32.637 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.025 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.026 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.028 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.029 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.031 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.033 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.035 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.037 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.040 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.043 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.049 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.076 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.300 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.301 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.304 * * [progress]: iteration 1 / 4 0.304 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.311 * * * [progress]: generating rewritten candidates 0.311 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.312 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.312 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.312 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.312 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.312 * [taylor]: Taking taylor expansion of 3 in x 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.313 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.313 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of 3 in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.313 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.313 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of 3 in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of 0 in x 0.314 * [taylor]: Taking taylor expansion of 3 in x 0.316 * [taylor]: Taking taylor expansion of 0 in x 0.318 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.319 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.319 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.319 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of 3 in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.320 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.320 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.320 * [taylor]: Taking taylor expansion of 3 in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.320 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.321 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of 3 in x 0.323 * [taylor]: Taking taylor expansion of 0 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [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 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 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 y 0.332 * [taylor]: Taking taylor expansion of 3 in y 0.332 * [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 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.333 * [taylor]: Taking taylor expansion of x in y 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 3 in x 0.336 * [taylor]: Taking taylor expansion of 0 in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 0 in x 0.343 * [taylor]: Taking taylor expansion of 0 in x 0.344 * * * [progress]: simplifying candidates 0.345 * [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))) 0.347 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.349 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.351 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.357 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.396 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.397 * [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)) 0.397 * * * [progress]: adding candidates to table 0.421 * * [progress]: iteration 2 / 4 0.421 * * * [progress]: picking best candidate 0.426 * * * * [pick]: Picked # 0.426 * * * [progress]: localizing error 0.432 * * * [progress]: generating rewritten candidates 0.432 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.440 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.444 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.450 * * * [progress]: generating series expansions 0.450 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.451 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of 3 in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.451 * [taylor]: Taking taylor expansion of 3 in x 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.451 * [taylor]: Taking taylor expansion of 3 in x 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of 3 in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of 1 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.460 * [taylor]: Taking taylor expansion of 3 in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.461 * [taylor]: Taking taylor expansion of 3 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.461 * [taylor]: Taking taylor expansion of 3 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of 1 in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.464 * [taylor]: Taking taylor expansion of 3 in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.472 * [taylor]: Taking taylor expansion of 3 in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.473 * [taylor]: Taking taylor expansion of 3 in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.474 * [taylor]: Taking taylor expansion of 3 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of 1 in y 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.477 * [taylor]: Taking taylor expansion of 3 in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.484 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.484 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [taylor]: Taking taylor expansion of 1 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of 1 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.513 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.513 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.513 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.514 * [taylor]: Taking taylor expansion of 2 in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.514 * [taylor]: Taking taylor expansion of 2 in x 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.514 * [taylor]: Taking taylor expansion of 2 in x 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.514 * [taylor]: Taking taylor expansion of 2 in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [taylor]: Taking taylor expansion of 1 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.522 * [taylor]: Taking taylor expansion of 2 in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.523 * [taylor]: Taking taylor expansion of 2 in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.524 * [taylor]: Taking taylor expansion of 2 in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of 1 in y 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.526 * [taylor]: Taking taylor expansion of 2 in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.535 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.535 * [taylor]: Taking taylor expansion of 2 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 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.536 * [taylor]: Taking taylor expansion of 2 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)) (* 2 (/ 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 (* 2 (/ 1 (pow y 2))) in x 0.537 * [taylor]: Taking taylor expansion of 2 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 0.537 * [taylor]: Taking taylor expansion of 1 in y 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.539 * [taylor]: Taking taylor expansion of 2 in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.547 * * * [progress]: simplifying candidates 0.548 * [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))) 0.552 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.558 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.577 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.678 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.680 * [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))) 0.680 * * * [progress]: adding candidates to table 0.780 * * [progress]: iteration 3 / 4 0.780 * * * [progress]: picking best candidate 0.789 * * * * [pick]: Picked # 0.789 * * * [progress]: localizing error 0.797 * * * [progress]: generating rewritten candidates 0.797 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.803 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.808 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.809 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.814 * * * [progress]: generating series expansions 0.814 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.814 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.814 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.814 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.814 * [taylor]: Taking taylor expansion of 2 in y 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.815 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.815 * [taylor]: Taking taylor expansion of 2 in x 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.816 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of 2 in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.817 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.817 * [taylor]: Taking taylor expansion of 2 in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.822 * [taylor]: Taking taylor expansion of 1/2 in y 0.822 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.822 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.822 * [taylor]: Taking taylor expansion of 2 in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.836 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.836 * [taylor]: Taking taylor expansion of 2 in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.839 * [taylor]: Taking taylor expansion of 2 in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.842 * [taylor]: Taking taylor expansion of 2 in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.844 * [taylor]: Taking taylor expansion of 1 in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.851 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.851 * [taylor]: Taking taylor expansion of x in y 0.851 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.851 * [taylor]: Taking taylor expansion of 2 in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.854 * [taylor]: Taking taylor expansion of 2 in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.854 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.857 * [taylor]: Taking taylor expansion of 2 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of 1 in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.866 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.866 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.866 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.866 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.866 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.866 * [taylor]: Taking taylor expansion of 2 in y 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.866 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.866 * [taylor]: Taking taylor expansion of 2 in x 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.867 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.867 * [taylor]: Taking taylor expansion of 2 in x 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.868 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.869 * [taylor]: Taking taylor expansion of 2 in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.873 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.873 * [taylor]: Taking taylor expansion of 1/2 in y 0.873 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.873 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.873 * [taylor]: Taking taylor expansion of 2 in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.883 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.883 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.883 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.884 * [taylor]: Taking taylor expansion of 2 in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.887 * [taylor]: Taking taylor expansion of 2 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.890 * [taylor]: Taking taylor expansion of 2 in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.890 * [taylor]: Taking taylor expansion of y in x 0.892 * [taylor]: Taking taylor expansion of 1 in y 0.892 * [taylor]: Taking taylor expansion of 0 in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.898 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (* 2 (/ 1 (pow y 2))) in y 0.898 * [taylor]: Taking taylor expansion of 2 in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.902 * [taylor]: Taking taylor expansion of 2 in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.904 * [taylor]: Taking taylor expansion of 2 in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of 1 in y 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.916 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.916 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 0.916 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 0.916 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.916 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.916 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.916 * [taylor]: Taking taylor expansion of x in y 0.916 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of 2 in y 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.917 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.917 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.917 * [taylor]: Taking taylor expansion of x in y 0.917 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of 2 in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.918 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.918 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.918 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.918 * [taylor]: Taking taylor expansion of 2 in x 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.919 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.919 * [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 (pow y 2) in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.920 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.920 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.920 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 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 (+ (pow x 2) (* 2 (pow y 2)))) in x 0.921 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.921 * [taylor]: Taking taylor expansion of 2 in x 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 0.923 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.923 * [taylor]: Taking taylor expansion of 2 in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of 0 in y 0.931 * [taylor]: Taking taylor expansion of 1 in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.953 * [taylor]: Taking taylor expansion of 0 in y 0.955 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 0.955 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 0.955 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.955 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 0.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.955 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.955 * [taylor]: Taking taylor expansion of x in y 0.956 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.956 * [taylor]: Taking taylor expansion of 2 in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.959 * [taylor]: Taking taylor expansion of 2 in y 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (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 0.962 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.962 * [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 0.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.963 * [taylor]: Taking taylor expansion of 2 in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.965 * [taylor]: Taking taylor expansion of 2 in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.967 * [taylor]: Taking taylor expansion of y in x 0.967 * [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 0.967 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.968 * [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 0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.968 * [taylor]: Taking taylor expansion of 2 in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.971 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.971 * [taylor]: Taking taylor expansion of 2 in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.973 * [taylor]: Taking taylor expansion of y in x 0.973 * [taylor]: Taking taylor expansion of 1 in y 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.978 * [taylor]: Taking taylor expansion of 3 in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.978 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.999 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 0.999 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 0.999 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.999 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 0.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.000 * [taylor]: Taking taylor expansion of 2 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 (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.003 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.003 * [taylor]: Taking taylor expansion of x in y 1.003 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.003 * [taylor]: Taking taylor expansion of 2 in y 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.003 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.006 * [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 1.007 * [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))) 1.007 * [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 1.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.007 * [taylor]: Taking taylor expansion of 2 in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.010 * [taylor]: Taking taylor expansion of 2 in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.012 * [taylor]: Taking taylor expansion of y in x 1.012 * [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 1.012 * [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))) 1.012 * [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 1.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.013 * [taylor]: Taking taylor expansion of 2 in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.015 * [taylor]: Taking taylor expansion of 2 in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of 1 in y 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.023 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.023 * [taylor]: Taking taylor expansion of 3 in y 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.023 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.039 * [taylor]: Taking taylor expansion of 0 in y 1.041 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.041 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.041 * [taylor]: Taking taylor expansion of x in y 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [taylor]: Taking taylor expansion of 1 in y 1.044 * [taylor]: Taking taylor expansion of 0 in y 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.046 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.046 * [taylor]: Taking taylor expansion of x in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of 1 in y 1.049 * [taylor]: Taking taylor expansion of 0 in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of 0 in y 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.056 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.056 * [taylor]: Taking taylor expansion of x in y 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.059 * [taylor]: Taking taylor expansion of 1 in y 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.063 * [taylor]: Taking taylor expansion of 0 in y 1.065 * [taylor]: Taking taylor expansion of 0 in y 1.067 * * * [progress]: simplifying candidates 1.067 * [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)) 1.072 * * [simplify]: iteration 0 : 200 enodes (cost 583 ) 1.077 * * [simplify]: iteration 1 : 838 enodes (cost 494 ) 1.090 * * [simplify]: iteration 2 : 2618 enodes (cost 468 ) 1.145 * * [simplify]: iteration 3 : 5001 enodes (cost 441 ) 1.148 * [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)) 1.149 * * * [progress]: adding candidates to table 1.313 * * [progress]: iteration 4 / 4 1.313 * * * [progress]: picking best candidate 1.325 * * * * [pick]: Picked # 1.326 * * * [progress]: localizing error 1.338 * * * [progress]: generating rewritten candidates 1.338 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.344 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.352 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.357 * * * [progress]: generating series expansions 1.357 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.357 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.357 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.357 * [taylor]: Taking taylor expansion of x in y 1.357 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.357 * [taylor]: Taking taylor expansion of 2 in y 1.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.357 * [taylor]: Taking taylor expansion of y in y 1.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.358 * [taylor]: Taking taylor expansion of 2 in x 1.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.358 * [taylor]: Taking taylor expansion of y in x 1.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.359 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.359 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.359 * [taylor]: Taking taylor expansion of 2 in x 1.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.359 * [taylor]: Taking taylor expansion of y in x 1.360 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.360 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.360 * [taylor]: Taking taylor expansion of 2 in y 1.361 * [taylor]: Taking taylor expansion of y in y 1.361 * [taylor]: Taking taylor expansion of 0 in y 1.364 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.364 * [taylor]: Taking taylor expansion of 1/2 in y 1.365 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.365 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.365 * [taylor]: Taking taylor expansion of 2 in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.372 * [taylor]: Taking taylor expansion of 0 in y 1.375 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.375 * [taylor]: Taking taylor expansion of x in y 1.375 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.375 * [taylor]: Taking taylor expansion of 2 in y 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.375 * [taylor]: Taking taylor expansion of y in y 1.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.378 * [taylor]: Taking taylor expansion of 2 in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.378 * [taylor]: Taking taylor expansion of y in x 1.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.381 * [taylor]: Taking taylor expansion of 2 in x 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.381 * [taylor]: Taking taylor expansion of y in x 1.383 * [taylor]: Taking taylor expansion of 1 in y 1.383 * [taylor]: Taking taylor expansion of 0 in y 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.385 * [taylor]: Taking taylor expansion of y in y 1.388 * [taylor]: Taking taylor expansion of 0 in y 1.389 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.389 * [taylor]: Taking taylor expansion of x in y 1.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.389 * [taylor]: Taking taylor expansion of 2 in y 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.390 * [taylor]: Taking taylor expansion of y in y 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.393 * [taylor]: Taking taylor expansion of 2 in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.393 * [taylor]: Taking taylor expansion of y in x 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.395 * [taylor]: Taking taylor expansion of 2 in x 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.395 * [taylor]: Taking taylor expansion of y in x 1.398 * [taylor]: Taking taylor expansion of 1 in y 1.398 * [taylor]: Taking taylor expansion of 0 in y 1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.400 * [taylor]: Taking taylor expansion of y in y 1.403 * [taylor]: Taking taylor expansion of 0 in y 1.404 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 1.404 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.404 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.404 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.404 * [taylor]: Taking taylor expansion of 2 in y 1.405 * [taylor]: Taking taylor expansion of y in y 1.405 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.405 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.405 * [taylor]: Taking taylor expansion of 2 in y 1.406 * [taylor]: Taking taylor expansion of y in y 1.416 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.416 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.416 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.416 * [taylor]: Taking taylor expansion of 2 in y 1.417 * [taylor]: Taking taylor expansion of y in y 1.417 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.417 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.417 * [taylor]: Taking taylor expansion of 2 in y 1.418 * [taylor]: Taking taylor expansion of y in y 1.426 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.426 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.426 * [taylor]: Taking taylor expansion of -1 in y 1.426 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.426 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.426 * [taylor]: Taking taylor expansion of 2 in y 1.426 * [taylor]: Taking taylor expansion of y in y 1.427 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.427 * [taylor]: Taking taylor expansion of -1 in y 1.427 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.427 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.427 * [taylor]: Taking taylor expansion of 2 in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.443 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.444 * [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 1.444 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in y 1.444 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.444 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in y 1.444 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.444 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.444 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.444 * [taylor]: Taking taylor expansion of x in y 1.444 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.444 * [taylor]: Taking taylor expansion of 2 in y 1.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.444 * [taylor]: Taking taylor expansion of y in y 1.445 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.445 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.445 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.445 * [taylor]: Taking taylor expansion of (* x x) in y 1.445 * [taylor]: Taking taylor expansion of x in y 1.445 * [taylor]: Taking taylor expansion of x in y 1.445 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.445 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.445 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.445 * [taylor]: Taking taylor expansion of 2 in y 1.445 * [taylor]: Taking taylor expansion of y in y 1.445 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.445 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.445 * [taylor]: Taking taylor expansion of 2 in y 1.446 * [taylor]: Taking taylor expansion of y in y 1.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.450 * [taylor]: Taking taylor expansion of y in y 1.450 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in x 1.450 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.450 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in x 1.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.450 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.451 * [taylor]: Taking taylor expansion of 2 in x 1.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.451 * [taylor]: Taking taylor expansion of y in x 1.451 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.452 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.452 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.452 * [taylor]: Taking taylor expansion of (* x x) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.452 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.452 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.452 * [taylor]: Taking taylor expansion of 2 in x 1.452 * [taylor]: Taking taylor expansion of y in x 1.452 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.452 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.452 * [taylor]: Taking taylor expansion of 2 in x 1.453 * [taylor]: Taking taylor expansion of y in x 1.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.458 * [taylor]: Taking taylor expansion of y in x 1.458 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y)) (pow y 2)) in x 1.458 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) (pow y 2)) 1.458 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (hypot x (* (sqrt 2) y))) in x 1.458 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.458 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.458 * [taylor]: Taking taylor expansion of 2 in x 1.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.458 * [taylor]: Taking taylor expansion of y in x 1.459 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.459 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.459 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.459 * [taylor]: Taking taylor expansion of (* x x) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.459 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.459 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.459 * [taylor]: Taking taylor expansion of 2 in x 1.460 * [taylor]: Taking taylor expansion of y in x 1.460 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.460 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.460 * [taylor]: Taking taylor expansion of 2 in x 1.460 * [taylor]: Taking taylor expansion of y in x 1.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.465 * [taylor]: Taking taylor expansion of y in x 1.466 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.466 * [taylor]: Taking taylor expansion of y in y 1.466 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.466 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.466 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.466 * [taylor]: Taking taylor expansion of 2 in y 1.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.467 * [taylor]: Taking taylor expansion of y in y 1.468 * [taylor]: Taking taylor expansion of 0 in y 1.476 * [taylor]: Taking taylor expansion of 1 in y 1.489 * [taylor]: Taking taylor expansion of 0 in y 1.504 * [taylor]: Taking taylor expansion of 0 in y 1.506 * [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 1.506 * [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 1.506 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.506 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in y 1.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.506 * [taylor]: Taking taylor expansion of x in y 1.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.506 * [taylor]: Taking taylor expansion of 2 in y 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.506 * [taylor]: Taking taylor expansion of y in y 1.509 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.509 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.509 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.509 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.509 * [taylor]: Taking taylor expansion of x in y 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.509 * [taylor]: Taking taylor expansion of x in y 1.509 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.509 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.509 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.509 * [taylor]: Taking taylor expansion of 2 in y 1.510 * [taylor]: Taking taylor expansion of y in y 1.511 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.511 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.511 * [taylor]: Taking taylor expansion of 2 in y 1.514 * [taylor]: Taking taylor expansion of y 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 1.520 * [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 1.520 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.520 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.520 * [taylor]: Taking taylor expansion of 2 in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.520 * [taylor]: Taking taylor expansion of y in x 1.522 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.522 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.522 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.522 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.523 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.523 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.523 * [taylor]: Taking taylor expansion of 2 in x 1.524 * [taylor]: Taking taylor expansion of y in x 1.524 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.524 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.524 * [taylor]: Taking taylor expansion of 2 in x 1.524 * [taylor]: Taking taylor expansion of y in x 1.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.527 * [taylor]: Taking taylor expansion of y in x 1.527 * [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 1.527 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) (/ 1 (pow y 2))) 1.527 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ 1 x) (/ (sqrt 2) y))) in x 1.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.527 * [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 (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.530 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.530 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.530 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.531 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.531 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.531 * [taylor]: Taking taylor expansion of 2 in x 1.531 * [taylor]: Taking taylor expansion of y in x 1.531 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.531 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.532 * [taylor]: Taking taylor expansion of 2 in x 1.532 * [taylor]: Taking taylor expansion of y in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.535 * [taylor]: Taking taylor expansion of y in x 1.535 * [taylor]: Taking taylor expansion of 1 in y 1.536 * [taylor]: Taking taylor expansion of 0 in y 1.543 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.544 * [taylor]: Taking taylor expansion of 1/2 in y 1.544 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.544 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.544 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.544 * [taylor]: Taking taylor expansion of 2 in y 1.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.544 * [taylor]: Taking taylor expansion of y in y 1.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.546 * [taylor]: Taking taylor expansion of 2 in y 1.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.546 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of 0 in y 1.574 * [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 1.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.574 * [taylor]: Taking taylor expansion of 1/2 in y 1.574 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.574 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.574 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.574 * [taylor]: Taking taylor expansion of 2 in y 1.575 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.575 * [taylor]: Taking taylor expansion of y in y 1.577 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.577 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.577 * [taylor]: Taking taylor expansion of 1/8 in y 1.577 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.577 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.577 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.577 * [taylor]: Taking taylor expansion of 2 in y 1.577 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.577 * [taylor]: Taking taylor expansion of y in y 1.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.581 * [taylor]: Taking taylor expansion of 1/2 in y 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.581 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.581 * [taylor]: Taking taylor expansion of y in y 1.606 * [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 1.606 * [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 1.606 * [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))) 1.606 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in y 1.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.606 * [taylor]: Taking taylor expansion of x in y 1.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.606 * [taylor]: Taking taylor expansion of 2 in y 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.606 * [taylor]: Taking taylor expansion of y in y 1.609 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.609 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.609 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.609 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.609 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.609 * [taylor]: Taking taylor expansion of -1 in y 1.609 * [taylor]: Taking taylor expansion of x in y 1.609 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.609 * [taylor]: Taking taylor expansion of -1 in y 1.609 * [taylor]: Taking taylor expansion of x in y 1.609 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.609 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.609 * [taylor]: Taking taylor expansion of -1 in y 1.609 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.609 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.609 * [taylor]: Taking taylor expansion of 2 in y 1.610 * [taylor]: Taking taylor expansion of y in y 1.610 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.610 * [taylor]: Taking taylor expansion of -1 in y 1.610 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.610 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.610 * [taylor]: Taking taylor expansion of 2 in y 1.611 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of (/ 1 (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 (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (/ 1 (pow y 2))) in x 1.619 * [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))) 1.619 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.620 * [taylor]: Taking taylor expansion of x in x 1.620 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.620 * [taylor]: Taking taylor expansion of 2 in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.620 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.622 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.622 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.622 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.622 * [taylor]: Taking taylor expansion of -1 in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.622 * [taylor]: Taking taylor expansion of -1 in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.623 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.623 * [taylor]: Taking taylor expansion of -1 in x 1.623 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.623 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.623 * [taylor]: Taking taylor expansion of 2 in x 1.623 * [taylor]: Taking taylor expansion of y in x 1.624 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.624 * [taylor]: Taking taylor expansion of -1 in x 1.624 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.624 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.624 * [taylor]: Taking taylor expansion of 2 in x 1.624 * [taylor]: Taking taylor expansion of y in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.627 * [taylor]: Taking taylor expansion of y in x 1.627 * [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 1.627 * [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))) 1.627 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (hypot (/ -1 x) (* -1 (/ (sqrt 2) y)))) in x 1.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.628 * [taylor]: Taking taylor expansion of 2 in x 1.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.628 * [taylor]: Taking taylor expansion of y in x 1.630 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.630 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.630 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.630 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.630 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.630 * [taylor]: Taking taylor expansion of -1 in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.630 * [taylor]: Taking taylor expansion of -1 in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.631 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.631 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.631 * [taylor]: Taking taylor expansion of -1 in x 1.631 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.631 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.631 * [taylor]: Taking taylor expansion of 2 in x 1.631 * [taylor]: Taking taylor expansion of y in x 1.632 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.632 * [taylor]: Taking taylor expansion of -1 in x 1.632 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.632 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.632 * [taylor]: Taking taylor expansion of 2 in x 1.632 * [taylor]: Taking taylor expansion of y in x 1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.635 * [taylor]: Taking taylor expansion of y in x 1.636 * [taylor]: Taking taylor expansion of 1 in y 1.636 * [taylor]: Taking taylor expansion of 0 in y 1.644 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.644 * [taylor]: Taking taylor expansion of 1/2 in y 1.644 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.644 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.644 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.644 * [taylor]: Taking taylor expansion of 2 in y 1.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.645 * [taylor]: Taking taylor expansion of y in y 1.647 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.647 * [taylor]: Taking taylor expansion of 2 in y 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.647 * [taylor]: Taking taylor expansion of y in y 1.660 * [taylor]: Taking taylor expansion of 0 in y 1.681 * [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 1.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.681 * [taylor]: Taking taylor expansion of 1/2 in y 1.681 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.681 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.681 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.681 * [taylor]: Taking taylor expansion of 2 in y 1.681 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.683 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.684 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.684 * [taylor]: Taking taylor expansion of 1/8 in y 1.684 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.684 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.684 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.684 * [taylor]: Taking taylor expansion of 2 in y 1.684 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.684 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.688 * [taylor]: Taking taylor expansion of 1/2 in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.688 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.688 * [taylor]: Taking taylor expansion of y in y 1.709 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.709 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.709 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.709 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.709 * [taylor]: Taking taylor expansion of x in y 1.709 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.709 * [taylor]: Taking taylor expansion of y in y 1.709 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.709 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.709 * [taylor]: Taking taylor expansion of y in x 1.709 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.709 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.709 * [taylor]: Taking taylor expansion of y in x 1.709 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.709 * [taylor]: Taking taylor expansion of y in y 1.710 * [taylor]: Taking taylor expansion of 0 in y 1.710 * [taylor]: Taking taylor expansion of 1 in y 1.712 * [taylor]: Taking taylor expansion of 0 in y 1.714 * [taylor]: Taking taylor expansion of 0 in y 1.714 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.714 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.714 * [taylor]: Taking taylor expansion of x in y 1.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.714 * [taylor]: Taking taylor expansion of y in y 1.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.715 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.715 * [taylor]: Taking taylor expansion of y in x 1.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.716 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.716 * [taylor]: Taking taylor expansion of 1 in y 1.717 * [taylor]: Taking taylor expansion of 0 in y 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.718 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.720 * [taylor]: Taking taylor expansion of 0 in y 1.723 * [taylor]: Taking taylor expansion of 0 in y 1.724 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.724 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.724 * [taylor]: Taking taylor expansion of x in y 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.724 * [taylor]: Taking taylor expansion of y in y 1.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.725 * [taylor]: Taking taylor expansion of y in x 1.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.726 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.726 * [taylor]: Taking taylor expansion of y in x 1.726 * [taylor]: Taking taylor expansion of 1 in y 1.727 * [taylor]: Taking taylor expansion of 0 in y 1.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.728 * [taylor]: Taking taylor expansion of y in y 1.730 * [taylor]: Taking taylor expansion of 0 in y 1.733 * [taylor]: Taking taylor expansion of 0 in y 1.734 * * * [progress]: simplifying candidates 1.735 * [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)) 1.740 * * [simplify]: iteration 0 : 272 enodes (cost 502 ) 1.745 * * [simplify]: iteration 1 : 1178 enodes (cost 449 ) 1.770 * * [simplify]: iteration 2 : 5001 enodes (cost 430 ) 1.773 * [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)) 1.773 * * * [progress]: adding candidates to table 1.960 * [progress]: [Phase 3 of 3] Extracting. 1.960 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.964 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.964 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 1.986 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.999 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 2.023 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 2.036 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.063 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.089 * * * [regime]: Found split indices: #