34.911 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.034 * * * [progress]: [2/2] Setting up program.
0.037 * [progress]: [Phase 2 of 3] Improving.
0.037 * [simplify]: Simplifying:
  (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
0.038 * * [simplify]: Extracting # 0 : cost  0
0.038 * * [simplify]: Extracting # 1 : cost  0
0.038 * * [simplify]: Extracting # 2 : cost  0
0.038 * * [simplify]: Extracting # 3 : cost  0
0.038 * * [simplify]: Extracting # 4 : cost  0
0.038 * * [simplify]: Extracting # 5 : cost  0
0.038 * * [simplify]: iteration  0 :  9  enodes  (cost  19 )
0.042 * * [simplify]: Extracting # 0 : cost  0
0.042 * * [simplify]: Extracting # 1 : cost  0
0.042 * * [simplify]: Extracting # 2 : cost  0
0.042 * * [simplify]: iteration  1 :  17  enodes  (cost  19 )
0.049 * * [simplify]: Extracting # 0 : cost  0
0.049 * * [simplify]: Extracting # 1 : cost  0
0.049 * * [simplify]: Extracting # 2 : cost  0
0.049 * * [simplify]: iteration  2 :  35  enodes  (cost  19 )
0.065 * * [simplify]: Extracting # 0 : cost  0
0.065 * * [simplify]: Extracting # 1 : cost  0
0.065 * * [simplify]: Extracting # 2 : cost  0
0.066 * * [simplify]: iteration  3 :  67  enodes  (cost  19 )
0.098 * * [simplify]: Extracting # 0 : cost  0
0.098 * * [simplify]: Extracting # 1 : cost  0
0.098 * * [simplify]: Extracting # 2 : cost  0
0.099 * * [simplify]: iteration  4 :  111  enodes  (cost  19 )
0.141 * * [simplify]: Extracting # 0 : cost  0
0.141 * * [simplify]: Extracting # 1 : cost  0
0.141 * * [simplify]: Extracting # 2 : cost  0
0.142 * * [simplify]: iteration  5 :  158  enodes  (cost  19 )
0.197 * * [simplify]: Extracting # 0 : cost  0
0.197 * * [simplify]: Extracting # 1 : cost  0
0.198 * * [simplify]: Extracting # 2 : cost  0
0.198 * * [simplify]: iteration  6 :  173  enodes  (cost  19 )
0.288 * * [simplify]: Extracting # 0 : cost  0
0.289 * * [simplify]: iteration  7 :  174  enodes  (cost  19 )
0.375 * * [simplify]: Extracting # 0 : cost  0
0.375 * * [simplify]: iteration done:  174  enodes  (cost  19 )
0.375 * [simplify]: Simplified to:
  (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
0.376 * * [progress]: iteration 1 / 4
0.376 * * * [progress]: picking best candidate
0.378 * * * * [pick]: Picked  #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))>
0.378 * * * [progress]: localizing error
0.390 * * * [progress]: generating rewritten candidates
0.390 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.425 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.443 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.460 * * * [progress]: generating series expansions
0.460 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.460 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))
0.460 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0
0.460 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y
0.460 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.461 * [taylor]: Taking taylor expansion of x in y
0.461 * [backup-simplify]: Simplify x into x
0.461 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.461 * [taylor]: Taking taylor expansion of 4.0 in y
0.461 * [backup-simplify]: Simplify 4.0 into 4.0
0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.461 * [taylor]: Taking taylor expansion of y in y
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.461 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (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 * [backup-simplify]: Simplify x into x
0.461 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.461 * [taylor]: Taking taylor expansion of 4.0 in y
0.461 * [backup-simplify]: Simplify 4.0 into 4.0
0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.461 * [taylor]: Taking taylor expansion of y in y
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.461 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.461 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.461 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.461 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.462 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
0.462 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
0.462 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.462 * [taylor]: Taking taylor expansion of x in x
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.462 * [taylor]: Taking taylor expansion of 4.0 in x
0.462 * [backup-simplify]: Simplify 4.0 into 4.0
0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.462 * [taylor]: Taking taylor expansion of y in x
0.462 * [backup-simplify]: Simplify y into y
0.462 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.462 * [taylor]: Taking taylor expansion of x in x
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.462 * [taylor]: Taking taylor expansion of 4.0 in x
0.462 * [backup-simplify]: Simplify 4.0 into 4.0
0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.462 * [taylor]: Taking taylor expansion of y in x
0.462 * [backup-simplify]: Simplify y into y
0.462 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.462 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.462 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
0.462 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
0.462 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.463 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.463 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
0.463 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
0.463 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
0.463 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.463 * [taylor]: Taking taylor expansion of x in x
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.463 * [taylor]: Taking taylor expansion of 4.0 in x
0.463 * [backup-simplify]: Simplify 4.0 into 4.0
0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.463 * [taylor]: Taking taylor expansion of y in x
0.463 * [backup-simplify]: Simplify y into y
0.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.463 * [taylor]: Taking taylor expansion of x in x
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.463 * [taylor]: Taking taylor expansion of 4.0 in x
0.463 * [backup-simplify]: Simplify 4.0 into 4.0
0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.463 * [taylor]: Taking taylor expansion of y in x
0.463 * [backup-simplify]: Simplify y into y
0.463 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.463 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.463 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
0.464 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
0.464 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.464 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.464 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
0.464 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
0.464 * [taylor]: Taking taylor expansion of -1.0 in y
0.464 * [backup-simplify]: Simplify -1.0 into -1.0
0.464 * [backup-simplify]: Simplify -1.0 into -1.0
0.464 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.465 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.465 * [backup-simplify]: Simplify (- 0) into 0
0.465 * [backup-simplify]: Simplify (+ 0 0) into 0
0.465 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.466 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0
0.466 * [taylor]: Taking taylor expansion of 0 in y
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify (* 1 1) into 1
0.467 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.468 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.468 * [backup-simplify]: Simplify (- 0) into 0
0.468 * [backup-simplify]: Simplify (+ 1 0) into 1
0.468 * [backup-simplify]: Simplify (* 1 1) into 1
0.469 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.469 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.469 * [backup-simplify]: Simplify (+ 1 0) into 1
0.470 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2)))
0.470 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y
0.470 * [taylor]: Taking taylor expansion of 0.5 in y
0.470 * [backup-simplify]: Simplify 0.5 into 0.5
0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.470 * [taylor]: Taking taylor expansion of y in y
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (* 1 1) into 1
0.471 * [backup-simplify]: Simplify (/ 1 1) into 1
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.474 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.475 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.475 * [backup-simplify]: Simplify (- 0) into 0
0.475 * [backup-simplify]: Simplify (+ 0 0) into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.476 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.477 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0
0.478 * [taylor]: Taking taylor expansion of 0 in y
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify -1.0 into -1.0
0.479 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
0.479 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
0.479 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.479 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.479 * [taylor]: Taking taylor expansion of x in y
0.479 * [backup-simplify]: Simplify x into x
0.479 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.479 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.479 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.479 * [taylor]: Taking taylor expansion of 4.0 in y
0.479 * [backup-simplify]: Simplify 4.0 into 4.0
0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.479 * [taylor]: Taking taylor expansion of y in y
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.480 * [backup-simplify]: Simplify (* 1 1) into 1
0.480 * [backup-simplify]: Simplify (/ 1 1) into 1
0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.480 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.480 * [taylor]: Taking taylor expansion of x in y
0.480 * [backup-simplify]: Simplify x into x
0.480 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.480 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.480 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.480 * [taylor]: Taking taylor expansion of 4.0 in y
0.480 * [backup-simplify]: Simplify 4.0 into 4.0
0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.480 * [taylor]: Taking taylor expansion of y in y
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (* 1 1) into 1
0.481 * [backup-simplify]: Simplify (/ 1 1) into 1
0.482 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.482 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.483 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
0.483 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.483 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
0.484 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
0.484 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
0.484 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.484 * [taylor]: Taking taylor expansion of x in x
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.485 * [backup-simplify]: Simplify (/ 1 1) into 1
0.485 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.485 * [taylor]: Taking taylor expansion of 4.0 in x
0.485 * [backup-simplify]: Simplify 4.0 into 4.0
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.485 * [taylor]: Taking taylor expansion of y in x
0.485 * [backup-simplify]: Simplify y into y
0.485 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.486 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 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 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (* 1 1) into 1
0.486 * [backup-simplify]: Simplify (/ 1 1) into 1
0.486 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.486 * [taylor]: Taking taylor expansion of 4.0 in x
0.487 * [backup-simplify]: Simplify 4.0 into 4.0
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
0.487 * [backup-simplify]: Simplify y into y
0.487 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.487 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.487 * [backup-simplify]: Simplify (+ 1 0) into 1
0.488 * [backup-simplify]: Simplify (+ 1 0) into 1
0.488 * [backup-simplify]: Simplify (/ 1 1) into 1
0.488 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
0.488 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.488 * [taylor]: Taking taylor expansion of x in x
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.489 * [backup-simplify]: Simplify (* 1 1) into 1
0.489 * [backup-simplify]: Simplify (/ 1 1) into 1
0.489 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.489 * [taylor]: Taking taylor expansion of 4.0 in x
0.489 * [backup-simplify]: Simplify 4.0 into 4.0
0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.489 * [taylor]: Taking taylor expansion of y in x
0.489 * [backup-simplify]: Simplify y into y
0.489 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.490 * [taylor]: Taking taylor expansion of x in x
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (* 1 1) into 1
0.490 * [backup-simplify]: Simplify (/ 1 1) into 1
0.490 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.490 * [taylor]: Taking taylor expansion of 4.0 in x
0.490 * [backup-simplify]: Simplify 4.0 into 4.0
0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.491 * [taylor]: Taking taylor expansion of y in x
0.491 * [backup-simplify]: Simplify y into y
0.491 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.491 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.491 * [backup-simplify]: Simplify (+ 1 0) into 1
0.492 * [backup-simplify]: Simplify (+ 1 0) into 1
0.492 * [backup-simplify]: Simplify (/ 1 1) into 1
0.492 * [taylor]: Taking taylor expansion of 1 in y
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.494 * [backup-simplify]: Simplify (+ 0 0) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.496 * [taylor]: Taking taylor expansion of 0 in y
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.498 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.498 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.504 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
0.505 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2))))
0.505 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
0.505 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
0.505 * [taylor]: Taking taylor expansion of 8.0 in y
0.505 * [backup-simplify]: Simplify 8.0 into 8.0
0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.505 * [taylor]: Taking taylor expansion of y in y
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (* 1 1) into 1
0.506 * [backup-simplify]: Simplify (/ 1 1) into 1
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
0.510 * [backup-simplify]: Simplify (- 0) into 0
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.513 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.514 * [backup-simplify]: Simplify (- 0) into 0
0.514 * [backup-simplify]: Simplify (+ 0 0) into 0
0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.517 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
0.519 * [taylor]: Taking taylor expansion of 0 in y
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
0.519 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
0.519 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
0.520 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.520 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.520 * [taylor]: Taking taylor expansion of x in y
0.520 * [backup-simplify]: Simplify x into x
0.520 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.520 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.520 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.520 * [taylor]: Taking taylor expansion of 4.0 in y
0.520 * [backup-simplify]: Simplify 4.0 into 4.0
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.520 * [taylor]: Taking taylor expansion of y in y
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (/ 1 1) into 1
0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.521 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.521 * [taylor]: Taking taylor expansion of x in y
0.521 * [backup-simplify]: Simplify x into x
0.521 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.521 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.521 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.521 * [taylor]: Taking taylor expansion of 4.0 in y
0.521 * [backup-simplify]: Simplify 4.0 into 4.0
0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.521 * [taylor]: Taking taylor expansion of y in y
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (* 1 1) into 1
0.522 * [backup-simplify]: Simplify (/ 1 1) into 1
0.522 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.523 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.523 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
0.524 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.524 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
0.525 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
0.525 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
0.525 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.525 * [taylor]: Taking taylor expansion of x in x
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (* 1 1) into 1
0.526 * [backup-simplify]: Simplify (/ 1 1) into 1
0.526 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.526 * [taylor]: Taking taylor expansion of 4.0 in x
0.526 * [backup-simplify]: Simplify 4.0 into 4.0
0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.526 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.526 * [taylor]: Taking taylor expansion of y in x
0.526 * [backup-simplify]: Simplify y into y
0.526 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.526 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.526 * [taylor]: Taking taylor expansion of x in x
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (/ 1 1) into 1
0.527 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.527 * [taylor]: Taking taylor expansion of 4.0 in x
0.527 * [backup-simplify]: Simplify 4.0 into 4.0
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.527 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.527 * [taylor]: Taking taylor expansion of y in x
0.527 * [backup-simplify]: Simplify y into y
0.528 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.528 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.528 * [backup-simplify]: Simplify (+ 1 0) into 1
0.528 * [backup-simplify]: Simplify (+ 1 0) into 1
0.529 * [backup-simplify]: Simplify (/ 1 1) into 1
0.529 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
0.529 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.529 * [taylor]: Taking taylor expansion of x in x
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (* 1 1) into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.530 * [taylor]: Taking taylor expansion of 4.0 in x
0.530 * [backup-simplify]: Simplify 4.0 into 4.0
0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.530 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.530 * [taylor]: Taking taylor expansion of y in x
0.530 * [backup-simplify]: Simplify y into y
0.530 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.530 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.530 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.530 * [taylor]: Taking taylor expansion of x in x
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 1 into 1
0.531 * [backup-simplify]: Simplify (* 1 1) into 1
0.531 * [backup-simplify]: Simplify (/ 1 1) into 1
0.531 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.531 * [taylor]: Taking taylor expansion of 4.0 in x
0.531 * [backup-simplify]: Simplify 4.0 into 4.0
0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.531 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.531 * [taylor]: Taking taylor expansion of y in x
0.531 * [backup-simplify]: Simplify y into y
0.531 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.531 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.532 * [backup-simplify]: Simplify (+ 1 0) into 1
0.532 * [backup-simplify]: Simplify (+ 1 0) into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of 1 in y
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ 0 0) into 0
0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.537 * [taylor]: Taking taylor expansion of 0 in y
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.539 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.539 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.541 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
0.541 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2))))
0.541 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
0.541 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
0.541 * [taylor]: Taking taylor expansion of 8.0 in y
0.541 * [backup-simplify]: Simplify 8.0 into 8.0
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
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (* 1 1) into 1
0.542 * [backup-simplify]: Simplify (/ 1 1) into 1
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.546 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
0.546 * [backup-simplify]: Simplify (- 0) into 0
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.548 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.548 * [backup-simplify]: Simplify (- 0) into 0
0.548 * [backup-simplify]: Simplify (+ 0 0) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
0.551 * [taylor]: Taking taylor expansion of 0 in y
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 1 into 1
0.551 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
0.552 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2)))
0.552 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0
0.552 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
0.552 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.552 * [taylor]: Taking taylor expansion of x in y
0.552 * [backup-simplify]: Simplify x into x
0.552 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.552 * [taylor]: Taking taylor expansion of 4.0 in y
0.552 * [backup-simplify]: Simplify 4.0 into 4.0
0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.552 * [taylor]: Taking taylor expansion of y in y
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.552 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.552 * [taylor]: Taking taylor expansion of x in x
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.552 * [taylor]: Taking taylor expansion of 4.0 in x
0.552 * [backup-simplify]: Simplify 4.0 into 4.0
0.552 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.552 * [taylor]: Taking taylor expansion of y in x
0.552 * [backup-simplify]: Simplify y into y
0.552 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.552 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.552 * [taylor]: Taking taylor expansion of x in x
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.552 * [taylor]: Taking taylor expansion of 4.0 in x
0.552 * [backup-simplify]: Simplify 4.0 into 4.0
0.552 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.552 * [taylor]: Taking taylor expansion of y in x
0.552 * [backup-simplify]: Simplify y into y
0.552 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.552 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.552 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
0.553 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
0.553 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y
0.553 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.553 * [taylor]: Taking taylor expansion of 4.0 in y
0.553 * [backup-simplify]: Simplify 4.0 into 4.0
0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.553 * [taylor]: Taking taylor expansion of y in y
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.553 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.553 * [backup-simplify]: Simplify (- 0) into 0
0.554 * [backup-simplify]: Simplify (+ 0 0) into 0
0.554 * [taylor]: Taking taylor expansion of 0 in y
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.554 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.555 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.555 * [backup-simplify]: Simplify (- 0) into 0
0.555 * [backup-simplify]: Simplify (+ 1 0) into 1
0.555 * [taylor]: Taking taylor expansion of 1 in y
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify (* 1 1) into 1
0.556 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.556 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.556 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.557 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.558 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.558 * [backup-simplify]: Simplify (- 0) into 0
0.558 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [taylor]: Taking taylor expansion of 0 in y
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.560 * [backup-simplify]: Simplify (- 0) into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.561 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
0.562 * [backup-simplify]: Simplify (- 0) into 0
0.562 * [backup-simplify]: Simplify (+ 0 0) into 0
0.562 * [taylor]: Taking taylor expansion of 0 in y
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
0.563 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
0.563 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
0.563 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.563 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.563 * [taylor]: Taking taylor expansion of x in y
0.563 * [backup-simplify]: Simplify x into x
0.563 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.563 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.563 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.563 * [taylor]: Taking taylor expansion of 4.0 in y
0.563 * [backup-simplify]: Simplify 4.0 into 4.0
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.563 * [taylor]: Taking taylor expansion of y in y
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 1 into 1
0.564 * [backup-simplify]: Simplify (* 1 1) into 1
0.564 * [backup-simplify]: Simplify (/ 1 1) into 1
0.564 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.564 * [taylor]: Taking taylor expansion of x in x
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 1 into 1
0.564 * [backup-simplify]: Simplify (* 1 1) into 1
0.564 * [backup-simplify]: Simplify (/ 1 1) into 1
0.565 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.565 * [taylor]: Taking taylor expansion of 4.0 in x
0.565 * [backup-simplify]: Simplify 4.0 into 4.0
0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.565 * [taylor]: Taking taylor expansion of y in x
0.565 * [backup-simplify]: Simplify y into y
0.565 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.565 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.565 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.565 * [taylor]: Taking taylor expansion of x in x
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.566 * [backup-simplify]: Simplify (/ 1 1) into 1
0.566 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.566 * [taylor]: Taking taylor expansion of 4.0 in x
0.566 * [backup-simplify]: Simplify 4.0 into 4.0
0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.566 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.566 * [taylor]: Taking taylor expansion of y in x
0.566 * [backup-simplify]: Simplify y into y
0.566 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.566 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.567 * [backup-simplify]: Simplify (+ 1 0) into 1
0.567 * [taylor]: Taking taylor expansion of 1 in y
0.567 * [backup-simplify]: Simplify 1 into 1
0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ 0 0) into 0
0.568 * [taylor]: Taking taylor expansion of 0 in y
0.568 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.570 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.571 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.571 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
0.571 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.571 * [taylor]: Taking taylor expansion of 4.0 in y
0.571 * [backup-simplify]: Simplify 4.0 into 4.0
0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.571 * [taylor]: Taking taylor expansion of y in y
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.571 * [backup-simplify]: Simplify (* 1 1) into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.572 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.572 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.573 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.573 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.575 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.575 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.576 * [backup-simplify]: Simplify (- 0) into 0
0.576 * [backup-simplify]: Simplify (+ 0 0) into 0
0.576 * [taylor]: Taking taylor expansion of 0 in y
0.576 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.578 * [backup-simplify]: Simplify (- 0) into 0
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.582 * [backup-simplify]: Simplify (- 0) into 0
0.583 * [backup-simplify]: Simplify (+ 0 0) into 0
0.583 * [taylor]: Taking taylor expansion of 0 in y
0.583 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.585 * [backup-simplify]: Simplify (- 0) into 0
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
0.587 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
0.587 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
0.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.587 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.587 * [taylor]: Taking taylor expansion of x in y
0.587 * [backup-simplify]: Simplify x into x
0.587 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.587 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.587 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.587 * [taylor]: Taking taylor expansion of 4.0 in y
0.587 * [backup-simplify]: Simplify 4.0 into 4.0
0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.587 * [taylor]: Taking taylor expansion of y in y
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 1 into 1
0.588 * [backup-simplify]: Simplify (* 1 1) into 1
0.588 * [backup-simplify]: Simplify (/ 1 1) into 1
0.588 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.588 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.588 * [taylor]: Taking taylor expansion of x in x
0.588 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 1 into 1
0.589 * [backup-simplify]: Simplify (* 1 1) into 1
0.589 * [backup-simplify]: Simplify (/ 1 1) into 1
0.589 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.589 * [taylor]: Taking taylor expansion of 4.0 in x
0.589 * [backup-simplify]: Simplify 4.0 into 4.0
0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.589 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.589 * [taylor]: Taking taylor expansion of y in x
0.589 * [backup-simplify]: Simplify y into y
0.590 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.590 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.590 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.590 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.590 * [taylor]: Taking taylor expansion of x in x
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify (* 1 1) into 1
0.591 * [backup-simplify]: Simplify (/ 1 1) into 1
0.591 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.591 * [taylor]: Taking taylor expansion of 4.0 in x
0.591 * [backup-simplify]: Simplify 4.0 into 4.0
0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.591 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.591 * [taylor]: Taking taylor expansion of y in x
0.591 * [backup-simplify]: Simplify y into y
0.591 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.591 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.592 * [backup-simplify]: Simplify (+ 1 0) into 1
0.592 * [taylor]: Taking taylor expansion of 1 in y
0.592 * [backup-simplify]: Simplify 1 into 1
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.594 * [taylor]: Taking taylor expansion of 0 in y
0.594 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.596 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.596 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.596 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
0.596 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.596 * [taylor]: Taking taylor expansion of 4.0 in y
0.596 * [backup-simplify]: Simplify 4.0 into 4.0
0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.596 * [taylor]: Taking taylor expansion of y in y
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 1 into 1
0.596 * [backup-simplify]: Simplify (* 1 1) into 1
0.596 * [backup-simplify]: Simplify (/ 1 1) into 1
0.597 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.597 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.597 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.597 * [backup-simplify]: Simplify 1 into 1
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.598 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.599 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.599 * [backup-simplify]: Simplify (- 0) into 0
0.600 * [backup-simplify]: Simplify (+ 0 0) into 0
0.600 * [taylor]: Taking taylor expansion of 0 in y
0.600 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.601 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.601 * [backup-simplify]: Simplify (- 0) into 0
0.601 * [backup-simplify]: Simplify 0 into 0
0.601 * [backup-simplify]: Simplify 0 into 0
0.601 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.603 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.604 * [backup-simplify]: Simplify (- 0) into 0
0.604 * [backup-simplify]: Simplify (+ 0 0) into 0
0.604 * [taylor]: Taking taylor expansion of 0 in y
0.604 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.606 * [backup-simplify]: Simplify (- 0) into 0
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
0.606 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.607 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2)))
0.607 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0
0.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
0.607 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.607 * [taylor]: Taking taylor expansion of x in y
0.607 * [backup-simplify]: Simplify x into x
0.607 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.607 * [taylor]: Taking taylor expansion of 4.0 in y
0.607 * [backup-simplify]: Simplify 4.0 into 4.0
0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.607 * [taylor]: Taking taylor expansion of y in y
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 1 into 1
0.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.607 * [taylor]: Taking taylor expansion of x in x
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 1 into 1
0.607 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.607 * [taylor]: Taking taylor expansion of 4.0 in x
0.607 * [backup-simplify]: Simplify 4.0 into 4.0
0.607 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.607 * [taylor]: Taking taylor expansion of y in x
0.607 * [backup-simplify]: Simplify y into y
0.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.607 * [taylor]: Taking taylor expansion of x in x
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify 1 into 1
0.607 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.607 * [taylor]: Taking taylor expansion of 4.0 in x
0.607 * [backup-simplify]: Simplify 4.0 into 4.0
0.607 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.607 * [taylor]: Taking taylor expansion of y in x
0.607 * [backup-simplify]: Simplify y into y
0.607 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.607 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.607 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
0.607 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.607 * [taylor]: Taking taylor expansion of 4.0 in y
0.608 * [backup-simplify]: Simplify 4.0 into 4.0
0.608 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.608 * [taylor]: Taking taylor expansion of y in y
0.608 * [backup-simplify]: Simplify 0 into 0
0.608 * [backup-simplify]: Simplify 1 into 1
0.608 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.608 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.608 * [backup-simplify]: Simplify (+ 0 0) into 0
0.608 * [taylor]: Taking taylor expansion of 0 in y
0.608 * [backup-simplify]: Simplify 0 into 0
0.608 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify (* 1 1) into 1
0.609 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.609 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.610 * [backup-simplify]: Simplify (+ 1 0) into 1
0.610 * [taylor]: Taking taylor expansion of 1 in y
0.610 * [backup-simplify]: Simplify 1 into 1
0.610 * [backup-simplify]: Simplify 1 into 1
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify (* 1 1) into 1
0.610 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.610 * [backup-simplify]: Simplify 4.0 into 4.0
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.611 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.612 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.612 * [backup-simplify]: Simplify (+ 0 0) into 0
0.612 * [taylor]: Taking taylor expansion of 0 in y
0.612 * [backup-simplify]: Simplify 0 into 0
0.612 * [backup-simplify]: Simplify 0 into 0
0.612 * [backup-simplify]: Simplify 0 into 0
0.612 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.613 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.613 * [backup-simplify]: Simplify 0 into 0
0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.614 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.615 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
0.615 * [backup-simplify]: Simplify (+ 0 0) into 0
0.615 * [taylor]: Taking taylor expansion of 0 in y
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
0.616 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
0.616 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.616 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.616 * [taylor]: Taking taylor expansion of x in y
0.616 * [backup-simplify]: Simplify x into x
0.616 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.616 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.616 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.616 * [taylor]: Taking taylor expansion of 4.0 in y
0.616 * [backup-simplify]: Simplify 4.0 into 4.0
0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.616 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.616 * [taylor]: Taking taylor expansion of y in y
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify 1 into 1
0.617 * [backup-simplify]: Simplify (* 1 1) into 1
0.617 * [backup-simplify]: Simplify (/ 1 1) into 1
0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.617 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.617 * [taylor]: Taking taylor expansion of x in x
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 1 into 1
0.617 * [backup-simplify]: Simplify (* 1 1) into 1
0.617 * [backup-simplify]: Simplify (/ 1 1) into 1
0.617 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.617 * [taylor]: Taking taylor expansion of 4.0 in x
0.617 * [backup-simplify]: Simplify 4.0 into 4.0
0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.617 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.617 * [taylor]: Taking taylor expansion of y in x
0.617 * [backup-simplify]: Simplify y into y
0.618 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.618 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.618 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.618 * [taylor]: Taking taylor expansion of x in x
0.618 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify 1 into 1
0.618 * [backup-simplify]: Simplify (* 1 1) into 1
0.618 * [backup-simplify]: Simplify (/ 1 1) into 1
0.618 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.618 * [taylor]: Taking taylor expansion of 4.0 in x
0.618 * [backup-simplify]: Simplify 4.0 into 4.0
0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.618 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.618 * [taylor]: Taking taylor expansion of y in x
0.618 * [backup-simplify]: Simplify y into y
0.618 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.618 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.619 * [backup-simplify]: Simplify (+ 1 0) into 1
0.619 * [taylor]: Taking taylor expansion of 1 in y
0.619 * [backup-simplify]: Simplify 1 into 1
0.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (+ 0 0) into 0
0.623 * [taylor]: Taking taylor expansion of 0 in y
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.624 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.624 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
0.624 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.624 * [taylor]: Taking taylor expansion of 4.0 in y
0.624 * [backup-simplify]: Simplify 4.0 into 4.0
0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.624 * [taylor]: Taking taylor expansion of y in y
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify 1 into 1
0.625 * [backup-simplify]: Simplify (* 1 1) into 1
0.625 * [backup-simplify]: Simplify (/ 1 1) into 1
0.625 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.625 * [backup-simplify]: Simplify 4.0 into 4.0
0.625 * [backup-simplify]: Simplify 1 into 1
0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.626 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.627 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.627 * [backup-simplify]: Simplify (+ 0 0) into 0
0.627 * [taylor]: Taking taylor expansion of 0 in y
0.627 * [backup-simplify]: Simplify 0 into 0
0.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.628 * [backup-simplify]: Simplify 0 into 0
0.628 * [backup-simplify]: Simplify 0 into 0
0.629 * [backup-simplify]: Simplify 0 into 0
0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.630 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.631 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.631 * [backup-simplify]: Simplify (+ 0 0) into 0
0.631 * [taylor]: Taking taylor expansion of 0 in y
0.631 * [backup-simplify]: Simplify 0 into 0
0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.633 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.633 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
0.633 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
0.633 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.633 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.633 * [taylor]: Taking taylor expansion of x in y
0.633 * [backup-simplify]: Simplify x into x
0.634 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.634 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.634 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.634 * [taylor]: Taking taylor expansion of 4.0 in y
0.634 * [backup-simplify]: Simplify 4.0 into 4.0
0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.634 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.634 * [taylor]: Taking taylor expansion of y in y
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 1 into 1
0.634 * [backup-simplify]: Simplify (* 1 1) into 1
0.634 * [backup-simplify]: Simplify (/ 1 1) into 1
0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.634 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.634 * [taylor]: Taking taylor expansion of x in x
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 1 into 1
0.635 * [backup-simplify]: Simplify (* 1 1) into 1
0.635 * [backup-simplify]: Simplify (/ 1 1) into 1
0.635 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.635 * [taylor]: Taking taylor expansion of 4.0 in x
0.635 * [backup-simplify]: Simplify 4.0 into 4.0
0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.635 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.635 * [taylor]: Taking taylor expansion of y in x
0.635 * [backup-simplify]: Simplify y into y
0.635 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.635 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.635 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.635 * [taylor]: Taking taylor expansion of x in x
0.635 * [backup-simplify]: Simplify 0 into 0
0.635 * [backup-simplify]: Simplify 1 into 1
0.635 * [backup-simplify]: Simplify (* 1 1) into 1
0.636 * [backup-simplify]: Simplify (/ 1 1) into 1
0.636 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.636 * [taylor]: Taking taylor expansion of 4.0 in x
0.636 * [backup-simplify]: Simplify 4.0 into 4.0
0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.636 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.636 * [taylor]: Taking taylor expansion of y in x
0.636 * [backup-simplify]: Simplify y into y
0.636 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.636 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.636 * [backup-simplify]: Simplify (+ 1 0) into 1
0.636 * [taylor]: Taking taylor expansion of 1 in y
0.636 * [backup-simplify]: Simplify 1 into 1
0.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.637 * [backup-simplify]: Simplify (+ 0 0) into 0
0.637 * [taylor]: Taking taylor expansion of 0 in y
0.637 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.639 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.639 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
0.639 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.639 * [taylor]: Taking taylor expansion of 4.0 in y
0.639 * [backup-simplify]: Simplify 4.0 into 4.0
0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.639 * [taylor]: Taking taylor expansion of y in y
0.639 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify 1 into 1
0.639 * [backup-simplify]: Simplify (* 1 1) into 1
0.639 * [backup-simplify]: Simplify (/ 1 1) into 1
0.640 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.640 * [backup-simplify]: Simplify 4.0 into 4.0
0.640 * [backup-simplify]: Simplify 1 into 1
0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.641 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.641 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.642 * [backup-simplify]: Simplify (+ 0 0) into 0
0.642 * [taylor]: Taking taylor expansion of 0 in y
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.643 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.644 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.645 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.646 * [backup-simplify]: Simplify (+ 0 0) into 0
0.646 * [taylor]: Taking taylor expansion of 0 in y
0.646 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.647 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.647 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
0.648 * * * [progress]: simplifying candidates
0.649 * [simplify]: Simplifying:
  (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
  (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (- (- (* x x) (* (* y 4.0) y)))
  (- (+ (* x x) (* (* y 4.0) y)))
  (/ (* x x) (+ (* x x) (* (* y 4.0) y)))
  (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1)
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1)
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 1)
  (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (+ (* x x) (* (* y 4.0) y)))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) 1)
  (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))
  (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))
  (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))))
  (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
  (/ (exp (* x x)) (exp (* (* y 4.0) y)))
  (log (- (* x x) (* (* y 4.0) y)))
  (exp (- (* x x) (* (* y 4.0) y)))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (cbrt (- (* x x) (* (* y 4.0) y)))
  (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3))
  (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))
  (- (* (* y 4.0) y))
  (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))
  (+ (* x x) (* (* y 4.0) y))
  (- (* (* y 4.0) y))
  (* (exp (* x x)) (exp (* (* y 4.0) y)))
  (log (+ (* x x) (* (* y 4.0) y)))
  (exp (+ (* x x) (* (* y 4.0) y)))
  (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (cbrt (+ (* x x) (* (* y 4.0) y)))
  (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))
  (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))
  (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))
  (- (* x x) (* (* y 4.0) y))
  -1.0
  1
  1
  (- (pow x 2) (* 4.0 (pow y 2)))
  (- (pow x 2) (* 4.0 (pow y 2)))
  (- (pow x 2) (* 4.0 (pow y 2)))
  (+ (pow x 2) (* 4.0 (pow y 2)))
  (+ (pow x 2) (* 4.0 (pow y 2)))
  (+ (pow x 2) (* 4.0 (pow y 2)))
0.650 * * [simplify]: Extracting # 0 : cost  0
0.651 * * [simplify]: Extracting # 1 : cost  0
0.651 * * [simplify]: Extracting # 2 : cost  0
0.651 * * [simplify]: Extracting # 3 : cost  0
0.651 * * [simplify]: Extracting # 4 : cost  0
0.651 * * [simplify]: Extracting # 5 : cost  0
0.651 * * [simplify]: Extracting # 6 : cost  0
0.651 * * [simplify]: Extracting # 7 : cost  0
0.651 * * [simplify]: iteration  0 :  87  enodes  (cost  1404 )
0.673 * * [simplify]: Extracting # 0 : cost  0
0.673 * * [simplify]: Extracting # 1 : cost  0
0.674 * * [simplify]: Extracting # 2 : cost  0
0.674 * * [simplify]: Extracting # 3 : cost  0
0.675 * * [simplify]: Extracting # 4 : cost  0
0.675 * * [simplify]: iteration  1 :  233  enodes  (cost  1375 )
0.814 * * [simplify]: Extracting # 0 : cost  0
0.816 * * [simplify]: Extracting # 1 : cost  0
0.818 * * [simplify]: Extracting # 2 : cost  0
0.820 * * [simplify]: Extracting # 3 : cost  0
0.821 * * [simplify]: Extracting # 4 : cost  0
0.823 * * [simplify]: iteration  2 :  769  enodes  (cost  1233 )
1.370 * * [simplify]: Extracting # 0 : cost  0
1.374 * * [simplify]: Extracting # 1 : cost  0
1.380 * * [simplify]: Extracting # 2 : cost  0
1.386 * * [simplify]: Extracting # 3 : cost  0
1.392 * * [simplify]: Extracting # 4 : cost  0
1.397 * * [simplify]: iteration  3 :  2891  enodes  (cost  1226 )
3.466 * * [simplify]: Extracting # 0 : cost  0
3.472 * * [simplify]: Extracting # 1 : cost  0
3.477 * * [simplify]: Extracting # 2 : cost  0
3.483 * * [simplify]: Extracting # 3 : cost  0
3.491 * * [simplify]: Extracting # 4 : cost  0
3.506 * * [simplify]: iteration done:  5001  enodes  (cost  1210 )
3.507 * [simplify]: Simplified to:
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
  (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
  (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (- (* (* y 4.0) y) (* x x))
  (- (+ (* x x) (* (* y 4.0) y)))
  (/ (* x x) (+ (* x x) (* (* y 4.0) y)))
  (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  1
  (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (+ (* x x) (* (* y 4.0) y)))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (- (pow x 2) (* (* y 4.0) y))
  (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 6) (pow (* (* y 4.0) y) 3)))
  (/ 1 (+ (* x x) (* (* y 4.0) y)))
  (* (+ (* (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (pow x 4)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (* (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)))
  (exp (- (* x x) (* (* y 4.0) y)))
  (log (- (* x x) (* (* y 4.0) y)))
  (exp (- (* x x) (* (* y 4.0) y)))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (cbrt (- (* x x) (* (* y 4.0) y)))
  (pow (- (* x x) (* (* y 4.0) y)) 3)
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (- (pow x 6) (pow (* (* y 4.0) y) 3))
  (+ (* (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (pow x 4))
  (- (* 4.0 (pow y 2)))
  (- (pow x 4) (* (pow y 4) (* 4.0 4.0)))
  (+ (* 4.0 (pow y 2)) (pow x 2))
  (- (* 4.0 (pow y 2)))
  (exp (+ (* x x) (* (* y 4.0) y)))
  (log (+ (* 4.0 (pow y 2)) (pow x 2)))
  (exp (+ (* x x) (* (* y 4.0) y)))
  (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (cbrt (+ (* x x) (* (* y 4.0) y)))
  (pow (+ (* 4.0 (pow y 2)) (pow x 2)) 3)
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (+ (pow x 6) (pow (* (* y 4.0) y) 3))
  (+ (pow x 4) (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x))))
  (- (pow x 4) (* (pow y 4) (* 4.0 4.0)))
  (- (pow x 2) (* (* y 4.0) y))
  -1.0
  1
  1
  (- (pow x 2) (* (* y 4.0) y))
  (- (pow x 2) (* (* y 4.0) y))
  (- (pow x 2) (* (* y 4.0) y))
  (+ (* 4.0 (pow y 2)) (pow x 2))
  (+ (* 4.0 (pow y 2)) (pow x 2))
  (+ (* 4.0 (pow y 2)) (pow x 2))
3.508 * * * [progress]: adding candidates to table
3.726 * * [progress]: iteration 2 / 4
3.726 * * * [progress]: picking best candidate
3.736 * * * * [pick]: Picked  #<alt (λ (x y) -1.0)>
3.736 * * * [progress]: localizing error
3.737 * * * [progress]: generating rewritten candidates
3.737 * * * [progress]: generating series expansions
3.737 * * * [progress]: simplifying candidates
3.737 * [simplify]: Simplifying:
  
3.737 * * [simplify]: Extracting # 0 : cost  0
3.737 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
3.737 * * [simplify]: Extracting # 0 : cost  0
3.737 * * [simplify]: iteration done:  0  enodes  (cost  0 )
3.737 * [simplify]: Simplified to:
  
3.737 * * * [progress]: adding candidates to table
3.738 * * [progress]: iteration 3 / 4
3.738 * * * [progress]: picking best candidate
3.744 * * * * [pick]: Picked  #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))>
3.745 * * * [progress]: localizing error
3.756 * * * [progress]: generating rewritten candidates
3.757 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.794 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
3.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.855 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
3.884 * * * [progress]: generating series expansions
3.884 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.884 * [backup-simplify]: Simplify (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) into (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))))
3.884 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0
3.884 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2)))) in y
3.884 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
3.884 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.885 * [taylor]: Taking taylor expansion of x in y
3.885 * [backup-simplify]: Simplify x into x
3.885 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.885 * [taylor]: Taking taylor expansion of 4.0 in y
3.885 * [backup-simplify]: Simplify 4.0 into 4.0
3.885 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.885 * [taylor]: Taking taylor expansion of y in y
3.885 * [backup-simplify]: Simplify 0 into 0
3.885 * [backup-simplify]: Simplify 1 into 1
3.885 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
3.885 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.885 * [taylor]: Taking taylor expansion of x in y
3.885 * [backup-simplify]: Simplify x into x
3.885 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.885 * [taylor]: Taking taylor expansion of 4.0 in y
3.885 * [backup-simplify]: Simplify 4.0 into 4.0
3.885 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.885 * [taylor]: Taking taylor expansion of y in y
3.885 * [backup-simplify]: Simplify 0 into 0
3.885 * [backup-simplify]: Simplify 1 into 1
3.885 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.885 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.885 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.886 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.886 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.886 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2)))) in x
3.886 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.886 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.886 * [taylor]: Taking taylor expansion of x in x
3.886 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify 1 into 1
3.886 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.886 * [taylor]: Taking taylor expansion of 4.0 in x
3.886 * [backup-simplify]: Simplify 4.0 into 4.0
3.886 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.886 * [taylor]: Taking taylor expansion of y in x
3.886 * [backup-simplify]: Simplify y into y
3.886 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
3.886 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.886 * [taylor]: Taking taylor expansion of x in x
3.886 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify 1 into 1
3.886 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.886 * [taylor]: Taking taylor expansion of 4.0 in x
3.887 * [backup-simplify]: Simplify 4.0 into 4.0
3.887 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.887 * [taylor]: Taking taylor expansion of y in x
3.887 * [backup-simplify]: Simplify y into y
3.887 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.887 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.887 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
3.887 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.887 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.888 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
3.888 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
3.889 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0
3.889 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2)))) in x
3.889 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.889 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.889 * [taylor]: Taking taylor expansion of x in x
3.889 * [backup-simplify]: Simplify 0 into 0
3.889 * [backup-simplify]: Simplify 1 into 1
3.889 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.889 * [taylor]: Taking taylor expansion of 4.0 in x
3.889 * [backup-simplify]: Simplify 4.0 into 4.0
3.889 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.889 * [taylor]: Taking taylor expansion of y in x
3.889 * [backup-simplify]: Simplify y into y
3.889 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
3.889 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.889 * [taylor]: Taking taylor expansion of x in x
3.889 * [backup-simplify]: Simplify 0 into 0
3.889 * [backup-simplify]: Simplify 1 into 1
3.889 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.889 * [taylor]: Taking taylor expansion of 4.0 in x
3.889 * [backup-simplify]: Simplify 4.0 into 4.0
3.889 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.889 * [taylor]: Taking taylor expansion of y in x
3.889 * [backup-simplify]: Simplify y into y
3.889 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.889 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.890 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
3.890 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.890 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.890 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
3.890 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
3.891 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0
3.891 * [taylor]: Taking taylor expansion of -1.0 in y
3.891 * [backup-simplify]: Simplify -1.0 into -1.0
3.891 * [backup-simplify]: Simplify -1.0 into -1.0
3.891 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.892 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.892 * [backup-simplify]: Simplify (+ 0 0) into 0
3.892 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.893 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.893 * [backup-simplify]: Simplify (- 0) into 0
3.894 * [backup-simplify]: Simplify (+ 0 0) into 0
3.894 * [backup-simplify]: Simplify (- (/ 0 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 0 (- (* 4.0 (pow y 2))))))) into 0
3.894 * [taylor]: Taking taylor expansion of 0 in y
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 0 into 0
3.895 * [backup-simplify]: Simplify (* 1 1) into 1
3.895 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.896 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.896 * [backup-simplify]: Simplify (+ 1 0) into 1
3.897 * [backup-simplify]: Simplify (* 1 1) into 1
3.897 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.898 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.898 * [backup-simplify]: Simplify (- 0) into 0
3.899 * [backup-simplify]: Simplify (+ 1 0) into 1
3.900 * [backup-simplify]: Simplify (- (/ 1 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 1 (- (* 4.0 (pow y 2))))) (* 0 (/ 0 (- (* 4.0 (pow y 2))))))) into (- (* 0.5 (/ 1 (pow y 2))))
3.900 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow y 2)))) in y
3.900 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y
3.900 * [taylor]: Taking taylor expansion of 0.5 in y
3.900 * [backup-simplify]: Simplify 0.5 into 0.5
3.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.900 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.900 * [taylor]: Taking taylor expansion of y in y
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 1 into 1
3.900 * [backup-simplify]: Simplify (* 1 1) into 1
3.901 * [backup-simplify]: Simplify (/ 1 1) into 1
3.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.905 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
3.905 * [backup-simplify]: Simplify (- 0) into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.907 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.908 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.908 * [backup-simplify]: Simplify (+ 0 0) into 0
3.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.910 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.911 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.911 * [backup-simplify]: Simplify (- 0) into 0
3.912 * [backup-simplify]: Simplify (+ 0 0) into 0
3.913 * [backup-simplify]: Simplify (- (/ 0 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 0 (- (* 4.0 (pow y 2))))) (* 0 (/ 1 (- (* 4.0 (pow y 2))))) (* (- (* 0.5 (/ 1 (pow y 2)))) (/ 0 (- (* 4.0 (pow y 2))))))) into 0
3.913 * [taylor]: Taking taylor expansion of 0 in y
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify -1.0 into -1.0
3.913 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
3.914 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
3.914 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
3.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.914 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.914 * [taylor]: Taking taylor expansion of x in y
3.914 * [backup-simplify]: Simplify x into x
3.914 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.914 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.914 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.914 * [taylor]: Taking taylor expansion of 4.0 in y
3.914 * [backup-simplify]: Simplify 4.0 into 4.0
3.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.914 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.914 * [taylor]: Taking taylor expansion of y in y
3.914 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify 1 into 1
3.915 * [backup-simplify]: Simplify (* 1 1) into 1
3.915 * [backup-simplify]: Simplify (/ 1 1) into 1
3.915 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.915 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.915 * [taylor]: Taking taylor expansion of x in y
3.915 * [backup-simplify]: Simplify x into x
3.915 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.915 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.915 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.915 * [taylor]: Taking taylor expansion of 4.0 in y
3.916 * [backup-simplify]: Simplify 4.0 into 4.0
3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.916 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.916 * [taylor]: Taking taylor expansion of y in y
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [backup-simplify]: Simplify (* 1 1) into 1
3.916 * [backup-simplify]: Simplify (/ 1 1) into 1
3.917 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.917 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.918 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.918 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.923 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
3.923 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0
3.923 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.923 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.923 * [taylor]: Taking taylor expansion of x in x
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify 1 into 1
3.924 * [backup-simplify]: Simplify (* 1 1) into 1
3.924 * [backup-simplify]: Simplify (/ 1 1) into 1
3.924 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.924 * [taylor]: Taking taylor expansion of 4.0 in x
3.924 * [backup-simplify]: Simplify 4.0 into 4.0
3.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.924 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.924 * [taylor]: Taking taylor expansion of y in x
3.924 * [backup-simplify]: Simplify y into y
3.924 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.924 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.924 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.924 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.924 * [taylor]: Taking taylor expansion of x in x
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify 1 into 1
3.925 * [backup-simplify]: Simplify (* 1 1) into 1
3.925 * [backup-simplify]: Simplify (/ 1 1) into 1
3.925 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.925 * [taylor]: Taking taylor expansion of 4.0 in x
3.925 * [backup-simplify]: Simplify 4.0 into 4.0
3.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.925 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.925 * [taylor]: Taking taylor expansion of y in x
3.925 * [backup-simplify]: Simplify y into y
3.925 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.925 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.925 * [backup-simplify]: Simplify (+ 1 0) into 1
3.926 * [backup-simplify]: Simplify (+ 1 0) into 1
3.926 * [backup-simplify]: Simplify (/ 1 1) into 1
3.926 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.926 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.926 * [taylor]: Taking taylor expansion of x in x
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify 1 into 1
3.926 * [backup-simplify]: Simplify (* 1 1) into 1
3.927 * [backup-simplify]: Simplify (/ 1 1) into 1
3.927 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.927 * [taylor]: Taking taylor expansion of 4.0 in x
3.927 * [backup-simplify]: Simplify 4.0 into 4.0
3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.927 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.927 * [taylor]: Taking taylor expansion of y in x
3.927 * [backup-simplify]: Simplify y into y
3.927 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.927 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.927 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.927 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.927 * [taylor]: Taking taylor expansion of x in x
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.927 * [backup-simplify]: Simplify (* 1 1) into 1
3.927 * [backup-simplify]: Simplify (/ 1 1) into 1
3.927 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.927 * [taylor]: Taking taylor expansion of 4.0 in x
3.927 * [backup-simplify]: Simplify 4.0 into 4.0
3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.927 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.927 * [taylor]: Taking taylor expansion of y in x
3.927 * [backup-simplify]: Simplify y into y
3.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.928 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.928 * [backup-simplify]: Simplify (+ 1 0) into 1
3.928 * [backup-simplify]: Simplify (+ 1 0) into 1
3.928 * [backup-simplify]: Simplify (/ 1 1) into 1
3.928 * [taylor]: Taking taylor expansion of 1 in y
3.928 * [backup-simplify]: Simplify 1 into 1
3.928 * [backup-simplify]: Simplify 1 into 1
3.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.929 * [backup-simplify]: Simplify (+ 0 0) into 0
3.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.930 * [backup-simplify]: Simplify (+ 0 0) into 0
3.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.931 * [taylor]: Taking taylor expansion of 0 in y
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.932 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.932 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.933 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.933 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.934 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
3.934 * [backup-simplify]: Simplify (- (/ (* 4.0 (/ 1 (pow y 2))) 1) (+ (* 1 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 8.0 (/ 1 (pow y 2)))
3.934 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
3.934 * [taylor]: Taking taylor expansion of 8.0 in y
3.934 * [backup-simplify]: Simplify 8.0 into 8.0
3.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.934 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.934 * [taylor]: Taking taylor expansion of y in y
3.934 * [backup-simplify]: Simplify 0 into 0
3.934 * [backup-simplify]: Simplify 1 into 1
3.935 * [backup-simplify]: Simplify (* 1 1) into 1
3.935 * [backup-simplify]: Simplify (/ 1 1) into 1
3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.937 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.938 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.939 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.939 * [backup-simplify]: Simplify (+ 0 0) into 0
3.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.940 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.941 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.941 * [backup-simplify]: Simplify (- 0) into 0
3.941 * [backup-simplify]: Simplify (+ 0 0) into 0
3.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* (* 8.0 (/ 1 (pow y 2))) (/ 0 1)))) into 0
3.943 * [taylor]: Taking taylor expansion of 0 in y
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
3.943 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
3.943 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
3.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.943 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.943 * [taylor]: Taking taylor expansion of x in y
3.943 * [backup-simplify]: Simplify x into x
3.943 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.943 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.943 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.943 * [taylor]: Taking taylor expansion of 4.0 in y
3.943 * [backup-simplify]: Simplify 4.0 into 4.0
3.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.943 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.943 * [taylor]: Taking taylor expansion of y in y
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.944 * [backup-simplify]: Simplify (* 1 1) into 1
3.944 * [backup-simplify]: Simplify (/ 1 1) into 1
3.944 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.944 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.944 * [taylor]: Taking taylor expansion of x in y
3.944 * [backup-simplify]: Simplify x into x
3.944 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.944 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.944 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.944 * [taylor]: Taking taylor expansion of 4.0 in y
3.944 * [backup-simplify]: Simplify 4.0 into 4.0
3.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.944 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.944 * [taylor]: Taking taylor expansion of y in y
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 1 into 1
3.945 * [backup-simplify]: Simplify (* 1 1) into 1
3.945 * [backup-simplify]: Simplify (/ 1 1) into 1
3.945 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.945 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.946 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.946 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.947 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
3.947 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0
3.948 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.948 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.948 * [taylor]: Taking taylor expansion of x in x
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 1 into 1
3.948 * [backup-simplify]: Simplify (* 1 1) into 1
3.949 * [backup-simplify]: Simplify (/ 1 1) into 1
3.949 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.949 * [taylor]: Taking taylor expansion of 4.0 in x
3.949 * [backup-simplify]: Simplify 4.0 into 4.0
3.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.949 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.949 * [taylor]: Taking taylor expansion of y in x
3.949 * [backup-simplify]: Simplify y into y
3.949 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.949 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.949 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.949 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.949 * [taylor]: Taking taylor expansion of x in x
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 1 into 1
3.950 * [backup-simplify]: Simplify (* 1 1) into 1
3.950 * [backup-simplify]: Simplify (/ 1 1) into 1
3.950 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.950 * [taylor]: Taking taylor expansion of 4.0 in x
3.950 * [backup-simplify]: Simplify 4.0 into 4.0
3.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.950 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.950 * [taylor]: Taking taylor expansion of y in x
3.950 * [backup-simplify]: Simplify y into y
3.950 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.950 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.951 * [backup-simplify]: Simplify (+ 1 0) into 1
3.951 * [backup-simplify]: Simplify (+ 1 0) into 1
3.952 * [backup-simplify]: Simplify (/ 1 1) into 1
3.952 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.952 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.952 * [taylor]: Taking taylor expansion of x in x
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 1 into 1
3.952 * [backup-simplify]: Simplify (* 1 1) into 1
3.953 * [backup-simplify]: Simplify (/ 1 1) into 1
3.953 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.953 * [taylor]: Taking taylor expansion of 4.0 in x
3.953 * [backup-simplify]: Simplify 4.0 into 4.0
3.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.953 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.953 * [taylor]: Taking taylor expansion of y in x
3.953 * [backup-simplify]: Simplify y into y
3.953 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.953 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.953 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.953 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.953 * [taylor]: Taking taylor expansion of x in x
3.953 * [backup-simplify]: Simplify 0 into 0
3.953 * [backup-simplify]: Simplify 1 into 1
3.953 * [backup-simplify]: Simplify (* 1 1) into 1
3.954 * [backup-simplify]: Simplify (/ 1 1) into 1
3.954 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.954 * [taylor]: Taking taylor expansion of 4.0 in x
3.954 * [backup-simplify]: Simplify 4.0 into 4.0
3.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.954 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.954 * [taylor]: Taking taylor expansion of y in x
3.954 * [backup-simplify]: Simplify y into y
3.954 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.954 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.955 * [backup-simplify]: Simplify (+ 1 0) into 1
3.955 * [backup-simplify]: Simplify (+ 1 0) into 1
3.955 * [backup-simplify]: Simplify (/ 1 1) into 1
3.956 * [taylor]: Taking taylor expansion of 1 in y
3.956 * [backup-simplify]: Simplify 1 into 1
3.956 * [backup-simplify]: Simplify 1 into 1
3.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.957 * [backup-simplify]: Simplify (+ 0 0) into 0
3.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.959 * [backup-simplify]: Simplify (+ 0 0) into 0
3.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.960 * [taylor]: Taking taylor expansion of 0 in y
3.960 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.962 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.962 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
3.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.964 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.964 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.965 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
3.966 * [backup-simplify]: Simplify (- (/ (* 4.0 (/ 1 (pow y 2))) 1) (+ (* 1 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 8.0 (/ 1 (pow y 2)))
3.966 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
3.966 * [taylor]: Taking taylor expansion of 8.0 in y
3.966 * [backup-simplify]: Simplify 8.0 into 8.0
3.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.966 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.966 * [taylor]: Taking taylor expansion of y in y
3.966 * [backup-simplify]: Simplify 0 into 0
3.966 * [backup-simplify]: Simplify 1 into 1
3.966 * [backup-simplify]: Simplify (* 1 1) into 1
3.967 * [backup-simplify]: Simplify (/ 1 1) into 1
3.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.971 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 0 into 0
3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.973 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.974 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.974 * [backup-simplify]: Simplify (+ 0 0) into 0
3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.975 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.976 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.976 * [backup-simplify]: Simplify (- 0) into 0
3.976 * [backup-simplify]: Simplify (+ 0 0) into 0
3.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* (* 8.0 (/ 1 (pow y 2))) (/ 0 1)))) into 0
3.978 * [taylor]: Taking taylor expansion of 0 in y
3.978 * [backup-simplify]: Simplify 0 into 0
3.978 * [backup-simplify]: Simplify 0 into 0
3.978 * [backup-simplify]: Simplify 1 into 1
3.978 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
3.978 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2)))
3.978 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0
3.978 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
3.978 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.978 * [taylor]: Taking taylor expansion of x in y
3.978 * [backup-simplify]: Simplify x into x
3.978 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.978 * [taylor]: Taking taylor expansion of 4.0 in y
3.978 * [backup-simplify]: Simplify 4.0 into 4.0
3.978 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.978 * [taylor]: Taking taylor expansion of y in y
3.978 * [backup-simplify]: Simplify 0 into 0
3.978 * [backup-simplify]: Simplify 1 into 1
3.978 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
3.978 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.978 * [taylor]: Taking taylor expansion of x in x
3.978 * [backup-simplify]: Simplify 0 into 0
3.978 * [backup-simplify]: Simplify 1 into 1
3.978 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.978 * [taylor]: Taking taylor expansion of 4.0 in x
3.978 * [backup-simplify]: Simplify 4.0 into 4.0
3.978 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.978 * [taylor]: Taking taylor expansion of y in x
3.978 * [backup-simplify]: Simplify y into y
3.978 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
3.978 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.978 * [taylor]: Taking taylor expansion of x in x
3.978 * [backup-simplify]: Simplify 0 into 0
3.978 * [backup-simplify]: Simplify 1 into 1
3.978 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.978 * [taylor]: Taking taylor expansion of 4.0 in x
3.978 * [backup-simplify]: Simplify 4.0 into 4.0
3.978 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.978 * [taylor]: Taking taylor expansion of y in x
3.978 * [backup-simplify]: Simplify y into y
3.978 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.979 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.979 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
3.979 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
3.979 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y
3.979 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.979 * [taylor]: Taking taylor expansion of 4.0 in y
3.979 * [backup-simplify]: Simplify 4.0 into 4.0
3.979 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.979 * [taylor]: Taking taylor expansion of y in y
3.979 * [backup-simplify]: Simplify 0 into 0
3.979 * [backup-simplify]: Simplify 1 into 1
3.979 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.979 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.980 * [backup-simplify]: Simplify (- 0) into 0
3.980 * [backup-simplify]: Simplify (+ 0 0) into 0
3.980 * [taylor]: Taking taylor expansion of 0 in y
3.980 * [backup-simplify]: Simplify 0 into 0
3.980 * [backup-simplify]: Simplify 0 into 0
3.980 * [backup-simplify]: Simplify (* 1 1) into 1
3.980 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.981 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.981 * [backup-simplify]: Simplify (- 0) into 0
3.981 * [backup-simplify]: Simplify (+ 1 0) into 1
3.981 * [taylor]: Taking taylor expansion of 1 in y
3.981 * [backup-simplify]: Simplify 1 into 1
3.981 * [backup-simplify]: Simplify 1 into 1
3.981 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify (* 1 1) into 1
3.982 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.982 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.982 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.983 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.984 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.984 * [backup-simplify]: Simplify (- 0) into 0
3.984 * [backup-simplify]: Simplify (+ 0 0) into 0
3.984 * [taylor]: Taking taylor expansion of 0 in y
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.985 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.986 * [backup-simplify]: Simplify (- 0) into 0
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.987 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.988 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
3.988 * [backup-simplify]: Simplify (- 0) into 0
3.988 * [backup-simplify]: Simplify (+ 0 0) into 0
3.988 * [taylor]: Taking taylor expansion of 0 in y
3.988 * [backup-simplify]: Simplify 0 into 0
3.988 * [backup-simplify]: Simplify 0 into 0
3.988 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
3.989 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
3.989 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
3.989 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.989 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.989 * [taylor]: Taking taylor expansion of x in y
3.989 * [backup-simplify]: Simplify x into x
3.989 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.989 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.989 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.989 * [taylor]: Taking taylor expansion of 4.0 in y
3.989 * [backup-simplify]: Simplify 4.0 into 4.0
3.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.989 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.989 * [taylor]: Taking taylor expansion of y in y
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (* 1 1) into 1
3.990 * [backup-simplify]: Simplify (/ 1 1) into 1
3.990 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.990 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.990 * [taylor]: Taking taylor expansion of x in x
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (* 1 1) into 1
3.991 * [backup-simplify]: Simplify (/ 1 1) into 1
3.991 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.991 * [taylor]: Taking taylor expansion of 4.0 in x
3.991 * [backup-simplify]: Simplify 4.0 into 4.0
3.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.991 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.991 * [taylor]: Taking taylor expansion of y in x
3.991 * [backup-simplify]: Simplify y into y
3.991 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.991 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.991 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.991 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.991 * [taylor]: Taking taylor expansion of x in x
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 1 into 1
3.991 * [backup-simplify]: Simplify (* 1 1) into 1
3.991 * [backup-simplify]: Simplify (/ 1 1) into 1
3.991 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.991 * [taylor]: Taking taylor expansion of 4.0 in x
3.991 * [backup-simplify]: Simplify 4.0 into 4.0
3.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.992 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.992 * [taylor]: Taking taylor expansion of y in x
3.992 * [backup-simplify]: Simplify y into y
3.992 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.992 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.992 * [backup-simplify]: Simplify (+ 1 0) into 1
3.992 * [taylor]: Taking taylor expansion of 1 in y
3.992 * [backup-simplify]: Simplify 1 into 1
3.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.993 * [backup-simplify]: Simplify (+ 0 0) into 0
3.993 * [taylor]: Taking taylor expansion of 0 in y
3.993 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.994 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.994 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.994 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
3.994 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
3.995 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.995 * [taylor]: Taking taylor expansion of 4.0 in y
3.995 * [backup-simplify]: Simplify 4.0 into 4.0
3.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.995 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.995 * [taylor]: Taking taylor expansion of y in y
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
3.995 * [backup-simplify]: Simplify (* 1 1) into 1
3.995 * [backup-simplify]: Simplify (/ 1 1) into 1
3.995 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.996 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.996 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.996 * [backup-simplify]: Simplify 1 into 1
3.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.997 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.998 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.998 * [backup-simplify]: Simplify (- 0) into 0
3.998 * [backup-simplify]: Simplify (+ 0 0) into 0
3.998 * [taylor]: Taking taylor expansion of 0 in y
3.998 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.999 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.000 * [backup-simplify]: Simplify (- 0) into 0
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.001 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.002 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
4.002 * [backup-simplify]: Simplify (- 0) into 0
4.003 * [backup-simplify]: Simplify (+ 0 0) into 0
4.003 * [taylor]: Taking taylor expansion of 0 in y
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.004 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
4.004 * [backup-simplify]: Simplify (- 0) into 0
4.004 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
4.005 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
4.005 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
4.005 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.005 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.005 * [taylor]: Taking taylor expansion of x in y
4.005 * [backup-simplify]: Simplify x into x
4.005 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.005 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.005 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
4.005 * [taylor]: Taking taylor expansion of 4.0 in y
4.005 * [backup-simplify]: Simplify 4.0 into 4.0
4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.005 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.006 * [taylor]: Taking taylor expansion of y in y
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [backup-simplify]: Simplify (* 1 1) into 1
4.006 * [backup-simplify]: Simplify (/ 1 1) into 1
4.006 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.006 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.006 * [taylor]: Taking taylor expansion of x in x
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [backup-simplify]: Simplify (* 1 1) into 1
4.007 * [backup-simplify]: Simplify (/ 1 1) into 1
4.007 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.007 * [taylor]: Taking taylor expansion of 4.0 in x
4.007 * [backup-simplify]: Simplify 4.0 into 4.0
4.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.007 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.007 * [taylor]: Taking taylor expansion of y in x
4.007 * [backup-simplify]: Simplify y into y
4.007 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.007 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.007 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.007 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.007 * [taylor]: Taking taylor expansion of x in x
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 1 into 1
4.007 * [backup-simplify]: Simplify (* 1 1) into 1
4.007 * [backup-simplify]: Simplify (/ 1 1) into 1
4.007 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.007 * [taylor]: Taking taylor expansion of 4.0 in x
4.007 * [backup-simplify]: Simplify 4.0 into 4.0
4.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.008 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.008 * [taylor]: Taking taylor expansion of y in x
4.008 * [backup-simplify]: Simplify y into y
4.008 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.008 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.008 * [backup-simplify]: Simplify (+ 1 0) into 1
4.008 * [taylor]: Taking taylor expansion of 1 in y
4.008 * [backup-simplify]: Simplify 1 into 1
4.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.009 * [backup-simplify]: Simplify (+ 0 0) into 0
4.009 * [taylor]: Taking taylor expansion of 0 in y
4.009 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.010 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
4.011 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
4.011 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
4.011 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
4.011 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
4.011 * [taylor]: Taking taylor expansion of 4.0 in y
4.011 * [backup-simplify]: Simplify 4.0 into 4.0
4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.011 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.011 * [taylor]: Taking taylor expansion of y in y
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.012 * [backup-simplify]: Simplify (* 1 1) into 1
4.012 * [backup-simplify]: Simplify (/ 1 1) into 1
4.012 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.013 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
4.013 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
4.013 * [backup-simplify]: Simplify 1 into 1
4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.015 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.016 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
4.017 * [backup-simplify]: Simplify (- 0) into 0
4.017 * [backup-simplify]: Simplify (+ 0 0) into 0
4.017 * [taylor]: Taking taylor expansion of 0 in y
4.017 * [backup-simplify]: Simplify 0 into 0
4.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.019 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.019 * [backup-simplify]: Simplify (- 0) into 0
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.022 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.024 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
4.024 * [backup-simplify]: Simplify (- 0) into 0
4.024 * [backup-simplify]: Simplify (+ 0 0) into 0
4.025 * [taylor]: Taking taylor expansion of 0 in y
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.027 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
4.028 * [backup-simplify]: Simplify (- 0) into 0
4.028 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
4.029 * * * * [progress]: [ 3 / 4 ] generating series at (2)
4.029 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))
4.029 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0
4.029 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y
4.029 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
4.029 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.029 * [taylor]: Taking taylor expansion of x in y
4.030 * [backup-simplify]: Simplify x into x
4.030 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
4.030 * [taylor]: Taking taylor expansion of 4.0 in y
4.030 * [backup-simplify]: Simplify 4.0 into 4.0
4.030 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.030 * [taylor]: Taking taylor expansion of y in y
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 1 into 1
4.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
4.030 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.030 * [taylor]: Taking taylor expansion of x in y
4.030 * [backup-simplify]: Simplify x into x
4.030 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
4.030 * [taylor]: Taking taylor expansion of 4.0 in y
4.030 * [backup-simplify]: Simplify 4.0 into 4.0
4.030 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.030 * [taylor]: Taking taylor expansion of y in y
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 1 into 1
4.030 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.030 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.030 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.031 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.031 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.031 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
4.031 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
4.031 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.031 * [taylor]: Taking taylor expansion of x in x
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 1 into 1
4.031 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
4.031 * [taylor]: Taking taylor expansion of 4.0 in x
4.031 * [backup-simplify]: Simplify 4.0 into 4.0
4.031 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.031 * [taylor]: Taking taylor expansion of y in x
4.031 * [backup-simplify]: Simplify y into y
4.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
4.031 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.031 * [taylor]: Taking taylor expansion of x in x
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 1 into 1
4.031 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
4.031 * [taylor]: Taking taylor expansion of 4.0 in x
4.031 * [backup-simplify]: Simplify 4.0 into 4.0
4.031 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.031 * [taylor]: Taking taylor expansion of y in x
4.031 * [backup-simplify]: Simplify y into y
4.032 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.032 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
4.032 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
4.032 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
4.032 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.032 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
4.032 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
4.033 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
4.033 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
4.033 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
4.033 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.033 * [taylor]: Taking taylor expansion of x in x
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 1 into 1
4.033 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
4.033 * [taylor]: Taking taylor expansion of 4.0 in x
4.033 * [backup-simplify]: Simplify 4.0 into 4.0
4.033 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.033 * [taylor]: Taking taylor expansion of y in x
4.033 * [backup-simplify]: Simplify y into y
4.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
4.033 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.033 * [taylor]: Taking taylor expansion of x in x
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 1 into 1
4.033 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
4.033 * [taylor]: Taking taylor expansion of 4.0 in x
4.033 * [backup-simplify]: Simplify 4.0 into 4.0
4.033 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.033 * [taylor]: Taking taylor expansion of y in x
4.034 * [backup-simplify]: Simplify y into y
4.034 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.034 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
4.034 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
4.034 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
4.034 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.034 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
4.035 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
4.035 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
4.035 * [taylor]: Taking taylor expansion of -1.0 in y
4.035 * [backup-simplify]: Simplify -1.0 into -1.0
4.035 * [backup-simplify]: Simplify -1.0 into -1.0
4.035 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.041 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
4.042 * [backup-simplify]: Simplify (- 0) into 0
4.043 * [backup-simplify]: Simplify (+ 0 0) into 0
4.043 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.043 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
4.044 * [backup-simplify]: Simplify (+ 0 0) into 0
4.044 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0
4.044 * [taylor]: Taking taylor expansion of 0 in y
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify (* 1 1) into 1
4.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.046 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
4.047 * [backup-simplify]: Simplify (- 0) into 0
4.047 * [backup-simplify]: Simplify (+ 1 0) into 1
4.047 * [backup-simplify]: Simplify (* 1 1) into 1
4.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.049 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
4.050 * [backup-simplify]: Simplify (+ 1 0) into 1
4.050 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2)))
4.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y
4.050 * [taylor]: Taking taylor expansion of 0.5 in y
4.050 * [backup-simplify]: Simplify 0.5 into 0.5
4.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.050 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.050 * [taylor]: Taking taylor expansion of y in y
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 1 into 1
4.051 * [backup-simplify]: Simplify (* 1 1) into 1
4.051 * [backup-simplify]: Simplify (/ 1 1) into 1
4.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.058 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
4.059 * [backup-simplify]: Simplify (- 0) into 0
4.059 * [backup-simplify]: Simplify (+ 0 0) into 0
4.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.062 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
4.062 * [backup-simplify]: Simplify (+ 0 0) into 0
4.063 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0
4.063 * [taylor]: Taking taylor expansion of 0 in y
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify -1.0 into -1.0
4.064 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
4.064 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
4.064 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
4.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
4.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.064 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.064 * [taylor]: Taking taylor expansion of x in y
4.064 * [backup-simplify]: Simplify x into x
4.064 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.064 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.064 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
4.064 * [taylor]: Taking taylor expansion of 4.0 in y
4.064 * [backup-simplify]: Simplify 4.0 into 4.0
4.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.064 * [taylor]: Taking taylor expansion of y in y
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 1 into 1
4.065 * [backup-simplify]: Simplify (* 1 1) into 1
4.065 * [backup-simplify]: Simplify (/ 1 1) into 1
4.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
4.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.065 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.065 * [taylor]: Taking taylor expansion of x in y
4.065 * [backup-simplify]: Simplify x into x
4.065 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.065 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
4.065 * [taylor]: Taking taylor expansion of 4.0 in y
4.065 * [backup-simplify]: Simplify 4.0 into 4.0
4.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.065 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.066 * [taylor]: Taking taylor expansion of y in y
4.066 * [backup-simplify]: Simplify 0 into 0
4.066 * [backup-simplify]: Simplify 1 into 1
4.066 * [backup-simplify]: Simplify (* 1 1) into 1
4.066 * [backup-simplify]: Simplify (/ 1 1) into 1
4.067 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.067 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
4.068 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
4.068 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.069 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
4.070 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
4.070 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
4.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.070 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.070 * [taylor]: Taking taylor expansion of x in x
4.070 * [backup-simplify]: Simplify 0 into 0
4.070 * [backup-simplify]: Simplify 1 into 1
4.070 * [backup-simplify]: Simplify (* 1 1) into 1
4.071 * [backup-simplify]: Simplify (/ 1 1) into 1
4.071 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.071 * [taylor]: Taking taylor expansion of 4.0 in x
4.071 * [backup-simplify]: Simplify 4.0 into 4.0
4.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.071 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.071 * [taylor]: Taking taylor expansion of y in x
4.071 * [backup-simplify]: Simplify y into y
4.071 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.071 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.071 * [taylor]: Taking taylor expansion of x in x
4.071 * [backup-simplify]: Simplify 0 into 0
4.071 * [backup-simplify]: Simplify 1 into 1
4.072 * [backup-simplify]: Simplify (* 1 1) into 1
4.072 * [backup-simplify]: Simplify (/ 1 1) into 1
4.072 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.072 * [taylor]: Taking taylor expansion of 4.0 in x
4.072 * [backup-simplify]: Simplify 4.0 into 4.0
4.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.072 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.072 * [taylor]: Taking taylor expansion of y in x
4.072 * [backup-simplify]: Simplify y into y
4.072 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.073 * [backup-simplify]: Simplify (+ 1 0) into 1
4.074 * [backup-simplify]: Simplify (+ 1 0) into 1
4.074 * [backup-simplify]: Simplify (/ 1 1) into 1
4.074 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
4.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.074 * [taylor]: Taking taylor expansion of x in x
4.074 * [backup-simplify]: Simplify 0 into 0
4.074 * [backup-simplify]: Simplify 1 into 1
4.075 * [backup-simplify]: Simplify (* 1 1) into 1
4.075 * [backup-simplify]: Simplify (/ 1 1) into 1
4.075 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.075 * [taylor]: Taking taylor expansion of 4.0 in x
4.075 * [backup-simplify]: Simplify 4.0 into 4.0
4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.075 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.075 * [taylor]: Taking taylor expansion of y in x
4.075 * [backup-simplify]: Simplify y into y
4.075 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.076 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.076 * [taylor]: Taking taylor expansion of x in x
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 1 into 1
4.076 * [backup-simplify]: Simplify (* 1 1) into 1
4.076 * [backup-simplify]: Simplify (/ 1 1) into 1
4.076 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.076 * [taylor]: Taking taylor expansion of 4.0 in x
4.077 * [backup-simplify]: Simplify 4.0 into 4.0
4.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.077 * [taylor]: Taking taylor expansion of y in x
4.077 * [backup-simplify]: Simplify y into y
4.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.077 * [backup-simplify]: Simplify (+ 1 0) into 1
4.078 * [backup-simplify]: Simplify (+ 1 0) into 1
4.078 * [backup-simplify]: Simplify (/ 1 1) into 1
4.078 * [taylor]: Taking taylor expansion of 1 in y
4.078 * [backup-simplify]: Simplify 1 into 1
4.078 * [backup-simplify]: Simplify 1 into 1
4.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.080 * [backup-simplify]: Simplify (+ 0 0) into 0
4.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.082 * [backup-simplify]: Simplify (+ 0 0) into 0
4.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.083 * [taylor]: Taking taylor expansion of 0 in y
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.085 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
4.085 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
4.085 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
4.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.087 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
4.087 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
4.087 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2))))
4.087 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
4.088 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
4.088 * [taylor]: Taking taylor expansion of 8.0 in y
4.088 * [backup-simplify]: Simplify 8.0 into 8.0
4.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.088 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.088 * [taylor]: Taking taylor expansion of y in y
4.088 * [backup-simplify]: Simplify 0 into 0
4.088 * [backup-simplify]: Simplify 1 into 1
4.088 * [backup-simplify]: Simplify (* 1 1) into 1
4.088 * [backup-simplify]: Simplify (/ 1 1) into 1
4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.091 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
4.091 * [backup-simplify]: Simplify (- 0) into 0
4.091 * [backup-simplify]: Simplify 0 into 0
4.091 * [backup-simplify]: Simplify 0 into 0
4.091 * [backup-simplify]: Simplify 0 into 0
4.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.093 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
4.093 * [backup-simplify]: Simplify (- 0) into 0
4.093 * [backup-simplify]: Simplify (+ 0 0) into 0
4.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.094 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.095 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
4.095 * [backup-simplify]: Simplify (+ 0 0) into 0
4.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
4.096 * [taylor]: Taking taylor expansion of 0 in y
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 1 into 1
4.097 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
4.097 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
4.097 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
4.097 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
4.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.097 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.097 * [taylor]: Taking taylor expansion of x in y
4.097 * [backup-simplify]: Simplify x into x
4.097 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.097 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.097 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
4.097 * [taylor]: Taking taylor expansion of 4.0 in y
4.097 * [backup-simplify]: Simplify 4.0 into 4.0
4.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.097 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.097 * [taylor]: Taking taylor expansion of y in y
4.097 * [backup-simplify]: Simplify 0 into 0
4.097 * [backup-simplify]: Simplify 1 into 1
4.097 * [backup-simplify]: Simplify (* 1 1) into 1
4.098 * [backup-simplify]: Simplify (/ 1 1) into 1
4.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
4.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.098 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.098 * [taylor]: Taking taylor expansion of x in y
4.098 * [backup-simplify]: Simplify x into x
4.098 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.098 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.098 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
4.098 * [taylor]: Taking taylor expansion of 4.0 in y
4.098 * [backup-simplify]: Simplify 4.0 into 4.0
4.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.098 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.098 * [taylor]: Taking taylor expansion of y in y
4.098 * [backup-simplify]: Simplify 0 into 0
4.098 * [backup-simplify]: Simplify 1 into 1
4.098 * [backup-simplify]: Simplify (* 1 1) into 1
4.099 * [backup-simplify]: Simplify (/ 1 1) into 1
4.099 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.099 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
4.100 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
4.100 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.100 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
4.101 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
4.101 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
4.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.101 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.101 * [taylor]: Taking taylor expansion of x in x
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 1 into 1
4.101 * [backup-simplify]: Simplify (* 1 1) into 1
4.101 * [backup-simplify]: Simplify (/ 1 1) into 1
4.101 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.101 * [taylor]: Taking taylor expansion of 4.0 in x
4.101 * [backup-simplify]: Simplify 4.0 into 4.0
4.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.101 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.101 * [taylor]: Taking taylor expansion of y in x
4.101 * [backup-simplify]: Simplify y into y
4.101 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.101 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.102 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.102 * [taylor]: Taking taylor expansion of x in x
4.102 * [backup-simplify]: Simplify 0 into 0
4.102 * [backup-simplify]: Simplify 1 into 1
4.102 * [backup-simplify]: Simplify (* 1 1) into 1
4.102 * [backup-simplify]: Simplify (/ 1 1) into 1
4.102 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.102 * [taylor]: Taking taylor expansion of 4.0 in x
4.102 * [backup-simplify]: Simplify 4.0 into 4.0
4.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.102 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.102 * [taylor]: Taking taylor expansion of y in x
4.102 * [backup-simplify]: Simplify y into y
4.102 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.103 * [backup-simplify]: Simplify (+ 1 0) into 1
4.103 * [backup-simplify]: Simplify (+ 1 0) into 1
4.103 * [backup-simplify]: Simplify (/ 1 1) into 1
4.103 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
4.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.103 * [taylor]: Taking taylor expansion of x in x
4.103 * [backup-simplify]: Simplify 0 into 0
4.103 * [backup-simplify]: Simplify 1 into 1
4.104 * [backup-simplify]: Simplify (* 1 1) into 1
4.104 * [backup-simplify]: Simplify (/ 1 1) into 1
4.104 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.104 * [taylor]: Taking taylor expansion of 4.0 in x
4.104 * [backup-simplify]: Simplify 4.0 into 4.0
4.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.104 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.104 * [taylor]: Taking taylor expansion of y in x
4.104 * [backup-simplify]: Simplify y into y
4.104 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.104 * [taylor]: Taking taylor expansion of x in x
4.104 * [backup-simplify]: Simplify 0 into 0
4.104 * [backup-simplify]: Simplify 1 into 1
4.104 * [backup-simplify]: Simplify (* 1 1) into 1
4.105 * [backup-simplify]: Simplify (/ 1 1) into 1
4.105 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.105 * [taylor]: Taking taylor expansion of 4.0 in x
4.105 * [backup-simplify]: Simplify 4.0 into 4.0
4.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.105 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.105 * [taylor]: Taking taylor expansion of y in x
4.105 * [backup-simplify]: Simplify y into y
4.105 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.105 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.105 * [backup-simplify]: Simplify (+ 1 0) into 1
4.105 * [backup-simplify]: Simplify (+ 1 0) into 1
4.106 * [backup-simplify]: Simplify (/ 1 1) into 1
4.106 * [taylor]: Taking taylor expansion of 1 in y
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.107 * [backup-simplify]: Simplify (+ 0 0) into 0
4.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.108 * [backup-simplify]: Simplify (+ 0 0) into 0
4.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.108 * [taylor]: Taking taylor expansion of 0 in y
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 0 into 0
4.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.110 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
4.110 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
4.110 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
4.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.111 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
4.111 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
4.112 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2))))
4.112 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
4.112 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
4.112 * [taylor]: Taking taylor expansion of 8.0 in y
4.112 * [backup-simplify]: Simplify 8.0 into 8.0
4.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.112 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.112 * [taylor]: Taking taylor expansion of y in y
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify 1 into 1
4.112 * [backup-simplify]: Simplify (* 1 1) into 1
4.112 * [backup-simplify]: Simplify (/ 1 1) into 1
4.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.115 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
4.116 * [backup-simplify]: Simplify (- 0) into 0
4.116 * [backup-simplify]: Simplify 0 into 0
4.116 * [backup-simplify]: Simplify 0 into 0
4.116 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.118 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.119 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
4.119 * [backup-simplify]: Simplify (- 0) into 0
4.119 * [backup-simplify]: Simplify (+ 0 0) into 0
4.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.122 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.123 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
4.123 * [backup-simplify]: Simplify (+ 0 0) into 0
4.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
4.125 * [taylor]: Taking taylor expansion of 0 in y
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 1 into 1
4.125 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
4.125 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2)))
4.125 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0
4.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
4.125 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.125 * [taylor]: Taking taylor expansion of x in y
4.125 * [backup-simplify]: Simplify x into x
4.125 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
4.125 * [taylor]: Taking taylor expansion of 4.0 in y
4.125 * [backup-simplify]: Simplify 4.0 into 4.0
4.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.126 * [taylor]: Taking taylor expansion of y in y
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify 1 into 1
4.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
4.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.126 * [taylor]: Taking taylor expansion of x in x
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify 1 into 1
4.126 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
4.126 * [taylor]: Taking taylor expansion of 4.0 in x
4.126 * [backup-simplify]: Simplify 4.0 into 4.0
4.126 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.126 * [taylor]: Taking taylor expansion of y in x
4.126 * [backup-simplify]: Simplify y into y
4.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
4.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.126 * [taylor]: Taking taylor expansion of x in x
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify 1 into 1
4.126 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
4.126 * [taylor]: Taking taylor expansion of 4.0 in x
4.126 * [backup-simplify]: Simplify 4.0 into 4.0
4.126 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.126 * [taylor]: Taking taylor expansion of y in x
4.126 * [backup-simplify]: Simplify y into y
4.126 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.127 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
4.127 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
4.127 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
4.127 * [taylor]: Taking taylor expansion of 4.0 in y
4.127 * [backup-simplify]: Simplify 4.0 into 4.0
4.127 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.127 * [taylor]: Taking taylor expansion of y in y
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 1 into 1
4.127 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.128 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
4.128 * [backup-simplify]: Simplify (+ 0 0) into 0
4.128 * [taylor]: Taking taylor expansion of 0 in y
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify 0 into 0
4.129 * [backup-simplify]: Simplify (* 1 1) into 1
4.129 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.130 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
4.131 * [backup-simplify]: Simplify (+ 1 0) into 1
4.131 * [taylor]: Taking taylor expansion of 1 in y
4.131 * [backup-simplify]: Simplify 1 into 1
4.131 * [backup-simplify]: Simplify 1 into 1
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify (* 1 1) into 1
4.132 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.132 * [backup-simplify]: Simplify 4.0 into 4.0
4.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.133 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.134 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
4.135 * [backup-simplify]: Simplify (+ 0 0) into 0
4.135 * [taylor]: Taking taylor expansion of 0 in y
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 0 into 0
4.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.136 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.136 * [backup-simplify]: Simplify 0 into 0
4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.138 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.140 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
4.140 * [backup-simplify]: Simplify (+ 0 0) into 0
4.141 * [taylor]: Taking taylor expansion of 0 in y
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
4.141 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
4.142 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
4.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
4.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.142 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.142 * [taylor]: Taking taylor expansion of x in y
4.142 * [backup-simplify]: Simplify x into x
4.142 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.142 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.142 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
4.142 * [taylor]: Taking taylor expansion of 4.0 in y
4.142 * [backup-simplify]: Simplify 4.0 into 4.0
4.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.142 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.142 * [taylor]: Taking taylor expansion of y in y
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 1 into 1
4.143 * [backup-simplify]: Simplify (* 1 1) into 1
4.143 * [backup-simplify]: Simplify (/ 1 1) into 1
4.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.143 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.143 * [taylor]: Taking taylor expansion of x in x
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 1 into 1
4.144 * [backup-simplify]: Simplify (* 1 1) into 1
4.144 * [backup-simplify]: Simplify (/ 1 1) into 1
4.144 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.144 * [taylor]: Taking taylor expansion of 4.0 in x
4.144 * [backup-simplify]: Simplify 4.0 into 4.0
4.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.144 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.144 * [taylor]: Taking taylor expansion of y in x
4.144 * [backup-simplify]: Simplify y into y
4.144 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.145 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.145 * [taylor]: Taking taylor expansion of x in x
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify 1 into 1
4.145 * [backup-simplify]: Simplify (* 1 1) into 1
4.146 * [backup-simplify]: Simplify (/ 1 1) into 1
4.146 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.146 * [taylor]: Taking taylor expansion of 4.0 in x
4.146 * [backup-simplify]: Simplify 4.0 into 4.0
4.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.146 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.146 * [taylor]: Taking taylor expansion of y in x
4.146 * [backup-simplify]: Simplify y into y
4.146 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.147 * [backup-simplify]: Simplify (+ 1 0) into 1
4.147 * [taylor]: Taking taylor expansion of 1 in y
4.147 * [backup-simplify]: Simplify 1 into 1
4.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.148 * [backup-simplify]: Simplify (+ 0 0) into 0
4.148 * [taylor]: Taking taylor expansion of 0 in y
4.148 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.150 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
4.151 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
4.151 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
4.151 * [taylor]: Taking taylor expansion of 4.0 in y
4.151 * [backup-simplify]: Simplify 4.0 into 4.0
4.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.151 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.151 * [taylor]: Taking taylor expansion of y in y
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.151 * [backup-simplify]: Simplify (* 1 1) into 1
4.152 * [backup-simplify]: Simplify (/ 1 1) into 1
4.152 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.152 * [backup-simplify]: Simplify 4.0 into 4.0
4.152 * [backup-simplify]: Simplify 1 into 1
4.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.154 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.155 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
4.155 * [backup-simplify]: Simplify (+ 0 0) into 0
4.155 * [taylor]: Taking taylor expansion of 0 in y
4.155 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.158 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.158 * [backup-simplify]: Simplify 0 into 0
4.158 * [backup-simplify]: Simplify 0 into 0
4.158 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.160 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.162 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
4.162 * [backup-simplify]: Simplify (+ 0 0) into 0
4.162 * [taylor]: Taking taylor expansion of 0 in y
4.162 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.165 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
4.165 * [backup-simplify]: Simplify 0 into 0
4.165 * [backup-simplify]: Simplify 0 into 0
4.165 * [backup-simplify]: Simplify 0 into 0
4.166 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
4.166 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
4.166 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
4.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
4.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.166 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.166 * [taylor]: Taking taylor expansion of x in y
4.166 * [backup-simplify]: Simplify x into x
4.166 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.166 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.166 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
4.166 * [taylor]: Taking taylor expansion of 4.0 in y
4.166 * [backup-simplify]: Simplify 4.0 into 4.0
4.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.167 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.167 * [taylor]: Taking taylor expansion of y in y
4.167 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify 1 into 1
4.167 * [backup-simplify]: Simplify (* 1 1) into 1
4.167 * [backup-simplify]: Simplify (/ 1 1) into 1
4.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.167 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.168 * [taylor]: Taking taylor expansion of x in x
4.168 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify 1 into 1
4.168 * [backup-simplify]: Simplify (* 1 1) into 1
4.168 * [backup-simplify]: Simplify (/ 1 1) into 1
4.168 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.168 * [taylor]: Taking taylor expansion of 4.0 in x
4.168 * [backup-simplify]: Simplify 4.0 into 4.0
4.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.168 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.168 * [taylor]: Taking taylor expansion of y in x
4.168 * [backup-simplify]: Simplify y into y
4.169 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.169 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
4.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.169 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.169 * [taylor]: Taking taylor expansion of x in x
4.169 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify 1 into 1
4.169 * [backup-simplify]: Simplify (* 1 1) into 1
4.170 * [backup-simplify]: Simplify (/ 1 1) into 1
4.170 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
4.170 * [taylor]: Taking taylor expansion of 4.0 in x
4.170 * [backup-simplify]: Simplify 4.0 into 4.0
4.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.170 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.170 * [taylor]: Taking taylor expansion of y in x
4.170 * [backup-simplify]: Simplify y into y
4.170 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.170 * [backup-simplify]: Simplify (+ 1 0) into 1
4.170 * [taylor]: Taking taylor expansion of 1 in y
4.171 * [backup-simplify]: Simplify 1 into 1
4.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.172 * [backup-simplify]: Simplify (+ 0 0) into 0
4.172 * [taylor]: Taking taylor expansion of 0 in y
4.172 * [backup-simplify]: Simplify 0 into 0
4.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.174 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
4.174 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
4.174 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
4.174 * [taylor]: Taking taylor expansion of 4.0 in y
4.174 * [backup-simplify]: Simplify 4.0 into 4.0
4.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.175 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.175 * [taylor]: Taking taylor expansion of y in y
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 1 into 1
4.175 * [backup-simplify]: Simplify (* 1 1) into 1
4.181 * [backup-simplify]: Simplify (/ 1 1) into 1
4.183 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.183 * [backup-simplify]: Simplify 4.0 into 4.0
4.183 * [backup-simplify]: Simplify 1 into 1
4.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.185 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.186 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
4.186 * [backup-simplify]: Simplify (+ 0 0) into 0
4.186 * [taylor]: Taking taylor expansion of 0 in y
4.186 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.188 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.188 * [backup-simplify]: Simplify 0 into 0
4.188 * [backup-simplify]: Simplify 0 into 0
4.189 * [backup-simplify]: Simplify 0 into 0
4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.191 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.193 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
4.193 * [backup-simplify]: Simplify (+ 0 0) into 0
4.193 * [taylor]: Taking taylor expansion of 0 in y
4.193 * [backup-simplify]: Simplify 0 into 0
4.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.196 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
4.197 * * * [progress]: simplifying candidates
4.201 * [simplify]: Simplifying:
  (- (log (+ (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))))
  (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (exp (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))))
  (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (* (* (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (- (+ (* x x) (* (* y 4.0) y)))
  (- (- (* x x) (* (* y 4.0) y)))
  (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) 1)
  (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) 1)
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))
  (/ 1 (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ 1 1)
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ 1 (- (* x x) (* (* y 4.0) y)))
  (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
  (/ (+ (* x x) (* (* y 4.0) y)) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (* x x) (* (* y 4.0) y)) 1)
  (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))
  (* (- (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))))
  (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (exp (* x x)) (exp (* (* y 4.0) y)))
  (log (- (* x x) (* (* y 4.0) y)))
  (exp (- (* x x) (* (* y 4.0) y)))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (cbrt (- (* x x) (* (* y 4.0) y)))
  (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3))
  (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))
  (- (* (* y 4.0) y))
  (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))
  (+ (* x x) (* (* y 4.0) y))
  (- (* (* y 4.0) y))
  (- 1)
  (- (- (log (+ (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y)))))
  (- (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (- 0 (- (log (+ (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y)))))
  (- 0 (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (- (log 1) (- (log (+ (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y)))))
  (- (log 1) (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (log (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (exp (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))))
  (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (* (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
  (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (* (* (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (sqrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (sqrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (- 1)
  (- (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
  (/ (cbrt 1) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (cbrt 1) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ (cbrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (cbrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) 1))
  (/ (cbrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ (cbrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (cbrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) 1))
  (/ (cbrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ (cbrt 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (cbrt 1) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 1))
  (/ (cbrt 1) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt 1) (cbrt 1)) (+ (* x x) (* (* y 4.0) y)))
  (/ (cbrt 1) (/ 1 (- (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* (* y 4.0) y)) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3))))
  (/ (cbrt 1) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))))
  (/ (cbrt 1) (+ (* x x) (* (* y 4.0) y)))
  (/ (sqrt 1) (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
  (/ (sqrt 1) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ (sqrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) 1))
  (/ (sqrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))))
  (/ (sqrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ (sqrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) 1))
  (/ (sqrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))))
  (/ (sqrt 1) (/ 1 (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ (sqrt 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ 1 (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ 1 1))
  (/ (sqrt 1) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (/ (sqrt 1) (+ (* x x) (* (* y 4.0) y)))
  (/ (sqrt 1) (/ 1 (- (* x x) (* (* y 4.0) y))))
  (/ (sqrt 1) (/ (+ (* x x) (* (* y 4.0) y)) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3))))
  (/ (sqrt 1) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))))
  (/ (sqrt 1) (/ (+ (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))))
  (/ (sqrt 1) (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) 1))
  (/ 1 (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))))
  (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) 1))
  (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))))
  (/ 1 (/ 1 (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ 1 (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (/ 1 1)
  (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (/ 1 (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (/ 1 (- (* x x) (* (* y 4.0) y))))
  (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3))))
  (/ 1 (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))))
  (/ 1 (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (/ (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) 1)
  (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) 1))
  (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) 1))
  (/ 1 (/ 1 (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (/ 1 (sqrt (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (/ 1 1))
  (/ 1 1)
  (/ 1 (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3))))
  (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))))
  (/ (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (cbrt 1))
  (/ (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (sqrt 1))
  (/ (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) 1)
  (/ 1 (+ (* x x) (* (* y 4.0) y)))
  (* (exp (* x x)) (exp (* (* y 4.0) y)))
  (log (+ (* x x) (* (* y 4.0) y)))
  (exp (+ (* x x) (* (* y 4.0) y)))
  (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (cbrt (+ (* x x) (* (* y 4.0) y)))
  (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))
  (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))
  (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))
  (- (* x x) (* (* y 4.0) y))
  -1.0
  1
  1
  (- (pow x 2) (* 4.0 (pow y 2)))
  (- (pow x 2) (* 4.0 (pow y 2)))
  (- (pow x 2) (* 4.0 (pow y 2)))
  -1.0
  1
  1
  (+ (pow x 2) (* 4.0 (pow y 2)))
  (+ (pow x 2) (* 4.0 (pow y 2)))
  (+ (pow x 2) (* 4.0 (pow y 2)))
4.212 * * [simplify]: Extracting # 0 : cost  0
4.212 * * [simplify]: Extracting # 1 : cost  0
4.213 * * [simplify]: Extracting # 2 : cost  0
4.213 * * [simplify]: Extracting # 3 : cost  0
4.213 * * [simplify]: Extracting # 4 : cost  0
4.214 * * [simplify]: Extracting # 5 : cost  0
4.214 * * [simplify]: Extracting # 6 : cost  0
4.215 * * [simplify]: iteration  0 :  192  enodes  (cost  4490 )
4.324 * * [simplify]: Extracting # 0 : cost  0
4.326 * * [simplify]: Extracting # 1 : cost  0
4.326 * * [simplify]: Extracting # 2 : cost  0
4.327 * * [simplify]: Extracting # 3 : cost  0
4.328 * * [simplify]: Extracting # 4 : cost  0
4.329 * * [simplify]: iteration  1 :  447  enodes  (cost  4224 )
4.527 * * [simplify]: Extracting # 0 : cost  0
4.529 * * [simplify]: Extracting # 1 : cost  0
4.532 * * [simplify]: Extracting # 2 : cost  0
4.534 * * [simplify]: Extracting # 3 : cost  0
4.537 * * [simplify]: Extracting # 4 : cost  0
4.539 * * [simplify]: Extracting # 5 : cost  0
4.542 * * [simplify]: iteration  2 :  1158  enodes  (cost  3827 )
5.741 * * [simplify]: Extracting # 0 : cost  0
5.750 * * [simplify]: Extracting # 1 : cost  0
5.757 * * [simplify]: Extracting # 2 : cost  0
5.765 * * [simplify]: Extracting # 3 : cost  0
5.779 * * [simplify]: Extracting # 4 : cost  0
5.787 * * [simplify]: iteration  3 :  4188  enodes  (cost  3710 )
7.501 * * [simplify]: Extracting # 0 : cost  0
7.513 * * [simplify]: Extracting # 1 : cost  0
7.519 * * [simplify]: Extracting # 2 : cost  0
7.525 * * [simplify]: iteration done:  5001  enodes  (cost  3710 )
7.527 * [simplify]: Simplified to:
  (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (exp (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (pow (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) 3)
  (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (pow (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) 3)
  (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (- (+ (* x x) (* (* y 4.0) y)))
  (- (* (* y 4.0) y) (* x x))
  (/ (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))))
  (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* 4.0 (pow y 2))))
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))
  (/ 1 (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y))))
  1
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ 1 (- (* x x) (* 4.0 (pow y 2))))
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (/ (+ (* x x) (* (* y 4.0) y)) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))
  (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y))))
  (+ (* x x) (* 4.0 (pow y 2)))
  (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 6) (pow (* (* y 4.0) y) 3)))
  (/ 1 (- (* x x) (* 4.0 (pow y 2))))
  (* (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 4) (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x)))))
  (* (- (* x x) (* 4.0 (pow y 2))) (- (* x x) (* 4.0 (pow y 2))))
  (exp (- (* x x) (* (* y 4.0) y)))
  (log (- (* x x) (* 4.0 (pow y 2))))
  (exp (- (* x x) (* (* y 4.0) y)))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (cbrt (- (* x x) (* 4.0 (pow y 2))))
  (pow (- (* x x) (* (* y 4.0) y)) 3)
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (- (pow x 6) (pow (* (* y 4.0) y) 3))
  (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4))
  (- (* 4.0 (pow y 2)))
  (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3)))
  (+ (* x x) (* 4.0 (pow y 2)))
  (- (* 4.0 (pow y 2)))
  -1
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))))
  (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
  (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
  (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
  (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))))
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))))
  -1
  (- (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
  (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (+ (pow x 2) (* 4.0 (pow y 2))))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  1
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2))))
  1
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (/ 1 (+ (* x x) (* 4.0 (pow y 2))))
  (- (* x x) (* 4.0 (pow y 2)))
  (/ (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (/ 1 (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4)))
  (- (* x x) (* 4.0 (pow y 2)))
  (/ 1 (+ (* x x) (* 4.0 (pow y 2))))
  (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (+ (pow x 2) (* 4.0 (pow y 2))))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  1
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2))))
  1
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (/ 1 (+ (* x x) (* 4.0 (pow y 2))))
  (- (* x x) (* 4.0 (pow y 2)))
  (/ (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (/ 1 (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4)))
  (- (* x x) (* 4.0 (pow y 2)))
  (/ 1 (+ (* x x) (* 4.0 (pow y 2))))
  (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (+ (pow x 2) (* 4.0 (pow y 2))))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  1
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2))))
  1
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (/ 1 (+ (* x x) (* 4.0 (pow y 2))))
  (- (* x x) (* 4.0 (pow y 2)))
  (/ (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (/ 1 (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4)))
  (- (* x x) (* 4.0 (pow y 2)))
  (/ 1 (+ (* x x) (* 4.0 (pow y 2))))
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  1
  1
  (/ 1 (+ (* x x) (* 4.0 (pow y 2))))
  (/ (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 2) (* 4.0 (pow y 2))))
  (- (* x x) (* 4.0 (pow y 2)))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ 1 (+ (* x x) (* 4.0 (pow y 2))))
  (exp (+ (* x x) (* (* y 4.0) y)))
  (log (+ (* x x) (* (* y 4.0) y)))
  (exp (+ (* x x) (* (* y 4.0) y)))
  (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (cbrt (+ (* x x) (* (* y 4.0) y)))
  (pow (+ (* x x) (* (* y 4.0) y)) 3)
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (+ (pow x 6) (pow (* (* y 4.0) y) 3))
  (+ (pow x 4) (* y (* 4.0 (* y (- (* (* y 4.0) y) (* x x))))))
  (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3)))
  (- (* x x) (* 4.0 (pow y 2)))
  -1.0
  1
  1
  (- (* x x) (* 4.0 (pow y 2)))
  (- (* x x) (* 4.0 (pow y 2)))
  (- (* x x) (* 4.0 (pow y 2)))
  -1.0
  1
  1
  (+ (* x x) (* 4.0 (pow y 2)))
  (+ (* x x) (* 4.0 (pow y 2)))
  (+ (* x x) (* 4.0 (pow y 2)))
7.528 * * * [progress]: adding candidates to table
7.920 * * [progress]: iteration 4 / 4
7.921 * * * [progress]: picking best candidate
7.926 * * * * [pick]: Picked  #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))>
7.926 * * * [progress]: localizing error
7.955 * * * [progress]: generating rewritten candidates
7.955 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
8.014 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
8.030 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
8.050 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
8.071 * * * [progress]: generating series expansions
8.072 * * * * [progress]: [ 1 / 4 ] generating series at (2)
8.072 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))
8.072 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0
8.073 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y
8.073 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
8.073 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.073 * [taylor]: Taking taylor expansion of x in y
8.073 * [backup-simplify]: Simplify x into x
8.073 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
8.073 * [taylor]: Taking taylor expansion of 4.0 in y
8.073 * [backup-simplify]: Simplify 4.0 into 4.0
8.073 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.073 * [taylor]: Taking taylor expansion of y in y
8.073 * [backup-simplify]: Simplify 0 into 0
8.073 * [backup-simplify]: Simplify 1 into 1
8.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
8.073 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.073 * [taylor]: Taking taylor expansion of x in y
8.073 * [backup-simplify]: Simplify x into x
8.073 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
8.073 * [taylor]: Taking taylor expansion of 4.0 in y
8.073 * [backup-simplify]: Simplify 4.0 into 4.0
8.073 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.073 * [taylor]: Taking taylor expansion of y in y
8.073 * [backup-simplify]: Simplify 0 into 0
8.073 * [backup-simplify]: Simplify 1 into 1
8.073 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.074 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.074 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.074 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.074 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
8.074 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
8.074 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
8.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.074 * [taylor]: Taking taylor expansion of x in x
8.074 * [backup-simplify]: Simplify 0 into 0
8.074 * [backup-simplify]: Simplify 1 into 1
8.074 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
8.074 * [taylor]: Taking taylor expansion of 4.0 in x
8.074 * [backup-simplify]: Simplify 4.0 into 4.0
8.074 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.074 * [taylor]: Taking taylor expansion of y in x
8.074 * [backup-simplify]: Simplify y into y
8.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
8.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.075 * [taylor]: Taking taylor expansion of x in x
8.075 * [backup-simplify]: Simplify 0 into 0
8.075 * [backup-simplify]: Simplify 1 into 1
8.075 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
8.075 * [taylor]: Taking taylor expansion of 4.0 in x
8.075 * [backup-simplify]: Simplify 4.0 into 4.0
8.075 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.075 * [taylor]: Taking taylor expansion of y in x
8.075 * [backup-simplify]: Simplify y into y
8.075 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.075 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
8.075 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
8.075 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
8.075 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.076 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
8.076 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
8.076 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
8.076 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
8.076 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
8.076 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.076 * [taylor]: Taking taylor expansion of x in x
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 1 into 1
8.076 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
8.076 * [taylor]: Taking taylor expansion of 4.0 in x
8.076 * [backup-simplify]: Simplify 4.0 into 4.0
8.076 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.077 * [taylor]: Taking taylor expansion of y in x
8.077 * [backup-simplify]: Simplify y into y
8.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
8.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.077 * [taylor]: Taking taylor expansion of x in x
8.077 * [backup-simplify]: Simplify 0 into 0
8.077 * [backup-simplify]: Simplify 1 into 1
8.077 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
8.077 * [taylor]: Taking taylor expansion of 4.0 in x
8.077 * [backup-simplify]: Simplify 4.0 into 4.0
8.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.077 * [taylor]: Taking taylor expansion of y in x
8.077 * [backup-simplify]: Simplify y into y
8.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.077 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
8.077 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
8.078 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
8.078 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.078 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
8.078 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
8.078 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
8.078 * [taylor]: Taking taylor expansion of -1.0 in y
8.079 * [backup-simplify]: Simplify -1.0 into -1.0
8.079 * [backup-simplify]: Simplify -1.0 into -1.0
8.079 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.080 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
8.080 * [backup-simplify]: Simplify (- 0) into 0
8.081 * [backup-simplify]: Simplify (+ 0 0) into 0
8.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.081 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
8.082 * [backup-simplify]: Simplify (+ 0 0) into 0
8.082 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0
8.082 * [taylor]: Taking taylor expansion of 0 in y
8.082 * [backup-simplify]: Simplify 0 into 0
8.082 * [backup-simplify]: Simplify 0 into 0
8.082 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify (* 1 1) into 1
8.083 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.084 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
8.085 * [backup-simplify]: Simplify (- 0) into 0
8.085 * [backup-simplify]: Simplify (+ 1 0) into 1
8.085 * [backup-simplify]: Simplify (* 1 1) into 1
8.086 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.087 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
8.088 * [backup-simplify]: Simplify (+ 1 0) into 1
8.089 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2)))
8.089 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y
8.089 * [taylor]: Taking taylor expansion of 0.5 in y
8.089 * [backup-simplify]: Simplify 0.5 into 0.5
8.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.089 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.089 * [taylor]: Taking taylor expansion of y in y
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify 1 into 1
8.089 * [backup-simplify]: Simplify (* 1 1) into 1
8.090 * [backup-simplify]: Simplify (/ 1 1) into 1
8.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.094 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
8.094 * [backup-simplify]: Simplify 0 into 0
8.094 * [backup-simplify]: Simplify 0 into 0
8.094 * [backup-simplify]: Simplify 0 into 0
8.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.096 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
8.097 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
8.097 * [backup-simplify]: Simplify (- 0) into 0
8.098 * [backup-simplify]: Simplify (+ 0 0) into 0
8.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.099 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
8.100 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
8.101 * [backup-simplify]: Simplify (+ 0 0) into 0
8.102 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0
8.102 * [taylor]: Taking taylor expansion of 0 in y
8.102 * [backup-simplify]: Simplify 0 into 0
8.102 * [backup-simplify]: Simplify 0 into 0
8.102 * [backup-simplify]: Simplify -1.0 into -1.0
8.104 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
8.104 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
8.104 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
8.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
8.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.104 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.104 * [taylor]: Taking taylor expansion of x in y
8.104 * [backup-simplify]: Simplify x into x
8.104 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.104 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.104 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.104 * [taylor]: Taking taylor expansion of 4.0 in y
8.104 * [backup-simplify]: Simplify 4.0 into 4.0
8.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.104 * [taylor]: Taking taylor expansion of y in y
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.105 * [backup-simplify]: Simplify (* 1 1) into 1
8.105 * [backup-simplify]: Simplify (/ 1 1) into 1
8.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
8.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.106 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.106 * [taylor]: Taking taylor expansion of x in y
8.106 * [backup-simplify]: Simplify x into x
8.106 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.106 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.106 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.106 * [taylor]: Taking taylor expansion of 4.0 in y
8.106 * [backup-simplify]: Simplify 4.0 into 4.0
8.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.106 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.106 * [taylor]: Taking taylor expansion of y in y
8.106 * [backup-simplify]: Simplify 0 into 0
8.106 * [backup-simplify]: Simplify 1 into 1
8.107 * [backup-simplify]: Simplify (* 1 1) into 1
8.107 * [backup-simplify]: Simplify (/ 1 1) into 1
8.108 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.108 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.109 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
8.109 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.110 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.111 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
8.111 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.111 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.111 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.111 * [taylor]: Taking taylor expansion of x in x
8.111 * [backup-simplify]: Simplify 0 into 0
8.111 * [backup-simplify]: Simplify 1 into 1
8.111 * [backup-simplify]: Simplify (* 1 1) into 1
8.112 * [backup-simplify]: Simplify (/ 1 1) into 1
8.112 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.112 * [taylor]: Taking taylor expansion of 4.0 in x
8.112 * [backup-simplify]: Simplify 4.0 into 4.0
8.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.112 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.112 * [taylor]: Taking taylor expansion of y in x
8.112 * [backup-simplify]: Simplify y into y
8.112 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.112 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.112 * [taylor]: Taking taylor expansion of x in x
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify 1 into 1
8.113 * [backup-simplify]: Simplify (* 1 1) into 1
8.113 * [backup-simplify]: Simplify (/ 1 1) into 1
8.113 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.113 * [taylor]: Taking taylor expansion of 4.0 in x
8.113 * [backup-simplify]: Simplify 4.0 into 4.0
8.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.113 * [taylor]: Taking taylor expansion of y in x
8.113 * [backup-simplify]: Simplify y into y
8.113 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.114 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.114 * [backup-simplify]: Simplify (+ 1 0) into 1
8.114 * [backup-simplify]: Simplify (+ 1 0) into 1
8.115 * [backup-simplify]: Simplify (/ 1 1) into 1
8.115 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.115 * [taylor]: Taking taylor expansion of x in x
8.115 * [backup-simplify]: Simplify 0 into 0
8.115 * [backup-simplify]: Simplify 1 into 1
8.115 * [backup-simplify]: Simplify (* 1 1) into 1
8.116 * [backup-simplify]: Simplify (/ 1 1) into 1
8.116 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.116 * [taylor]: Taking taylor expansion of 4.0 in x
8.116 * [backup-simplify]: Simplify 4.0 into 4.0
8.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.116 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.116 * [taylor]: Taking taylor expansion of y in x
8.116 * [backup-simplify]: Simplify y into y
8.116 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.116 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.116 * [taylor]: Taking taylor expansion of x in x
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 1 into 1
8.117 * [backup-simplify]: Simplify (* 1 1) into 1
8.117 * [backup-simplify]: Simplify (/ 1 1) into 1
8.117 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.117 * [taylor]: Taking taylor expansion of 4.0 in x
8.117 * [backup-simplify]: Simplify 4.0 into 4.0
8.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.117 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.117 * [taylor]: Taking taylor expansion of y in x
8.117 * [backup-simplify]: Simplify y into y
8.117 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.118 * [backup-simplify]: Simplify (+ 1 0) into 1
8.118 * [backup-simplify]: Simplify (+ 1 0) into 1
8.119 * [backup-simplify]: Simplify (/ 1 1) into 1
8.119 * [taylor]: Taking taylor expansion of 1 in y
8.119 * [backup-simplify]: Simplify 1 into 1
8.119 * [backup-simplify]: Simplify 1 into 1
8.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.121 * [backup-simplify]: Simplify (+ 0 0) into 0
8.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.122 * [backup-simplify]: Simplify (+ 0 0) into 0
8.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
8.123 * [taylor]: Taking taylor expansion of 0 in y
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify 0 into 0
8.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.125 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
8.125 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
8.126 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
8.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.127 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
8.128 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
8.129 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2))))
8.129 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
8.129 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
8.129 * [taylor]: Taking taylor expansion of 8.0 in y
8.129 * [backup-simplify]: Simplify 8.0 into 8.0
8.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.129 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.129 * [taylor]: Taking taylor expansion of y in y
8.129 * [backup-simplify]: Simplify 0 into 0
8.129 * [backup-simplify]: Simplify 1 into 1
8.129 * [backup-simplify]: Simplify (* 1 1) into 1
8.129 * [backup-simplify]: Simplify (/ 1 1) into 1
8.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.132 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
8.132 * [backup-simplify]: Simplify (- 0) into 0
8.132 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.134 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.134 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
8.134 * [backup-simplify]: Simplify (- 0) into 0
8.135 * [backup-simplify]: Simplify (+ 0 0) into 0
8.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.136 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.136 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
8.137 * [backup-simplify]: Simplify (+ 0 0) into 0
8.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
8.138 * [taylor]: Taking taylor expansion of 0 in y
8.138 * [backup-simplify]: Simplify 0 into 0
8.138 * [backup-simplify]: Simplify 0 into 0
8.138 * [backup-simplify]: Simplify 1 into 1
8.139 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
8.139 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
8.139 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
8.139 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
8.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.139 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.139 * [taylor]: Taking taylor expansion of x in y
8.139 * [backup-simplify]: Simplify x into x
8.139 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.139 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.139 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.139 * [taylor]: Taking taylor expansion of 4.0 in y
8.139 * [backup-simplify]: Simplify 4.0 into 4.0
8.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.139 * [taylor]: Taking taylor expansion of y in y
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify 1 into 1
8.139 * [backup-simplify]: Simplify (* 1 1) into 1
8.140 * [backup-simplify]: Simplify (/ 1 1) into 1
8.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
8.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.140 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.140 * [taylor]: Taking taylor expansion of x in y
8.140 * [backup-simplify]: Simplify x into x
8.140 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.140 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.140 * [taylor]: Taking taylor expansion of 4.0 in y
8.140 * [backup-simplify]: Simplify 4.0 into 4.0
8.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.140 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.140 * [taylor]: Taking taylor expansion of y in y
8.140 * [backup-simplify]: Simplify 0 into 0
8.140 * [backup-simplify]: Simplify 1 into 1
8.140 * [backup-simplify]: Simplify (* 1 1) into 1
8.140 * [backup-simplify]: Simplify (/ 1 1) into 1
8.141 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.141 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.141 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
8.142 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.142 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.142 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
8.142 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.142 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.142 * [taylor]: Taking taylor expansion of x in x
8.143 * [backup-simplify]: Simplify 0 into 0
8.143 * [backup-simplify]: Simplify 1 into 1
8.143 * [backup-simplify]: Simplify (* 1 1) into 1
8.143 * [backup-simplify]: Simplify (/ 1 1) into 1
8.143 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.143 * [taylor]: Taking taylor expansion of 4.0 in x
8.143 * [backup-simplify]: Simplify 4.0 into 4.0
8.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.143 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.143 * [taylor]: Taking taylor expansion of y in x
8.143 * [backup-simplify]: Simplify y into y
8.143 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.143 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.143 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.143 * [taylor]: Taking taylor expansion of x in x
8.143 * [backup-simplify]: Simplify 0 into 0
8.143 * [backup-simplify]: Simplify 1 into 1
8.144 * [backup-simplify]: Simplify (* 1 1) into 1
8.144 * [backup-simplify]: Simplify (/ 1 1) into 1
8.144 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.144 * [taylor]: Taking taylor expansion of 4.0 in x
8.144 * [backup-simplify]: Simplify 4.0 into 4.0
8.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.144 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.144 * [taylor]: Taking taylor expansion of y in x
8.144 * [backup-simplify]: Simplify y into y
8.144 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.144 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.144 * [backup-simplify]: Simplify (+ 1 0) into 1
8.145 * [backup-simplify]: Simplify (+ 1 0) into 1
8.145 * [backup-simplify]: Simplify (/ 1 1) into 1
8.145 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.145 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.145 * [taylor]: Taking taylor expansion of x in x
8.145 * [backup-simplify]: Simplify 0 into 0
8.145 * [backup-simplify]: Simplify 1 into 1
8.145 * [backup-simplify]: Simplify (* 1 1) into 1
8.145 * [backup-simplify]: Simplify (/ 1 1) into 1
8.145 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.145 * [taylor]: Taking taylor expansion of 4.0 in x
8.146 * [backup-simplify]: Simplify 4.0 into 4.0
8.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.146 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.146 * [taylor]: Taking taylor expansion of y in x
8.146 * [backup-simplify]: Simplify y into y
8.146 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.146 * [taylor]: Taking taylor expansion of x in x
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.146 * [backup-simplify]: Simplify (* 1 1) into 1
8.146 * [backup-simplify]: Simplify (/ 1 1) into 1
8.146 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.146 * [taylor]: Taking taylor expansion of 4.0 in x
8.146 * [backup-simplify]: Simplify 4.0 into 4.0
8.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.146 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.146 * [taylor]: Taking taylor expansion of y in x
8.146 * [backup-simplify]: Simplify y into y
8.146 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.147 * [backup-simplify]: Simplify (+ 1 0) into 1
8.147 * [backup-simplify]: Simplify (+ 1 0) into 1
8.147 * [backup-simplify]: Simplify (/ 1 1) into 1
8.147 * [taylor]: Taking taylor expansion of 1 in y
8.147 * [backup-simplify]: Simplify 1 into 1
8.147 * [backup-simplify]: Simplify 1 into 1
8.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.148 * [backup-simplify]: Simplify (+ 0 0) into 0
8.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.149 * [backup-simplify]: Simplify (+ 0 0) into 0
8.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
8.150 * [taylor]: Taking taylor expansion of 0 in y
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.151 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
8.151 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
8.151 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
8.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.153 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
8.153 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
8.153 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2))))
8.153 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
8.153 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
8.154 * [taylor]: Taking taylor expansion of 8.0 in y
8.154 * [backup-simplify]: Simplify 8.0 into 8.0
8.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.154 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.154 * [taylor]: Taking taylor expansion of y in y
8.154 * [backup-simplify]: Simplify 0 into 0
8.154 * [backup-simplify]: Simplify 1 into 1
8.154 * [backup-simplify]: Simplify (* 1 1) into 1
8.154 * [backup-simplify]: Simplify (/ 1 1) into 1
8.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.156 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
8.157 * [backup-simplify]: Simplify (- 0) into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.158 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.159 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
8.159 * [backup-simplify]: Simplify (- 0) into 0
8.159 * [backup-simplify]: Simplify (+ 0 0) into 0
8.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.161 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.162 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
8.163 * [backup-simplify]: Simplify (+ 0 0) into 0
8.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
8.165 * [taylor]: Taking taylor expansion of 0 in y
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify 1 into 1
8.165 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
8.165 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* y 4.0) y))) into (sqrt (+ (pow x 2) (* 4.0 (pow y 2))))
8.165 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0
8.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y
8.165 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
8.165 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.165 * [taylor]: Taking taylor expansion of x in y
8.165 * [backup-simplify]: Simplify x into x
8.165 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
8.165 * [taylor]: Taking taylor expansion of 4.0 in y
8.165 * [backup-simplify]: Simplify 4.0 into 4.0
8.165 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.165 * [taylor]: Taking taylor expansion of y in y
8.165 * [backup-simplify]: Simplify 0 into 0
8.166 * [backup-simplify]: Simplify 1 into 1
8.166 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.166 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.166 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.166 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.166 * [backup-simplify]: Simplify (+ 0 0) into 0
8.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x
8.167 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
8.167 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.167 * [taylor]: Taking taylor expansion of x in x
8.167 * [backup-simplify]: Simplify 0 into 0
8.167 * [backup-simplify]: Simplify 1 into 1
8.167 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
8.167 * [taylor]: Taking taylor expansion of 4.0 in x
8.167 * [backup-simplify]: Simplify 4.0 into 4.0
8.167 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.167 * [taylor]: Taking taylor expansion of y in x
8.167 * [backup-simplify]: Simplify y into y
8.167 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.167 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
8.167 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
8.167 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0))
8.168 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.168 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
8.168 * [backup-simplify]: Simplify (+ 0 0) into 0
8.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0
8.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x
8.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
8.169 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.169 * [taylor]: Taking taylor expansion of x in x
8.169 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify 1 into 1
8.169 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
8.169 * [taylor]: Taking taylor expansion of 4.0 in x
8.169 * [backup-simplify]: Simplify 4.0 into 4.0
8.169 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.169 * [taylor]: Taking taylor expansion of y in x
8.169 * [backup-simplify]: Simplify y into y
8.169 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.169 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
8.169 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
8.170 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0))
8.170 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.170 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
8.171 * [backup-simplify]: Simplify (+ 0 0) into 0
8.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0
8.171 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y
8.171 * [taylor]: Taking taylor expansion of y in y
8.171 * [backup-simplify]: Simplify 0 into 0
8.171 * [backup-simplify]: Simplify 1 into 1
8.171 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y
8.171 * [taylor]: Taking taylor expansion of 4.0 in y
8.171 * [backup-simplify]: Simplify 4.0 into 4.0
8.172 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
8.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
8.173 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [taylor]: Taking taylor expansion of 0 in y
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify 0 into 0
8.175 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
8.175 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
8.176 * [backup-simplify]: Simplify (* 1 1) into 1
8.176 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.177 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
8.178 * [backup-simplify]: Simplify (+ 1 0) into 1
8.179 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* y (sqrt 4.0)))) into (/ 1/2 (* y (sqrt 4.0)))
8.179 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y
8.179 * [taylor]: Taking taylor expansion of 1/2 in y
8.179 * [backup-simplify]: Simplify 1/2 into 1/2
8.179 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y
8.179 * [taylor]: Taking taylor expansion of y in y
8.179 * [backup-simplify]: Simplify 0 into 0
8.179 * [backup-simplify]: Simplify 1 into 1
8.179 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y
8.179 * [taylor]: Taking taylor expansion of 4.0 in y
8.179 * [backup-simplify]: Simplify 4.0 into 4.0
8.180 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
8.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
8.181 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
8.189 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
8.190 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
8.191 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
8.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
8.194 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 0 into 0
8.195 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
8.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
8.196 * [backup-simplify]: Simplify 0 into 0
8.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
8.199 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
8.199 * [backup-simplify]: Simplify (+ 0 0) into 0
8.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* y (sqrt 4.0))))))) (* 2 (* y (sqrt 4.0)))) into 0
8.200 * [taylor]: Taking taylor expansion of 0 in y
8.200 * [backup-simplify]: Simplify 0 into 0
8.201 * [backup-simplify]: Simplify 0 into 0
8.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
8.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
8.205 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify (* (sqrt 4.0) (* y 1)) into (* y (sqrt 4.0))
8.206 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
8.206 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
8.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
8.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
8.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.206 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.206 * [taylor]: Taking taylor expansion of x in y
8.206 * [backup-simplify]: Simplify x into x
8.206 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.206 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.206 * [taylor]: Taking taylor expansion of 4.0 in y
8.206 * [backup-simplify]: Simplify 4.0 into 4.0
8.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.206 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.206 * [taylor]: Taking taylor expansion of y in y
8.206 * [backup-simplify]: Simplify 0 into 0
8.207 * [backup-simplify]: Simplify 1 into 1
8.207 * [backup-simplify]: Simplify (* 1 1) into 1
8.207 * [backup-simplify]: Simplify (/ 1 1) into 1
8.208 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.208 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.208 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
8.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.211 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.211 * [backup-simplify]: Simplify (+ 0 0) into 0
8.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
8.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.212 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.212 * [taylor]: Taking taylor expansion of x in x
8.212 * [backup-simplify]: Simplify 0 into 0
8.212 * [backup-simplify]: Simplify 1 into 1
8.212 * [backup-simplify]: Simplify (* 1 1) into 1
8.213 * [backup-simplify]: Simplify (/ 1 1) into 1
8.213 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.213 * [taylor]: Taking taylor expansion of 4.0 in x
8.213 * [backup-simplify]: Simplify 4.0 into 4.0
8.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.213 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.213 * [taylor]: Taking taylor expansion of y in x
8.213 * [backup-simplify]: Simplify y into y
8.213 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.213 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.214 * [backup-simplify]: Simplify (+ 1 0) into 1
8.214 * [backup-simplify]: Simplify (sqrt 1) into 1
8.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.216 * [backup-simplify]: Simplify (+ 0 0) into 0
8.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.217 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.217 * [taylor]: Taking taylor expansion of x in x
8.217 * [backup-simplify]: Simplify 0 into 0
8.217 * [backup-simplify]: Simplify 1 into 1
8.218 * [backup-simplify]: Simplify (* 1 1) into 1
8.218 * [backup-simplify]: Simplify (/ 1 1) into 1
8.218 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.218 * [taylor]: Taking taylor expansion of 4.0 in x
8.218 * [backup-simplify]: Simplify 4.0 into 4.0
8.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.218 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.219 * [taylor]: Taking taylor expansion of y in x
8.219 * [backup-simplify]: Simplify y into y
8.219 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.219 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.219 * [backup-simplify]: Simplify (+ 1 0) into 1
8.220 * [backup-simplify]: Simplify (sqrt 1) into 1
8.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.221 * [backup-simplify]: Simplify (+ 0 0) into 0
8.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.222 * [taylor]: Taking taylor expansion of 1 in y
8.222 * [backup-simplify]: Simplify 1 into 1
8.222 * [taylor]: Taking taylor expansion of 0 in y
8.222 * [backup-simplify]: Simplify 0 into 0
8.222 * [backup-simplify]: Simplify 1 into 1
8.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.225 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
8.225 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
8.226 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2))
8.226 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y
8.226 * [taylor]: Taking taylor expansion of 2.0 in y
8.226 * [backup-simplify]: Simplify 2.0 into 2.0
8.226 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.226 * [taylor]: Taking taylor expansion of y in y
8.227 * [backup-simplify]: Simplify 0 into 0
8.227 * [backup-simplify]: Simplify 1 into 1
8.227 * [backup-simplify]: Simplify (* 1 1) into 1
8.227 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
8.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
8.229 * [backup-simplify]: Simplify 0 into 0
8.229 * [backup-simplify]: Simplify 0 into 0
8.229 * [backup-simplify]: Simplify 0 into 0
8.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.232 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
8.233 * [backup-simplify]: Simplify (+ 0 0) into 0
8.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0
8.233 * [taylor]: Taking taylor expansion of 0 in y
8.233 * [backup-simplify]: Simplify 0 into 0
8.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
8.236 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
8.236 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
8.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
8.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
8.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.237 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.237 * [taylor]: Taking taylor expansion of x in y
8.237 * [backup-simplify]: Simplify x into x
8.237 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.237 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.237 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.237 * [taylor]: Taking taylor expansion of 4.0 in y
8.237 * [backup-simplify]: Simplify 4.0 into 4.0
8.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.237 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.237 * [taylor]: Taking taylor expansion of y in y
8.237 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify 1 into 1
8.238 * [backup-simplify]: Simplify (* 1 1) into 1
8.238 * [backup-simplify]: Simplify (/ 1 1) into 1
8.238 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.239 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.239 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
8.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.241 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.242 * [backup-simplify]: Simplify (+ 0 0) into 0
8.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
8.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.243 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.243 * [taylor]: Taking taylor expansion of x in x
8.243 * [backup-simplify]: Simplify 0 into 0
8.243 * [backup-simplify]: Simplify 1 into 1
8.243 * [backup-simplify]: Simplify (* 1 1) into 1
8.243 * [backup-simplify]: Simplify (/ 1 1) into 1
8.244 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.244 * [taylor]: Taking taylor expansion of 4.0 in x
8.244 * [backup-simplify]: Simplify 4.0 into 4.0
8.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.244 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.244 * [taylor]: Taking taylor expansion of y in x
8.244 * [backup-simplify]: Simplify y into y
8.244 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.244 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.244 * [backup-simplify]: Simplify (+ 1 0) into 1
8.245 * [backup-simplify]: Simplify (sqrt 1) into 1
8.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.247 * [backup-simplify]: Simplify (+ 0 0) into 0
8.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.248 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.248 * [taylor]: Taking taylor expansion of x in x
8.248 * [backup-simplify]: Simplify 0 into 0
8.248 * [backup-simplify]: Simplify 1 into 1
8.248 * [backup-simplify]: Simplify (* 1 1) into 1
8.248 * [backup-simplify]: Simplify (/ 1 1) into 1
8.248 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.248 * [taylor]: Taking taylor expansion of 4.0 in x
8.248 * [backup-simplify]: Simplify 4.0 into 4.0
8.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.249 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.249 * [taylor]: Taking taylor expansion of y in x
8.249 * [backup-simplify]: Simplify y into y
8.249 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.249 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.249 * [backup-simplify]: Simplify (+ 1 0) into 1
8.250 * [backup-simplify]: Simplify (sqrt 1) into 1
8.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.251 * [backup-simplify]: Simplify (+ 0 0) into 0
8.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.252 * [taylor]: Taking taylor expansion of 1 in y
8.252 * [backup-simplify]: Simplify 1 into 1
8.252 * [taylor]: Taking taylor expansion of 0 in y
8.252 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify 1 into 1
8.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.255 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
8.255 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
8.256 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2))
8.256 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y
8.256 * [taylor]: Taking taylor expansion of 2.0 in y
8.256 * [backup-simplify]: Simplify 2.0 into 2.0
8.256 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.256 * [taylor]: Taking taylor expansion of y in y
8.256 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify 1 into 1
8.257 * [backup-simplify]: Simplify (* 1 1) into 1
8.257 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
8.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify 0 into 0
8.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.261 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.262 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
8.262 * [backup-simplify]: Simplify (+ 0 0) into 0
8.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0
8.264 * [taylor]: Taking taylor expansion of 0 in y
8.264 * [backup-simplify]: Simplify 0 into 0
8.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.265 * [backup-simplify]: Simplify 0 into 0
8.266 * [backup-simplify]: Simplify 0 into 0
8.266 * [backup-simplify]: Simplify 0 into 0
8.266 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
8.266 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
8.266 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* y 4.0) y))) into (sqrt (+ (pow x 2) (* 4.0 (pow y 2))))
8.266 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0
8.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y
8.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
8.266 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.266 * [taylor]: Taking taylor expansion of x in y
8.266 * [backup-simplify]: Simplify x into x
8.266 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
8.266 * [taylor]: Taking taylor expansion of 4.0 in y
8.266 * [backup-simplify]: Simplify 4.0 into 4.0
8.266 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.266 * [taylor]: Taking taylor expansion of y in y
8.267 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 1 into 1
8.267 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.267 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.267 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.267 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.267 * [backup-simplify]: Simplify (+ 0 0) into 0
8.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.268 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x
8.268 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
8.268 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.268 * [taylor]: Taking taylor expansion of x in x
8.268 * [backup-simplify]: Simplify 0 into 0
8.268 * [backup-simplify]: Simplify 1 into 1
8.268 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
8.268 * [taylor]: Taking taylor expansion of 4.0 in x
8.268 * [backup-simplify]: Simplify 4.0 into 4.0
8.268 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.268 * [taylor]: Taking taylor expansion of y in x
8.268 * [backup-simplify]: Simplify y into y
8.268 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.268 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
8.268 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
8.269 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0))
8.269 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.269 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
8.270 * [backup-simplify]: Simplify (+ 0 0) into 0
8.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0
8.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x
8.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
8.270 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.270 * [taylor]: Taking taylor expansion of x in x
8.270 * [backup-simplify]: Simplify 0 into 0
8.270 * [backup-simplify]: Simplify 1 into 1
8.270 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
8.270 * [taylor]: Taking taylor expansion of 4.0 in x
8.270 * [backup-simplify]: Simplify 4.0 into 4.0
8.270 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.270 * [taylor]: Taking taylor expansion of y in x
8.270 * [backup-simplify]: Simplify y into y
8.270 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.270 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
8.271 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
8.271 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0))
8.271 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.271 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
8.272 * [backup-simplify]: Simplify (+ 0 0) into 0
8.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0
8.272 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y
8.272 * [taylor]: Taking taylor expansion of y in y
8.272 * [backup-simplify]: Simplify 0 into 0
8.272 * [backup-simplify]: Simplify 1 into 1
8.272 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y
8.272 * [taylor]: Taking taylor expansion of 4.0 in y
8.272 * [backup-simplify]: Simplify 4.0 into 4.0
8.273 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
8.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
8.274 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
8.274 * [backup-simplify]: Simplify 0 into 0
8.274 * [taylor]: Taking taylor expansion of 0 in y
8.274 * [backup-simplify]: Simplify 0 into 0
8.274 * [backup-simplify]: Simplify 0 into 0
8.276 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
8.277 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
8.277 * [backup-simplify]: Simplify (* 1 1) into 1
8.278 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.279 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
8.279 * [backup-simplify]: Simplify (+ 1 0) into 1
8.280 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* y (sqrt 4.0)))) into (/ 1/2 (* y (sqrt 4.0)))
8.280 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y
8.280 * [taylor]: Taking taylor expansion of 1/2 in y
8.280 * [backup-simplify]: Simplify 1/2 into 1/2
8.280 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y
8.280 * [taylor]: Taking taylor expansion of y in y
8.280 * [backup-simplify]: Simplify 0 into 0
8.280 * [backup-simplify]: Simplify 1 into 1
8.280 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y
8.280 * [taylor]: Taking taylor expansion of 4.0 in y
8.281 * [backup-simplify]: Simplify 4.0 into 4.0
8.281 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
8.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
8.282 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
8.284 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
8.285 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
8.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
8.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
8.289 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
8.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
8.291 * [backup-simplify]: Simplify 0 into 0
8.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.293 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
8.294 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
8.294 * [backup-simplify]: Simplify (+ 0 0) into 0
8.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* y (sqrt 4.0))))))) (* 2 (* y (sqrt 4.0)))) into 0
8.295 * [taylor]: Taking taylor expansion of 0 in y
8.295 * [backup-simplify]: Simplify 0 into 0
8.295 * [backup-simplify]: Simplify 0 into 0
8.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
8.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
8.299 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
8.300 * [backup-simplify]: Simplify 0 into 0
8.300 * [backup-simplify]: Simplify 0 into 0
8.300 * [backup-simplify]: Simplify (* (sqrt 4.0) (* y 1)) into (* y (sqrt 4.0))
8.300 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
8.300 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
8.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
8.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
8.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.301 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.301 * [taylor]: Taking taylor expansion of x in y
8.301 * [backup-simplify]: Simplify x into x
8.301 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.301 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.301 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.301 * [taylor]: Taking taylor expansion of 4.0 in y
8.301 * [backup-simplify]: Simplify 4.0 into 4.0
8.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.301 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.301 * [taylor]: Taking taylor expansion of y in y
8.301 * [backup-simplify]: Simplify 0 into 0
8.301 * [backup-simplify]: Simplify 1 into 1
8.302 * [backup-simplify]: Simplify (* 1 1) into 1
8.302 * [backup-simplify]: Simplify (/ 1 1) into 1
8.302 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.303 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.303 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
8.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.305 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.305 * [backup-simplify]: Simplify (+ 0 0) into 0
8.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
8.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.306 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.306 * [taylor]: Taking taylor expansion of x in x
8.306 * [backup-simplify]: Simplify 0 into 0
8.306 * [backup-simplify]: Simplify 1 into 1
8.307 * [backup-simplify]: Simplify (* 1 1) into 1
8.307 * [backup-simplify]: Simplify (/ 1 1) into 1
8.307 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.307 * [taylor]: Taking taylor expansion of 4.0 in x
8.307 * [backup-simplify]: Simplify 4.0 into 4.0
8.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.307 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.307 * [taylor]: Taking taylor expansion of y in x
8.307 * [backup-simplify]: Simplify y into y
8.307 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.308 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.308 * [backup-simplify]: Simplify (+ 1 0) into 1
8.308 * [backup-simplify]: Simplify (sqrt 1) into 1
8.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.310 * [backup-simplify]: Simplify (+ 0 0) into 0
8.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.311 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.311 * [taylor]: Taking taylor expansion of x in x
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 1 into 1
8.311 * [backup-simplify]: Simplify (* 1 1) into 1
8.312 * [backup-simplify]: Simplify (/ 1 1) into 1
8.312 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.312 * [taylor]: Taking taylor expansion of 4.0 in x
8.312 * [backup-simplify]: Simplify 4.0 into 4.0
8.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.312 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.312 * [taylor]: Taking taylor expansion of y in x
8.312 * [backup-simplify]: Simplify y into y
8.312 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.312 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.313 * [backup-simplify]: Simplify (+ 1 0) into 1
8.314 * [backup-simplify]: Simplify (sqrt 1) into 1
8.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.315 * [backup-simplify]: Simplify (+ 0 0) into 0
8.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.316 * [taylor]: Taking taylor expansion of 1 in y
8.316 * [backup-simplify]: Simplify 1 into 1
8.316 * [taylor]: Taking taylor expansion of 0 in y
8.316 * [backup-simplify]: Simplify 0 into 0
8.316 * [backup-simplify]: Simplify 1 into 1
8.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.318 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
8.319 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
8.320 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2))
8.320 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y
8.320 * [taylor]: Taking taylor expansion of 2.0 in y
8.320 * [backup-simplify]: Simplify 2.0 into 2.0
8.320 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.320 * [taylor]: Taking taylor expansion of y in y
8.320 * [backup-simplify]: Simplify 0 into 0
8.320 * [backup-simplify]: Simplify 1 into 1
8.320 * [backup-simplify]: Simplify (* 1 1) into 1
8.321 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
8.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
8.322 * [backup-simplify]: Simplify 0 into 0
8.322 * [backup-simplify]: Simplify 0 into 0
8.322 * [backup-simplify]: Simplify 0 into 0
8.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.325 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.326 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
8.326 * [backup-simplify]: Simplify (+ 0 0) into 0
8.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0
8.327 * [taylor]: Taking taylor expansion of 0 in y
8.327 * [backup-simplify]: Simplify 0 into 0
8.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.329 * [backup-simplify]: Simplify 0 into 0
8.329 * [backup-simplify]: Simplify 0 into 0
8.329 * [backup-simplify]: Simplify 0 into 0
8.329 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
8.329 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
8.329 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
8.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
8.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
8.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.329 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.330 * [taylor]: Taking taylor expansion of x in y
8.330 * [backup-simplify]: Simplify x into x
8.330 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.330 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.330 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.330 * [taylor]: Taking taylor expansion of 4.0 in y
8.330 * [backup-simplify]: Simplify 4.0 into 4.0
8.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.330 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.330 * [taylor]: Taking taylor expansion of y in y
8.330 * [backup-simplify]: Simplify 0 into 0
8.330 * [backup-simplify]: Simplify 1 into 1
8.330 * [backup-simplify]: Simplify (* 1 1) into 1
8.331 * [backup-simplify]: Simplify (/ 1 1) into 1
8.331 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.332 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.332 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
8.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.334 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.334 * [backup-simplify]: Simplify (+ 0 0) into 0
8.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
8.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.335 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.335 * [taylor]: Taking taylor expansion of x in x
8.335 * [backup-simplify]: Simplify 0 into 0
8.335 * [backup-simplify]: Simplify 1 into 1
8.336 * [backup-simplify]: Simplify (* 1 1) into 1
8.336 * [backup-simplify]: Simplify (/ 1 1) into 1
8.336 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.336 * [taylor]: Taking taylor expansion of 4.0 in x
8.336 * [backup-simplify]: Simplify 4.0 into 4.0
8.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.336 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.336 * [taylor]: Taking taylor expansion of y in x
8.336 * [backup-simplify]: Simplify y into y
8.336 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.337 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.337 * [backup-simplify]: Simplify (+ 1 0) into 1
8.337 * [backup-simplify]: Simplify (sqrt 1) into 1
8.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.339 * [backup-simplify]: Simplify (+ 0 0) into 0
8.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
8.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.340 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.340 * [taylor]: Taking taylor expansion of x in x
8.340 * [backup-simplify]: Simplify 0 into 0
8.340 * [backup-simplify]: Simplify 1 into 1
8.340 * [backup-simplify]: Simplify (* 1 1) into 1
8.348 * [backup-simplify]: Simplify (/ 1 1) into 1
8.349 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.349 * [taylor]: Taking taylor expansion of 4.0 in x
8.349 * [backup-simplify]: Simplify 4.0 into 4.0
8.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.349 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.349 * [taylor]: Taking taylor expansion of y in x
8.349 * [backup-simplify]: Simplify y into y
8.349 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.350 * [backup-simplify]: Simplify (+ 1 0) into 1
8.350 * [backup-simplify]: Simplify (sqrt 1) into 1
8.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.352 * [backup-simplify]: Simplify (+ 0 0) into 0
8.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.353 * [taylor]: Taking taylor expansion of 1 in y
8.353 * [backup-simplify]: Simplify 1 into 1
8.353 * [taylor]: Taking taylor expansion of 0 in y
8.353 * [backup-simplify]: Simplify 0 into 0
8.353 * [backup-simplify]: Simplify 1 into 1
8.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.355 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
8.355 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
8.356 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2))
8.356 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y
8.356 * [taylor]: Taking taylor expansion of 2.0 in y
8.357 * [backup-simplify]: Simplify 2.0 into 2.0
8.357 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.357 * [taylor]: Taking taylor expansion of y in y
8.357 * [backup-simplify]: Simplify 0 into 0
8.357 * [backup-simplify]: Simplify 1 into 1
8.357 * [backup-simplify]: Simplify (* 1 1) into 1
8.357 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
8.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
8.359 * [backup-simplify]: Simplify 0 into 0
8.359 * [backup-simplify]: Simplify 0 into 0
8.359 * [backup-simplify]: Simplify 0 into 0
8.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.361 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.362 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
8.362 * [backup-simplify]: Simplify (+ 0 0) into 0
8.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0
8.363 * [taylor]: Taking taylor expansion of 0 in y
8.363 * [backup-simplify]: Simplify 0 into 0
8.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.365 * [backup-simplify]: Simplify 0 into 0
8.365 * [backup-simplify]: Simplify 0 into 0
8.365 * [backup-simplify]: Simplify 0 into 0
8.365 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
8.365 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
8.366 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2)))
8.366 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0
8.366 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
8.366 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.366 * [taylor]: Taking taylor expansion of x in y
8.366 * [backup-simplify]: Simplify x into x
8.366 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
8.366 * [taylor]: Taking taylor expansion of 4.0 in y
8.366 * [backup-simplify]: Simplify 4.0 into 4.0
8.366 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.366 * [taylor]: Taking taylor expansion of y in y
8.366 * [backup-simplify]: Simplify 0 into 0
8.366 * [backup-simplify]: Simplify 1 into 1
8.366 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
8.366 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.366 * [taylor]: Taking taylor expansion of x in x
8.366 * [backup-simplify]: Simplify 0 into 0
8.366 * [backup-simplify]: Simplify 1 into 1
8.366 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
8.366 * [taylor]: Taking taylor expansion of 4.0 in x
8.366 * [backup-simplify]: Simplify 4.0 into 4.0
8.366 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.366 * [taylor]: Taking taylor expansion of y in x
8.366 * [backup-simplify]: Simplify y into y
8.366 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
8.366 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.366 * [taylor]: Taking taylor expansion of x in x
8.366 * [backup-simplify]: Simplify 0 into 0
8.366 * [backup-simplify]: Simplify 1 into 1
8.366 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
8.367 * [taylor]: Taking taylor expansion of 4.0 in x
8.367 * [backup-simplify]: Simplify 4.0 into 4.0
8.367 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.367 * [taylor]: Taking taylor expansion of y in x
8.367 * [backup-simplify]: Simplify y into y
8.367 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.367 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
8.367 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
8.367 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
8.367 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y
8.367 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
8.367 * [taylor]: Taking taylor expansion of 4.0 in y
8.368 * [backup-simplify]: Simplify 4.0 into 4.0
8.368 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.368 * [taylor]: Taking taylor expansion of y in y
8.368 * [backup-simplify]: Simplify 0 into 0
8.368 * [backup-simplify]: Simplify 1 into 1
8.368 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.368 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
8.369 * [backup-simplify]: Simplify (- 0) into 0
8.369 * [backup-simplify]: Simplify (+ 0 0) into 0
8.369 * [taylor]: Taking taylor expansion of 0 in y
8.369 * [backup-simplify]: Simplify 0 into 0
8.369 * [backup-simplify]: Simplify 0 into 0
8.370 * [backup-simplify]: Simplify (* 1 1) into 1
8.370 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.371 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
8.371 * [backup-simplify]: Simplify (- 0) into 0
8.372 * [backup-simplify]: Simplify (+ 1 0) into 1
8.372 * [taylor]: Taking taylor expansion of 1 in y
8.372 * [backup-simplify]: Simplify 1 into 1
8.372 * [backup-simplify]: Simplify 1 into 1
8.372 * [backup-simplify]: Simplify 0 into 0
8.372 * [backup-simplify]: Simplify (* 1 1) into 1
8.373 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.373 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.374 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.375 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
8.377 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
8.377 * [backup-simplify]: Simplify (- 0) into 0
8.377 * [backup-simplify]: Simplify (+ 0 0) into 0
8.377 * [taylor]: Taking taylor expansion of 0 in y
8.377 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.379 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.379 * [backup-simplify]: Simplify (- 0) into 0
8.379 * [backup-simplify]: Simplify 0 into 0
8.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.381 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
8.383 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
8.383 * [backup-simplify]: Simplify (- 0) into 0
8.383 * [backup-simplify]: Simplify (+ 0 0) into 0
8.383 * [taylor]: Taking taylor expansion of 0 in y
8.383 * [backup-simplify]: Simplify 0 into 0
8.384 * [backup-simplify]: Simplify 0 into 0
8.384 * [backup-simplify]: Simplify 0 into 0
8.384 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
8.385 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
8.385 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
8.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
8.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.385 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.385 * [taylor]: Taking taylor expansion of x in y
8.385 * [backup-simplify]: Simplify x into x
8.385 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.385 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.385 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.385 * [taylor]: Taking taylor expansion of 4.0 in y
8.385 * [backup-simplify]: Simplify 4.0 into 4.0
8.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.385 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.385 * [taylor]: Taking taylor expansion of y in y
8.385 * [backup-simplify]: Simplify 0 into 0
8.385 * [backup-simplify]: Simplify 1 into 1
8.386 * [backup-simplify]: Simplify (* 1 1) into 1
8.386 * [backup-simplify]: Simplify (/ 1 1) into 1
8.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.386 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.386 * [taylor]: Taking taylor expansion of x in x
8.386 * [backup-simplify]: Simplify 0 into 0
8.386 * [backup-simplify]: Simplify 1 into 1
8.387 * [backup-simplify]: Simplify (* 1 1) into 1
8.387 * [backup-simplify]: Simplify (/ 1 1) into 1
8.387 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.387 * [taylor]: Taking taylor expansion of 4.0 in x
8.387 * [backup-simplify]: Simplify 4.0 into 4.0
8.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.387 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.387 * [taylor]: Taking taylor expansion of y in x
8.387 * [backup-simplify]: Simplify y into y
8.388 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.388 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.388 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.388 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.388 * [taylor]: Taking taylor expansion of x in x
8.388 * [backup-simplify]: Simplify 0 into 0
8.388 * [backup-simplify]: Simplify 1 into 1
8.388 * [backup-simplify]: Simplify (* 1 1) into 1
8.389 * [backup-simplify]: Simplify (/ 1 1) into 1
8.389 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.389 * [taylor]: Taking taylor expansion of 4.0 in x
8.389 * [backup-simplify]: Simplify 4.0 into 4.0
8.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.389 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.389 * [taylor]: Taking taylor expansion of y in x
8.389 * [backup-simplify]: Simplify y into y
8.389 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.389 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.390 * [backup-simplify]: Simplify (+ 1 0) into 1
8.390 * [taylor]: Taking taylor expansion of 1 in y
8.390 * [backup-simplify]: Simplify 1 into 1
8.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.392 * [backup-simplify]: Simplify (+ 0 0) into 0
8.392 * [taylor]: Taking taylor expansion of 0 in y
8.392 * [backup-simplify]: Simplify 0 into 0
8.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.394 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
8.394 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
8.395 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
8.395 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
8.395 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.395 * [taylor]: Taking taylor expansion of 4.0 in y
8.395 * [backup-simplify]: Simplify 4.0 into 4.0
8.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.395 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.395 * [taylor]: Taking taylor expansion of y in y
8.395 * [backup-simplify]: Simplify 0 into 0
8.395 * [backup-simplify]: Simplify 1 into 1
8.395 * [backup-simplify]: Simplify (* 1 1) into 1
8.396 * [backup-simplify]: Simplify (/ 1 1) into 1
8.396 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.397 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.397 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.397 * [backup-simplify]: Simplify 1 into 1
8.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.399 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.400 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
8.401 * [backup-simplify]: Simplify (- 0) into 0
8.401 * [backup-simplify]: Simplify (+ 0 0) into 0
8.401 * [taylor]: Taking taylor expansion of 0 in y
8.401 * [backup-simplify]: Simplify 0 into 0
8.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.403 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.404 * [backup-simplify]: Simplify (- 0) into 0
8.404 * [backup-simplify]: Simplify 0 into 0
8.404 * [backup-simplify]: Simplify 0 into 0
8.404 * [backup-simplify]: Simplify 0 into 0
8.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.406 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.408 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
8.408 * [backup-simplify]: Simplify (- 0) into 0
8.409 * [backup-simplify]: Simplify (+ 0 0) into 0
8.409 * [taylor]: Taking taylor expansion of 0 in y
8.409 * [backup-simplify]: Simplify 0 into 0
8.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.412 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
8.412 * [backup-simplify]: Simplify (- 0) into 0
8.412 * [backup-simplify]: Simplify 0 into 0
8.412 * [backup-simplify]: Simplify 0 into 0
8.412 * [backup-simplify]: Simplify 0 into 0
8.413 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
8.414 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
8.414 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
8.414 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
8.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.414 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.414 * [taylor]: Taking taylor expansion of x in y
8.414 * [backup-simplify]: Simplify x into x
8.414 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.414 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.414 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.414 * [taylor]: Taking taylor expansion of 4.0 in y
8.414 * [backup-simplify]: Simplify 4.0 into 4.0
8.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.414 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.414 * [taylor]: Taking taylor expansion of y in y
8.414 * [backup-simplify]: Simplify 0 into 0
8.414 * [backup-simplify]: Simplify 1 into 1
8.415 * [backup-simplify]: Simplify (* 1 1) into 1
8.415 * [backup-simplify]: Simplify (/ 1 1) into 1
8.415 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.415 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.415 * [taylor]: Taking taylor expansion of x in x
8.415 * [backup-simplify]: Simplify 0 into 0
8.415 * [backup-simplify]: Simplify 1 into 1
8.416 * [backup-simplify]: Simplify (* 1 1) into 1
8.416 * [backup-simplify]: Simplify (/ 1 1) into 1
8.416 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.416 * [taylor]: Taking taylor expansion of 4.0 in x
8.416 * [backup-simplify]: Simplify 4.0 into 4.0
8.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.416 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.416 * [taylor]: Taking taylor expansion of y in x
8.416 * [backup-simplify]: Simplify y into y
8.416 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.417 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.417 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
8.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.417 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.417 * [taylor]: Taking taylor expansion of x in x
8.417 * [backup-simplify]: Simplify 0 into 0
8.417 * [backup-simplify]: Simplify 1 into 1
8.417 * [backup-simplify]: Simplify (* 1 1) into 1
8.418 * [backup-simplify]: Simplify (/ 1 1) into 1
8.418 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
8.418 * [taylor]: Taking taylor expansion of 4.0 in x
8.418 * [backup-simplify]: Simplify 4.0 into 4.0
8.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.418 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.418 * [taylor]: Taking taylor expansion of y in x
8.418 * [backup-simplify]: Simplify y into y
8.418 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.418 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.419 * [backup-simplify]: Simplify (+ 1 0) into 1
8.419 * [taylor]: Taking taylor expansion of 1 in y
8.419 * [backup-simplify]: Simplify 1 into 1
8.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.422 * [backup-simplify]: Simplify (+ 0 0) into 0
8.422 * [taylor]: Taking taylor expansion of 0 in y
8.422 * [backup-simplify]: Simplify 0 into 0
8.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.425 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
8.425 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
8.425 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
8.425 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
8.425 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
8.425 * [taylor]: Taking taylor expansion of 4.0 in y
8.425 * [backup-simplify]: Simplify 4.0 into 4.0
8.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.425 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.425 * [taylor]: Taking taylor expansion of y in y
8.425 * [backup-simplify]: Simplify 0 into 0
8.425 * [backup-simplify]: Simplify 1 into 1
8.426 * [backup-simplify]: Simplify (* 1 1) into 1
8.426 * [backup-simplify]: Simplify (/ 1 1) into 1
8.427 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.427 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.428 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.428 * [backup-simplify]: Simplify 1 into 1
8.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.430 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.431 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
8.431 * [backup-simplify]: Simplify (- 0) into 0
8.432 * [backup-simplify]: Simplify (+ 0 0) into 0
8.432 * [taylor]: Taking taylor expansion of 0 in y
8.432 * [backup-simplify]: Simplify 0 into 0
8.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.434 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.434 * [backup-simplify]: Simplify (- 0) into 0
8.434 * [backup-simplify]: Simplify 0 into 0
8.434 * [backup-simplify]: Simplify 0 into 0
8.434 * [backup-simplify]: Simplify 0 into 0
8.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.438 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
8.439 * [backup-simplify]: Simplify (- 0) into 0
8.439 * [backup-simplify]: Simplify (+ 0 0) into 0
8.439 * [taylor]: Taking taylor expansion of 0 in y
8.439 * [backup-simplify]: Simplify 0 into 0
8.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.442 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
8.442 * [backup-simplify]: Simplify (- 0) into 0
8.442 * [backup-simplify]: Simplify 0 into 0
8.442 * [backup-simplify]: Simplify 0 into 0
8.442 * [backup-simplify]: Simplify 0 into 0
8.443 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
8.443 * * * [progress]: simplifying candidates
8.445 * [simplify]: Simplifying:
  (- (log (- (* x x) (* (* y 4.0) y))) (+ (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (log (sqrt (+ (* x x) (* (* y 4.0) y))))))
  (- (log (- (* x x) (* (* y 4.0) y))) (log (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))
  (exp (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))
  (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))))
  (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))
  (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))))
  (cbrt (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))
  (* (* (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))
  (- (- (* x x) (* (* y 4.0) y)))
  (- (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (* x x) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (* (* y 4.0) y) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)))
  (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))))
  (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))))
  (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))))
  (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))))
  (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))))
  (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))))
  (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))))
  (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (+ (* x x) (* (* y 4.0) y)))
  (log (sqrt (+ (* x x) (* (* y 4.0) y))))
  (exp (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (sqrt (cbrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (log (sqrt (+ (* x x) (* (* y 4.0) y))))
  (exp (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (sqrt (cbrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (exp (* x x)) (exp (* (* y 4.0) y)))
  (log (- (* x x) (* (* y 4.0) y)))
  (exp (- (* x x) (* (* y 4.0) y)))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (cbrt (- (* x x) (* (* y 4.0) y)))
  (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3))
  (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))
  (- (* (* y 4.0) y))
  (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))
  (+ (* x x) (* (* y 4.0) y))
  (- (* (* y 4.0) y))
  -1.0
  1
  1
  (* y (sqrt 4.0))
  x
  (* -1 x)
  (* y (sqrt 4.0))
  x
  (* -1 x)
  (- (pow x 2) (* 4.0 (pow y 2)))
  (- (pow x 2) (* 4.0 (pow y 2)))
  (- (pow x 2) (* 4.0 (pow y 2)))
8.450 * * [simplify]: Extracting # 0 : cost  0
8.451 * * [simplify]: Extracting # 1 : cost  0
8.451 * * [simplify]: Extracting # 2 : cost  0
8.451 * * [simplify]: Extracting # 3 : cost  0
8.451 * * [simplify]: Extracting # 4 : cost  0
8.452 * * [simplify]: Extracting # 5 : cost  0
8.452 * * [simplify]: Extracting # 6 : cost  0
8.452 * * [simplify]: Extracting # 7 : cost  0
8.453 * * [simplify]: iteration  0 :  108  enodes  (cost  2118 )
8.500 * * [simplify]: Extracting # 0 : cost  0
8.501 * * [simplify]: Extracting # 1 : cost  0
8.501 * * [simplify]: Extracting # 2 : cost  0
8.502 * * [simplify]: Extracting # 3 : cost  0
8.503 * * [simplify]: iteration  1 :  289  enodes  (cost  1662 )
8.645 * * [simplify]: Extracting # 0 : cost  0
8.646 * * [simplify]: Extracting # 1 : cost  0
8.648 * * [simplify]: Extracting # 2 : cost  0
8.649 * * [simplify]: Extracting # 3 : cost  0
8.650 * * [simplify]: Extracting # 4 : cost  0
8.651 * * [simplify]: Extracting # 5 : cost  0
8.652 * * [simplify]: iteration  2 :  923  enodes  (cost  1450 )
9.400 * * [simplify]: Extracting # 0 : cost  0
9.411 * * [simplify]: Extracting # 1 : cost  0
9.416 * * [simplify]: Extracting # 2 : cost  0
9.420 * * [simplify]: Extracting # 3 : cost  0
9.424 * * [simplify]: Extracting # 4 : cost  0
9.428 * * [simplify]: iteration  3 :  3586  enodes  (cost  1426 )
11.001 * * [simplify]: Extracting # 0 : cost  0
11.015 * * [simplify]: Extracting # 1 : cost  0
11.025 * * [simplify]: Extracting # 2 : cost  0
11.031 * * [simplify]: Extracting # 3 : cost  0
11.037 * * [simplify]: iteration done:  5000  enodes  (cost  1426 )
11.038 * [simplify]: Simplified to:
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))))
  (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))))
  (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))) 3)
  (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))) 3)
  (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y)))))
  (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))))
  (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))) 3)
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))))
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))))
  (- (* (* y 4.0) y) (* x x))
  (- (+ (pow x 2) (* (* y 4.0) y)))
  (/ (pow x 2) (+ (pow x 2) (* (* y 4.0) y)))
  (/ (* (* y 4.0) y) (+ (pow x 2) (* (* y 4.0) y)))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (+ (pow x 2) (* (* y 4.0) y)))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (+ (pow x 2) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (pow x 2) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow (* (* y 4.0) y) 3) (pow x 6)))
  (/ (/ (- (pow x 2) (* 4.0 (pow y 2))) (sqrt (+ (pow (* (* y 4.0) y) 3) (pow x 6)))) (sqrt (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3)))))
  (/ (/ (- (pow x 2) (* 4.0 (pow y 2))) (sqrt (+ (pow (* (* y 4.0) y) 3) (pow x 6)))) (sqrt (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3)))))
  (/ (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3))))
  (/ (- (pow x 2) (* 4.0 (pow y 2))) (* (sqrt (+ (pow (* (* y 4.0) y) 3) (pow x 6))) (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (/ (- (pow x 2) (* 4.0 (pow y 2))) (sqrt (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3))))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (pow x 2) (* 4.0 (pow y 2))) (* (sqrt (+ (pow (* (* y 4.0) y) 3) (pow x 6))) (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (/ (- (pow x 2) (* 4.0 (pow y 2))) (sqrt (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3))))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (+ (* x x) (* (* y 4.0) y)) (+ (pow x 4) (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))
  (pow (sqrt (+ (* x x) (* (* y 4.0) y))) 4)
  (log (sqrt (+ (* x x) (* (* y 4.0) y))))
  (exp (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (pow (sqrt (+ (* x x) (* (* y 4.0) y))) 3)
  (fabs (cbrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (cbrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  1
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (pow (* (* y 4.0) y) 3) (pow x 6)))
  (sqrt (+ (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3))))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (log (sqrt (+ (* x x) (* (* y 4.0) y))))
  (exp (sqrt (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))))
  (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (pow (sqrt (+ (* x x) (* (* y 4.0) y))) 3)
  (fabs (cbrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (cbrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  1
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (pow (* (* y 4.0) y) 3) (pow x 6)))
  (sqrt (+ (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x))) (pow x 4)))
  (sqrt (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3))))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (sqrt (sqrt (+ (* x x) (* (* y 4.0) y))))
  (exp (- (* x x) (* (* y 4.0) y)))
  (log (- (* x x) (* (* y 4.0) y)))
  (exp (- (* x x) (* (* y 4.0) y)))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (cbrt (- (* x x) (* (* y 4.0) y)))
  (pow (- (pow x 2) (* 4.0 (pow y 2))) 3)
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (- (pow x 6) (pow (* (* y 4.0) y) 3))
  (+ (pow x 4) (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))
  (- (* 4.0 (pow y 2)))
  (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3)))
  (+ (* x x) (* (* y 4.0) y))
  (- (* 4.0 (pow y 2)))
  -1.0
  1
  1
  (* y (sqrt 4.0))
  x
  (- x)
  (* y (sqrt 4.0))
  x
  (- x)
  (- (pow x 2) (* 4.0 (pow y 2)))
  (- (pow x 2) (* 4.0 (pow y 2)))
  (- (pow x 2) (* 4.0 (pow y 2)))
11.039 * * * [progress]: adding candidates to table
11.736 * [progress]: [Phase 3 of 3] Extracting.
11.736 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))))> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))>)
11.738 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x)
11.739 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (#<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))))> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))>)
11.806 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))))> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))>)
11.865 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))))> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))>)
11.912 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))))> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))>)
11.960 * * * [regime]: Found split indices: #<option (#s(si 2 83) #s(si 1 118) #s(si 2 122) #s(si 1 189) #s(si 0 255))>
11.961 * [binary-search]: Improving bounds with binary search for (* (* y 4.0) y) and (#<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))))> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))>)
12.094 * [regimes]: Found splitpoints: (#s(sp 2 (* (* y 4.0) y) 1.8839870956276886e-179) #s(sp 1 (* (* y 4.0) y) 2.5951328951665388e+25) #s(sp 2 (* (* y 4.0) y) 5.630971785438847e+28) #s(sp 1 (* (* y 4.0) y) 7.251271519567313e+285) #s(sp 0 (* (* y 4.0) y) +nan.0)) , with alts (#<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))))> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))>)
12.094 * [simplify]: Simplifying:
  (if (<= (* (* y 4.0) y) 1.8839870956276886e-179) 1 (if (<= (* (* y 4.0) y) 2.5951328951665388e+25) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (if (<= (* (* y 4.0) y) 5.630971785438847e+28) 1 (if (<= (* (* y 4.0) y) 7.251271519567313e+285) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) -1.0))))
12.094 * * [simplify]: Extracting # 0 : cost  0
12.094 * * [simplify]: Extracting # 1 : cost  0
12.094 * * [simplify]: Extracting # 2 : cost  0
12.094 * * [simplify]: Extracting # 3 : cost  0
12.094 * * [simplify]: Extracting # 4 : cost  0
12.094 * * [simplify]: Extracting # 5 : cost  0
12.094 * * [simplify]: Extracting # 6 : cost  0
12.094 * * [simplify]: Extracting # 7 : cost  0
12.094 * * [simplify]: Extracting # 8 : cost  0
12.095 * * [simplify]: Extracting # 9 : cost  0
12.095 * * [simplify]: Extracting # 10 : cost  0
12.095 * * [simplify]: Extracting # 11 : cost  0
12.095 * * [simplify]: Extracting # 12 : cost  0
12.095 * * [simplify]: iteration  0 :  24  enodes  (cost  77 )
12.096 * * [simplify]: Extracting # 0 : cost  0
12.096 * * [simplify]: iteration  1 :  29  enodes  (cost  77 )
12.097 * * [simplify]: Extracting # 0 : cost  0
12.097 * * [simplify]: iteration done:  29  enodes  (cost  77 )
12.098 * [simplify]: Simplified to:
  (if (<= (* (* y 4.0) y) 1.8839870956276886e-179) 1 (if (<= (* (* y 4.0) y) 2.5951328951665388e+25) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (if (<= (* (* y 4.0) y) 5.630971785438847e+28) 1 (if (<= (* (* y 4.0) y) 7.251271519567313e+285) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) -1.0))))
13.231 * [regime-testing]: Baseline error score: 31.78776679320416
13.235 * [regime-testing]: Oracle error score: 0.3763326309547233
13.247 * [regime-testing]: End program error score: 12.426403642550127
13.328 * [regime-testing]: Target error score: 31.43320690265297