17.763 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.036 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.038 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.039 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.041 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.043 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.045 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.047 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.049 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.052 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.055 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.061 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.087 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.314 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.315 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.318 * * [progress]: iteration 1 / 4 0.318 * * * [progress]: picking best candidate 0.320 * * * * [pick]: Picked # 0.320 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.325 * * * [progress]: generating series expansions 0.325 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.326 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.326 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.326 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.326 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.326 * [taylor]: Taking taylor expansion of 3 in x 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.326 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.326 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of 3 in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.326 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.326 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of 3 in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [taylor]: Taking taylor expansion of 3 in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.332 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.333 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.333 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.333 * [taylor]: Taking taylor expansion of 3 in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.333 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.333 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.333 * [taylor]: Taking taylor expansion of 3 in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.334 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.334 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.334 * [taylor]: Taking taylor expansion of 3 in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of 3 in x 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 0 in x 0.344 * [taylor]: Taking taylor expansion of 0 in x 0.346 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.346 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.346 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.346 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.346 * [taylor]: Taking taylor expansion of 3 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.347 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.347 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.347 * [taylor]: Taking taylor expansion of 3 in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.348 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.348 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.348 * [taylor]: Taking taylor expansion of 3 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of 3 in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of 0 in x 0.361 * [taylor]: Taking taylor expansion of 0 in x 0.362 * * * [progress]: simplifying candidates 0.363 * [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))) 0.366 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.367 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.370 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.375 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.417 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.418 * [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)) 0.418 * * * [progress]: adding candidates to table 0.441 * * [progress]: iteration 2 / 4 0.441 * * * [progress]: picking best candidate 0.446 * * * * [pick]: Picked # 0.446 * * * [progress]: localizing error 0.453 * * * [progress]: generating rewritten candidates 0.453 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.508 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.511 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.525 * * * [progress]: generating series expansions 0.525 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.525 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of 3 in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.526 * [taylor]: Taking taylor expansion of 3 in x 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.526 * [taylor]: Taking taylor expansion of 3 in x 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.526 * [taylor]: Taking taylor expansion of 3 in y 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [taylor]: Taking taylor expansion of 1 in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.535 * [taylor]: Taking taylor expansion of x in y 0.535 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.535 * [taylor]: Taking taylor expansion of 3 in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.536 * [taylor]: Taking taylor expansion of 3 in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.537 * [taylor]: Taking taylor expansion of 3 in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of 1 in y 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.540 * [taylor]: Taking taylor expansion of 3 in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.549 * [taylor]: Taking taylor expansion of 3 in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of 3 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of 3 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of 1 in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.553 * [taylor]: Taking taylor expansion of 3 in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.564 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.564 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.564 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [taylor]: Taking taylor expansion of 1 in y 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.568 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.569 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of 1 in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.582 * [taylor]: Taking taylor expansion of 1 in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.590 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.590 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.591 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.591 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.591 * [taylor]: Taking taylor expansion of 2 in y 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.591 * [taylor]: Taking taylor expansion of 2 in x 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.591 * [taylor]: Taking taylor expansion of 2 in x 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.591 * [taylor]: Taking taylor expansion of 2 in y 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [taylor]: Taking taylor expansion of 1 in y 0.595 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.600 * [taylor]: Taking taylor expansion of 2 in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.601 * [taylor]: Taking taylor expansion of 2 in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.602 * [taylor]: Taking taylor expansion of 2 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of 1 in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.604 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.604 * [taylor]: Taking taylor expansion of 2 in y 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.613 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.613 * [taylor]: Taking taylor expansion of 2 in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.614 * [taylor]: Taking taylor expansion of 2 in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.615 * [taylor]: Taking taylor expansion of 2 in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.615 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of 1 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.617 * [taylor]: Taking taylor expansion of 2 in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.625 * * * [progress]: simplifying candidates 0.626 * [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))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (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) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.631 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.636 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.656 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.755 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.757 * [simplify]: Simplified to: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3)) (+ (pow y 4) (* (fma x x (fma y y (* y y))) (fma x x (* y y)))) (* (fma x x (* y y)) (fma y y (fma x x (fma y y (* y y))))) (fma x x (* y y)) (fma y y (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (exp (+ (fma x x (* y y)) (pow y 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* y y)) 3)) (+ (* (pow x 2) (fma x x (* y y))) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (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 (* y y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) 0.757 * * * [progress]: adding candidates to table 0.870 * * [progress]: iteration 3 / 4 0.870 * * * [progress]: picking best candidate 0.877 * * * * [pick]: Picked # 0.877 * * * [progress]: localizing error 0.885 * * * [progress]: generating rewritten candidates 0.885 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.899 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.913 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.914 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.917 * * * [progress]: generating series expansions 0.917 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 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 0.919 * [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 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.919 * [taylor]: Taking taylor expansion of 2 in x 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.920 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.920 * [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 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.928 * [taylor]: Taking taylor expansion of 1/2 in y 0.928 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.928 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.928 * [taylor]: Taking taylor expansion of 2 in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.939 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.939 * [taylor]: Taking taylor expansion of x in y 0.939 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.939 * [taylor]: Taking taylor expansion of 2 in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.942 * [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 (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.945 * [taylor]: Taking taylor expansion of 2 in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of 1 in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.954 * [taylor]: Taking taylor expansion of 2 in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (* 2 (/ 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 (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.960 * [taylor]: Taking taylor expansion of 2 in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.960 * [taylor]: Taking taylor expansion of y in x 0.962 * [taylor]: Taking taylor expansion of 1 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.969 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.969 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.969 * [taylor]: Taking taylor expansion of x in y 0.969 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.969 * [taylor]: Taking taylor expansion of 2 in y 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.970 * [taylor]: Taking taylor expansion of (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 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.970 * [taylor]: Taking taylor expansion of 2 in x 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.971 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.971 * [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 0.972 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.972 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.972 * [taylor]: Taking taylor expansion of 2 in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.976 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.976 * [taylor]: Taking taylor expansion of 1/2 in y 0.976 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.976 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.976 * [taylor]: Taking taylor expansion of 2 in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.987 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.987 * [taylor]: Taking taylor expansion of 2 in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.990 * [taylor]: Taking taylor expansion of 2 in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.990 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.993 * [taylor]: Taking taylor expansion of 2 in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of 1 in y 0.995 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of 0 in y 1.004 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.004 * [taylor]: Taking taylor expansion of x in y 1.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.005 * [taylor]: Taking taylor expansion of 2 in y 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.005 * [taylor]: Taking taylor expansion of y in y 1.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.008 * [taylor]: Taking taylor expansion of 2 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.011 * [taylor]: Taking taylor expansion of 2 in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.011 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of 1 in y 1.013 * [taylor]: Taking taylor expansion of 0 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 0 in y 1.019 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.020 * [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 1.020 * [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 1.020 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.020 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 1.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.020 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.020 * [taylor]: Taking taylor expansion of x in y 1.020 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.020 * [taylor]: Taking taylor expansion of 2 in y 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.021 * [taylor]: Taking taylor expansion of x in y 1.021 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.021 * [taylor]: Taking taylor expansion of 2 in y 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.021 * [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 1.021 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.021 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.021 * [taylor]: Taking taylor expansion of 2 in x 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 1.023 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.023 * [taylor]: Taking taylor expansion of 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 1.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.024 * [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 1.024 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.024 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.024 * [taylor]: Taking taylor expansion of 2 in x 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 (pow y 2)) in x 1.025 * [taylor]: Taking taylor expansion of 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 1.026 * [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 (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.027 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.027 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.027 * [taylor]: Taking taylor expansion of 2 in y 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [taylor]: Taking taylor expansion of 1 in y 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.058 * [taylor]: Taking taylor expansion of 0 in y 1.059 * [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 1.059 * [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 1.059 * [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))) 1.059 * [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 1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.059 * [taylor]: Taking taylor expansion of x in y 1.060 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.060 * [taylor]: Taking taylor expansion of 2 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 1.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.063 * [taylor]: Taking taylor expansion of x in y 1.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.063 * [taylor]: Taking taylor expansion of 2 in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.066 * [taylor]: Taking taylor expansion of y in y 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 1.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.067 * [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 1.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.070 * [taylor]: Taking taylor expansion of 2 in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.072 * [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 1.072 * [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))) 1.072 * [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 1.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.072 * [taylor]: Taking taylor expansion of 2 in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.073 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.078 * [taylor]: Taking taylor expansion of 2 in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.078 * [taylor]: Taking taylor expansion of y in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.080 * [taylor]: Taking taylor expansion of y in x 1.080 * [taylor]: Taking taylor expansion of 1 in y 1.081 * [taylor]: Taking taylor expansion of 0 in y 1.085 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.085 * [taylor]: Taking taylor expansion of 3 in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.092 * [taylor]: Taking taylor expansion of 0 in y 1.101 * [taylor]: Taking taylor expansion of 0 in y 1.103 * [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 1.103 * [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 1.103 * [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))) 1.103 * [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 1.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.103 * [taylor]: Taking taylor expansion of x in y 1.103 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.103 * [taylor]: Taking taylor expansion of 2 in y 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.106 * [taylor]: Taking taylor expansion of x in y 1.106 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.106 * [taylor]: Taking taylor expansion of 2 in y 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.110 * [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 1.110 * [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))) 1.110 * [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 1.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.111 * [taylor]: Taking taylor expansion of 2 in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.111 * [taylor]: Taking taylor expansion of y in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.113 * [taylor]: Taking taylor expansion of 2 in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.113 * [taylor]: Taking taylor expansion of y in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.115 * [taylor]: Taking taylor expansion of y in x 1.115 * [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 1.115 * [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))) 1.115 * [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 1.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.116 * [taylor]: Taking taylor expansion of 2 in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.119 * [taylor]: Taking taylor expansion of 2 in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.119 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.121 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of 1 in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.126 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.126 * [taylor]: Taking taylor expansion of 3 in y 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.133 * [taylor]: Taking taylor expansion of 0 in y 1.142 * [taylor]: Taking taylor expansion of 0 in y 1.143 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.143 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.144 * [taylor]: Taking taylor expansion of x in y 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.144 * [taylor]: Taking taylor expansion of y in y 1.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.144 * [taylor]: Taking taylor expansion of y in y 1.144 * [taylor]: Taking taylor expansion of 0 in y 1.145 * [taylor]: Taking taylor expansion of 1 in y 1.146 * [taylor]: Taking taylor expansion of 0 in y 1.148 * [taylor]: Taking taylor expansion of 0 in y 1.149 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.149 * [taylor]: Taking taylor expansion of x in y 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.150 * [taylor]: Taking taylor expansion of y in x 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.153 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of 1 in y 1.155 * [taylor]: Taking taylor expansion of 0 in y 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.156 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.160 * [taylor]: Taking taylor expansion of 0 in y 1.162 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.162 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.162 * [taylor]: Taking taylor expansion of x in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.162 * [taylor]: Taking taylor expansion of y in y 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.163 * [taylor]: Taking taylor expansion of y in x 1.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.164 * [taylor]: Taking taylor expansion of 1 in y 1.165 * [taylor]: Taking taylor expansion of 0 in y 1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.166 * [taylor]: Taking taylor expansion of y in y 1.168 * [taylor]: Taking taylor expansion of 0 in y 1.171 * [taylor]: Taking taylor expansion of 0 in y 1.173 * * * [progress]: simplifying candidates 1.174 * [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))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* (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) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.179 * * [simplify]: iteration 0 : 200 enodes (cost 583 ) 1.183 * * [simplify]: iteration 1 : 838 enodes (cost 494 ) 1.196 * * [simplify]: iteration 2 : 2618 enodes (cost 468 ) 1.252 * * [simplify]: iteration 3 : 5001 enodes (cost 441 ) 1.255 * [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)))) 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))))) (fabs (* x (hypot x (* (sqrt 2) y)))) (fabs x) 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)))) 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))))) (fabs (* x (hypot x (* (sqrt 2) y)))) (fabs x) 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 y y (fma x x (* 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))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (* (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 (* y y)) (fma x x (* y y)) (fma x x (* y y)) 1.255 * * * [progress]: adding candidates to table 1.447 * * [progress]: iteration 4 / 4 1.447 * * * [progress]: picking best candidate 1.462 * * * * [pick]: Picked # 1.462 * * * [progress]: localizing error 1.476 * * * [progress]: generating rewritten candidates 1.476 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.490 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.495 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.495 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.499 * * * [progress]: generating series expansions 1.499 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.499 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.499 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.499 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.499 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.499 * [taylor]: Taking taylor expansion of x in y 1.499 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.499 * [taylor]: Taking taylor expansion of 2 in y 1.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.499 * [taylor]: Taking taylor expansion of y in y 1.500 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.500 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.500 * [taylor]: Taking taylor expansion of 2 in x 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.500 * [taylor]: Taking taylor expansion of y in x 1.501 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.501 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.501 * [taylor]: Taking taylor expansion of 2 in x 1.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.501 * [taylor]: Taking taylor expansion of y in x 1.503 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.503 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.503 * [taylor]: Taking taylor expansion of 2 in y 1.503 * [taylor]: Taking taylor expansion of y in y 1.504 * [taylor]: Taking taylor expansion of 0 in y 1.507 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.507 * [taylor]: Taking taylor expansion of 1/2 in y 1.507 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.507 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.507 * [taylor]: Taking taylor expansion of 2 in y 1.508 * [taylor]: Taking taylor expansion of y in y 1.516 * [taylor]: Taking taylor expansion of 0 in y 1.518 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.518 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.518 * [taylor]: Taking taylor expansion of x in y 1.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.519 * [taylor]: Taking taylor expansion of 2 in y 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.519 * [taylor]: Taking taylor expansion of y in y 1.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.525 * [taylor]: Taking taylor expansion of 2 in x 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.525 * [taylor]: Taking taylor expansion of y in x 1.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.528 * [taylor]: Taking taylor expansion of 2 in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.528 * [taylor]: Taking taylor expansion of y in x 1.530 * [taylor]: Taking taylor expansion of 1 in y 1.530 * [taylor]: Taking taylor expansion of 0 in y 1.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.532 * [taylor]: Taking taylor expansion of y in y 1.536 * [taylor]: Taking taylor expansion of 0 in y 1.537 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.537 * [taylor]: Taking taylor expansion of x in y 1.537 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.537 * [taylor]: Taking taylor expansion of 2 in y 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.541 * [taylor]: Taking taylor expansion of 2 in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.541 * [taylor]: Taking taylor expansion of y in x 1.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.544 * [taylor]: Taking taylor expansion of 2 in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.544 * [taylor]: Taking taylor expansion of y in x 1.546 * [taylor]: Taking taylor expansion of 1 in y 1.546 * [taylor]: Taking taylor expansion of 0 in y 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.548 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of 0 in y 1.553 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 1.553 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.553 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.553 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.553 * [taylor]: Taking taylor expansion of 2 in y 1.554 * [taylor]: Taking taylor expansion of y in y 1.554 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.554 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.554 * [taylor]: Taking taylor expansion of 2 in y 1.554 * [taylor]: Taking taylor expansion of y in y 1.566 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.566 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.566 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.566 * [taylor]: Taking taylor expansion of 2 in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.567 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.567 * [taylor]: Taking taylor expansion of 2 in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.576 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.576 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.576 * [taylor]: Taking taylor expansion of -1 in y 1.576 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.576 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.576 * [taylor]: Taking taylor expansion of 2 in y 1.577 * [taylor]: Taking taylor expansion of y in y 1.577 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.577 * [taylor]: Taking taylor expansion of -1 in y 1.578 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.578 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.578 * [taylor]: Taking taylor expansion of 2 in y 1.578 * [taylor]: Taking taylor expansion of y in y 1.591 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.592 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in (x y) around 0 1.592 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in y 1.592 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.592 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in y 1.592 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.592 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.592 * [taylor]: Taking taylor expansion of x in y 1.592 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.592 * [taylor]: Taking taylor expansion of 2 in y 1.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.592 * [taylor]: Taking taylor expansion of y in y 1.593 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.593 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.593 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.593 * [taylor]: Taking taylor expansion of (* x x) in y 1.593 * [taylor]: Taking taylor expansion of x in y 1.593 * [taylor]: Taking taylor expansion of x in y 1.593 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.593 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.593 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.593 * [taylor]: Taking taylor expansion of 2 in y 1.594 * [taylor]: Taking taylor expansion of y in y 1.594 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.594 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.594 * [taylor]: Taking taylor expansion of 2 in y 1.595 * [taylor]: Taking taylor expansion of y in y 1.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.599 * [taylor]: Taking taylor expansion of y in y 1.599 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in x 1.599 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.599 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in x 1.599 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.599 * [taylor]: Taking taylor expansion of 2 in x 1.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.599 * [taylor]: Taking taylor expansion of y in x 1.603 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.603 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.603 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.603 * [taylor]: Taking taylor expansion of (* x x) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.603 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.603 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.603 * [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 1.604 * [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 (pow y 2) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in x 1.610 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.610 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) 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 (hypot x (* (sqrt 2) y)) in x 1.611 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.611 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.611 * [taylor]: Taking taylor expansion of (* x x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.611 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.611 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.611 * [taylor]: Taking taylor expansion of 2 in x 1.612 * [taylor]: Taking taylor expansion of y in x 1.612 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.612 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.612 * [taylor]: Taking taylor expansion of 2 in x 1.613 * [taylor]: Taking taylor expansion of y in x 1.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.618 * [taylor]: Taking taylor expansion of y in x 1.619 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.619 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.619 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.619 * [taylor]: Taking taylor expansion of 2 in y 1.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.620 * [taylor]: Taking taylor expansion of y in y 1.621 * [taylor]: Taking taylor expansion of 0 in y 1.629 * [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 (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in (x y) around 0 1.660 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in y 1.660 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.660 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.660 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.660 * [taylor]: Taking taylor expansion of x in y 1.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.660 * [taylor]: Taking taylor expansion of 2 in y 1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.660 * [taylor]: Taking taylor expansion of y in y 1.663 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.663 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.663 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.663 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.663 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.663 * [taylor]: Taking taylor expansion of x in y 1.663 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.663 * [taylor]: Taking taylor expansion of x in y 1.663 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.663 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.663 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.663 * [taylor]: Taking taylor expansion of 2 in y 1.664 * [taylor]: Taking taylor expansion of y in y 1.665 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.665 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.665 * [taylor]: Taking taylor expansion of 2 in y 1.665 * [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 (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in x 1.671 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.671 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.672 * [taylor]: Taking taylor expansion of 2 in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.672 * [taylor]: Taking taylor expansion of y in x 1.674 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.674 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.674 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.675 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.675 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.675 * [taylor]: Taking taylor expansion of 2 in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.676 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.676 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.676 * [taylor]: Taking taylor expansion of 2 in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.684 * [taylor]: Taking taylor expansion of y in x 1.684 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y)) (/ 1 (pow y 2))) in x 1.684 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.684 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) 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 (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.687 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.687 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.687 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.687 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.687 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.687 * [taylor]: Taking taylor expansion of 2 in x 1.688 * [taylor]: Taking taylor expansion of y in x 1.688 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.688 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.688 * [taylor]: Taking taylor expansion of 2 in x 1.689 * [taylor]: Taking taylor expansion of y in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.692 * [taylor]: Taking taylor expansion of y in x 1.692 * [taylor]: Taking taylor expansion of 1 in y 1.693 * [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 1.716 * [taylor]: Taking taylor expansion of 0 in y 1.733 * [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 1.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.733 * [taylor]: Taking taylor expansion of 1/2 in y 1.733 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.733 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.733 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.733 * [taylor]: Taking taylor expansion of 2 in y 1.734 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.734 * [taylor]: Taking taylor expansion of y in y 1.736 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.736 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.736 * [taylor]: Taking taylor expansion of 1/8 in y 1.736 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.736 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.736 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.736 * [taylor]: Taking taylor expansion of 2 in y 1.737 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.737 * [taylor]: Taking taylor expansion of y in y 1.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.741 * [taylor]: Taking taylor expansion of 1/2 in y 1.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.741 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.741 * [taylor]: Taking taylor expansion of y in y 1.769 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in (x y) around 0 1.769 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in y 1.769 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) (/ 1 (pow y 2))) 1.769 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 1.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.769 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.769 * [taylor]: Taking taylor expansion of x in y 1.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.769 * [taylor]: Taking taylor expansion of 2 in y 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.769 * [taylor]: Taking taylor expansion of y in y 1.772 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.772 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.772 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.772 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.772 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.772 * [taylor]: Taking taylor expansion of -1 in y 1.772 * [taylor]: Taking taylor expansion of x in y 1.772 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.772 * [taylor]: Taking taylor expansion of -1 in y 1.772 * [taylor]: Taking taylor expansion of x in y 1.772 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.772 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.772 * [taylor]: Taking taylor expansion of -1 in y 1.773 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.773 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.773 * [taylor]: Taking taylor expansion of 2 in y 1.773 * [taylor]: Taking taylor expansion of y in y 1.774 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.774 * [taylor]: Taking taylor expansion of -1 in y 1.774 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.774 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.774 * [taylor]: Taking taylor expansion of 2 in y 1.774 * [taylor]: Taking taylor expansion of y in y 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.782 * [taylor]: Taking taylor expansion of y in y 1.783 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in x 1.783 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) (/ 1 (pow y 2))) 1.783 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.784 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.784 * [taylor]: Taking taylor expansion of 2 in x 1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.784 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.784 * [taylor]: Taking taylor expansion of y in x 1.786 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.786 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.786 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.786 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.786 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.786 * [taylor]: Taking taylor expansion of -1 in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.786 * [taylor]: Taking taylor expansion of -1 in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.787 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.787 * [taylor]: Taking taylor expansion of -1 in x 1.787 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.787 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.787 * [taylor]: Taking taylor expansion of 2 in x 1.787 * [taylor]: Taking taylor expansion of y in x 1.787 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.788 * [taylor]: Taking taylor expansion of -1 in x 1.788 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.788 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.788 * [taylor]: Taking taylor expansion of 2 in x 1.788 * [taylor]: Taking taylor expansion of y in x 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.791 * [taylor]: Taking taylor expansion of y in x 1.791 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in x 1.791 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) (/ 1 (pow y 2))) 1.791 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.792 * [taylor]: Taking taylor expansion of 2 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 1.794 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.794 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.794 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.794 * [taylor]: Taking taylor expansion of -1 in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.795 * [taylor]: Taking taylor expansion of -1 in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.795 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.795 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.795 * [taylor]: Taking taylor expansion of -1 in x 1.795 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.795 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.795 * [taylor]: Taking taylor expansion of 2 in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.796 * [taylor]: Taking taylor expansion of -1 in x 1.796 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.796 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.796 * [taylor]: Taking taylor expansion of 2 in x 1.797 * [taylor]: Taking taylor expansion of y in x 1.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.799 * [taylor]: Taking taylor expansion of y in x 1.800 * [taylor]: Taking taylor expansion of 1 in y 1.801 * [taylor]: Taking taylor expansion of 0 in y 1.809 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.809 * [taylor]: Taking taylor expansion of 1/2 in y 1.809 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.809 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.809 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.809 * [taylor]: Taking taylor expansion of 2 in y 1.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.810 * [taylor]: Taking taylor expansion of y in y 1.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.812 * [taylor]: Taking taylor expansion of 2 in y 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.812 * [taylor]: Taking taylor expansion of y in y 1.826 * [taylor]: Taking taylor expansion of 0 in y 1.851 * [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 1.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.851 * [taylor]: Taking taylor expansion of 1/2 in y 1.851 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.851 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.851 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.851 * [taylor]: Taking taylor expansion of 2 in y 1.852 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.852 * [taylor]: Taking taylor expansion of y in y 1.854 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.854 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.854 * [taylor]: Taking taylor expansion of 1/8 in y 1.854 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.854 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.854 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.854 * [taylor]: Taking taylor expansion of 2 in y 1.855 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.855 * [taylor]: Taking taylor expansion of y in y 1.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.858 * [taylor]: Taking taylor expansion of 1/2 in y 1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.858 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.858 * [taylor]: Taking taylor expansion of y in y 1.881 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.881 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.881 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.881 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.881 * [taylor]: Taking taylor expansion of x in y 1.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.881 * [taylor]: Taking taylor expansion of y in y 1.881 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.881 * [taylor]: Taking taylor expansion of y in x 1.881 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.881 * [taylor]: Taking taylor expansion of y in x 1.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.881 * [taylor]: Taking taylor expansion of y in y 1.882 * [taylor]: Taking taylor expansion of 0 in y 1.882 * [taylor]: Taking taylor expansion of 1 in y 1.884 * [taylor]: Taking taylor expansion of 0 in y 1.886 * [taylor]: Taking taylor expansion of 0 in y 1.886 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.886 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.886 * [taylor]: Taking taylor expansion of x in y 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.886 * [taylor]: Taking taylor expansion of y in y 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.887 * [taylor]: Taking taylor expansion of y in x 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.888 * [taylor]: Taking taylor expansion of y in x 1.888 * [taylor]: Taking taylor expansion of 1 in y 1.889 * [taylor]: Taking taylor expansion of 0 in y 1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.891 * [taylor]: Taking taylor expansion of y in y 1.892 * [taylor]: Taking taylor expansion of 0 in y 1.895 * [taylor]: Taking taylor expansion of 0 in y 1.897 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.897 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.897 * [taylor]: Taking taylor expansion of x in y 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.897 * [taylor]: Taking taylor expansion of y in y 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.898 * [taylor]: Taking taylor expansion of y in x 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.899 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.899 * [taylor]: Taking taylor expansion of y in x 1.899 * [taylor]: Taking taylor expansion of 1 in y 1.900 * [taylor]: Taking taylor expansion of 0 in y 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.901 * [taylor]: Taking taylor expansion of y in y 1.903 * [taylor]: Taking taylor expansion of 0 in y 1.906 * [taylor]: Taking taylor expansion of 0 in y 1.907 * * * [progress]: simplifying candidates 1.908 * [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 (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* (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))))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.913 * * [simplify]: iteration 0 : 272 enodes (cost 502 ) 1.920 * * [simplify]: iteration 1 : 1178 enodes (cost 449 ) 1.945 * * [simplify]: iteration 2 : 5001 enodes (cost 430 ) 1.948 * [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 (hypot x (* (sqrt 2) y))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 (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 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 (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (fma y y (fma x x (* y y))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (* (pow (exp (hypot x (* (sqrt 2) y))) (hypot x (* (sqrt 2) y))) (exp (pow y 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (pow (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (hypot x (* (sqrt 2) y)) (pow y 2)) 3) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* 1 (hypot x (* (sqrt 2) y))) (* y y))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (pow y 4) (pow y 2) (pow x 6)) (fma (pow y 2) (- (pow y 2) (pow x 2)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y 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))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 1.948 * * * [progress]: adding candidates to table 2.370 * [progress]: [Phase 3 of 3] Extracting. 2.370 * * [regime]: Finding splitpoints for: (# # # # # #) 2.371 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 2.372 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.393 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.417 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 2.441 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.467 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.492 * * * [regime]: Found split indices: #