: generating rewritten candidates 0.814 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.833 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.848 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.849 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.864 * * * [progress]: generating series expansions 0.864 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.865 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.865 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.865 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.865 * [taylor]: Taking taylor expansion of 2 in y 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.866 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.866 * [taylor]: Taking taylor expansion of 2 in x 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.867 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.867 * [taylor]: Taking taylor expansion of 2 in x 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.868 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.868 * [taylor]: Taking taylor expansion of 2 in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.873 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.873 * [taylor]: Taking taylor expansion of 1/2 in y 0.873 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.873 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.873 * [taylor]: Taking taylor expansion of 2 in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.883 * [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 0.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.884 * [taylor]: Taking taylor expansion of 2 in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.884 * [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 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.887 * [taylor]: Taking taylor expansion of 2 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.890 * [taylor]: Taking taylor expansion of 2 in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.890 * [taylor]: Taking taylor expansion of y in x 0.892 * [taylor]: Taking taylor expansion of 1 in y 0.892 * [taylor]: Taking taylor expansion of 0 in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.899 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.899 * [taylor]: Taking taylor expansion of 2 in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2))) in x 0.902 * [taylor]: Taking taylor expansion of 2 in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.905 * [taylor]: Taking taylor expansion of 2 in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of 1 in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.917 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.918 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.918 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of 2 in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.918 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.918 * [taylor]: Taking taylor expansion of 2 in x 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.919 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.920 * [taylor]: Taking taylor expansion of 2 in x 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.921 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.921 * [taylor]: Taking taylor expansion of 2 in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.925 * [taylor]: Taking taylor expansion of 1/2 in y 0.925 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.925 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.925 * [taylor]: Taking taylor expansion of 2 in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.935 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.936 * [taylor]: Taking taylor expansion of 2 in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.939 * [taylor]: Taking taylor expansion of 2 in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.941 * [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 0.942 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.942 * [taylor]: Taking taylor expansion of 2 in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.942 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.942 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of 1 in y 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.950 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.951 * [taylor]: Taking taylor expansion of 2 in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.954 * [taylor]: Taking taylor expansion of 2 in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.957 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.957 * [taylor]: Taking taylor expansion of 2 in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.957 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of 1 in y 0.959 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.965 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.965 * [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 0.965 * [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 0.966 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.966 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 0.966 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.966 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.966 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of 2 in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.966 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.966 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of 2 in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.967 * [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 0.967 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.967 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.967 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.967 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.967 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.967 * [taylor]: Taking taylor expansion of 2 in x 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.967 * [taylor]: Taking taylor expansion of y in x 0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.968 * [taylor]: Taking taylor expansion of 2 in x 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.969 * [taylor]: Taking taylor expansion of y in x 0.969 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.969 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.969 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.969 * [taylor]: Taking taylor expansion of 2 in x 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.971 * [taylor]: Taking taylor expansion of 2 in x 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.973 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 0.973 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 0.973 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.973 * [taylor]: Taking taylor expansion of 2 in y 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.980 * [taylor]: Taking taylor expansion of 1 in y 0.996 * [taylor]: Taking taylor expansion of 0 in y 1.009 * [taylor]: Taking taylor expansion of 0 in y 1.011 * [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 1.011 * [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 1.011 * [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))) 1.011 * [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 1.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.012 * [taylor]: Taking taylor expansion of x in y 1.012 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.012 * [taylor]: Taking taylor expansion of 2 in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.015 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.015 * [taylor]: Taking taylor expansion of 2 in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.019 * [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 1.019 * [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))) 1.019 * [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 1.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.020 * [taylor]: Taking taylor expansion of 2 in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.020 * [taylor]: Taking taylor expansion of y in x 1.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.022 * [taylor]: Taking taylor expansion of 2 in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.025 * [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 1.025 * [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))) 1.025 * [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 1.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.025 * [taylor]: Taking taylor expansion of 2 in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.027 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.028 * [taylor]: Taking taylor expansion of 2 in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.031 * [taylor]: Taking taylor expansion of 1 in y 1.031 * [taylor]: Taking taylor expansion of 0 in y 1.036 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.036 * [taylor]: Taking taylor expansion of 3 in y 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.051 * [taylor]: Taking taylor expansion of 0 in y 1.054 * [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 1.054 * [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 1.054 * [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))) 1.054 * [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 1.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.054 * [taylor]: Taking taylor expansion of x in y 1.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.054 * [taylor]: Taking taylor expansion of 2 in y 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.057 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.057 * [taylor]: Taking taylor expansion of x in y 1.057 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.057 * [taylor]: Taking taylor expansion of 2 in y 1.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.057 * [taylor]: Taking taylor expansion of y in y 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.060 * [taylor]: Taking taylor expansion of y in y 1.060 * [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 1.061 * [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))) 1.061 * [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 1.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.061 * [taylor]: Taking taylor expansion of 2 in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.061 * [taylor]: Taking taylor expansion of y in x 1.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.064 * [taylor]: Taking taylor expansion of 2 in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.066 * [taylor]: Taking taylor expansion of y in x 1.066 * [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 1.066 * [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))) 1.066 * [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 1.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.067 * [taylor]: Taking taylor expansion of 2 in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.067 * [taylor]: Taking taylor expansion of y in x 1.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.069 * [taylor]: Taking taylor expansion of 2 in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.069 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.078 * [taylor]: Taking taylor expansion of 1 in y 1.079 * [taylor]: Taking taylor expansion of 0 in y 1.083 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.083 * [taylor]: Taking taylor expansion of 3 in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.090 * [taylor]: Taking taylor expansion of 0 in y 1.099 * [taylor]: Taking taylor expansion of 0 in y 1.101 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.102 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.102 * [taylor]: Taking taylor expansion of x in y 1.102 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.102 * [taylor]: Taking taylor expansion of 2 in y 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.102 * [taylor]: Taking taylor expansion of 2 in x 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.102 * [taylor]: Taking taylor expansion of y in x 1.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.102 * [taylor]: Taking taylor expansion of 2 in x 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.102 * [taylor]: Taking taylor expansion of y in x 1.102 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.102 * [taylor]: Taking taylor expansion of 2 in y 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.103 * [taylor]: Taking taylor expansion of 0 in y 1.104 * [taylor]: Taking taylor expansion of 1 in y 1.107 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.110 * [taylor]: Taking taylor expansion of x 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 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.112 * [taylor]: Taking taylor expansion of 2 in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.112 * [taylor]: Taking taylor expansion of y in x 1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.112 * [taylor]: Taking taylor expansion of 2 in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.112 * [taylor]: Taking taylor expansion of y in x 1.113 * [taylor]: Taking taylor expansion of 1 in y 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.115 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.115 * [taylor]: Taking taylor expansion of 2 in y 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.115 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [taylor]: Taking taylor expansion of 0 in y 1.123 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.123 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.123 * [taylor]: Taking taylor expansion of x in y 1.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.123 * [taylor]: Taking taylor expansion of 2 in y 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.123 * [taylor]: Taking taylor expansion of y in y 1.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.125 * [taylor]: Taking taylor expansion of 2 in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.125 * [taylor]: Taking taylor expansion of y in x 1.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.125 * [taylor]: Taking taylor expansion of 2 in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.125 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of 1 in y 1.127 * [taylor]: Taking taylor expansion of 0 in y 1.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.128 * [taylor]: Taking taylor expansion of 2 in y 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.131 * [taylor]: Taking taylor expansion of 0 in y 1.134 * [taylor]: Taking taylor expansion of 0 in y 1.136 * * * [progress]: simplifying candidates 1.137 * [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))) 1.142 * * [simplify]: iteration 0 : 175 enodes (cost 645 ) 1.147 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.160 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.224 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.226 * [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))) 1.227 * * * [progress]: adding candidates to table 1.441 * * [progress]: iteration 4 / 4 1.441 * * * [progress]: picking best candidate 1.455 * * * * [pick]: Picked # 1.455 * * * [progress]: localizing error 1.470 * * * [progress]: generating rewritten candidates 1.470 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.486 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.491 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.491 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.493 * * * [progress]: generating series expansions 1.493 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.493 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.493 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.493 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.493 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.493 * [taylor]: Taking taylor expansion of x in y 1.493 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.493 * [taylor]: Taking taylor expansion of 2 in y 1.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.493 * [taylor]: Taking taylor expansion of y in y 1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.494 * [taylor]: Taking taylor expansion of 2 in x 1.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.494 * [taylor]: Taking taylor expansion of y in x 1.496 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.496 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.496 * [taylor]: Taking taylor expansion of 2 in x 1.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.496 * [taylor]: Taking taylor expansion of y in x 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 1.497 * [taylor]: Taking taylor expansion of y in y 1.498 * [taylor]: Taking taylor expansion of 0 in y 1.502 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.502 * [taylor]: Taking taylor expansion of 1/2 in y 1.502 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.502 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.502 * [taylor]: Taking taylor expansion of 2 in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.510 * [taylor]: Taking taylor expansion of 0 in y 1.512 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.512 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.512 * [taylor]: Taking taylor expansion of x in y 1.513 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.513 * [taylor]: Taking taylor expansion of 2 in y 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.513 * [taylor]: Taking taylor expansion of y in y 1.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.516 * [taylor]: Taking taylor expansion of 2 in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.519 * [taylor]: Taking taylor expansion of 2 in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.519 * [taylor]: Taking taylor expansion of y in x 1.521 * [taylor]: Taking taylor expansion of 1 in y 1.521 * [taylor]: Taking taylor expansion of 0 in y 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.523 * [taylor]: Taking taylor expansion of y in y 1.527 * [taylor]: Taking taylor expansion of 0 in y 1.528 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.528 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.528 * [taylor]: Taking taylor expansion of x in y 1.528 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.528 * [taylor]: Taking taylor expansion of 2 in y 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.528 * [taylor]: Taking taylor expansion of y in y 1.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.532 * [taylor]: Taking taylor expansion of 2 in x 1.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.532 * [taylor]: Taking taylor expansion of y in x 1.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.539 * [taylor]: Taking taylor expansion of 2 in x 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.539 * [taylor]: Taking taylor expansion of y in x 1.541 * [taylor]: Taking taylor expansion of 1 in y 1.541 * [taylor]: Taking taylor expansion of 0 in y 1.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.543 * [taylor]: Taking taylor expansion of y in y 1.547 * [taylor]: Taking taylor expansion of 0 in y 1.548 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.548 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.548 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.548 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.548 * [taylor]: Taking taylor expansion of 2 in y 1.549 * [taylor]: Taking taylor expansion of y in y 1.549 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.549 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.549 * [taylor]: Taking taylor expansion of 2 in y 1.550 * [taylor]: Taking taylor expansion of y in y 1.561 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.561 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.561 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.561 * [taylor]: Taking taylor expansion of 2 in y 1.561 * [taylor]: Taking taylor expansion of 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 1.572 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.572 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.572 * [taylor]: Taking taylor expansion of -1 in y 1.572 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.572 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.572 * [taylor]: Taking taylor expansion of 2 in y 1.573 * [taylor]: Taking taylor expansion of y in y 1.573 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.573 * [taylor]: Taking taylor expansion of -1 in y 1.573 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.573 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.573 * [taylor]: Taking taylor expansion of 2 in y 1.574 * [taylor]: Taking taylor expansion of y in y 1.588 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.589 * [approximate]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 1.589 * [taylor]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 1.589 * [taylor]: Rewrote expression to (+ (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.589 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 1.589 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.589 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.589 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.589 * [taylor]: Taking taylor expansion of (* x x) in y 1.589 * [taylor]: Taking taylor expansion of x in y 1.589 * [taylor]: Taking taylor expansion of x in y 1.589 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.589 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.589 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.589 * [taylor]: Taking taylor expansion of 2 in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.590 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.590 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.590 * [taylor]: Taking taylor expansion of 2 in y 1.591 * [taylor]: Taking taylor expansion of y in y 1.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.595 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.595 * [taylor]: Taking taylor expansion of x in y 1.595 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.595 * [taylor]: Taking taylor expansion of 2 in y 1.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.595 * [taylor]: Taking taylor expansion of y in y 1.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.596 * [taylor]: Taking taylor expansion of y in y 1.596 * [taylor]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 1.596 * [taylor]: Rewrote expression to (+ (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.596 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.596 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.596 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.596 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.596 * [taylor]: Taking taylor expansion of (* x x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.596 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.596 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.596 * [taylor]: Taking taylor expansion of 2 in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.597 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.597 * [taylor]: Taking taylor expansion of 2 in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.602 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.602 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.602 * [taylor]: Taking taylor expansion of x in x 1.602 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.602 * [taylor]: Taking taylor expansion of 2 in x 1.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.602 * [taylor]: Taking taylor expansion of y in x 1.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.603 * [taylor]: Taking taylor expansion of y in x 1.603 * [taylor]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 1.604 * [taylor]: Rewrote expression to (+ (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.604 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.604 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.604 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.604 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.604 * [taylor]: Taking taylor expansion of (* x x) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.604 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.604 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.604 * [taylor]: Taking taylor expansion of 2 in x 1.604 * [taylor]: Taking taylor expansion of y in x 1.604 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.604 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.605 * [taylor]: Taking taylor expansion of 2 in x 1.605 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.610 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.610 * [taylor]: Taking taylor expansion of 2 in x 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.611 * [taylor]: Taking taylor expansion of y in x 1.612 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.612 * [taylor]: Taking taylor expansion of y in y 1.612 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.612 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.612 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.612 * [taylor]: Taking taylor expansion of 2 in y 1.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.613 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of 0 in y 1.628 * [taylor]: Taking taylor expansion of 1 in y 1.642 * [taylor]: Taking taylor expansion of 0 in y 1.658 * [taylor]: Taking taylor expansion of 0 in y 1.660 * [approximate]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.660 * [taylor]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.660 * [taylor]: Rewrote expression to (+ (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.660 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.660 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.660 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.660 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.660 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.660 * [taylor]: Taking taylor expansion of x in y 1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.660 * [taylor]: Taking taylor expansion of x in y 1.660 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.660 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.660 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.660 * [taylor]: Taking taylor expansion of 2 in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.662 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.662 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.662 * [taylor]: Taking taylor expansion of 2 in y 1.662 * [taylor]: Taking taylor expansion of y in y 1.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.667 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.668 * [taylor]: Taking taylor expansion of x in y 1.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.668 * [taylor]: Taking taylor expansion of 2 in y 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.668 * [taylor]: Taking taylor expansion of y in y 1.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.671 * [taylor]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.671 * [taylor]: Rewrote expression to (+ (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.671 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.671 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.671 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.671 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.672 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.672 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.672 * [taylor]: Taking taylor expansion of 2 in x 1.673 * [taylor]: Taking taylor expansion of y in x 1.673 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.673 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.673 * [taylor]: Taking taylor expansion of 2 in x 1.674 * [taylor]: Taking taylor expansion of y in x 1.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.677 * [taylor]: Taking taylor expansion of 2 in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.677 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.679 * [taylor]: Taking taylor expansion of y in x 1.679 * [taylor]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.679 * [taylor]: Rewrote expression to (+ (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.679 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.679 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.679 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.679 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.679 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.680 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.680 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.680 * [taylor]: Taking taylor expansion of 2 in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.681 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.681 * [taylor]: Taking taylor expansion of 2 in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.685 * [taylor]: Taking taylor expansion of 2 in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.685 * [taylor]: Taking taylor expansion of y in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.687 * [taylor]: Taking taylor expansion of y in x 1.687 * [taylor]: Taking taylor expansion of 1 in y 1.688 * [taylor]: Taking taylor expansion of 0 in y 1.701 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.701 * [taylor]: Taking taylor expansion of 1/2 in y 1.701 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.701 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.701 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.701 * [taylor]: Taking taylor expansion of 2 in y 1.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.702 * [taylor]: Taking taylor expansion of y in y 1.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.704 * [taylor]: Taking taylor expansion of 2 in y 1.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.704 * [taylor]: Taking taylor expansion of y in y 1.715 * [taylor]: Taking taylor expansion of 0 in y 1.732 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4))))) in y 1.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.732 * [taylor]: Taking taylor expansion of 1/2 in y 1.732 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.732 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.732 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.732 * [taylor]: Taking taylor expansion of 2 in y 1.733 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.733 * [taylor]: Taking taylor expansion of y in y 1.735 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.735 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.735 * [taylor]: Taking taylor expansion of 1/8 in y 1.735 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.735 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.735 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.735 * [taylor]: Taking taylor expansion of 2 in y 1.736 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.736 * [taylor]: Taking taylor expansion of y in y 1.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.739 * [taylor]: Taking taylor expansion of 1/2 in y 1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.739 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.739 * [taylor]: Taking taylor expansion of y in y 1.762 * [approximate]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.762 * [taylor]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.762 * [taylor]: Rewrote expression to (+ (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.762 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.762 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.762 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.762 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.762 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.762 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.762 * [taylor]: Taking taylor expansion of -1 in y 1.762 * [taylor]: Taking taylor expansion of x in y 1.763 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.763 * [taylor]: Taking taylor expansion of -1 in y 1.763 * [taylor]: Taking taylor expansion of x in y 1.763 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.763 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.763 * [taylor]: Taking taylor expansion of -1 in y 1.763 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.763 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.763 * [taylor]: Taking taylor expansion of 2 in y 1.763 * [taylor]: Taking taylor expansion of y in y 1.764 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.764 * [taylor]: Taking taylor expansion of -1 in y 1.764 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.764 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.764 * [taylor]: Taking taylor expansion of 2 in y 1.765 * [taylor]: Taking taylor expansion of y in y 1.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.779 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.779 * [taylor]: Taking taylor expansion of x in y 1.779 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.779 * [taylor]: Taking taylor expansion of 2 in y 1.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.780 * [taylor]: Taking taylor expansion of y in y 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.783 * [taylor]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.783 * [taylor]: Rewrote expression to (+ (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.783 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.783 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.783 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.783 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.784 * [taylor]: Taking taylor expansion of -1 in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.784 * [taylor]: Taking taylor expansion of -1 in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.784 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.785 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.785 * [taylor]: Taking taylor expansion of -1 in x 1.785 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.785 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.785 * [taylor]: Taking taylor expansion of 2 in x 1.785 * [taylor]: Taking taylor expansion of y in x 1.785 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.786 * [taylor]: Taking taylor expansion of -1 in x 1.786 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.786 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.786 * [taylor]: Taking taylor expansion of 2 in x 1.786 * [taylor]: Taking taylor expansion of y in x 1.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.790 * [taylor]: Taking taylor expansion of 2 in x 1.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.790 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.790 * [taylor]: Taking taylor expansion of y in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.792 * [taylor]: Taking taylor expansion of y in x 1.792 * [taylor]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.792 * [taylor]: Rewrote expression to (+ (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.792 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.792 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.792 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.792 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.792 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.792 * [taylor]: Taking taylor expansion of -1 in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.792 * [taylor]: Taking taylor expansion of -1 in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.793 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.793 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.793 * [taylor]: Taking taylor expansion of -1 in x 1.793 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.793 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.793 * [taylor]: Taking taylor expansion of 2 in x 1.793 * [taylor]: Taking taylor expansion of y in x 1.794 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.794 * [taylor]: Taking taylor expansion of -1 in x 1.794 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.794 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.794 * [taylor]: Taking taylor expansion of 2 in x 1.794 * [taylor]: Taking taylor expansion of y in x 1.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.798 * [taylor]: Taking taylor expansion of 2 in x 1.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.798 * [taylor]: Taking taylor expansion of y in x 1.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.800 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.800 * [taylor]: Taking taylor expansion of y in x 1.801 * [taylor]: Taking taylor expansion of 1 in y 1.802 * [taylor]: Taking taylor expansion of 0 in y 1.810 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.810 * [taylor]: Taking taylor expansion of 1/2 in y 1.810 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.810 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.810 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.810 * [taylor]: Taking taylor expansion of 2 in y 1.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.811 * [taylor]: Taking taylor expansion of y in y 1.813 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.813 * [taylor]: Taking taylor expansion of 2 in y 1.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.813 * [taylor]: Taking taylor expansion of y in y 1.826 * [taylor]: Taking taylor expansion of 0 in y 1.844 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4))))) in y 1.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.845 * [taylor]: Taking taylor expansion of 1/2 in y 1.845 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.845 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.845 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.845 * [taylor]: Taking taylor expansion of 2 in y 1.845 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.845 * [taylor]: Taking taylor expansion of y in y 1.847 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.847 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.847 * [taylor]: Taking taylor expansion of 1/8 in y 1.847 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.847 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.848 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.848 * [taylor]: Taking taylor expansion of 2 in y 1.848 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.848 * [taylor]: Taking taylor expansion of y in y 1.852 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.852 * [taylor]: Taking taylor expansion of 1/2 in y 1.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.852 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.852 * [taylor]: Taking taylor expansion of y in y 1.880 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.880 * [approximate]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in (x y) around 0 1.880 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.880 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.880 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.880 * [taylor]: Taking taylor expansion of (* x x) in y 1.880 * [taylor]: Taking taylor expansion of x in y 1.880 * [taylor]: Taking taylor expansion of x in y 1.880 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.880 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.880 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.881 * [taylor]: Taking taylor expansion of 2 in y 1.881 * [taylor]: Taking taylor expansion of y in y 1.881 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.881 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.881 * [taylor]: Taking taylor expansion of 2 in y 1.882 * [taylor]: Taking taylor expansion of y in y 1.886 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.886 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.886 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.886 * [taylor]: Taking taylor expansion of (* x x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.886 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.886 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.886 * [taylor]: Taking taylor expansion of 2 in x 1.887 * [taylor]: Taking taylor expansion of y in x 1.887 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.887 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.887 * [taylor]: Taking taylor expansion of 2 in x 1.887 * [taylor]: Taking taylor expansion of y in x 1.892 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.892 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.892 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.892 * [taylor]: Taking taylor expansion of (* x x) in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.892 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.893 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.893 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.893 * [taylor]: Taking taylor expansion of 2 in x 1.893 * [taylor]: Taking taylor expansion of y in x 1.893 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.893 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.893 * [taylor]: Taking taylor expansion of 2 in x 1.894 * [taylor]: Taking taylor expansion of y in x 1.899 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.899 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.899 * [taylor]: Taking taylor expansion of 2 in y 1.899 * [taylor]: Taking taylor expansion of y in y 1.900 * [taylor]: Taking taylor expansion of 0 in y 1.905 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.906 * [taylor]: Taking taylor expansion of 1/2 in y 1.906 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.906 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.906 * [taylor]: Taking taylor expansion of 2 in y 1.906 * [taylor]: Taking taylor expansion of y in y 1.917 * [taylor]: Taking taylor expansion of 0 in y 1.919 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in (x y) around 0 1.919 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.919 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.919 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.919 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.919 * [taylor]: Taking taylor expansion of x in y 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.919 * [taylor]: Taking taylor expansion of x in y 1.920 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.920 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.920 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.920 * [taylor]: Taking taylor expansion of 2 in y 1.920 * [taylor]: Taking taylor expansion of y in y 1.921 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.921 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.921 * [taylor]: Taking taylor expansion of 2 in y 1.921 * [taylor]: Taking taylor expansion of y in y 1.927 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.927 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.927 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.928 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.928 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.928 * [taylor]: Taking taylor expansion of 2 in x 1.928 * [taylor]: Taking taylor expansion of y in x 1.929 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.929 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.929 * [taylor]: Taking taylor expansion of 2 in x 1.929 * [taylor]: Taking taylor expansion of y in x 1.938 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.938 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.938 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.938 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.939 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.939 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.939 * [taylor]: Taking taylor expansion of 2 in x 1.940 * [taylor]: Taking taylor expansion of y in x 1.940 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.940 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.940 * [taylor]: Taking taylor expansion of 2 in x 1.941 * [taylor]: Taking taylor expansion of y in x 1.943 * [taylor]: Taking taylor expansion of 1 in y 1.943 * [taylor]: Taking taylor expansion of 0 in y 1.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.948 * [taylor]: Taking taylor expansion of 1/2 in y 1.948 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.948 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.948 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.948 * [taylor]: Taking taylor expansion of 2 in y 1.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.948 * [taylor]: Taking taylor expansion of y in y 1.956 * [taylor]: Taking taylor expansion of 0 in y 1.960 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in (x y) around 0 1.960 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.960 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.960 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.960 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.960 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.960 * [taylor]: Taking taylor expansion of -1 in y 1.960 * [taylor]: Taking taylor expansion of x in y 1.960 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.960 * [taylor]: Taking taylor expansion of -1 in y 1.960 * [taylor]: Taking taylor expansion of x in y 1.960 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.960 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.960 * [taylor]: Taking taylor expansion of -1 in y 1.960 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.960 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.960 * [taylor]: Taking taylor expansion of 2 in y 1.961 * [taylor]: Taking taylor expansion of y in y 1.962 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.962 * [taylor]: Taking taylor expansion of -1 in y 1.962 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.962 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.962 * [taylor]: Taking taylor expansion of 2 in y 1.962 * [taylor]: Taking taylor expansion of y in y 1.970 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.970 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.970 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.970 * [taylor]: Taking taylor expansion of -1 in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.971 * [taylor]: Taking taylor expansion of -1 in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.971 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.971 * [taylor]: Taking taylor expansion of -1 in x 1.971 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.971 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.971 * [taylor]: Taking taylor expansion of 2 in x 1.972 * [taylor]: Taking taylor expansion of y in x 1.972 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.972 * [taylor]: Taking taylor expansion of -1 in x 1.972 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.972 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.972 * [taylor]: Taking taylor expansion of 2 in x 1.973 * [taylor]: Taking taylor expansion of y in x 1.976 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.976 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.976 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.976 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.976 * [taylor]: Taking taylor expansion of -1 in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.976 * [taylor]: Taking taylor expansion of -1 in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.977 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.977 * [taylor]: Taking taylor expansion of -1 in x 1.977 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.977 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.977 * [taylor]: Taking taylor expansion of 2 in x 1.977 * [taylor]: Taking taylor expansion of y in x 1.978 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.978 * [taylor]: Taking taylor expansion of -1 in x 1.978 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.978 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.978 * [taylor]: Taking taylor expansion of 2 in x 1.978 * [taylor]: Taking taylor expansion of y in x 1.981 * [taylor]: Taking taylor expansion of 1 in y 1.981 * [taylor]: Taking taylor expansion of 0 in y 1.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.986 * [taylor]: Taking taylor expansion of 1/2 in y 1.986 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.986 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.986 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.986 * [taylor]: Taking taylor expansion of 2 in y 1.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.987 * [taylor]: Taking taylor expansion of y in y 1.995 * [taylor]: Taking taylor expansion of 0 in y 1.999 * * * [progress]: simplifying candidates 1.999 * [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 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 (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (hypot x (* (sqrt 2) y))) (log1p (hypot x (* (sqrt 2) y))) (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) (log (hypot x (* (sqrt 2) y))) (exp (hypot x (* (sqrt 2) y))) (* (cbrt (hypot x (* (sqrt 2) y))) (cbrt (hypot x (* (sqrt 2) y)))) (cbrt (hypot x (* (sqrt 2) y))) (* (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))) (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) (* (sqrt 2) y) x (* -1 x) (* (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) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2))))) (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2))))) (* (sqrt 2) y) x (* -1 x) 2.004 * * [simplify]: iteration 0 : 218 enodes (cost 503 ) 2.009 * * [simplify]: iteration 1 : 854 enodes (cost 445 ) 2.030 * * [simplify]: iteration 2 : 5001 enodes (cost 404 ) 2.033 * [simplify]: Simplified to: (expm1 (hypot x (* (sqrt 2) y))) (log1p (hypot x (* (sqrt 2) y))) (log (hypot x (* (sqrt 2) y))) (exp (hypot x (* (sqrt 2) y))) (* (cbrt (hypot x (* (sqrt 2) y))) (cbrt (hypot x (* (sqrt 2) y)))) (cbrt (hypot x (* (sqrt 2) 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 (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) 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 (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (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 (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (pow (exp (* (sqrt 1) (hypot x (* (sqrt 2) y)))) (hypot x (* (sqrt 2) y))) (exp (pow y 2))) (* (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (pow (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) 3) (sqrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (hypot x (* (sqrt 2) y))) (log1p (hypot x (* (sqrt 2) y))) (fma y y (fma x x (* y y))) (log (hypot x (* (sqrt 2) y))) (exp (hypot x (* (sqrt 2) y))) (* (cbrt (hypot x (* (sqrt 2) y))) (cbrt (hypot x (* (sqrt 2) y)))) (cbrt (hypot x (* (sqrt 2) y))) (pow (hypot x (* (sqrt 2) y)) 3) (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (fma x x (* 3 (pow y 2))) (fma x x (* 3 (pow y 2))) (fma x x (* 3 (pow y 2))) (* (sqrt 2) y) x (* -1 x) 2.033 * * * [progress]: adding candidates to table 2.280 * [progress]: [Phase 3 of 3] Extracting. 2.280 * * [regime]: Finding splitpoints for: (# # # # # #) 2.282 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 2.282 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.303 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.328 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.352 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.378 * * * [regime]: Found split indices: #