13.954 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [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)) 0.022 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.024 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.025 * * [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 ) 0.036 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.038 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.042 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.048 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.077 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.303 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.305 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.307 * * [progress]: iteration 1 / 4 0.307 * * * [progress]: picking best candidate 0.309 * * * * [pick]: Picked # 0.310 * * * [progress]: localizing error 0.315 * * * [progress]: generating rewritten candidates 0.315 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.316 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.316 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.316 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.316 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.316 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.316 * [taylor]: Taking taylor expansion of 3 in x 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.316 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.316 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of 3 in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.316 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.316 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of 3 in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of 0 in x 0.318 * [taylor]: Taking taylor expansion of 3 in x 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.322 * [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 0.323 * [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 x 0.323 * [taylor]: Taking taylor expansion of 3 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [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 0.324 * [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 0.324 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.324 * [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 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of 3 in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.335 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.335 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.336 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.336 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.336 * [taylor]: Taking taylor expansion of 3 in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.336 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.336 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of 3 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.337 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.337 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.337 * [taylor]: Taking taylor expansion of 3 in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of 3 in x 0.340 * [taylor]: Taking taylor expansion of 0 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of 0 in x 0.351 * [taylor]: Taking taylor expansion of 0 in x 0.352 * * * [progress]: simplifying candidates 0.352 * [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))) 0.355 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.356 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.358 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.364 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.404 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.405 * [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)) 0.405 * * * [progress]: adding candidates to table 0.428 * * [progress]: iteration 2 / 4 0.428 * * * [progress]: picking best candidate 0.435 * * * * [pick]: Picked # 0.435 * * * [progress]: localizing error 0.441 * * * [progress]: generating rewritten candidates 0.441 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.450 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.456 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.460 * * * [progress]: generating series expansions 0.460 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.461 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.461 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.461 * [taylor]: Taking taylor expansion of 3 in y 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.461 * [taylor]: Taking taylor expansion of 3 in x 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.461 * [taylor]: Taking taylor expansion of 3 in x 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.461 * [taylor]: Taking taylor expansion of 3 in y 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of 1 in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.472 * [taylor]: Taking taylor expansion of 3 in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.473 * [taylor]: Taking taylor expansion of 3 in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.474 * [taylor]: Taking taylor expansion of 3 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of 1 in y 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.477 * [taylor]: Taking taylor expansion of 3 in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.485 * [taylor]: Taking taylor expansion of 3 in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.486 * [taylor]: Taking taylor expansion of 3 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.487 * [taylor]: Taking taylor expansion of 3 in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of 1 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of 3 in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.498 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.498 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.498 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of 2 in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of 2 in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of 2 in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of 2 in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of 1 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.506 * [taylor]: Taking taylor expansion of 2 in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.507 * [taylor]: Taking taylor expansion of 2 in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.508 * [taylor]: Taking taylor expansion of 2 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of 1 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.511 * [taylor]: Taking taylor expansion of 2 in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.519 * [taylor]: Taking taylor expansion of 2 in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.520 * [taylor]: Taking taylor expansion of 2 in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.521 * [taylor]: Taking taylor expansion of 2 in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [taylor]: Taking taylor expansion of 1 in y 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.523 * [taylor]: Taking taylor expansion of 2 in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.531 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.531 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.531 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.531 * [taylor]: Taking taylor expansion of x in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [taylor]: Taking taylor expansion of 1 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of 1 in y 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 (/ 1 (pow y 2)) in y 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 0.550 * [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 (pow x 2)) (/ 1 (pow y 2))) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.551 * [taylor]: Taking taylor expansion of x 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 0.552 * [taylor]: Taking taylor expansion of 1 in y 0.553 * [taylor]: Taking taylor expansion of 0 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 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.559 * * * [progress]: simplifying candidates 0.560 * [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)) 0.564 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.570 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.591 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.691 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.693 * [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)) 0.693 * * * [progress]: adding candidates to table 0.813 * * [progress]: iteration 3 / 4 0.813 * * * [progress]: picking best candidate 0.826 * * * * [pick]: Picked # 0.826 * * * [progress]: localizing error 0.834 * * * [progress]: generating rewritten candidates 0.834 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.847 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.848 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.855 * * * [progress]: generating series expansions 0.855 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.855 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.855 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.855 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.855 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.855 * [taylor]: Taking taylor expansion of x in y 0.855 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.855 * [taylor]: Taking taylor expansion of 2 in y 0.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.856 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.856 * [taylor]: Taking taylor expansion of 2 in x 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.857 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of 2 in x 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.858 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.858 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.858 * [taylor]: Taking taylor expansion of 2 in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.863 * [taylor]: Taking taylor expansion of 1/2 in y 0.863 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.863 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.863 * [taylor]: Taking taylor expansion of 2 in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.874 * [taylor]: Taking taylor expansion of 2 in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.877 * [taylor]: Taking taylor expansion of 2 in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.880 * [taylor]: Taking taylor expansion of 2 in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.882 * [taylor]: Taking taylor expansion of 1 in y 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.889 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.889 * [taylor]: Taking taylor expansion of x in y 0.889 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.889 * [taylor]: Taking taylor expansion of 2 in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.893 * [taylor]: Taking taylor expansion of 2 in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.893 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.896 * [taylor]: Taking taylor expansion of 2 in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.896 * [taylor]: Taking taylor expansion of y in x 0.898 * [taylor]: Taking taylor expansion of 1 in y 0.898 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.905 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.905 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.905 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.905 * [taylor]: Taking taylor expansion of 2 in y 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.906 * [taylor]: Taking taylor expansion of 2 in x 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.907 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of 2 in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.908 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.908 * [taylor]: Taking taylor expansion of 2 in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.912 * [taylor]: Taking taylor expansion of 1/2 in y 0.912 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.912 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.912 * [taylor]: Taking taylor expansion of 2 in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.923 * [taylor]: Taking taylor expansion of 2 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.930 * [taylor]: Taking taylor expansion of 2 in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.932 * [taylor]: Taking taylor expansion of 2 in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of 1 in y 0.934 * [taylor]: Taking taylor expansion of 0 in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.941 * [taylor]: Taking taylor expansion of x in y 0.941 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.941 * [taylor]: Taking taylor expansion of 2 in y 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.945 * [taylor]: Taking taylor expansion of 2 in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.947 * [taylor]: Taking taylor expansion of 2 in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of 1 in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.956 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.956 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 0.956 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 0.956 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.956 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.956 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.956 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.956 * [taylor]: Taking taylor expansion of x in y 0.956 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.956 * [taylor]: Taking taylor expansion of 2 in y 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.957 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.957 * [taylor]: Taking taylor expansion of x in y 0.957 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.957 * [taylor]: Taking taylor expansion of 2 in y 0.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.958 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.958 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.958 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.958 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.958 * [taylor]: Taking taylor expansion of 2 in x 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.959 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 0.959 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.959 * [taylor]: Taking taylor expansion of 2 in x 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.960 * [taylor]: Taking taylor expansion of y in x 0.960 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 0.960 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 0.960 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 0.960 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.960 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.960 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.960 * [taylor]: Taking taylor expansion of 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 0.961 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.961 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.961 * [taylor]: Taking taylor expansion of 2 in x 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.961 * [taylor]: Taking taylor expansion of y in x 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 0.963 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 0.963 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.963 * [taylor]: Taking taylor expansion of 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 0.965 * [taylor]: Taking taylor expansion of 0 in y 0.970 * [taylor]: Taking taylor expansion of 1 in y 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.993 * [taylor]: Taking taylor expansion of 0 in y 0.995 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 0.995 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 0.995 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 0.995 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 0.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.995 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.995 * [taylor]: Taking taylor expansion of x in y 0.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.995 * [taylor]: Taking taylor expansion of 2 in y 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.998 * [taylor]: Taking taylor expansion of x in y 0.998 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.998 * [taylor]: Taking taylor expansion of 2 in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.002 * [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 1.002 * [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))) 1.002 * [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 1.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.002 * [taylor]: Taking taylor expansion of 2 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.002 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.005 * [taylor]: Taking taylor expansion of 2 in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.005 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.007 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.007 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.008 * [taylor]: Taking taylor expansion of 2 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.012 * [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 (pow y 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of 1 in y 1.016 * [taylor]: Taking taylor expansion of 0 in y 1.021 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.021 * [taylor]: Taking taylor expansion of 3 in y 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.027 * [taylor]: Taking taylor expansion of 0 in y 1.036 * [taylor]: Taking taylor expansion of 0 in y 1.038 * [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 1.038 * [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 1.038 * [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))) 1.038 * [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 1.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.039 * [taylor]: Taking taylor expansion of x in y 1.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.039 * [taylor]: Taking taylor expansion of 2 in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.042 * [taylor]: Taking taylor expansion of 2 in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [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 1.045 * [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))) 1.046 * [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 1.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.046 * [taylor]: Taking taylor expansion of 2 in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.049 * [taylor]: Taking taylor expansion of 2 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.049 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [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 1.051 * [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))) 1.051 * [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 1.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.052 * [taylor]: Taking taylor expansion of 2 in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.054 * [taylor]: Taking taylor expansion of 2 in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.057 * [taylor]: Taking taylor expansion of 1 in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.062 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.062 * [taylor]: Taking taylor expansion of 3 in y 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.062 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of 0 in y 1.077 * [taylor]: Taking taylor expansion of 0 in y 1.079 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.079 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.079 * [taylor]: Taking taylor expansion of x in y 1.079 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.079 * [taylor]: Taking taylor expansion of 2 in y 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.079 * [taylor]: Taking taylor expansion of 2 in x 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.079 * [taylor]: Taking taylor expansion of 2 in x 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.079 * [taylor]: Taking taylor expansion of y in x 1.080 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.080 * [taylor]: Taking taylor expansion of 2 in y 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.080 * [taylor]: Taking taylor expansion of y in y 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.082 * [taylor]: Taking taylor expansion of 1 in y 1.084 * [taylor]: Taking taylor expansion of 0 in y 1.087 * [taylor]: Taking taylor expansion of 0 in y 1.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.087 * [taylor]: Taking taylor expansion of x in y 1.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.088 * [taylor]: Taking taylor expansion of 2 in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.089 * [taylor]: Taking taylor expansion of 2 in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.089 * [taylor]: Taking taylor expansion of y in x 1.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.089 * [taylor]: Taking taylor expansion of 2 in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.089 * [taylor]: Taking taylor expansion of y in x 1.090 * [taylor]: Taking taylor expansion of 1 in y 1.091 * [taylor]: Taking taylor expansion of 0 in y 1.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.092 * [taylor]: Taking taylor expansion of 2 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 1.098 * [taylor]: Taking taylor expansion of 0 in y 1.101 * [taylor]: Taking taylor expansion of 0 in y 1.103 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.103 * [taylor]: Taking taylor expansion of x in y 1.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.104 * [taylor]: Taking taylor expansion of 2 in y 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.104 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.105 * [taylor]: Taking taylor expansion of 2 in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.105 * [taylor]: Taking taylor expansion of 2 in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of 1 in y 1.107 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.108 * [taylor]: Taking taylor expansion of 2 in y 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.108 * [taylor]: Taking taylor expansion of y in y 1.111 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.116 * * * [progress]: simplifying candidates 1.117 * [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))) 1.122 * * [simplify]: iteration 0 : 175 enodes (cost 645 ) 1.126 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.140 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.203 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.206 * [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))) 1.206 * * * [progress]: adding candidates to table 1.408 * * [progress]: iteration 4 / 4 1.408 * * * [progress]: picking best candidate 1.422 * * * * [pick]: Picked # 1.422 * * * [progress]: localizing error 1.436 * * * [progress]: generating rewritten candidates 1.436 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.441 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.446 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.446 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.454 * * * [progress]: generating series expansions 1.454 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.454 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.454 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.454 * [taylor]: Taking taylor expansion of x in y 1.454 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.454 * [taylor]: Taking taylor expansion of 2 in y 1.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.454 * [taylor]: Taking taylor expansion of y in y 1.455 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.455 * [taylor]: Taking taylor expansion of 2 in x 1.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.455 * [taylor]: Taking taylor expansion of y in x 1.456 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.456 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.456 * [taylor]: Taking taylor expansion of 2 in x 1.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.456 * [taylor]: Taking taylor expansion of y in x 1.457 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.457 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.457 * [taylor]: Taking taylor expansion of 2 in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.458 * [taylor]: Taking taylor expansion of 0 in y 1.461 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.461 * [taylor]: Taking taylor expansion of 1/2 in y 1.461 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.461 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.461 * [taylor]: Taking taylor expansion of 2 in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.472 * [taylor]: Taking taylor expansion of 0 in y 1.475 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.475 * [taylor]: Taking taylor expansion of x in y 1.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.475 * [taylor]: Taking taylor expansion of 2 in y 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.475 * [taylor]: Taking taylor expansion of y in y 1.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.479 * [taylor]: Taking taylor expansion of 2 in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.479 * [taylor]: Taking taylor expansion of y in x 1.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.481 * [taylor]: Taking taylor expansion of 2 in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.481 * [taylor]: Taking taylor expansion of y in x 1.483 * [taylor]: Taking taylor expansion of 1 in y 1.483 * [taylor]: Taking taylor expansion of 0 in y 1.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.485 * [taylor]: Taking taylor expansion of y in y 1.488 * [taylor]: Taking taylor expansion of 0 in y 1.490 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.490 * [taylor]: Taking taylor expansion of x in y 1.490 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.490 * [taylor]: Taking taylor expansion of 2 in y 1.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.490 * [taylor]: Taking taylor expansion of y in y 1.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.493 * [taylor]: Taking taylor expansion of 2 in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.493 * [taylor]: Taking taylor expansion of y in x 1.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.496 * [taylor]: Taking taylor expansion of 2 in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.496 * [taylor]: Taking taylor expansion of y in x 1.498 * [taylor]: Taking taylor expansion of 1 in y 1.498 * [taylor]: Taking taylor expansion of 0 in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.503 * [taylor]: Taking taylor expansion of 0 in y 1.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.504 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 1.504 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.504 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.504 * [taylor]: Taking taylor expansion of 2 in y 1.505 * [taylor]: Taking taylor expansion of y in y 1.505 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.505 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.505 * [taylor]: Taking taylor expansion of 2 in y 1.506 * [taylor]: Taking taylor expansion of y in y 1.516 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 1.516 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.516 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.516 * [taylor]: Taking taylor expansion of 2 in y 1.517 * [taylor]: Taking taylor expansion of y in y 1.518 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.518 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.518 * [taylor]: Taking taylor expansion of 2 in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.526 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 1.526 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.526 * [taylor]: Taking taylor expansion of -1 in y 1.526 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.526 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.526 * [taylor]: Taking taylor expansion of 2 in y 1.527 * [taylor]: Taking taylor expansion of y in y 1.527 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.527 * [taylor]: Taking taylor expansion of -1 in y 1.527 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.527 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.527 * [taylor]: Taking taylor expansion of 2 in y 1.528 * [taylor]: Taking taylor expansion of y in y 1.541 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.542 * [approximate]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 1.542 * [taylor]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 1.542 * [taylor]: Rewrote expression to (+ (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.542 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 1.542 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in y 1.542 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.542 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in y 1.542 * [taylor]: Taking taylor expansion of (* x x) in y 1.542 * [taylor]: Taking taylor expansion of x in y 1.542 * [taylor]: Taking taylor expansion of x in y 1.542 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 1.542 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.542 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.542 * [taylor]: Taking taylor expansion of 2 in y 1.543 * [taylor]: Taking taylor expansion of y in y 1.543 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.543 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.543 * [taylor]: Taking taylor expansion of 2 in y 1.543 * [taylor]: Taking taylor expansion of y in y 1.550 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.550 * [taylor]: Taking taylor expansion of x in y 1.550 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.550 * [taylor]: Taking taylor expansion of 2 in y 1.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.550 * [taylor]: Taking taylor expansion of y in y 1.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.551 * [taylor]: Taking taylor expansion of y in y 1.551 * [taylor]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 1.551 * [taylor]: Rewrote expression to (+ (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.551 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.551 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.551 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.551 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.551 * [taylor]: Taking taylor expansion of (* x x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.551 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.551 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.551 * [taylor]: Taking taylor expansion of 2 in x 1.552 * [taylor]: Taking taylor expansion of y in x 1.552 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.552 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.552 * [taylor]: Taking taylor expansion of 2 in x 1.553 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.557 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.557 * [taylor]: Taking taylor expansion of 2 in x 1.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.558 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of (fma (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 1.559 * [taylor]: Rewrote expression to (+ (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.559 * [taylor]: Taking taylor expansion of (* (hypot x (* (sqrt 2) y)) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.559 * [taylor]: Taking taylor expansion of (hypot x (* (sqrt 2) y)) in x 1.559 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y)))) 1.559 * [taylor]: Taking taylor expansion of (+ (* x x) (* (* (sqrt 2) y) (* (sqrt 2) y))) in x 1.559 * [taylor]: Taking taylor expansion of (* x x) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 1.559 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.559 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.559 * [taylor]: Taking taylor expansion of 2 in x 1.559 * [taylor]: Taking taylor expansion of y in x 1.559 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 1.559 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.559 * [taylor]: Taking taylor expansion of 2 in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.565 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.565 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.565 * [taylor]: Taking taylor expansion of 2 in x 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.565 * [taylor]: Taking taylor expansion of y in x 1.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.566 * [taylor]: Taking taylor expansion of y in x 1.567 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (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 1.567 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.567 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.567 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.567 * [taylor]: Taking taylor expansion of 2 in y 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.569 * [taylor]: Taking taylor expansion of 0 in y 1.577 * [taylor]: Taking taylor expansion of 1 in y 1.590 * [taylor]: Taking taylor expansion of 0 in y 1.605 * [taylor]: Taking taylor expansion of 0 in y 1.607 * [approximate]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.607 * [taylor]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.607 * [taylor]: Rewrote expression to (+ (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.607 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.607 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in y 1.607 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.607 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in y 1.607 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.607 * [taylor]: Taking taylor expansion of x in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.607 * [taylor]: Taking taylor expansion of x in y 1.607 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 1.607 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.607 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.607 * [taylor]: Taking taylor expansion of 2 in y 1.608 * [taylor]: Taking taylor expansion of y in y 1.609 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.609 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.609 * [taylor]: Taking taylor expansion of 2 in y 1.609 * [taylor]: Taking taylor expansion of y in y 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.614 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.614 * [taylor]: Taking taylor expansion of x in y 1.615 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.615 * [taylor]: Taking taylor expansion of 2 in y 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.615 * [taylor]: Taking taylor expansion of y in y 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.618 * [taylor]: Taking taylor expansion of y in y 1.618 * [taylor]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.618 * [taylor]: Rewrote expression to (+ (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.618 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.618 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.618 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.618 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.618 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.619 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.619 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.619 * [taylor]: Taking taylor expansion of 2 in x 1.620 * [taylor]: Taking taylor expansion of y in x 1.620 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.620 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.620 * [taylor]: Taking taylor expansion of 2 in x 1.621 * [taylor]: Taking taylor expansion of y in x 1.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.624 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.624 * [taylor]: Taking taylor expansion of 2 in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.624 * [taylor]: Taking taylor expansion of y in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.626 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.626 * [taylor]: Taking taylor expansion of y in x 1.626 * [taylor]: Taking taylor expansion of (fma (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.626 * [taylor]: Rewrote expression to (+ (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.626 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ (sqrt 2) y)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.626 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ (sqrt 2) y)) in x 1.626 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y)))) 1.626 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ (sqrt 2) y) (/ (sqrt 2) y))) in x 1.626 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 1.627 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.627 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.627 * [taylor]: Taking taylor expansion of 2 in x 1.630 * [taylor]: Taking taylor expansion of y in x 1.630 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.630 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.630 * [taylor]: Taking taylor expansion of 2 in x 1.631 * [taylor]: Taking taylor expansion of y in x 1.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.634 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.634 * [taylor]: Taking taylor expansion of 2 in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.634 * [taylor]: Taking taylor expansion of y in x 1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.636 * [taylor]: Taking taylor expansion of y in x 1.637 * [taylor]: Taking taylor expansion of 1 in y 1.637 * [taylor]: Taking taylor expansion of 0 in y 1.645 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.645 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.645 * [taylor]: Taking taylor expansion of 1/2 in y 1.645 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.645 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.645 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.645 * [taylor]: Taking taylor expansion of 2 in y 1.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.646 * [taylor]: Taking taylor expansion of y in y 1.648 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.648 * [taylor]: Taking taylor expansion of 2 in y 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.648 * [taylor]: Taking taylor expansion of y in y 1.659 * [taylor]: Taking taylor expansion of 0 in y 1.676 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4))))) in y 1.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.676 * [taylor]: Taking taylor expansion of 1/2 in y 1.676 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.676 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.676 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.676 * [taylor]: Taking taylor expansion of 2 in y 1.676 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.678 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.678 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.678 * [taylor]: Taking taylor expansion of 1/8 in y 1.678 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.678 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.678 * [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 (pow y 4) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.683 * [taylor]: Taking taylor expansion of 1/2 in y 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.683 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.683 * [taylor]: Taking taylor expansion of y in y 1.705 * [approximate]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.705 * [taylor]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.705 * [taylor]: Rewrote expression to (+ (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.705 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.705 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in y 1.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.705 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in y 1.705 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.705 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.705 * [taylor]: Taking taylor expansion of -1 in y 1.705 * [taylor]: Taking taylor expansion of x in y 1.705 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.705 * [taylor]: Taking taylor expansion of -1 in y 1.705 * [taylor]: Taking taylor expansion of x in y 1.705 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 1.705 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.705 * [taylor]: Taking taylor expansion of -1 in y 1.705 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.705 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.705 * [taylor]: Taking taylor expansion of 2 in y 1.706 * [taylor]: Taking taylor expansion of y in y 1.709 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 1.709 * [taylor]: Taking taylor expansion of -1 in y 1.709 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 1.709 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.709 * [taylor]: Taking taylor expansion of 2 in y 1.710 * [taylor]: Taking taylor expansion of y in y 1.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.718 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.718 * [taylor]: Taking taylor expansion of x in y 1.718 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.718 * [taylor]: Taking taylor expansion of 2 in y 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.718 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.721 * [taylor]: Taking taylor expansion of y in y 1.722 * [taylor]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.722 * [taylor]: Rewrote expression to (+ (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.722 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.722 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.722 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.722 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.722 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.722 * [taylor]: Taking taylor expansion of -1 in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.722 * [taylor]: Taking taylor expansion of -1 in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.723 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.723 * [taylor]: Taking taylor expansion of -1 in x 1.723 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.723 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.723 * [taylor]: Taking taylor expansion of 2 in x 1.723 * [taylor]: Taking taylor expansion of y in x 1.724 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.724 * [taylor]: Taking taylor expansion of -1 in x 1.724 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.724 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.724 * [taylor]: Taking taylor expansion of 2 in x 1.724 * [taylor]: Taking taylor expansion of y in x 1.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.728 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.728 * [taylor]: Taking taylor expansion of 2 in x 1.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.728 * [taylor]: Taking taylor expansion of y in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.730 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.730 * [taylor]: Taking taylor expansion of y in x 1.730 * [taylor]: Taking taylor expansion of (fma (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.730 * [taylor]: Rewrote expression to (+ (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.730 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.730 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (* -1 (/ (sqrt 2) y))) in x 1.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))))) 1.730 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y)))) in x 1.730 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.730 * [taylor]: Taking taylor expansion of -1 in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.731 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.731 * [taylor]: Taking taylor expansion of -1 in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.731 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 1.731 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.731 * [taylor]: Taking taylor expansion of -1 in x 1.731 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.731 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.731 * [taylor]: Taking taylor expansion of 2 in x 1.732 * [taylor]: Taking taylor expansion of y in x 1.732 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 1.732 * [taylor]: Taking taylor expansion of -1 in x 1.732 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 1.732 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.732 * [taylor]: Taking taylor expansion of 2 in x 1.733 * [taylor]: Taking taylor expansion of y in x 1.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.736 * [taylor]: Taking taylor expansion of 2 in x 1.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.736 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.736 * [taylor]: Taking taylor expansion of y in x 1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.738 * [taylor]: Taking taylor expansion of y in x 1.739 * [taylor]: Taking taylor expansion of 1 in y 1.739 * [taylor]: Taking taylor expansion of 0 in y 1.747 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) (* 2 (/ 1 (pow y 2)))) in y 1.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 2))) in y 1.747 * [taylor]: Taking taylor expansion of 1/2 in y 1.747 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 2)) in y 1.747 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.747 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.747 * [taylor]: Taking taylor expansion of 2 in y 1.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.748 * [taylor]: Taking taylor expansion of y in y 1.750 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.750 * [taylor]: Taking taylor expansion of 2 in y 1.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.750 * [taylor]: Taking taylor expansion of y in y 1.763 * [taylor]: Taking taylor expansion of 0 in y 1.781 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4))))) in y 1.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow y 4))) in y 1.781 * [taylor]: Taking taylor expansion of 1/2 in y 1.781 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow y 4)) in y 1.781 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.781 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.781 * [taylor]: Taking taylor expansion of 2 in y 1.781 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.781 * [taylor]: Taking taylor expansion of y in y 1.783 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) (* 1/2 (/ 1 (pow y 4)))) in y 1.783 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow y 4))) in y 1.783 * [taylor]: Taking taylor expansion of 1/8 in y 1.783 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow y 4)) in y 1.784 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in y 1.784 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.784 * [taylor]: Taking taylor expansion of 2 in y 1.784 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.784 * [taylor]: Taking taylor expansion of y in y 1.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 4))) in y 1.788 * [taylor]: Taking taylor expansion of 1/2 in y 1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.788 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.788 * [taylor]: Taking taylor expansion of y in y 1.812 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.812 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.812 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.812 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.812 * [taylor]: Taking taylor expansion of x in y 1.812 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.812 * [taylor]: Taking taylor expansion of 2 in y 1.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.812 * [taylor]: Taking taylor expansion of y in y 1.812 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.812 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.813 * [taylor]: Taking taylor expansion of 2 in x 1.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.813 * [taylor]: Taking taylor expansion of y in x 1.813 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.813 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.813 * [taylor]: Taking taylor expansion of 2 in x 1.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.813 * [taylor]: Taking taylor expansion of y in x 1.813 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.813 * [taylor]: Taking taylor expansion of 2 in y 1.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.813 * [taylor]: Taking taylor expansion of y in y 1.814 * [taylor]: Taking taylor expansion of 0 in y 1.815 * [taylor]: Taking taylor expansion of 1 in y 1.817 * [taylor]: Taking taylor expansion of 0 in y 1.820 * [taylor]: Taking taylor expansion of 0 in y 1.821 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.821 * [taylor]: Taking taylor expansion of x in y 1.821 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.821 * [taylor]: Taking taylor expansion of 2 in y 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.821 * [taylor]: Taking taylor expansion of y in y 1.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.822 * [taylor]: Taking taylor expansion of 2 in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.822 * [taylor]: Taking taylor expansion of y in x 1.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.823 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.823 * [taylor]: Taking taylor expansion of 2 in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.823 * [taylor]: Taking taylor expansion of y in x 1.823 * [taylor]: Taking taylor expansion of 1 in y 1.824 * [taylor]: Taking taylor expansion of 0 in y 1.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.825 * [taylor]: Taking taylor expansion of 2 in y 1.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.825 * [taylor]: Taking taylor expansion of y in y 1.828 * [taylor]: Taking taylor expansion of 0 in y 1.831 * [taylor]: Taking taylor expansion of 0 in y 1.833 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.833 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.833 * [taylor]: Taking taylor expansion of x in y 1.834 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.834 * [taylor]: Taking taylor expansion of 2 in y 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.834 * [taylor]: Taking taylor expansion of y in y 1.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.835 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.835 * [taylor]: Taking taylor expansion of 2 in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.835 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.835 * [taylor]: Taking taylor expansion of y in x 1.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.835 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.835 * [taylor]: Taking taylor expansion of 2 in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.835 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.835 * [taylor]: Taking taylor expansion of y in x 1.836 * [taylor]: Taking taylor expansion of 1 in y 1.837 * [taylor]: Taking taylor expansion of 0 in y 1.838 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.838 * [taylor]: Taking taylor expansion of 2 in y 1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.838 * [taylor]: Taking taylor expansion of y in y 1.840 * [taylor]: Taking taylor expansion of 0 in y 1.844 * [taylor]: Taking taylor expansion of 0 in y 1.846 * * * [progress]: simplifying candidates 1.847 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (+ (log (sqrt 2)) (log y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y)) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (* (sqrt 2) 1) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* 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) (* (sqrt 2) y) (* (sqrt 2) y) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2))))) (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2))))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.852 * * [simplify]: iteration 0 : 244 enodes (cost 579 ) 1.857 * * [simplify]: iteration 1 : 1076 enodes (cost 487 ) 1.883 * * [simplify]: iteration 2 : 5001 enodes (cost 463 ) 1.886 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (log (* (sqrt 2) y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (sqrt 2) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (fma x x (* (pow y 2) 2)) 1) (log (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (pow (exp (sqrt 1)) (fma x x (* (pow y 2) 2))) (exp (pow y 2))) (* (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (pow (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (hypot x (* (sqrt 2) y)) (pow y 2)) 3) (sqrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (* (sqrt 1) (hypot x (* (sqrt 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (* (pow y 2) 2))) (exp (fma x x (* (pow y 2) 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (* (pow y 2) 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 (* (pow y 2) 2)) 3) (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)) (fma (pow y 4) (pow y 2) (pow (fma x x (* y y)) 3)) (+ (pow y 4) (* (pow x 2) (fma x x (* y y)))) (* (fma x x (* (pow y 2) 2)) (pow x 2)) (pow x 2) (* (pow y 2) 2) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (fma x x (* 3 (pow y 2))) (fma x x (* 3 (pow y 2))) (fma x x (* 3 (pow y 2))) (fma x x (* (pow y 2) 2)) (fma x x (* (pow y 2) 2)) (fma x x (* (pow y 2) 2)) 1.886 * * * [progress]: adding candidates to table 2.148 * [progress]: [Phase 3 of 3] Extracting. 2.148 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.150 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 2.150 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 2.179 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 2.206 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # # #) 2.236 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.266 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.294 * * * [regime]: Found split indices: #