17.286 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [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 ) 0.040 * * [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 ) 0.050 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.052 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.056 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.062 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.091 * * [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)) 0.317 * * [progress]: iteration 1 / 4 0.317 * * * [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 0.332 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.332 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.332 * [taylor]: Taking taylor expansion of 3 in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [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 0.334 * [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 0.343 * [taylor]: Taking taylor expansion of 0 in x 0.347 * [taylor]: Taking taylor expansion of 0 in x 0.348 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.348 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 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 x 0.348 * [taylor]: Taking taylor expansion of 3 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.349 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.349 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of 3 in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.350 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.350 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of 3 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of 3 in x 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 0 in x 0.359 * [taylor]: Taking taylor expansion of 0 in x 0.361 * * * [progress]: simplifying candidates 0.361 * [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))) 0.364 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.366 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.368 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.373 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.411 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.412 * [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)) 0.412 * * * [progress]: adding candidates to table 0.434 * * [progress]: iteration 2 / 4 0.434 * * * [progress]: picking best candidate 0.439 * * * * [pick]: Picked # 0.439 * * * [progress]: localizing error 0.445 * * * [progress]: generating rewritten candidates 0.445 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.503 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.517 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.521 * * * [progress]: generating series expansions 0.521 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.521 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of 3 in y 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.521 * [taylor]: Taking taylor expansion of 3 in x 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.522 * [taylor]: Taking taylor expansion of 3 in x 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.522 * [taylor]: Taking taylor expansion of 3 in y 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [taylor]: Taking taylor expansion of 1 in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of 3 in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.531 * [taylor]: Taking taylor expansion of 3 in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.532 * [taylor]: Taking taylor expansion of 3 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of 1 in y 0.534 * [taylor]: Taking taylor expansion of 0 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 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.545 * [taylor]: Taking taylor expansion of 3 in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.546 * [taylor]: Taking taylor expansion of 3 in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.547 * [taylor]: Taking taylor expansion of 3 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of 1 in y 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.550 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.550 * [taylor]: Taking taylor expansion of 3 in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.557 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.557 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.557 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of 2 in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.558 * [taylor]: Taking taylor expansion of 2 in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.558 * [taylor]: Taking taylor expansion of 2 in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of 2 in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [taylor]: Taking taylor expansion of 1 in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.566 * [taylor]: Taking taylor expansion of 2 in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.567 * [taylor]: Taking taylor expansion of 2 in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.568 * [taylor]: Taking taylor expansion of 2 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of 1 in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.570 * [taylor]: Taking taylor expansion of 2 in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.579 * [taylor]: Taking taylor expansion of 2 in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.580 * [taylor]: Taking taylor expansion of 2 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.580 * [taylor]: Taking taylor expansion of 2 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of 1 in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.583 * [taylor]: Taking taylor expansion of 2 in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [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 0.591 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.591 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.591 * [taylor]: Taking taylor expansion of (+ (pow x 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 (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) (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 (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) (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 (pow y 2) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [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 0.594 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.596 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of 1 in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of 1 in y 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.617 * * * [progress]: simplifying candidates 0.617 * [simplify]: Simplifying using # : (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (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)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.626 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.631 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.651 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.752 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.754 * [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)) (* 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)) (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)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.754 * * * [progress]: adding candidates to table 0.878 * * [progress]: iteration 3 / 4 0.878 * * * [progress]: picking best candidate 0.890 * * * * [pick]: Picked # 0.890 * * * [progress]: localizing error 0.897 * * * [progress]: generating rewritten candidates 0.897 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.897 * * * [progress]: generating series expansions 0.898 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.898 * [approximate]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in (y x) around 0 0.898 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in x 0.898 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 0.898 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in x 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.898 * [taylor]: Taking taylor expansion of 3 in x 0.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in y 0.898 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 0.898 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in y 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of 3 in y 0.898 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in y 0.898 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 0.898 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in y 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of 3 in y 0.898 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of 0 in x 0.900 * [taylor]: Taking taylor expansion of 3 in x 0.902 * [taylor]: Taking taylor expansion of 0 in x 0.904 * [taylor]: Taking taylor expansion of 0 in x 0.905 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 y) 2) 3 (pow (/ 1 x) 2)) in (y x) around 0 0.905 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 y) 2) 3 (pow (/ 1 x) 2)) in x 0.905 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 y) 2) 3) (pow (/ 1 x) 2)) 0.905 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 2) 3) in x 0.905 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of 3 in x 0.905 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 y) 2) 3 (pow (/ 1 x) 2)) in y 0.905 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 y) 2) 3) (pow (/ 1 x) 2)) 0.905 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 2) 3) in y 0.905 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of 3 in y 0.906 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 y) 2) 3 (pow (/ 1 x) 2)) in y 0.906 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 y) 2) 3) (pow (/ 1 x) 2)) 0.906 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 2) 3) in y 0.906 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of 3 in y 0.906 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of 3 in x 0.908 * [taylor]: Taking taylor expansion of 0 in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of 0 in x 0.916 * [taylor]: Taking taylor expansion of 0 in x 0.917 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 y) 2) 3 (pow (/ -1 x) 2)) in (y x) around 0 0.917 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 y) 2) 3 (pow (/ -1 x) 2)) in x 0.917 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 y) 2) 3) (pow (/ -1 x) 2)) 0.917 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 2) 3) in x 0.917 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of 3 in x 0.921 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 0.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.921 * [taylor]: Taking taylor expansion of -1 in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 y) 2) 3 (pow (/ -1 x) 2)) in y 0.922 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 y) 2) 3) (pow (/ -1 x) 2)) 0.922 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 2) 3) in y 0.922 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 0.922 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.922 * [taylor]: Taking taylor expansion of -1 in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of 3 in y 0.922 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.922 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.922 * [taylor]: Taking taylor expansion of -1 in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 y) 2) 3 (pow (/ -1 x) 2)) in y 0.922 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 y) 2) 3) (pow (/ -1 x) 2)) 0.922 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 2) 3) in y 0.922 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 0.922 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.922 * [taylor]: Taking taylor expansion of -1 in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of 3 in y 0.923 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.923 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.923 * [taylor]: Taking taylor expansion of -1 in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.924 * [taylor]: Taking taylor expansion of 3 in x 0.925 * [taylor]: Taking taylor expansion of 0 in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.927 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of 0 in x 0.932 * [taylor]: Taking taylor expansion of 0 in x 0.934 * * * [progress]: simplifying candidates 0.934 * [simplify]: Simplifying using # : (expm1 (fma (pow y 2) 3 (pow x 2))) (log1p (fma (pow y 2) 3 (pow x 2))) (* (pow y 2) 3) (log (fma (pow y 2) 3 (pow x 2))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (pow y 2) 3 (pow x 2))) (cbrt (fma (pow y 2) 3 (pow x 2)))) (cbrt (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 (pow y 2) 3 (pow x 2))) (sqrt (fma (pow y 2) 3 (pow x 2))) (sqrt (fma (pow y 2) 3 (pow x 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.937 * * [simplify]: iteration 0 : 29 enodes (cost 59 ) 0.938 * * [simplify]: iteration 1 : 78 enodes (cost 52 ) 0.940 * * [simplify]: iteration 2 : 260 enodes (cost 52 ) 0.946 * * [simplify]: iteration 3 : 1095 enodes (cost 52 ) 0.986 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.987 * [simplify]: Simplified to: (expm1 (fma (pow y 2) 3 (pow x 2))) (log1p (fma (pow y 2) 3 (pow x 2))) (* (pow y 2) 3) (log (fma (pow y 2) 3 (pow x 2))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (pow y 2) 3 (pow x 2))) (cbrt (fma (pow y 2) 3 (pow x 2)))) (cbrt (fma (pow y 2) 3 (pow x 2))) (pow (fma (pow y 2) 3 (pow x 2)) 3) (sqrt (fma (pow y 2) 3 (pow x 2))) (sqrt (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 (pow y 2) 3 (pow x 2)) 0.987 * * * [progress]: adding candidates to table 1.014 * * [progress]: iteration 4 / 4 1.014 * * * [progress]: picking best candidate 1.025 * * * * [pick]: Picked # 1.025 * * * [progress]: localizing error 1.037 * * * [progress]: generating rewritten candidates 1.037 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.052 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.067 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.068 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.083 * * * [progress]: generating series expansions 1.083 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.083 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.083 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.083 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.083 * [taylor]: Taking taylor expansion of x in y 1.083 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.083 * [taylor]: Taking taylor expansion of 2 in y 1.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.084 * [taylor]: Taking taylor expansion of 2 in x 1.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.084 * [taylor]: Taking taylor expansion of y in x 1.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.085 * [taylor]: Taking taylor expansion of 2 in x 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.085 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.086 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.086 * [taylor]: Taking taylor expansion of 2 in y 1.087 * [taylor]: Taking taylor expansion of y in y 1.087 * [taylor]: Taking taylor expansion of 0 in y 1.091 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.091 * [taylor]: Taking taylor expansion of 1/2 in y 1.091 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.091 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.091 * [taylor]: Taking taylor expansion of 2 in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of 0 in y 1.101 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.101 * [taylor]: Taking taylor expansion of x in y 1.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.101 * [taylor]: Taking taylor expansion of 2 in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.105 * [taylor]: Taking taylor expansion of 2 in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.107 * [taylor]: Taking taylor expansion of 2 in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of 1 in y 1.109 * [taylor]: Taking taylor expansion of 0 in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.115 * [taylor]: Taking taylor expansion of 0 in y 1.120 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.120 * [taylor]: Taking taylor expansion of x in y 1.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.120 * [taylor]: Taking taylor expansion of 2 in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.120 * [taylor]: Taking taylor expansion of y in y 1.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.124 * [taylor]: Taking taylor expansion of 2 in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.124 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.126 * [taylor]: Taking taylor expansion of 2 in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.126 * [taylor]: Taking taylor expansion of y in x 1.128 * [taylor]: Taking taylor expansion of 1 in y 1.128 * [taylor]: Taking taylor expansion of 0 in y 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.130 * [taylor]: Taking taylor expansion of y in y 1.134 * [taylor]: Taking taylor expansion of 0 in y 1.135 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.135 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.135 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.135 * [taylor]: Taking taylor expansion of x in y 1.135 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.135 * [taylor]: Taking taylor expansion of 2 in y 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.136 * [taylor]: Taking taylor expansion of 2 in x 1.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.137 * [taylor]: Taking taylor expansion of 2 in x 1.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.137 * [taylor]: Taking taylor expansion of y in x 1.138 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.138 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.138 * [taylor]: Taking taylor expansion of 2 in y 1.138 * [taylor]: Taking taylor expansion of y in y 1.139 * [taylor]: Taking taylor expansion of 0 in y 1.142 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.142 * [taylor]: Taking taylor expansion of 1/2 in y 1.142 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.142 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.142 * [taylor]: Taking taylor expansion of 2 in y 1.143 * [taylor]: Taking taylor expansion of y in y 1.150 * [taylor]: Taking taylor expansion of 0 in y 1.153 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.153 * [taylor]: Taking taylor expansion of x in y 1.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.153 * [taylor]: Taking taylor expansion of 2 in y 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.153 * [taylor]: Taking taylor expansion of y in y 1.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.156 * [taylor]: Taking taylor expansion of 2 in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.156 * [taylor]: Taking taylor expansion of y in x 1.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.159 * [taylor]: Taking taylor expansion of 2 in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.159 * [taylor]: Taking taylor expansion of y in x 1.161 * [taylor]: Taking taylor expansion of 1 in y 1.161 * [taylor]: Taking taylor expansion of 0 in y 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.166 * [taylor]: Taking taylor expansion of 0 in y 1.167 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.167 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.168 * [taylor]: Taking taylor expansion of x in y 1.168 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.168 * [taylor]: Taking taylor expansion of 2 in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.171 * [taylor]: Taking taylor expansion of 2 in x 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.171 * [taylor]: Taking taylor expansion of y in x 1.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.174 * [taylor]: Taking taylor expansion of 2 in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.174 * [taylor]: Taking taylor expansion of y in x 1.176 * [taylor]: Taking taylor expansion of 1 in y 1.176 * [taylor]: Taking taylor expansion of 0 in y 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.181 * [taylor]: Taking taylor expansion of 0 in y 1.182 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.183 * [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 1.183 * [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 1.183 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.183 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 1.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.183 * [taylor]: Taking taylor expansion of x in y 1.183 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.183 * [taylor]: Taking taylor expansion of 2 in y 1.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.183 * [taylor]: Taking taylor expansion of y in y 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.184 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.184 * [taylor]: Taking taylor expansion of x in y 1.184 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.184 * [taylor]: Taking taylor expansion of 2 in y 1.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.184 * [taylor]: Taking taylor expansion of y in y 1.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.184 * [taylor]: Taking taylor expansion of y in y 1.184 * [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 1.184 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.184 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.184 * [taylor]: Taking taylor expansion of 2 in x 1.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.184 * [taylor]: Taking taylor expansion of y in x 1.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.185 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.185 * [taylor]: Taking taylor expansion of 2 in x 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.186 * [taylor]: Taking taylor expansion of y in x 1.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.186 * [taylor]: Taking taylor expansion of y in x 1.186 * [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 1.187 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.187 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.187 * [taylor]: Taking taylor expansion of 2 in x 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.187 * [taylor]: Taking taylor expansion of y in x 1.188 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.188 * [taylor]: Taking taylor expansion of 2 in x 1.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.188 * [taylor]: Taking taylor expansion of y in x 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.189 * [taylor]: Taking taylor expansion of y in x 1.190 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.190 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.190 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.190 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.190 * [taylor]: Taking taylor expansion of 2 in y 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.192 * [taylor]: Taking taylor expansion of 0 in y 1.197 * [taylor]: Taking taylor expansion of 1 in y 1.213 * [taylor]: Taking taylor expansion of 0 in y 1.225 * [taylor]: Taking taylor expansion of 0 in y 1.227 * [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 1.227 * [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 1.227 * [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))) 1.227 * [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 1.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.227 * [taylor]: Taking taylor expansion of x in y 1.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.227 * [taylor]: Taking taylor expansion of 2 in y 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.227 * [taylor]: Taking taylor expansion of y in y 1.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.230 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.230 * [taylor]: Taking taylor expansion of x in y 1.230 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.230 * [taylor]: Taking taylor expansion of 2 in y 1.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.231 * [taylor]: Taking taylor expansion of y in y 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.233 * [taylor]: Taking taylor expansion of y in y 1.234 * [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 1.234 * [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))) 1.234 * [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 1.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.235 * [taylor]: Taking taylor expansion of 2 in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.235 * [taylor]: Taking taylor expansion of y in x 1.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.237 * [taylor]: Taking taylor expansion of 2 in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.237 * [taylor]: Taking taylor expansion of y in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.239 * [taylor]: Taking taylor expansion of y in x 1.239 * [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 1.239 * [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))) 1.239 * [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 1.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.240 * [taylor]: Taking taylor expansion of 2 in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.240 * [taylor]: Taking taylor expansion of y in x 1.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.243 * [taylor]: Taking taylor expansion of 2 in x 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.243 * [taylor]: Taking taylor expansion of y in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.245 * [taylor]: Taking taylor expansion of y in x 1.245 * [taylor]: Taking taylor expansion of 1 in y 1.246 * [taylor]: Taking taylor expansion of 0 in y 1.250 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.250 * [taylor]: Taking taylor expansion of 3 in y 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.251 * [taylor]: Taking taylor expansion of y in y 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.266 * [taylor]: Taking taylor expansion of 0 in y 1.268 * [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 1.268 * [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 1.268 * [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))) 1.268 * [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 1.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.268 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.268 * [taylor]: Taking taylor expansion of x in y 1.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.268 * [taylor]: Taking taylor expansion of 2 in y 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.268 * [taylor]: Taking taylor expansion of y in y 1.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.271 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.271 * [taylor]: Taking taylor expansion of x in y 1.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.271 * [taylor]: Taking taylor expansion of 2 in y 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.271 * [taylor]: Taking taylor expansion of y in y 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.275 * [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 1.275 * [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))) 1.275 * [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 1.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.276 * [taylor]: Taking taylor expansion of 2 in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.276 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.276 * [taylor]: Taking taylor expansion of y in x 1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.278 * [taylor]: Taking taylor expansion of 2 in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.278 * [taylor]: Taking taylor expansion of y in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.280 * [taylor]: Taking taylor expansion of y in x 1.280 * [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 1.280 * [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))) 1.280 * [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 1.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.281 * [taylor]: Taking taylor expansion of 2 in x 1.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.281 * [taylor]: Taking taylor expansion of y in x 1.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.284 * [taylor]: Taking taylor expansion of 2 in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.284 * [taylor]: Taking taylor expansion of y in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.290 * [taylor]: Taking taylor expansion of y in x 1.291 * [taylor]: Taking taylor expansion of 1 in y 1.292 * [taylor]: Taking taylor expansion of 0 in y 1.296 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.296 * [taylor]: Taking taylor expansion of 3 in y 1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.302 * [taylor]: Taking taylor expansion of 0 in y 1.311 * [taylor]: Taking taylor expansion of 0 in y 1.313 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.313 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.313 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.313 * [taylor]: Taking taylor expansion of x in y 1.313 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.313 * [taylor]: Taking taylor expansion of 2 in y 1.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.313 * [taylor]: Taking taylor expansion of y in y 1.313 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.313 * [taylor]: Taking taylor expansion of 2 in x 1.313 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.313 * [taylor]: Taking taylor expansion of y in x 1.313 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.313 * [taylor]: Taking taylor expansion of 2 in x 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.314 * [taylor]: Taking taylor expansion of y in x 1.314 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.314 * [taylor]: Taking taylor expansion of 2 in y 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.314 * [taylor]: Taking taylor expansion of 0 in y 1.316 * [taylor]: Taking taylor expansion of 1 in y 1.318 * [taylor]: Taking taylor expansion of 0 in y 1.321 * [taylor]: Taking taylor expansion of 0 in y 1.322 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.322 * [taylor]: Taking taylor expansion of x in y 1.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.322 * [taylor]: Taking taylor expansion of 2 in y 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.322 * [taylor]: Taking taylor expansion of y in y 1.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.323 * [taylor]: Taking taylor expansion of 2 in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.323 * [taylor]: Taking taylor expansion of y in x 1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.324 * [taylor]: Taking taylor expansion of 2 in x 1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.324 * [taylor]: Taking taylor expansion of y in x 1.324 * [taylor]: Taking taylor expansion of 1 in y 1.325 * [taylor]: Taking taylor expansion of 0 in y 1.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.326 * [taylor]: Taking taylor expansion of 2 in y 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.326 * [taylor]: Taking taylor expansion of y in y 1.329 * [taylor]: Taking taylor expansion of 0 in y 1.332 * [taylor]: Taking taylor expansion of 0 in y 1.334 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.334 * [taylor]: Taking taylor expansion of x in y 1.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.335 * [taylor]: Taking taylor expansion of 2 in y 1.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.335 * [taylor]: Taking taylor expansion of y in y 1.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.336 * [taylor]: Taking taylor expansion of 2 in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.336 * [taylor]: Taking taylor expansion of y in x 1.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.336 * [taylor]: Taking taylor expansion of 2 in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.336 * [taylor]: Taking taylor expansion of y in x 1.337 * [taylor]: Taking taylor expansion of 1 in y 1.338 * [taylor]: Taking taylor expansion of 0 in y 1.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.339 * [taylor]: Taking taylor expansion of 2 in y 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.339 * [taylor]: Taking taylor expansion of y in y 1.341 * [taylor]: Taking taylor expansion of 0 in y 1.345 * [taylor]: Taking taylor expansion of 0 in y 1.347 * * * [progress]: simplifying candidates 1.348 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.353 * * [simplify]: iteration 0 : 175 enodes (cost 645 ) 1.356 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.368 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.436 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.438 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 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(log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma x x (fma y y (* y y))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (pow (fma (pow y 2) 3 (pow x 2)) 3) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (exp (fma x x (fma y y (* y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)) (fma y (pow y 5) (pow (fma x x (* y y)) 3)) (fma (pow x 2) (fma x x (* y y)) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) 1.439 * * * [progress]: adding candidates to table 1.639 * [progress]: [Phase 3 of 3] Extracting. 1.639 * * [regime]: Finding splitpoints for: (# # # # # #) 1.641 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 1.641 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.665 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.677 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.702 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.714 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 1.739 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.762 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.787 * * * [regime]: Found split indices: #