11.992 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.023 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.024 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.026 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.027 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.033 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.035 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.038 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.041 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.046 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.073 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.290 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.291 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.293 * * [progress]: iteration 1 / 4 0.293 * * * [progress]: picking best candidate 0.295 * * * * [pick]: Picked # 0.295 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.301 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.301 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.301 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.301 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.301 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.301 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.301 * [taylor]: Taking taylor expansion of 3 in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.302 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.302 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.302 * [taylor]: Taking taylor expansion of 3 in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.302 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.302 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.302 * [taylor]: Taking taylor expansion of 3 in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of 0 in x 0.304 * [taylor]: Taking taylor expansion of 3 in x 0.305 * [taylor]: Taking taylor expansion of 0 in x 0.308 * [taylor]: Taking taylor expansion of 0 in x 0.308 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.308 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.308 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.308 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of 3 in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.309 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.309 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.309 * [taylor]: Taking taylor expansion of 3 in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.310 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.310 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.310 * [taylor]: Taking taylor expansion of 3 in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of 3 in x 0.313 * [taylor]: Taking taylor expansion of 0 in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of 0 in x 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.322 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.322 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.322 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.322 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.322 * [taylor]: Taking taylor expansion of 3 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.323 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.323 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.323 * [taylor]: Taking taylor expansion of 3 in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.323 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.324 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.324 * [taylor]: Taking taylor expansion of 3 in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of 3 in x 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.339 * * * [progress]: simplifying candidates 0.339 * [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))) 0.342 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.344 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.346 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.352 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.392 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.393 * [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)) 0.393 * * * [progress]: adding candidates to table 0.417 * * [progress]: iteration 2 / 4 0.417 * * * [progress]: picking best candidate 0.423 * * * * [pick]: Picked # 0.423 * * * [progress]: localizing error 0.430 * * * [progress]: generating rewritten candidates 0.430 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.484 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.496 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.500 * * * [progress]: generating series expansions 0.500 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.500 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of 3 in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.500 * [taylor]: Taking taylor expansion of 3 in x 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.500 * [taylor]: Taking taylor expansion of 3 in x 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.501 * [taylor]: Taking taylor expansion of 3 in y 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of 1 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.510 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of 3 in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.511 * [taylor]: Taking taylor expansion of 3 in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.512 * [taylor]: Taking taylor expansion of 3 in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of 1 in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.515 * [taylor]: Taking taylor expansion of 3 in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.524 * [taylor]: Taking taylor expansion of 3 in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.525 * [taylor]: Taking taylor expansion of 3 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.526 * [taylor]: Taking taylor expansion of 3 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of 1 in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.529 * [taylor]: Taking taylor expansion of 3 in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.539 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.539 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.539 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of 2 in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.540 * [taylor]: Taking taylor expansion of 2 in x 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.540 * [taylor]: Taking taylor expansion of 2 in x 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of 2 in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.542 * [taylor]: Taking taylor expansion of 1 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.549 * [taylor]: Taking taylor expansion of 2 in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of 2 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.551 * [taylor]: Taking taylor expansion of 2 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of 1 in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.554 * [taylor]: Taking taylor expansion of 2 in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.562 * [taylor]: Taking taylor expansion of x in y 0.562 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.562 * [taylor]: Taking taylor expansion of 2 in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.563 * [taylor]: Taking taylor expansion of 2 in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.564 * [taylor]: Taking taylor expansion of 2 in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of 1 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.567 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.567 * [taylor]: Taking taylor expansion of 2 in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.575 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.575 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.575 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.575 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.575 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of 1 in y 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of 1 in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.590 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of 1 in y 0.595 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.602 * * * [progress]: simplifying candidates 0.602 * [simplify]: Simplifying using # : (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.607 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.612 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.633 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.734 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.736 * [simplify]: Simplified to: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3)) (+ (pow y 4) (* (fma x x (fma y y (* y y))) (fma x x (* y y)))) (* (fma x x (* y y)) (fma y y (fma x x (fma y y (* y y))))) (fma x x (* y y)) (fma y y (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (exp (+ (fma x x (* y y)) (pow y 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* y y)) 3)) (+ (* (pow x 2) (fma x x (* y y))) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.736 * * * [progress]: adding candidates to table 0.856 * * [progress]: iteration 3 / 4 0.856 * * * [progress]: picking best candidate 0.866 * * * * [pick]: Picked # 0.866 * * * [progress]: localizing error 0.874 * * * [progress]: generating rewritten candidates 0.874 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.888 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.902 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.903 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.919 * * * [progress]: generating series expansions 0.919 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.919 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.919 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.919 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of 2 in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 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 0.923 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.923 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.923 * [taylor]: Taking taylor expansion of 2 in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.927 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.927 * [taylor]: Taking taylor expansion of 1/2 in y 0.927 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.927 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.927 * [taylor]: Taking taylor expansion of 2 in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of 0 in y 0.938 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.938 * [taylor]: Taking taylor expansion of 2 in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.942 * [taylor]: Taking taylor expansion of 2 in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.942 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.942 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.944 * [taylor]: Taking taylor expansion of 2 in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of 1 in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.953 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.954 * [taylor]: Taking taylor expansion of 2 in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.957 * [taylor]: Taking taylor expansion of 2 in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.957 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.960 * [taylor]: Taking taylor expansion of 2 in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.960 * [taylor]: Taking taylor expansion of y in x 0.962 * [taylor]: Taking taylor expansion of 1 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.968 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.969 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.969 * [taylor]: Taking taylor expansion of x in y 0.969 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.969 * [taylor]: Taking taylor expansion of 2 in y 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.969 * [taylor]: Taking taylor expansion of 2 in x 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.969 * [taylor]: Taking taylor expansion of y in x 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.970 * [taylor]: Taking taylor expansion of 2 in x 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.971 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.971 * [taylor]: Taking taylor expansion of 2 in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.972 * [taylor]: Taking taylor expansion of 0 in y 0.976 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.976 * [taylor]: Taking taylor expansion of 1/2 in y 0.976 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.976 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.976 * [taylor]: Taking taylor expansion of 2 in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.986 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.987 * [taylor]: Taking taylor expansion of 2 in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.995 * [taylor]: Taking taylor expansion of 2 in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.995 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.995 * [taylor]: Taking taylor expansion of y in x 0.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.998 * [taylor]: Taking taylor expansion of 2 in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.998 * [taylor]: Taking taylor expansion of y in x 1.000 * [taylor]: Taking taylor expansion of 1 in y 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.005 * [taylor]: Taking taylor expansion of 0 in y 1.007 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.007 * [taylor]: Taking taylor expansion of x in y 1.007 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.007 * [taylor]: Taking taylor expansion of 2 in y 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.011 * [taylor]: Taking taylor expansion of 2 in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.011 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.013 * [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 1 in y 1.015 * [taylor]: Taking taylor expansion of 0 in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of 0 in y 1.022 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.022 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 1.022 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 1.022 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.022 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 1.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.022 * [taylor]: Taking taylor expansion of x in y 1.023 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.023 * [taylor]: Taking taylor expansion of 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 1.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.023 * [taylor]: Taking taylor expansion of x in y 1.023 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.023 * [taylor]: Taking taylor expansion of 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 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.024 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 1.024 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.024 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.024 * [taylor]: Taking taylor expansion of 2 in x 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.025 * [taylor]: Taking taylor expansion of 2 in x 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 1.026 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.026 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.026 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.026 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.026 * [taylor]: Taking taylor expansion of 2 in x 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.027 * [taylor]: Taking taylor expansion of 2 in x 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.030 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.030 * [taylor]: Taking taylor expansion of 2 in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of 0 in y 1.037 * [taylor]: Taking taylor expansion of 1 in y 1.048 * [taylor]: Taking taylor expansion of 0 in y 1.061 * [taylor]: Taking taylor expansion of 0 in y 1.063 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.063 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.063 * [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))) 1.063 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.063 * [taylor]: Taking taylor expansion of x in y 1.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.063 * [taylor]: Taking taylor expansion of 2 in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.066 * [taylor]: Taking taylor expansion of x in y 1.066 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.066 * [taylor]: Taking taylor expansion of 2 in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.069 * [taylor]: Taking taylor expansion of y in y 1.070 * [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 1.070 * [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))) 1.070 * [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 1.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.070 * [taylor]: Taking taylor expansion of 2 in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.073 * [taylor]: Taking taylor expansion of 2 in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.073 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.076 * [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 1.076 * [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))) 1.076 * [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 1.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.081 * [taylor]: Taking taylor expansion of 2 in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.081 * [taylor]: Taking taylor expansion of y in x 1.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.084 * [taylor]: Taking taylor expansion of 2 in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.084 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.086 * [taylor]: Taking taylor expansion of y in x 1.087 * [taylor]: Taking taylor expansion of 1 in y 1.087 * [taylor]: Taking taylor expansion of 0 in y 1.092 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.092 * [taylor]: Taking taylor expansion of 3 in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.111 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.111 * [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))) 1.111 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.111 * [taylor]: Taking taylor expansion of 2 in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.114 * [taylor]: Taking taylor expansion of 2 in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.117 * [taylor]: Taking taylor expansion of y in y 1.118 * [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 1.118 * [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))) 1.118 * [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 1.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.119 * [taylor]: Taking taylor expansion of 2 in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.119 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.121 * [taylor]: Taking taylor expansion of 2 in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.121 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.124 * [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 1.124 * [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))) 1.124 * [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 1.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.124 * [taylor]: Taking taylor expansion of 2 in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.124 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.127 * [taylor]: Taking taylor expansion of 2 in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.129 * [taylor]: Taking taylor expansion of y in x 1.130 * [taylor]: Taking taylor expansion of 1 in y 1.130 * [taylor]: Taking taylor expansion of 0 in y 1.135 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.135 * [taylor]: Taking taylor expansion of 3 in y 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.141 * [taylor]: Taking taylor expansion of 0 in y 1.151 * [taylor]: Taking taylor expansion of 0 in y 1.153 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.153 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.153 * [taylor]: Taking taylor expansion of x in y 1.153 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.153 * [taylor]: Taking taylor expansion of 2 in y 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.153 * [taylor]: Taking taylor expansion of y in y 1.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.153 * [taylor]: Taking taylor expansion of 2 in x 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.153 * [taylor]: Taking taylor expansion of y in x 1.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.153 * [taylor]: Taking taylor expansion of 2 in x 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.153 * [taylor]: Taking taylor expansion of y in x 1.153 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.153 * [taylor]: Taking taylor expansion of 2 in y 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.153 * [taylor]: Taking taylor expansion of y in y 1.154 * [taylor]: Taking taylor expansion of 0 in y 1.155 * [taylor]: Taking taylor expansion of 1 in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.161 * [taylor]: Taking taylor expansion of 0 in y 1.162 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.162 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.162 * [taylor]: Taking taylor expansion of x in y 1.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.162 * [taylor]: Taking taylor expansion of 2 in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.162 * [taylor]: Taking taylor expansion of y in y 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.162 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.163 * [taylor]: Taking taylor expansion of 2 in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.163 * [taylor]: Taking taylor expansion of y in x 1.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.164 * [taylor]: Taking taylor expansion of 2 in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.164 * [taylor]: Taking taylor expansion of 1 in y 1.165 * [taylor]: Taking taylor expansion of 0 in y 1.171 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.171 * [taylor]: Taking taylor expansion of 2 in y 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.171 * [taylor]: Taking taylor expansion of y in y 1.174 * [taylor]: Taking taylor expansion of 0 in y 1.178 * [taylor]: Taking taylor expansion of 0 in y 1.180 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.180 * [taylor]: Taking taylor expansion of x in y 1.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.180 * [taylor]: Taking taylor expansion of 2 in y 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.180 * [taylor]: Taking taylor expansion of y in y 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.181 * [taylor]: Taking taylor expansion of 2 in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.181 * [taylor]: Taking taylor expansion of y in x 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.182 * [taylor]: Taking taylor expansion of 2 in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.182 * [taylor]: Taking taylor expansion of y in x 1.182 * [taylor]: Taking taylor expansion of 1 in y 1.183 * [taylor]: Taking taylor expansion of 0 in y 1.185 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.185 * [taylor]: Taking taylor expansion of 2 in y 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.185 * [taylor]: Taking taylor expansion of y in y 1.188 * [taylor]: Taking taylor expansion of 0 in y 1.191 * [taylor]: Taking taylor expansion of 0 in y 1.193 * * * [progress]: simplifying candidates 1.194 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.200 * * [simplify]: iteration 0 : 175 enodes (cost 645 ) 1.204 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.217 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.281 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.284 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma x x (fma y y (* y y))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (pow (fma (pow y 2) 3 (pow x 2)) 3) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (exp (fma x x (fma y y (* y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)) (fma y (pow y 5) (pow (fma x x (* y y)) 3)) (fma (pow x 2) (fma x x (* y y)) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) 1.284 * * * [progress]: adding candidates to table 1.490 * * [progress]: iteration 4 / 4 1.490 * * * [progress]: picking best candidate 1.505 * * * * [pick]: Picked # 1.505 * * * [progress]: localizing error 1.519 * * * [progress]: generating rewritten candidates 1.519 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.533 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.535 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 1.542 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 1.548 * * * [progress]: generating series expansions 1.548 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.549 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.549 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.549 * [taylor]: Taking taylor expansion of x in y 1.549 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.549 * [taylor]: Taking taylor expansion of 2 in y 1.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.549 * [taylor]: Taking taylor expansion of y in y 1.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.550 * [taylor]: Taking taylor expansion of 2 in x 1.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.550 * [taylor]: Taking taylor expansion of y in x 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.551 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.551 * [taylor]: Taking taylor expansion of 2 in x 1.551 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.551 * [taylor]: Taking taylor expansion of y in x 1.552 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.552 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.552 * [taylor]: Taking taylor expansion of 2 in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of 0 in y 1.556 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.556 * [taylor]: Taking taylor expansion of 1/2 in y 1.556 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.556 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.556 * [taylor]: Taking taylor expansion of 2 in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.564 * [taylor]: Taking taylor expansion of 0 in y 1.567 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.567 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.567 * [taylor]: Taking taylor expansion of x in y 1.567 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.567 * [taylor]: Taking taylor expansion of 2 in y 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.571 * [taylor]: Taking taylor expansion of 2 in x 1.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.571 * [taylor]: Taking taylor expansion of y in x 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.573 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.573 * [taylor]: Taking taylor expansion of 2 in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.573 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of 1 in y 1.575 * [taylor]: Taking taylor expansion of 0 in y 1.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.577 * [taylor]: Taking taylor expansion of y in y 1.581 * [taylor]: Taking taylor expansion of 0 in y 1.582 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.582 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.582 * [taylor]: Taking taylor expansion of x in y 1.582 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.582 * [taylor]: Taking taylor expansion of 2 in y 1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.583 * [taylor]: Taking taylor expansion of y in y 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.586 * [taylor]: Taking taylor expansion of 2 in x 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.586 * [taylor]: Taking taylor expansion of y in x 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.589 * [taylor]: Taking taylor expansion of 2 in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.589 * [taylor]: Taking taylor expansion of y in x 1.591 * [taylor]: Taking taylor expansion of 1 in y 1.591 * [taylor]: Taking taylor expansion of 0 in y 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.593 * [taylor]: Taking taylor expansion of y in y 1.596 * [taylor]: Taking taylor expansion of 0 in y 1.598 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.598 * [approximate]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in (x y) around 0 1.598 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.598 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.598 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.598 * [taylor]: Taking taylor expansion of (* x x) in y 1.598 * [taylor]: Taking taylor expansion of x in y 1.598 * [taylor]: Taking taylor expansion of x in y 1.598 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.598 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.598 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.598 * [taylor]: Taking taylor expansion of 2 in y 1.599 * [taylor]: Taking taylor expansion of y in y 1.599 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.599 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.599 * [taylor]: Taking taylor expansion of 2 in y 1.600 * [taylor]: Taking taylor expansion of y in y 1.604 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.604 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.604 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.604 * [taylor]: Taking taylor expansion of (* x x) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.604 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.604 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.604 * [taylor]: Taking taylor expansion of 2 in x 1.605 * [taylor]: Taking taylor expansion of y in x 1.605 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.605 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.605 * [taylor]: Taking taylor expansion of 2 in x 1.606 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.611 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.611 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.611 * [taylor]: Taking taylor expansion of (* x x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.611 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.611 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.611 * [taylor]: Taking taylor expansion of 2 in x 1.611 * [taylor]: Taking taylor expansion of y in x 1.611 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.611 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.611 * [taylor]: Taking taylor expansion of 2 in x 1.612 * [taylor]: Taking taylor expansion of y in x 1.617 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.617 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.617 * [taylor]: Taking taylor expansion of 2 in y 1.618 * [taylor]: Taking taylor expansion of y in y 1.618 * [taylor]: Taking taylor expansion of 0 in y 1.629 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.629 * [taylor]: Taking taylor expansion of 1/2 in y 1.629 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.629 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.629 * [taylor]: Taking taylor expansion of 2 in y 1.629 * [taylor]: Taking taylor expansion of y in y 1.639 * [taylor]: Taking taylor expansion of 0 in y 1.642 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in (x y) around 0 1.642 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.643 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.643 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.643 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.643 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.643 * [taylor]: Taking taylor expansion of x in y 1.643 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.643 * [taylor]: Taking taylor expansion of x in y 1.643 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.643 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.643 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.643 * [taylor]: Taking taylor expansion of 2 in y 1.644 * [taylor]: Taking taylor expansion of y in y 1.644 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) 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 y in y 1.650 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.650 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.650 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.651 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.651 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.651 * [taylor]: Taking taylor expansion of 2 in x 1.652 * [taylor]: Taking taylor expansion of y in x 1.652 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.652 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.652 * [taylor]: Taking taylor expansion of 2 in x 1.653 * [taylor]: Taking taylor expansion of y in x 1.655 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.655 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.655 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.656 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.656 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.656 * [taylor]: Taking taylor expansion of 2 in x 1.657 * [taylor]: Taking taylor expansion of y in x 1.657 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.657 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.657 * [taylor]: Taking taylor expansion of 2 in x 1.658 * [taylor]: Taking taylor expansion of y in x 1.660 * [taylor]: Taking taylor expansion of 1 in y 1.660 * [taylor]: Taking taylor expansion of 0 in y 1.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.665 * [taylor]: Taking taylor expansion of 1/2 in y 1.665 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.665 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.665 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.665 * [taylor]: Taking taylor expansion of 2 in y 1.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.665 * [taylor]: Taking taylor expansion of y in y 1.673 * [taylor]: Taking taylor expansion of 0 in y 1.677 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in (x y) around 0 1.677 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.677 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.677 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.677 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.677 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.677 * [taylor]: Taking taylor expansion of -1 in y 1.677 * [taylor]: Taking taylor expansion of x in y 1.677 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.677 * [taylor]: Taking taylor expansion of -1 in y 1.677 * [taylor]: Taking taylor expansion of x in y 1.677 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.677 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.677 * [taylor]: Taking taylor expansion of -1 in y 1.677 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.677 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.677 * [taylor]: Taking taylor expansion of 2 in y 1.678 * [taylor]: Taking taylor expansion of y in y 1.679 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.679 * [taylor]: Taking taylor expansion of -1 in y 1.679 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.679 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.679 * [taylor]: Taking taylor expansion of 2 in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.687 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.687 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.688 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.688 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.688 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.688 * [taylor]: Taking taylor expansion of -1 in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.688 * [taylor]: Taking taylor expansion of -1 in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.688 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.688 * [taylor]: Taking taylor expansion of -1 in x 1.688 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.688 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.688 * [taylor]: Taking taylor expansion of 2 in x 1.689 * [taylor]: Taking taylor expansion of y in x 1.689 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.689 * [taylor]: Taking taylor expansion of -1 in x 1.689 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.689 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.689 * [taylor]: Taking taylor expansion of 2 in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.693 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.693 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.693 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.693 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.693 * [taylor]: Taking taylor expansion of -1 in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.693 * [taylor]: Taking taylor expansion of -1 in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.694 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.694 * [taylor]: Taking taylor expansion of -1 in x 1.694 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.694 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.694 * [taylor]: Taking taylor expansion of 2 in x 1.694 * [taylor]: Taking taylor expansion of y in x 1.695 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.695 * [taylor]: Taking taylor expansion of -1 in x 1.695 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.695 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.695 * [taylor]: Taking taylor expansion of 2 in x 1.695 * [taylor]: Taking taylor expansion of y in x 1.698 * [taylor]: Taking taylor expansion of 1 in y 1.699 * [taylor]: Taking taylor expansion of 0 in y 1.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.703 * [taylor]: Taking taylor expansion of 1/2 in y 1.703 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.703 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.703 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.703 * [taylor]: Taking taylor expansion of 2 in y 1.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.704 * [taylor]: Taking taylor expansion of y in y 1.718 * [taylor]: Taking taylor expansion of 0 in y 1.721 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 1.722 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.722 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.722 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.722 * [taylor]: Taking taylor expansion of 2 in y 1.722 * [taylor]: Taking taylor expansion of y in y 1.722 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.722 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.722 * [taylor]: Taking taylor expansion of 2 in y 1.723 * [taylor]: Taking taylor expansion of y in y 1.734 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.734 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.734 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.734 * [taylor]: Taking taylor expansion of 2 in y 1.734 * [taylor]: Taking taylor expansion of y in y 1.735 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.735 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.735 * [taylor]: Taking taylor expansion of 2 in y 1.736 * [taylor]: Taking taylor expansion of y in y 1.744 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.744 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.744 * [taylor]: Taking taylor expansion of -1 in y 1.744 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.744 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.744 * [taylor]: Taking taylor expansion of 2 in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.745 * [taylor]: Taking taylor expansion of -1 in y 1.745 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.746 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.746 * [taylor]: Taking taylor expansion of 2 in y 1.746 * [taylor]: Taking taylor expansion of y in y 1.759 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 1.760 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.760 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.760 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.760 * [taylor]: Taking taylor expansion of 2 in y 1.760 * [taylor]: Taking taylor expansion of y in y 1.760 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.760 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.760 * [taylor]: Taking taylor expansion of 2 in y 1.761 * [taylor]: Taking taylor expansion of y in y 1.772 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.772 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.772 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.772 * [taylor]: Taking taylor expansion of 2 in y 1.772 * [taylor]: Taking taylor expansion of y in y 1.773 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.773 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.773 * [taylor]: Taking taylor expansion of 2 in y 1.774 * [taylor]: Taking taylor expansion of y in y 1.782 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.782 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.782 * [taylor]: Taking taylor expansion of -1 in y 1.782 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.782 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.782 * [taylor]: Taking taylor expansion of 2 in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.783 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.783 * [taylor]: Taking taylor expansion of -1 in y 1.783 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.783 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.783 * [taylor]: Taking taylor expansion of 2 in y 1.784 * [taylor]: Taking taylor expansion of y in y 1.803 * * * [progress]: simplifying candidates 1.804 * [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 (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (log1p (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (log (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (exp (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (* (cbrt (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (cbrt (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))))) (cbrt (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (* (* (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) (/ (+ 1 1) 2) (/ 1 2) (/ 2 2) (/ (+ 1 1) 2) (/ 1 2) (/ (* 2 1) 2) (sqrt (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (sqrt (sqrt (* (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y))))) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (+ (log (sqrt 2)) (log y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y)) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (* (sqrt 2) 1) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (* (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) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) 1.808 * * [simplify]: iteration 0 : 174 enodes (cost 446 ) 1.812 * * [simplify]: iteration 1 : 572 enodes (cost 420 ) 1.828 * * [simplify]: iteration 2 : 3320 enodes (cost 376 ) 1.904 * * [simplify]: iteration 3 : 5001 enodes (cost 376 ) 1.907 * [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 (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) 1 (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) (expm1 (sqrt (+ (+ (* 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) (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) 1 1/2 1 1 1/2 1 (sqrt (hypot x (* (sqrt 2) y))) (sqrt (hypot x (* (sqrt 2) y))) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (log (* (sqrt 2) y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (sqrt 2) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (* (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) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) 1.907 * * * [progress]: adding candidates to table 2.185 * [progress]: [Phase 3 of 3] Extracting. 2.185 * * [regime]: Finding splitpoints for: (# # # # # #) 2.187 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 2.187 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.209 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 2.224 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.247 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 2.262 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.285 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.312 * * * [regime]: Found split indices: #