27.403 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.029 * * * [progress]: [2/2] Setting up program.
0.036 * [progress]: [Phase 2 of 3] Improving.
0.037 * [simplify]: Simplifying:
  (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
0.037 * * [simplify]: iteration 0: 9 enodes
0.040 * * [simplify]: iteration 1: 17 enodes
0.045 * * [simplify]: iteration 2: 34 enodes
0.051 * * [simplify]: iteration 3: 59 enodes
0.061 * * [simplify]: iteration 4: 100 enodes
0.081 * * [simplify]: iteration 5: 143 enodes
0.112 * * [simplify]: iteration 6: 168 enodes
0.162 * * [simplify]: iteration 7: 177 enodes
0.195 * * [simplify]: iteration complete: 177 enodes
0.195 * * [simplify]: Extracting #0: cost 1 inf + 0
0.195 * * [simplify]: Extracting #1: cost 6 inf + 0
0.195 * * [simplify]: Extracting #2: cost 36 inf + 0
0.195 * * [simplify]: Extracting #3: cost 25 inf + 454
0.196 * * [simplify]: Extracting #4: cost 7 inf + 4307
0.198 * * [simplify]: Extracting #5: cost 0 inf + 5928
0.201 * [simplify]: Simplified to:
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
0.202 * * [progress]: iteration 1 / 4
0.202 * * * [progress]: picking best candidate
0.205 * * * * [pick]: Picked  #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))>
0.205 * * * [progress]: localizing error
0.222 * * * [progress]: generating rewritten candidates
0.222 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.262 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.270 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.277 * * * [progress]: generating series expansions
0.277 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.278 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2)))
0.278 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0
0.278 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y
0.278 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
0.278 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.278 * [taylor]: Taking taylor expansion of x in y
0.278 * [backup-simplify]: Simplify x into x
0.278 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.278 * [taylor]: Taking taylor expansion of 4.0 in y
0.278 * [backup-simplify]: Simplify 4.0 into 4.0
0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.278 * [taylor]: Taking taylor expansion of y in y
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y
0.278 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.278 * [taylor]: Taking taylor expansion of 4.0 in y
0.278 * [backup-simplify]: Simplify 4.0 into 4.0
0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.278 * [taylor]: Taking taylor expansion of y in y
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.278 * [taylor]: Taking taylor expansion of x in y
0.278 * [backup-simplify]: Simplify x into x
0.278 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.278 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.278 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.279 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.279 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
0.279 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x
0.279 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.279 * [taylor]: Taking taylor expansion of 4.0 in x
0.279 * [backup-simplify]: Simplify 4.0 into 4.0
0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.279 * [taylor]: Taking taylor expansion of y in x
0.279 * [backup-simplify]: Simplify y into y
0.279 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x
0.279 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.279 * [taylor]: Taking taylor expansion of 4.0 in x
0.279 * [backup-simplify]: Simplify 4.0 into 4.0
0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.279 * [taylor]: Taking taylor expansion of y in x
0.279 * [backup-simplify]: Simplify y into y
0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.279 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.279 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
0.279 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
0.279 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.280 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.280 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2))
0.280 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
0.280 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x
0.280 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.280 * [taylor]: Taking taylor expansion of x in x
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.280 * [taylor]: Taking taylor expansion of 4.0 in x
0.280 * [backup-simplify]: Simplify 4.0 into 4.0
0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.280 * [taylor]: Taking taylor expansion of y in x
0.280 * [backup-simplify]: Simplify y into y
0.280 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x
0.280 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.280 * [taylor]: Taking taylor expansion of 4.0 in x
0.280 * [backup-simplify]: Simplify 4.0 into 4.0
0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.280 * [taylor]: Taking taylor expansion of y in x
0.280 * [backup-simplify]: Simplify y into y
0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.280 * [taylor]: Taking taylor expansion of x in x
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.280 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.280 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
0.281 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
0.281 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.281 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.281 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2))
0.281 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
0.281 * [taylor]: Taking taylor expansion of -1.0 in y
0.281 * [backup-simplify]: Simplify -1.0 into -1.0
0.281 * [backup-simplify]: Simplify -1.0 into -1.0
0.281 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.282 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.282 * [backup-simplify]: Simplify (- 0) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.283 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0
0.283 * [taylor]: Taking taylor expansion of 0 in y
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (* 1 1) into 1
0.284 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.284 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.285 * [backup-simplify]: Simplify (- 0) into 0
0.285 * [backup-simplify]: Simplify (+ 1 0) into 1
0.285 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.286 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.286 * [backup-simplify]: Simplify (* 1 1) into 1
0.286 * [backup-simplify]: Simplify (+ 0 1) into 1
0.287 * [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)))
0.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y
0.287 * [taylor]: Taking taylor expansion of 0.5 in y
0.287 * [backup-simplify]: Simplify 0.5 into 0.5
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.287 * [taylor]: Taking taylor expansion of y in y
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* 1 1) into 1
0.287 * [backup-simplify]: Simplify (/ 1 1) into 1
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.291 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.292 * [backup-simplify]: Simplify (- 0) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.293 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [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
0.295 * [taylor]: Taking taylor expansion of 0 in y
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify -1.0 into -1.0
0.295 * [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)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
0.295 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0
0.295 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y
0.295 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.295 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.295 * [taylor]: Taking taylor expansion of x in y
0.295 * [backup-simplify]: Simplify x into x
0.295 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.295 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.295 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.295 * [taylor]: Taking taylor expansion of 4.0 in y
0.295 * [backup-simplify]: Simplify 4.0 into 4.0
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.295 * [taylor]: Taking taylor expansion of y in y
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y
0.296 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.296 * [taylor]: Taking taylor expansion of 4.0 in y
0.296 * [backup-simplify]: Simplify 4.0 into 4.0
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.296 * [taylor]: Taking taylor expansion of y in y
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.301 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.301 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.301 * [taylor]: Taking taylor expansion of x in y
0.301 * [backup-simplify]: Simplify x into x
0.301 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.302 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.302 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.302 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.304 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
0.304 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.304 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.305 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
0.305 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x
0.305 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.305 * [taylor]: Taking taylor expansion of x in x
0.305 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.306 * [taylor]: Taking taylor expansion of 4.0 in x
0.306 * [backup-simplify]: Simplify 4.0 into 4.0
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.306 * [taylor]: Taking taylor expansion of y in x
0.306 * [backup-simplify]: Simplify y into y
0.307 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.307 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.307 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
0.307 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.307 * [taylor]: Taking taylor expansion of 4.0 in x
0.307 * [backup-simplify]: Simplify 4.0 into 4.0
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.307 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.307 * [taylor]: Taking taylor expansion of y in x
0.307 * [backup-simplify]: Simplify y into y
0.307 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.307 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.307 * [taylor]: Taking taylor expansion of x in x
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (* 1 1) into 1
0.308 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [backup-simplify]: Simplify (+ 1 0) into 1
0.309 * [backup-simplify]: Simplify (+ 0 1) into 1
0.309 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x
0.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.310 * [taylor]: Taking taylor expansion of x in x
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (* 1 1) into 1
0.310 * [backup-simplify]: Simplify (/ 1 1) into 1
0.310 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.310 * [taylor]: Taking taylor expansion of 4.0 in x
0.310 * [backup-simplify]: Simplify 4.0 into 4.0
0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.310 * [taylor]: Taking taylor expansion of y in x
0.311 * [backup-simplify]: Simplify y into y
0.311 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.311 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.311 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
0.311 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.311 * [taylor]: Taking taylor expansion of 4.0 in x
0.311 * [backup-simplify]: Simplify 4.0 into 4.0
0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.311 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.311 * [taylor]: Taking taylor expansion of y in x
0.311 * [backup-simplify]: Simplify y into y
0.311 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.311 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.311 * [taylor]: Taking taylor expansion of x in x
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (* 1 1) into 1
0.312 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [backup-simplify]: Simplify (+ 1 0) into 1
0.313 * [backup-simplify]: Simplify (+ 0 1) into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.314 * [taylor]: Taking taylor expansion of 1 in y
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.319 * [taylor]: Taking taylor expansion of 0 in y
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.321 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.321 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.322 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2)))
0.325 * [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))))
0.325 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
0.325 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
0.325 * [taylor]: Taking taylor expansion of 8.0 in y
0.325 * [backup-simplify]: Simplify 8.0 into 8.0
0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.325 * [taylor]: Taking taylor expansion of y in y
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (* 1 1) into 1
0.326 * [backup-simplify]: Simplify (/ 1 1) into 1
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
0.330 * [backup-simplify]: Simplify (- 0) into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.334 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.334 * [backup-simplify]: Simplify (- 0) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.336 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [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
0.340 * [taylor]: Taking taylor expansion of 0 in y
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [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)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
0.341 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0
0.341 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y
0.341 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.341 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.341 * [taylor]: Taking taylor expansion of x in y
0.341 * [backup-simplify]: Simplify x into x
0.341 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.341 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.341 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.341 * [taylor]: Taking taylor expansion of 4.0 in y
0.341 * [backup-simplify]: Simplify 4.0 into 4.0
0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.341 * [taylor]: Taking taylor expansion of y in y
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (* 1 1) into 1
0.342 * [backup-simplify]: Simplify (/ 1 1) into 1
0.342 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y
0.342 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.342 * [taylor]: Taking taylor expansion of 4.0 in y
0.342 * [backup-simplify]: Simplify 4.0 into 4.0
0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.342 * [taylor]: Taking taylor expansion of y in y
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify (* 1 1) into 1
0.343 * [backup-simplify]: Simplify (/ 1 1) into 1
0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.343 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.343 * [taylor]: Taking taylor expansion of x in y
0.343 * [backup-simplify]: Simplify x into x
0.343 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.343 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.344 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.344 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.345 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
0.346 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.346 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.347 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
0.347 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x
0.347 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.347 * [taylor]: Taking taylor expansion of x in x
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.348 * [backup-simplify]: Simplify (/ 1 1) into 1
0.348 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.348 * [taylor]: Taking taylor expansion of 4.0 in x
0.348 * [backup-simplify]: Simplify 4.0 into 4.0
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.348 * [taylor]: Taking taylor expansion of y in x
0.348 * [backup-simplify]: Simplify y into y
0.348 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.348 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
0.348 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.348 * [taylor]: Taking taylor expansion of 4.0 in x
0.349 * [backup-simplify]: Simplify 4.0 into 4.0
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.349 * [taylor]: Taking taylor expansion of y in x
0.349 * [backup-simplify]: Simplify y into y
0.349 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.349 * [taylor]: Taking taylor expansion of x in x
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (* 1 1) into 1
0.350 * [backup-simplify]: Simplify (/ 1 1) into 1
0.350 * [backup-simplify]: Simplify (+ 1 0) into 1
0.351 * [backup-simplify]: Simplify (+ 0 1) into 1
0.351 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x
0.351 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.351 * [taylor]: Taking taylor expansion of x in x
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (* 1 1) into 1
0.352 * [backup-simplify]: Simplify (/ 1 1) into 1
0.352 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.352 * [taylor]: Taking taylor expansion of 4.0 in x
0.352 * [backup-simplify]: Simplify 4.0 into 4.0
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.352 * [taylor]: Taking taylor expansion of y in x
0.352 * [backup-simplify]: Simplify y into y
0.352 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.353 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
0.353 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.353 * [taylor]: Taking taylor expansion of 4.0 in x
0.353 * [backup-simplify]: Simplify 4.0 into 4.0
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.353 * [taylor]: Taking taylor expansion of y in x
0.353 * [backup-simplify]: Simplify y into y
0.353 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.353 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.353 * [taylor]: Taking taylor expansion of x in x
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.354 * [backup-simplify]: Simplify (+ 1 0) into 1
0.355 * [backup-simplify]: Simplify (+ 0 1) into 1
0.355 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [taylor]: Taking taylor expansion of 1 in y
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.358 * [taylor]: Taking taylor expansion of 0 in y
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.360 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.360 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.360 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2)))
0.362 * [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))))
0.362 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
0.362 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
0.362 * [taylor]: Taking taylor expansion of 8.0 in y
0.362 * [backup-simplify]: Simplify 8.0 into 8.0
0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.362 * [taylor]: Taking taylor expansion of y in y
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (* 1 1) into 1
0.362 * [backup-simplify]: Simplify (/ 1 1) into 1
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
0.365 * [backup-simplify]: Simplify (- 0) into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.367 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.367 * [backup-simplify]: Simplify (- 0) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.368 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.368 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [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
0.371 * [taylor]: Taking taylor expansion of 0 in y
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
0.371 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2)))
0.371 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0
0.371 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.371 * [taylor]: Taking taylor expansion of x in y
0.371 * [backup-simplify]: Simplify x into x
0.371 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.371 * [taylor]: Taking taylor expansion of 4.0 in y
0.371 * [backup-simplify]: Simplify 4.0 into 4.0
0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.371 * [taylor]: Taking taylor expansion of y in y
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.371 * [taylor]: Taking taylor expansion of x in x
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.371 * [taylor]: Taking taylor expansion of 4.0 in x
0.371 * [backup-simplify]: Simplify 4.0 into 4.0
0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.371 * [taylor]: Taking taylor expansion of y in x
0.371 * [backup-simplify]: Simplify y into y
0.371 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.372 * [taylor]: Taking taylor expansion of x in x
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.372 * [taylor]: Taking taylor expansion of 4.0 in x
0.372 * [backup-simplify]: Simplify 4.0 into 4.0
0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.372 * [taylor]: Taking taylor expansion of y in x
0.372 * [backup-simplify]: Simplify y into y
0.372 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.372 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.372 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
0.372 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
0.372 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y
0.372 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.372 * [taylor]: Taking taylor expansion of 4.0 in y
0.372 * [backup-simplify]: Simplify 4.0 into 4.0
0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.372 * [taylor]: Taking taylor expansion of y in y
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.373 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.373 * [backup-simplify]: Simplify (- 0) into 0
0.373 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [taylor]: Taking taylor expansion of 0 in y
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (* 1 1) into 1
0.374 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.374 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.375 * [backup-simplify]: Simplify (- 0) into 0
0.375 * [backup-simplify]: Simplify (+ 1 0) into 1
0.375 * [taylor]: Taking taylor expansion of 1 in y
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify (* 1 1) into 1
0.376 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.376 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.376 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.378 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.378 * [backup-simplify]: Simplify (- 0) into 0
0.378 * [backup-simplify]: Simplify (+ 0 0) into 0
0.378 * [taylor]: Taking taylor expansion of 0 in y
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.379 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.380 * [backup-simplify]: Simplify (- 0) into 0
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.381 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.382 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
0.382 * [backup-simplify]: Simplify (- 0) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [taylor]: Taking taylor expansion of 0 in y
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
0.383 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
0.383 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
0.383 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.383 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.383 * [taylor]: Taking taylor expansion of x in y
0.383 * [backup-simplify]: Simplify x into x
0.383 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.383 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.383 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.384 * [taylor]: Taking taylor expansion of 4.0 in y
0.384 * [backup-simplify]: Simplify 4.0 into 4.0
0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.384 * [taylor]: Taking taylor expansion of y in y
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* 1 1) into 1
0.384 * [backup-simplify]: Simplify (/ 1 1) into 1
0.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.384 * [taylor]: Taking taylor expansion of x in x
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* 1 1) into 1
0.385 * [backup-simplify]: Simplify (/ 1 1) into 1
0.385 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.385 * [taylor]: Taking taylor expansion of 4.0 in x
0.385 * [backup-simplify]: Simplify 4.0 into 4.0
0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.385 * [taylor]: Taking taylor expansion of y in x
0.385 * [backup-simplify]: Simplify y into y
0.385 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.385 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.385 * [taylor]: Taking taylor expansion of x in x
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.386 * [backup-simplify]: Simplify (* 1 1) into 1
0.386 * [backup-simplify]: Simplify (/ 1 1) into 1
0.386 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.386 * [taylor]: Taking taylor expansion of 4.0 in x
0.386 * [backup-simplify]: Simplify 4.0 into 4.0
0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.386 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.386 * [taylor]: Taking taylor expansion of y in x
0.386 * [backup-simplify]: Simplify y into y
0.386 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.387 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.387 * [backup-simplify]: Simplify (+ 1 0) into 1
0.387 * [taylor]: Taking taylor expansion of 1 in y
0.387 * [backup-simplify]: Simplify 1 into 1
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [taylor]: Taking taylor expansion of 0 in y
0.389 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.391 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.391 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.391 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.391 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
0.391 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.392 * [taylor]: Taking taylor expansion of 4.0 in y
0.392 * [backup-simplify]: Simplify 4.0 into 4.0
0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.392 * [taylor]: Taking taylor expansion of y in y
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [backup-simplify]: Simplify (* 1 1) into 1
0.392 * [backup-simplify]: Simplify (/ 1 1) into 1
0.393 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.393 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.394 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.394 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.397 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.397 * [backup-simplify]: Simplify (- 0) into 0
0.398 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [taylor]: Taking taylor expansion of 0 in y
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify (- 0) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.404 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.405 * [backup-simplify]: Simplify (- 0) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.405 * [taylor]: Taking taylor expansion of 0 in y
0.405 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.409 * [backup-simplify]: Simplify (- 0) into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.410 * [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)))
0.410 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
0.411 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
0.411 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.411 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.411 * [taylor]: Taking taylor expansion of x in y
0.411 * [backup-simplify]: Simplify x into x
0.411 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.411 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.411 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.411 * [taylor]: Taking taylor expansion of 4.0 in y
0.411 * [backup-simplify]: Simplify 4.0 into 4.0
0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.411 * [taylor]: Taking taylor expansion of y in y
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (/ 1 1) into 1
0.412 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.412 * [taylor]: Taking taylor expansion of x in x
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (* 1 1) into 1
0.413 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.413 * [taylor]: Taking taylor expansion of 4.0 in x
0.413 * [backup-simplify]: Simplify 4.0 into 4.0
0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.413 * [taylor]: Taking taylor expansion of y in x
0.413 * [backup-simplify]: Simplify y into y
0.413 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.414 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.414 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.414 * [taylor]: Taking taylor expansion of x in x
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.414 * [backup-simplify]: Simplify (* 1 1) into 1
0.415 * [backup-simplify]: Simplify (/ 1 1) into 1
0.415 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.415 * [taylor]: Taking taylor expansion of 4.0 in x
0.415 * [backup-simplify]: Simplify 4.0 into 4.0
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.415 * [taylor]: Taking taylor expansion of y in x
0.415 * [backup-simplify]: Simplify y into y
0.415 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.415 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.416 * [backup-simplify]: Simplify (+ 1 0) into 1
0.416 * [taylor]: Taking taylor expansion of 1 in y
0.416 * [backup-simplify]: Simplify 1 into 1
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.418 * [taylor]: Taking taylor expansion of 0 in y
0.418 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.420 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.421 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.421 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
0.421 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.421 * [taylor]: Taking taylor expansion of 4.0 in y
0.421 * [backup-simplify]: Simplify 4.0 into 4.0
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.421 * [taylor]: Taking taylor expansion of y in y
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (* 1 1) into 1
0.422 * [backup-simplify]: Simplify (/ 1 1) into 1
0.422 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.423 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.423 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.423 * [backup-simplify]: Simplify 1 into 1
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.427 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.427 * [backup-simplify]: Simplify (- 0) into 0
0.428 * [backup-simplify]: Simplify (+ 0 0) into 0
0.428 * [taylor]: Taking taylor expansion of 0 in y
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.430 * [backup-simplify]: Simplify (- 0) into 0
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.433 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.435 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.435 * [backup-simplify]: Simplify (- 0) into 0
0.435 * [backup-simplify]: Simplify (+ 0 0) into 0
0.435 * [taylor]: Taking taylor expansion of 0 in y
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.442 * [backup-simplify]: Simplify (- 0) into 0
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 0 into 0
0.443 * [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)))
0.443 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.443 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (* 4.0 (pow y 2)) (pow x 2))
0.443 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in (x y) around 0
0.443 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y
0.443 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.443 * [taylor]: Taking taylor expansion of 4.0 in y
0.443 * [backup-simplify]: Simplify 4.0 into 4.0
0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.444 * [taylor]: Taking taylor expansion of y in y
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.444 * [taylor]: Taking taylor expansion of x in y
0.444 * [backup-simplify]: Simplify x into x
0.444 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x
0.444 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.444 * [taylor]: Taking taylor expansion of 4.0 in x
0.444 * [backup-simplify]: Simplify 4.0 into 4.0
0.444 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.444 * [taylor]: Taking taylor expansion of y in x
0.444 * [backup-simplify]: Simplify y into y
0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.444 * [taylor]: Taking taylor expansion of x in x
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x
0.444 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.444 * [taylor]: Taking taylor expansion of 4.0 in x
0.444 * [backup-simplify]: Simplify 4.0 into 4.0
0.444 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.444 * [taylor]: Taking taylor expansion of y in x
0.444 * [backup-simplify]: Simplify y into y
0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.444 * [taylor]: Taking taylor expansion of x in x
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.445 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.445 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2))
0.445 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.445 * [taylor]: Taking taylor expansion of 4.0 in y
0.445 * [backup-simplify]: Simplify 4.0 into 4.0
0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.445 * [taylor]: Taking taylor expansion of y in y
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.446 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.446 * [backup-simplify]: Simplify (+ 0 0) into 0
0.446 * [taylor]: Taking taylor expansion of 0 in y
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.448 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.448 * [backup-simplify]: Simplify (* 1 1) into 1
0.449 * [backup-simplify]: Simplify (+ 0 1) into 1
0.449 * [taylor]: Taking taylor expansion of 1 in y
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.450 * [backup-simplify]: Simplify 4.0 into 4.0
0.450 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.452 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.453 * [taylor]: Taking taylor expansion of 0 in y
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.454 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.457 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.459 * [backup-simplify]: Simplify (+ 0 0) into 0
0.459 * [taylor]: Taking taylor expansion of 0 in y
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2))
0.459 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.459 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0
0.459 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y
0.459 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.459 * [taylor]: Taking taylor expansion of 4.0 in y
0.459 * [backup-simplify]: Simplify 4.0 into 4.0
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.460 * [taylor]: Taking taylor expansion of y in y
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [backup-simplify]: Simplify (* 1 1) into 1
0.460 * [backup-simplify]: Simplify (/ 1 1) into 1
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.460 * [taylor]: Taking taylor expansion of x in y
0.461 * [backup-simplify]: Simplify x into x
0.461 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.461 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.461 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
0.461 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.461 * [taylor]: Taking taylor expansion of 4.0 in x
0.461 * [backup-simplify]: Simplify 4.0 into 4.0
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.461 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.461 * [taylor]: Taking taylor expansion of y in x
0.461 * [backup-simplify]: Simplify y into y
0.461 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.461 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.461 * [taylor]: Taking taylor expansion of x in x
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (* 1 1) into 1
0.462 * [backup-simplify]: Simplify (/ 1 1) into 1
0.462 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
0.462 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (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 (/ 1 (pow y 2)) in x
0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.462 * [taylor]: Taking taylor expansion of y in x
0.462 * [backup-simplify]: Simplify y into y
0.462 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.463 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* 1 1) into 1
0.463 * [backup-simplify]: Simplify (/ 1 1) into 1
0.464 * [backup-simplify]: Simplify (+ 0 1) into 1
0.464 * [taylor]: Taking taylor expansion of 1 in y
0.464 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) 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 (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2)))
0.468 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.468 * [taylor]: Taking taylor expansion of 4.0 in y
0.468 * [backup-simplify]: Simplify 4.0 into 4.0
0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.468 * [taylor]: Taking taylor expansion of y in y
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (* 1 1) into 1
0.469 * [backup-simplify]: Simplify (/ 1 1) into 1
0.470 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.470 * [backup-simplify]: Simplify 4.0 into 4.0
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.471 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [taylor]: Taking taylor expansion of 0 in y
0.473 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.478 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [taylor]: Taking taylor expansion of 0 in y
0.480 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2))
0.485 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
0.485 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0
0.485 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y
0.485 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.485 * [taylor]: Taking taylor expansion of 4.0 in y
0.485 * [backup-simplify]: Simplify 4.0 into 4.0
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.485 * [taylor]: Taking taylor expansion of y in y
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.486 * [backup-simplify]: Simplify (/ 1 1) into 1
0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.486 * [taylor]: Taking taylor expansion of x in y
0.486 * [backup-simplify]: Simplify x into x
0.486 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.486 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
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
0.486 * [backup-simplify]: Simplify 4.0 into 4.0
0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.486 * [taylor]: Taking taylor expansion of y in x
0.486 * [backup-simplify]: Simplify y into y
0.486 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.487 * [taylor]: Taking taylor expansion of x in x
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (* 1 1) into 1
0.487 * [backup-simplify]: Simplify (/ 1 1) into 1
0.488 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
0.488 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.488 * [taylor]: Taking taylor expansion of 4.0 in x
0.488 * [backup-simplify]: Simplify 4.0 into 4.0
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.488 * [taylor]: Taking taylor expansion of y in x
0.488 * [backup-simplify]: Simplify y into y
0.488 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.488 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
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
0.488 * [backup-simplify]: Simplify (* 1 1) into 1
0.489 * [backup-simplify]: Simplify (/ 1 1) into 1
0.489 * [backup-simplify]: Simplify (+ 0 1) into 1
0.489 * [taylor]: Taking taylor expansion of 1 in y
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [taylor]: Taking taylor expansion of 0 in y
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.494 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2)))
0.494 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.494 * [taylor]: Taking taylor expansion of 4.0 in y
0.494 * [backup-simplify]: Simplify 4.0 into 4.0
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.494 * [taylor]: Taking taylor expansion of y in y
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 1 into 1
0.495 * [backup-simplify]: Simplify (* 1 1) into 1
0.495 * [backup-simplify]: Simplify (/ 1 1) into 1
0.496 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.496 * [backup-simplify]: Simplify 4.0 into 4.0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (+ 0 0) into 0
0.499 * [taylor]: Taking taylor expansion of 0 in y
0.499 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.504 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [taylor]: Taking taylor expansion of 0 in y
0.506 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.509 * [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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2))
0.510 * * * [progress]: simplifying candidates
0.512 * [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)))
  (+ (* 4.0 (pow y 2)) (pow x 2))
  (+ (* 4.0 (pow y 2)) (pow x 2))
  (+ (* 4.0 (pow y 2)) (pow x 2))
0.513 * * [simplify]: iteration 0: 87 enodes
0.532 * * [simplify]: iteration 1: 246 enodes
0.604 * * [simplify]: iteration 2: 863 enodes
1.156 * * [simplify]: iteration 3: 3828 enodes
2.695 * * [simplify]: iteration complete: 5030 enodes
2.696 * * [simplify]: Extracting #0: cost 55 inf + 0
2.696 * * [simplify]: Extracting #1: cost 382 inf + 2
2.700 * * [simplify]: Extracting #2: cost 1400 inf + 675
2.711 * * [simplify]: Extracting #3: cost 1397 inf + 38271
2.747 * * [simplify]: Extracting #4: cost 884 inf + 169210
2.823 * * [simplify]: Extracting #5: cost 295 inf + 326541
2.933 * * [simplify]: Extracting #6: cost 12 inf + 420275
3.048 * * [simplify]: Extracting #7: cost 0 inf + 425235
3.153 * [simplify]: Simplified to:
  (log (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (log (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (exp (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (* (* (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))) (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (* (cbrt (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))) (cbrt (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))))
  (cbrt (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (* (* (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))) (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (sqrt (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (sqrt (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (- (- (* x x) (* 4.0 (* y y))))
  (- (- (* y (* y 4.0))) (* x x))
  (/ (* x x) (+ (* x x) (* 4.0 (* y y))))
  (/ (* 4.0 (* y y)) (+ (* x x) (* 4.0 (* y y))))
  (* (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y))))) (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y))))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y))))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (* (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y))))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (sqrt (- (* x x) (* 4.0 (* y y))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (/ (/ 1 (cbrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  1
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* x x) (* 4.0 (* y y))))
  (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (/ (/ (- (* x x) (* 4.0 (* y y))) (cbrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (- (* x x) (* 4.0 (* y y)))
  (/ (+ (* x x) (* 4.0 (* y y))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ (+ (* x x) (* 4.0 (* y y))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* (* 4.0 (* y y)) (* (* 4.0 (* y y)) (* 4.0 (* y y)))) (* (* x x) (* (* x x) (* x x)))))
  (/ (- (* x x) (* 4.0 (* y y))) (- (* (* x x) (* x x)) (* (* 4.0 (* y y)) (* 4.0 (* y y)))))
  (* (+ (* x x) (* 4.0 (* y y))) (+ (* (* 4.0 (* y y)) (+ (* x x) (* 4.0 (* y y)))) (* (* x x) (* x x))))
  (* (+ (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  (exp (- (* x x) (* 4.0 (* y y))))
  (log (- (* x x) (* 4.0 (* y y))))
  (exp (- (* x x) (* 4.0 (* y y))))
  (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (cbrt (- (* x x) (* 4.0 (* y y))))
  (* (- (* x x) (* 4.0 (* y y))) (* (- (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (sqrt (- (* x x) (* 4.0 (* y y))))
  (sqrt (- (* x x) (* 4.0 (* y y))))
  (- (* (* x x) (* (* x x) (* x x))) (* (* 4.0 (* y y)) (* (* 4.0 (* y y)) (* 4.0 (* y y)))))
  (+ (* (* 4.0 (* y y)) (+ (* x x) (* 4.0 (* y y)))) (* (* x x) (* x x)))
  (- (* y (* y 4.0)))
  (- (* (* x x) (* x x)) (* (* 4.0 (* y y)) (* 4.0 (* y y))))
  (+ (* x x) (* 4.0 (* y y)))
  (- (* y (* y 4.0)))
  (exp (+ (* x x) (* 4.0 (* y y))))
  (log (+ (* x x) (* 4.0 (* y y))))
  (exp (+ (* x x) (* 4.0 (* y y))))
  (* (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (cbrt (+ (* x x) (* 4.0 (* y y))))
  (* (* (+ (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (sqrt (+ (* x x) (* 4.0 (* y y))))
  (sqrt (+ (* x x) (* 4.0 (* y y))))
  (+ (* (* 4.0 (* y y)) (* (* 4.0 (* y y)) (* 4.0 (* y y)))) (* (* x x) (* (* x x) (* x x))))
  (+ (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* (* x x) (- (* x x) (* 4.0 (* y y)))))
  (- (* (* x x) (* x x)) (* (* 4.0 (* y y)) (* 4.0 (* y y))))
  (- (* x x) (* 4.0 (* y y)))
  -1.0
  1
  1
  (- (* x x) (* 4.0 (* y y)))
  (- (* x x) (* 4.0 (* y y)))
  (- (* x x) (* 4.0 (* y y)))
  (+ (* x x) (* 4.0 (* y y)))
  (+ (* x x) (* 4.0 (* y y)))
  (+ (* x x) (* 4.0 (* y y)))
3.158 * * * [progress]: adding candidates to table
3.496 * * [progress]: iteration 2 / 4
3.496 * * * [progress]: picking best candidate
3.513 * * * * [pick]: Picked  #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))>
3.513 * * * [progress]: localizing error
3.551 * * * [progress]: generating rewritten candidates
3.551 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.609 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
3.621 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
3.634 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
3.682 * * * [progress]: generating series expansions
3.683 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.683 * [backup-simplify]: Simplify (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) into (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2))))
3.683 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0
3.683 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in y
3.683 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y
3.683 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.683 * [taylor]: Taking taylor expansion of 4.0 in y
3.683 * [backup-simplify]: Simplify 4.0 into 4.0
3.683 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.683 * [taylor]: Taking taylor expansion of y in y
3.683 * [backup-simplify]: Simplify 0 into 0
3.683 * [backup-simplify]: Simplify 1 into 1
3.683 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.683 * [taylor]: Taking taylor expansion of x in y
3.684 * [backup-simplify]: Simplify x into x
3.684 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
3.684 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.684 * [taylor]: Taking taylor expansion of x in y
3.684 * [backup-simplify]: Simplify x into x
3.684 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.684 * [taylor]: Taking taylor expansion of 4.0 in y
3.684 * [backup-simplify]: Simplify 4.0 into 4.0
3.684 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.684 * [taylor]: Taking taylor expansion of y in y
3.684 * [backup-simplify]: Simplify 0 into 0
3.684 * [backup-simplify]: Simplify 1 into 1
3.684 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.684 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.684 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.684 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.684 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.684 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in x
3.685 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x
3.685 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.685 * [taylor]: Taking taylor expansion of 4.0 in x
3.685 * [backup-simplify]: Simplify 4.0 into 4.0
3.685 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.685 * [taylor]: Taking taylor expansion of y in x
3.685 * [backup-simplify]: Simplify y into y
3.685 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.685 * [taylor]: Taking taylor expansion of x in x
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [backup-simplify]: Simplify 1 into 1
3.685 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
3.685 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.685 * [taylor]: Taking taylor expansion of x in x
3.685 * [backup-simplify]: Simplify 0 into 0
3.685 * [backup-simplify]: Simplify 1 into 1
3.685 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.685 * [taylor]: Taking taylor expansion of 4.0 in x
3.685 * [backup-simplify]: Simplify 4.0 into 4.0
3.685 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.685 * [taylor]: Taking taylor expansion of y in x
3.685 * [backup-simplify]: Simplify y into y
3.685 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.685 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.686 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2))
3.686 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.686 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.686 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
3.686 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
3.686 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0
3.686 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in x
3.686 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x
3.687 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.687 * [taylor]: Taking taylor expansion of 4.0 in x
3.687 * [backup-simplify]: Simplify 4.0 into 4.0
3.687 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.687 * [taylor]: Taking taylor expansion of y in x
3.687 * [backup-simplify]: Simplify y into y
3.687 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.687 * [taylor]: Taking taylor expansion of x in x
3.687 * [backup-simplify]: Simplify 0 into 0
3.687 * [backup-simplify]: Simplify 1 into 1
3.687 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
3.687 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.687 * [taylor]: Taking taylor expansion of x in x
3.687 * [backup-simplify]: Simplify 0 into 0
3.687 * [backup-simplify]: Simplify 1 into 1
3.687 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.687 * [taylor]: Taking taylor expansion of 4.0 in x
3.687 * [backup-simplify]: Simplify 4.0 into 4.0
3.687 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.687 * [taylor]: Taking taylor expansion of y in x
3.687 * [backup-simplify]: Simplify y into y
3.687 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.687 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.687 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2))
3.687 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.688 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.688 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
3.688 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
3.688 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0
3.688 * [taylor]: Taking taylor expansion of -1.0 in y
3.688 * [backup-simplify]: Simplify -1.0 into -1.0
3.688 * [backup-simplify]: Simplify -1.0 into -1.0
3.689 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.690 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.690 * [backup-simplify]: Simplify (+ 0 0) into 0
3.690 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.691 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.691 * [backup-simplify]: Simplify (- 0) into 0
3.691 * [backup-simplify]: Simplify (+ 0 0) into 0
3.692 * [backup-simplify]: Simplify (- (/ 0 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 0 (- (* 4.0 (pow y 2))))))) into 0
3.692 * [taylor]: Taking taylor expansion of 0 in y
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.693 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.694 * [backup-simplify]: Simplify (* 1 1) into 1
3.694 * [backup-simplify]: Simplify (+ 0 1) into 1
3.694 * [backup-simplify]: Simplify (* 1 1) into 1
3.695 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.696 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.696 * [backup-simplify]: Simplify (- 0) into 0
3.697 * [backup-simplify]: Simplify (+ 1 0) into 1
3.697 * [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))))
3.697 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow y 2)))) in y
3.697 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y
3.698 * [taylor]: Taking taylor expansion of 0.5 in y
3.698 * [backup-simplify]: Simplify 0.5 into 0.5
3.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.698 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.698 * [taylor]: Taking taylor expansion of y in y
3.698 * [backup-simplify]: Simplify 0 into 0
3.698 * [backup-simplify]: Simplify 1 into 1
3.698 * [backup-simplify]: Simplify (* 1 1) into 1
3.698 * [backup-simplify]: Simplify (/ 1 1) into 1
3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.703 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
3.703 * [backup-simplify]: Simplify (- 0) into 0
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [backup-simplify]: Simplify 0 into 0
3.703 * [backup-simplify]: Simplify 0 into 0
3.704 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.706 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.707 * [backup-simplify]: Simplify (+ 0 0) into 0
3.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.709 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.710 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.710 * [backup-simplify]: Simplify (- 0) into 0
3.711 * [backup-simplify]: Simplify (+ 0 0) into 0
3.712 * [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
3.712 * [taylor]: Taking taylor expansion of 0 in y
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify -1.0 into -1.0
3.713 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
3.713 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
3.713 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
3.713 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y
3.713 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.713 * [taylor]: Taking taylor expansion of 4.0 in y
3.713 * [backup-simplify]: Simplify 4.0 into 4.0
3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.713 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.713 * [taylor]: Taking taylor expansion of y in y
3.713 * [backup-simplify]: Simplify 0 into 0
3.713 * [backup-simplify]: Simplify 1 into 1
3.713 * [backup-simplify]: Simplify (* 1 1) into 1
3.714 * [backup-simplify]: Simplify (/ 1 1) into 1
3.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.714 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.714 * [taylor]: Taking taylor expansion of x in y
3.714 * [backup-simplify]: Simplify x into x
3.714 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.714 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.714 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.714 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.714 * [taylor]: Taking taylor expansion of x in y
3.714 * [backup-simplify]: Simplify x into x
3.714 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.714 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.714 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.714 * [taylor]: Taking taylor expansion of 4.0 in y
3.715 * [backup-simplify]: Simplify 4.0 into 4.0
3.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.715 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.715 * [taylor]: Taking taylor expansion of y in y
3.715 * [backup-simplify]: Simplify 0 into 0
3.715 * [backup-simplify]: Simplify 1 into 1
3.715 * [backup-simplify]: Simplify (* 1 1) into 1
3.715 * [backup-simplify]: Simplify (/ 1 1) into 1
3.716 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.716 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
3.717 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.717 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.718 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
3.719 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0
3.719 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.719 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.719 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.719 * [taylor]: Taking taylor expansion of 4.0 in x
3.719 * [backup-simplify]: Simplify 4.0 into 4.0
3.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.719 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.719 * [taylor]: Taking taylor expansion of y in x
3.719 * [backup-simplify]: Simplify y into y
3.719 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.719 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.719 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.719 * [taylor]: Taking taylor expansion of x in x
3.720 * [backup-simplify]: Simplify 0 into 0
3.720 * [backup-simplify]: Simplify 1 into 1
3.720 * [backup-simplify]: Simplify (* 1 1) into 1
3.720 * [backup-simplify]: Simplify (/ 1 1) into 1
3.720 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.720 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.720 * [taylor]: Taking taylor expansion of x in x
3.720 * [backup-simplify]: Simplify 0 into 0
3.720 * [backup-simplify]: Simplify 1 into 1
3.721 * [backup-simplify]: Simplify (* 1 1) into 1
3.721 * [backup-simplify]: Simplify (/ 1 1) into 1
3.721 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.721 * [taylor]: Taking taylor expansion of 4.0 in x
3.721 * [backup-simplify]: Simplify 4.0 into 4.0
3.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.721 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.721 * [taylor]: Taking taylor expansion of y in x
3.721 * [backup-simplify]: Simplify y into y
3.722 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.722 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.722 * [backup-simplify]: Simplify (+ 0 1) into 1
3.723 * [backup-simplify]: Simplify (+ 1 0) into 1
3.723 * [backup-simplify]: Simplify (/ 1 1) into 1
3.723 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.723 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.723 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.723 * [taylor]: Taking taylor expansion of 4.0 in x
3.723 * [backup-simplify]: Simplify 4.0 into 4.0
3.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.723 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.723 * [taylor]: Taking taylor expansion of y in x
3.723 * [backup-simplify]: Simplify y into y
3.724 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.724 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.724 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.724 * [taylor]: Taking taylor expansion of x in x
3.724 * [backup-simplify]: Simplify 0 into 0
3.724 * [backup-simplify]: Simplify 1 into 1
3.724 * [backup-simplify]: Simplify (* 1 1) into 1
3.725 * [backup-simplify]: Simplify (/ 1 1) into 1
3.725 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.725 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.725 * [taylor]: Taking taylor expansion of x in x
3.725 * [backup-simplify]: Simplify 0 into 0
3.725 * [backup-simplify]: Simplify 1 into 1
3.725 * [backup-simplify]: Simplify (* 1 1) into 1
3.725 * [backup-simplify]: Simplify (/ 1 1) into 1
3.725 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.726 * [taylor]: Taking taylor expansion of 4.0 in x
3.726 * [backup-simplify]: Simplify 4.0 into 4.0
3.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.726 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.726 * [taylor]: Taking taylor expansion of y in x
3.726 * [backup-simplify]: Simplify y into y
3.726 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.726 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.726 * [backup-simplify]: Simplify (+ 0 1) into 1
3.727 * [backup-simplify]: Simplify (+ 1 0) into 1
3.727 * [backup-simplify]: Simplify (/ 1 1) into 1
3.727 * [taylor]: Taking taylor expansion of 1 in y
3.727 * [backup-simplify]: Simplify 1 into 1
3.727 * [backup-simplify]: Simplify 1 into 1
3.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.729 * [backup-simplify]: Simplify (+ 0 0) into 0
3.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.731 * [backup-simplify]: Simplify (+ 0 0) into 0
3.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.732 * [taylor]: Taking taylor expansion of 0 in y
3.732 * [backup-simplify]: Simplify 0 into 0
3.732 * [backup-simplify]: Simplify 0 into 0
3.732 * [backup-simplify]: Simplify 0 into 0
3.732 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.734 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2)))
3.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.736 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.736 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.737 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
3.741 * [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)))
3.741 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
3.741 * [taylor]: Taking taylor expansion of 8.0 in y
3.741 * [backup-simplify]: Simplify 8.0 into 8.0
3.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.741 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.741 * [taylor]: Taking taylor expansion of y in y
3.741 * [backup-simplify]: Simplify 0 into 0
3.741 * [backup-simplify]: Simplify 1 into 1
3.742 * [backup-simplify]: Simplify (* 1 1) into 1
3.742 * [backup-simplify]: Simplify (/ 1 1) into 1
3.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.746 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
3.746 * [backup-simplify]: Simplify 0 into 0
3.746 * [backup-simplify]: Simplify 0 into 0
3.747 * [backup-simplify]: Simplify 0 into 0
3.747 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.748 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.750 * [backup-simplify]: Simplify (+ 0 0) into 0
3.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.752 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.753 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.754 * [backup-simplify]: Simplify (- 0) into 0
3.754 * [backup-simplify]: Simplify (+ 0 0) into 0
3.756 * [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
3.756 * [taylor]: Taking taylor expansion of 0 in y
3.756 * [backup-simplify]: Simplify 0 into 0
3.756 * [backup-simplify]: Simplify 0 into 0
3.756 * [backup-simplify]: Simplify 1 into 1
3.757 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
3.757 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
3.757 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
3.757 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y
3.757 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.757 * [taylor]: Taking taylor expansion of 4.0 in y
3.757 * [backup-simplify]: Simplify 4.0 into 4.0
3.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.757 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.757 * [taylor]: Taking taylor expansion of y in y
3.757 * [backup-simplify]: Simplify 0 into 0
3.757 * [backup-simplify]: Simplify 1 into 1
3.758 * [backup-simplify]: Simplify (* 1 1) into 1
3.758 * [backup-simplify]: Simplify (/ 1 1) into 1
3.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.758 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.758 * [taylor]: Taking taylor expansion of x in y
3.758 * [backup-simplify]: Simplify x into x
3.758 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.759 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.759 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.759 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.759 * [taylor]: Taking taylor expansion of x in y
3.759 * [backup-simplify]: Simplify x into x
3.759 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.759 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.759 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.759 * [taylor]: Taking taylor expansion of 4.0 in y
3.759 * [backup-simplify]: Simplify 4.0 into 4.0
3.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.759 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.759 * [taylor]: Taking taylor expansion of y in y
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify 1 into 1
3.759 * [backup-simplify]: Simplify (* 1 1) into 1
3.760 * [backup-simplify]: Simplify (/ 1 1) into 1
3.760 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.761 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
3.761 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.762 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.762 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
3.763 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0
3.763 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.763 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.763 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.763 * [taylor]: Taking taylor expansion of 4.0 in x
3.763 * [backup-simplify]: Simplify 4.0 into 4.0
3.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.763 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.763 * [taylor]: Taking taylor expansion of y in x
3.763 * [backup-simplify]: Simplify y into y
3.764 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.764 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.764 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.764 * [taylor]: Taking taylor expansion of x in x
3.764 * [backup-simplify]: Simplify 0 into 0
3.764 * [backup-simplify]: Simplify 1 into 1
3.764 * [backup-simplify]: Simplify (* 1 1) into 1
3.765 * [backup-simplify]: Simplify (/ 1 1) into 1
3.765 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.765 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.765 * [taylor]: Taking taylor expansion of x in x
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 1 into 1
3.765 * [backup-simplify]: Simplify (* 1 1) into 1
3.766 * [backup-simplify]: Simplify (/ 1 1) into 1
3.766 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.766 * [taylor]: Taking taylor expansion of 4.0 in x
3.766 * [backup-simplify]: Simplify 4.0 into 4.0
3.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.766 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.766 * [taylor]: Taking taylor expansion of y in x
3.766 * [backup-simplify]: Simplify y into y
3.766 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.766 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.766 * [backup-simplify]: Simplify (+ 0 1) into 1
3.767 * [backup-simplify]: Simplify (+ 1 0) into 1
3.767 * [backup-simplify]: Simplify (/ 1 1) into 1
3.767 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.767 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.767 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.767 * [taylor]: Taking taylor expansion of 4.0 in x
3.767 * [backup-simplify]: Simplify 4.0 into 4.0
3.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.768 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.768 * [taylor]: Taking taylor expansion of y in x
3.768 * [backup-simplify]: Simplify y into y
3.768 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.768 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.768 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.768 * [taylor]: Taking taylor expansion of x in x
3.768 * [backup-simplify]: Simplify 0 into 0
3.768 * [backup-simplify]: Simplify 1 into 1
3.768 * [backup-simplify]: Simplify (* 1 1) into 1
3.769 * [backup-simplify]: Simplify (/ 1 1) into 1
3.769 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.769 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.769 * [taylor]: Taking taylor expansion of x in x
3.769 * [backup-simplify]: Simplify 0 into 0
3.769 * [backup-simplify]: Simplify 1 into 1
3.769 * [backup-simplify]: Simplify (* 1 1) into 1
3.770 * [backup-simplify]: Simplify (/ 1 1) into 1
3.770 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.770 * [taylor]: Taking taylor expansion of 4.0 in x
3.770 * [backup-simplify]: Simplify 4.0 into 4.0
3.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.770 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.770 * [taylor]: Taking taylor expansion of y in x
3.770 * [backup-simplify]: Simplify y into y
3.770 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.770 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.770 * [backup-simplify]: Simplify (+ 0 1) into 1
3.771 * [backup-simplify]: Simplify (+ 1 0) into 1
3.771 * [backup-simplify]: Simplify (/ 1 1) into 1
3.771 * [taylor]: Taking taylor expansion of 1 in y
3.771 * [backup-simplify]: Simplify 1 into 1
3.771 * [backup-simplify]: Simplify 1 into 1
3.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.773 * [backup-simplify]: Simplify (+ 0 0) into 0
3.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.775 * [backup-simplify]: Simplify (+ 0 0) into 0
3.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.776 * [taylor]: Taking taylor expansion of 0 in y
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.778 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2)))
3.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.780 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.780 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.781 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
3.782 * [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)))
3.782 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
3.782 * [taylor]: Taking taylor expansion of 8.0 in y
3.782 * [backup-simplify]: Simplify 8.0 into 8.0
3.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.782 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.782 * [taylor]: Taking taylor expansion of y in y
3.782 * [backup-simplify]: Simplify 0 into 0
3.782 * [backup-simplify]: Simplify 1 into 1
3.782 * [backup-simplify]: Simplify (* 1 1) into 1
3.783 * [backup-simplify]: Simplify (/ 1 1) into 1
3.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.786 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.787 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.788 * [backup-simplify]: Simplify (+ 0 0) into 0
3.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.789 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.790 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.790 * [backup-simplify]: Simplify (- 0) into 0
3.790 * [backup-simplify]: Simplify (+ 0 0) into 0
3.791 * [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
3.791 * [taylor]: Taking taylor expansion of 0 in y
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 1 into 1
3.792 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
3.792 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2)))
3.792 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0
3.792 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
3.792 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.792 * [taylor]: Taking taylor expansion of x in y
3.792 * [backup-simplify]: Simplify x into x
3.792 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.792 * [taylor]: Taking taylor expansion of 4.0 in y
3.792 * [backup-simplify]: Simplify 4.0 into 4.0
3.792 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.792 * [taylor]: Taking taylor expansion of y in y
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 1 into 1
3.792 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
3.792 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.792 * [taylor]: Taking taylor expansion of x in x
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 1 into 1
3.792 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.792 * [taylor]: Taking taylor expansion of 4.0 in x
3.792 * [backup-simplify]: Simplify 4.0 into 4.0
3.792 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.792 * [taylor]: Taking taylor expansion of y in x
3.792 * [backup-simplify]: Simplify y into y
3.792 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
3.792 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.792 * [taylor]: Taking taylor expansion of x in x
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 1 into 1
3.792 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.792 * [taylor]: Taking taylor expansion of 4.0 in x
3.792 * [backup-simplify]: Simplify 4.0 into 4.0
3.792 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.792 * [taylor]: Taking taylor expansion of y in x
3.792 * [backup-simplify]: Simplify y into y
3.792 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.792 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.793 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
3.793 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
3.793 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y
3.793 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.793 * [taylor]: Taking taylor expansion of 4.0 in y
3.793 * [backup-simplify]: Simplify 4.0 into 4.0
3.793 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.793 * [taylor]: Taking taylor expansion of y in y
3.793 * [backup-simplify]: Simplify 0 into 0
3.793 * [backup-simplify]: Simplify 1 into 1
3.793 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.793 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.794 * [backup-simplify]: Simplify (- 0) into 0
3.794 * [backup-simplify]: Simplify (+ 0 0) into 0
3.794 * [taylor]: Taking taylor expansion of 0 in y
3.794 * [backup-simplify]: Simplify 0 into 0
3.794 * [backup-simplify]: Simplify 0 into 0
3.794 * [backup-simplify]: Simplify (* 1 1) into 1
3.794 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.795 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.795 * [backup-simplify]: Simplify (- 0) into 0
3.795 * [backup-simplify]: Simplify (+ 1 0) into 1
3.796 * [taylor]: Taking taylor expansion of 1 in y
3.796 * [backup-simplify]: Simplify 1 into 1
3.796 * [backup-simplify]: Simplify 1 into 1
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify (* 1 1) into 1
3.796 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.796 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.797 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.797 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.798 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.799 * [backup-simplify]: Simplify (- 0) into 0
3.799 * [backup-simplify]: Simplify (+ 0 0) into 0
3.799 * [taylor]: Taking taylor expansion of 0 in y
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.800 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.800 * [backup-simplify]: Simplify (- 0) into 0
3.800 * [backup-simplify]: Simplify 0 into 0
3.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.801 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.802 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
3.803 * [backup-simplify]: Simplify (- 0) into 0
3.803 * [backup-simplify]: Simplify (+ 0 0) into 0
3.803 * [taylor]: Taking taylor expansion of 0 in y
3.803 * [backup-simplify]: Simplify 0 into 0
3.803 * [backup-simplify]: Simplify 0 into 0
3.803 * [backup-simplify]: Simplify 0 into 0
3.803 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
3.804 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
3.804 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
3.804 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.804 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.804 * [taylor]: Taking taylor expansion of x in y
3.804 * [backup-simplify]: Simplify x into x
3.804 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.804 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.804 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.804 * [taylor]: Taking taylor expansion of 4.0 in y
3.804 * [backup-simplify]: Simplify 4.0 into 4.0
3.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.804 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.804 * [taylor]: Taking taylor expansion of y in y
3.804 * [backup-simplify]: Simplify 0 into 0
3.804 * [backup-simplify]: Simplify 1 into 1
3.804 * [backup-simplify]: Simplify (* 1 1) into 1
3.804 * [backup-simplify]: Simplify (/ 1 1) into 1
3.804 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.804 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.804 * [taylor]: Taking taylor expansion of x in x
3.804 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 1 into 1
3.805 * [backup-simplify]: Simplify (* 1 1) into 1
3.805 * [backup-simplify]: Simplify (/ 1 1) into 1
3.805 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.805 * [taylor]: Taking taylor expansion of 4.0 in x
3.805 * [backup-simplify]: Simplify 4.0 into 4.0
3.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.805 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.805 * [taylor]: Taking taylor expansion of y in x
3.805 * [backup-simplify]: Simplify y into y
3.805 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.805 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.805 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.805 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.805 * [taylor]: Taking taylor expansion of x in x
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 1 into 1
3.806 * [backup-simplify]: Simplify (* 1 1) into 1
3.806 * [backup-simplify]: Simplify (/ 1 1) into 1
3.806 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.806 * [taylor]: Taking taylor expansion of 4.0 in x
3.806 * [backup-simplify]: Simplify 4.0 into 4.0
3.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.806 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.806 * [taylor]: Taking taylor expansion of y in x
3.806 * [backup-simplify]: Simplify y into y
3.806 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.806 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.806 * [backup-simplify]: Simplify (+ 1 0) into 1
3.806 * [taylor]: Taking taylor expansion of 1 in y
3.806 * [backup-simplify]: Simplify 1 into 1
3.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.807 * [backup-simplify]: Simplify (+ 0 0) into 0
3.808 * [taylor]: Taking taylor expansion of 0 in y
3.808 * [backup-simplify]: Simplify 0 into 0
3.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.809 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.809 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.809 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
3.809 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
3.809 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.809 * [taylor]: Taking taylor expansion of 4.0 in y
3.809 * [backup-simplify]: Simplify 4.0 into 4.0
3.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.809 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.809 * [taylor]: Taking taylor expansion of y in y
3.809 * [backup-simplify]: Simplify 0 into 0
3.809 * [backup-simplify]: Simplify 1 into 1
3.809 * [backup-simplify]: Simplify (* 1 1) into 1
3.810 * [backup-simplify]: Simplify (/ 1 1) into 1
3.810 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.810 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.810 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.811 * [backup-simplify]: Simplify 1 into 1
3.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.812 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.812 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.813 * [backup-simplify]: Simplify (- 0) into 0
3.813 * [backup-simplify]: Simplify (+ 0 0) into 0
3.813 * [taylor]: Taking taylor expansion of 0 in y
3.813 * [backup-simplify]: Simplify 0 into 0
3.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.814 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.815 * [backup-simplify]: Simplify (- 0) into 0
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.816 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.818 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
3.818 * [backup-simplify]: Simplify (- 0) into 0
3.819 * [backup-simplify]: Simplify (+ 0 0) into 0
3.819 * [taylor]: Taking taylor expansion of 0 in y
3.819 * [backup-simplify]: Simplify 0 into 0
3.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.822 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
3.822 * [backup-simplify]: Simplify (- 0) into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [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)))
3.824 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
3.824 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
3.824 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.824 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.824 * [taylor]: Taking taylor expansion of x in y
3.824 * [backup-simplify]: Simplify x into x
3.824 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.824 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.824 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.824 * [taylor]: Taking taylor expansion of 4.0 in y
3.824 * [backup-simplify]: Simplify 4.0 into 4.0
3.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.824 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.824 * [taylor]: Taking taylor expansion of y in y
3.824 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 1 into 1
3.825 * [backup-simplify]: Simplify (* 1 1) into 1
3.825 * [backup-simplify]: Simplify (/ 1 1) into 1
3.825 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.825 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.825 * [taylor]: Taking taylor expansion of x in x
3.825 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 1 into 1
3.826 * [backup-simplify]: Simplify (* 1 1) into 1
3.826 * [backup-simplify]: Simplify (/ 1 1) into 1
3.826 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.826 * [taylor]: Taking taylor expansion of 4.0 in x
3.826 * [backup-simplify]: Simplify 4.0 into 4.0
3.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.826 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.826 * [taylor]: Taking taylor expansion of y in x
3.827 * [backup-simplify]: Simplify y into y
3.827 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.827 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.827 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.827 * [taylor]: Taking taylor expansion of x in x
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify (* 1 1) into 1
3.828 * [backup-simplify]: Simplify (/ 1 1) into 1
3.828 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.828 * [taylor]: Taking taylor expansion of 4.0 in x
3.828 * [backup-simplify]: Simplify 4.0 into 4.0
3.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.828 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.828 * [taylor]: Taking taylor expansion of y in x
3.828 * [backup-simplify]: Simplify y into y
3.828 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.828 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.829 * [backup-simplify]: Simplify (+ 1 0) into 1
3.829 * [taylor]: Taking taylor expansion of 1 in y
3.829 * [backup-simplify]: Simplify 1 into 1
3.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (+ 0 0) into 0
3.831 * [taylor]: Taking taylor expansion of 0 in y
3.831 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.833 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.833 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.833 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
3.833 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
3.833 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.833 * [taylor]: Taking taylor expansion of 4.0 in y
3.833 * [backup-simplify]: Simplify 4.0 into 4.0
3.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.834 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.834 * [taylor]: Taking taylor expansion of y in y
3.834 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify 1 into 1
3.834 * [backup-simplify]: Simplify (* 1 1) into 1
3.834 * [backup-simplify]: Simplify (/ 1 1) into 1
3.835 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.835 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.836 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.836 * [backup-simplify]: Simplify 1 into 1
3.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.838 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.839 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.839 * [backup-simplify]: Simplify (- 0) into 0
3.840 * [backup-simplify]: Simplify (+ 0 0) into 0
3.840 * [taylor]: Taking taylor expansion of 0 in y
3.840 * [backup-simplify]: Simplify 0 into 0
3.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.842 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.842 * [backup-simplify]: Simplify (- 0) into 0
3.842 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify 0 into 0
3.843 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.845 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.847 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
3.847 * [backup-simplify]: Simplify (- 0) into 0
3.848 * [backup-simplify]: Simplify (+ 0 0) into 0
3.848 * [taylor]: Taking taylor expansion of 0 in y
3.848 * [backup-simplify]: Simplify 0 into 0
3.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.850 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
3.851 * [backup-simplify]: Simplify (- 0) into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.852 * [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)))
3.852 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
3.852 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (* 4.0 (pow y 2)) (pow x 2))
3.852 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in (x y) around 0
3.852 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y
3.852 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.852 * [taylor]: Taking taylor expansion of 4.0 in y
3.852 * [backup-simplify]: Simplify 4.0 into 4.0
3.853 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.853 * [taylor]: Taking taylor expansion of y in y
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 1 into 1
3.853 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.853 * [taylor]: Taking taylor expansion of x in y
3.853 * [backup-simplify]: Simplify x into x
3.853 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x
3.853 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.853 * [taylor]: Taking taylor expansion of 4.0 in x
3.853 * [backup-simplify]: Simplify 4.0 into 4.0
3.853 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.853 * [taylor]: Taking taylor expansion of y in x
3.853 * [backup-simplify]: Simplify y into y
3.853 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.853 * [taylor]: Taking taylor expansion of x in x
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 1 into 1
3.853 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x
3.853 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.853 * [taylor]: Taking taylor expansion of 4.0 in x
3.853 * [backup-simplify]: Simplify 4.0 into 4.0
3.853 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.853 * [taylor]: Taking taylor expansion of y in x
3.853 * [backup-simplify]: Simplify y into y
3.853 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.853 * [taylor]: Taking taylor expansion of x in x
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 1 into 1
3.853 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.854 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.854 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2))
3.854 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.854 * [taylor]: Taking taylor expansion of 4.0 in y
3.854 * [backup-simplify]: Simplify 4.0 into 4.0
3.854 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.854 * [taylor]: Taking taylor expansion of y in y
3.854 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify 1 into 1
3.854 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.855 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.855 * [backup-simplify]: Simplify (+ 0 0) into 0
3.855 * [taylor]: Taking taylor expansion of 0 in y
3.855 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify 0 into 0
3.856 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.857 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.857 * [backup-simplify]: Simplify (* 1 1) into 1
3.858 * [backup-simplify]: Simplify (+ 0 1) into 1
3.858 * [taylor]: Taking taylor expansion of 1 in y
3.858 * [backup-simplify]: Simplify 1 into 1
3.858 * [backup-simplify]: Simplify 1 into 1
3.858 * [backup-simplify]: Simplify 0 into 0
3.858 * [backup-simplify]: Simplify (* 1 1) into 1
3.859 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.859 * [backup-simplify]: Simplify 4.0 into 4.0
3.860 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.861 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.862 * [backup-simplify]: Simplify (+ 0 0) into 0
3.862 * [taylor]: Taking taylor expansion of 0 in y
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify 0 into 0
3.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.864 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.864 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.866 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
3.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.867 * [taylor]: Taking taylor expansion of 0 in y
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2))
3.867 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
3.867 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0
3.867 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y
3.867 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.867 * [taylor]: Taking taylor expansion of 4.0 in y
3.867 * [backup-simplify]: Simplify 4.0 into 4.0
3.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.867 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.867 * [taylor]: Taking taylor expansion of y in y
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 1 into 1
3.868 * [backup-simplify]: Simplify (* 1 1) into 1
3.868 * [backup-simplify]: Simplify (/ 1 1) into 1
3.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.868 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.868 * [taylor]: Taking taylor expansion of x in y
3.868 * [backup-simplify]: Simplify x into x
3.868 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.868 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.868 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.868 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.868 * [taylor]: Taking taylor expansion of 4.0 in x
3.868 * [backup-simplify]: Simplify 4.0 into 4.0
3.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.868 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.868 * [taylor]: Taking taylor expansion of y in x
3.868 * [backup-simplify]: Simplify y into y
3.868 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.868 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.868 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.868 * [taylor]: Taking taylor expansion of x in x
3.868 * [backup-simplify]: Simplify 0 into 0
3.869 * [backup-simplify]: Simplify 1 into 1
3.869 * [backup-simplify]: Simplify (* 1 1) into 1
3.869 * [backup-simplify]: Simplify (/ 1 1) into 1
3.869 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.869 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.869 * [taylor]: Taking taylor expansion of 4.0 in x
3.869 * [backup-simplify]: Simplify 4.0 into 4.0
3.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.869 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.869 * [taylor]: Taking taylor expansion of y in x
3.869 * [backup-simplify]: Simplify y into y
3.869 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.869 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.869 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.869 * [taylor]: Taking taylor expansion of x in x
3.869 * [backup-simplify]: Simplify 0 into 0
3.869 * [backup-simplify]: Simplify 1 into 1
3.870 * [backup-simplify]: Simplify (* 1 1) into 1
3.870 * [backup-simplify]: Simplify (/ 1 1) into 1
3.870 * [backup-simplify]: Simplify (+ 0 1) into 1
3.870 * [taylor]: Taking taylor expansion of 1 in y
3.870 * [backup-simplify]: Simplify 1 into 1
3.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.873 * [backup-simplify]: Simplify (+ 0 0) into 0
3.873 * [taylor]: Taking taylor expansion of 0 in y
3.873 * [backup-simplify]: Simplify 0 into 0
3.873 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.874 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2)))
3.874 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.874 * [taylor]: Taking taylor expansion of 4.0 in y
3.874 * [backup-simplify]: Simplify 4.0 into 4.0
3.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.874 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.874 * [taylor]: Taking taylor expansion of y in y
3.874 * [backup-simplify]: Simplify 0 into 0
3.874 * [backup-simplify]: Simplify 1 into 1
3.875 * [backup-simplify]: Simplify (* 1 1) into 1
3.875 * [backup-simplify]: Simplify (/ 1 1) into 1
3.875 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.875 * [backup-simplify]: Simplify 4.0 into 4.0
3.875 * [backup-simplify]: Simplify 1 into 1
3.875 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.876 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.877 * [backup-simplify]: Simplify (+ 0 0) into 0
3.877 * [taylor]: Taking taylor expansion of 0 in y
3.877 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.879 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.880 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
3.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.882 * [backup-simplify]: Simplify (+ 0 0) into 0
3.882 * [taylor]: Taking taylor expansion of 0 in y
3.882 * [backup-simplify]: Simplify 0 into 0
3.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.883 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2))
3.884 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))
3.884 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0
3.884 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y
3.884 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.884 * [taylor]: Taking taylor expansion of 4.0 in y
3.884 * [backup-simplify]: Simplify 4.0 into 4.0
3.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.884 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.884 * [taylor]: Taking taylor expansion of y in y
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify 1 into 1
3.884 * [backup-simplify]: Simplify (* 1 1) into 1
3.885 * [backup-simplify]: Simplify (/ 1 1) into 1
3.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.885 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.885 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.885 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.885 * [taylor]: Taking taylor expansion of 4.0 in x
3.885 * [backup-simplify]: Simplify 4.0 into 4.0
3.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.885 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.885 * [taylor]: Taking taylor expansion of y in x
3.885 * [backup-simplify]: Simplify y into y
3.885 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.885 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.885 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.885 * [taylor]: Taking taylor expansion of x in x
3.885 * [backup-simplify]: Simplify 0 into 0
3.885 * [backup-simplify]: Simplify 1 into 1
3.886 * [backup-simplify]: Simplify (* 1 1) into 1
3.886 * [backup-simplify]: Simplify (/ 1 1) into 1
3.886 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.886 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (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 (/ 1 (pow y 2)) in x
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 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.886 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* 1 1) into 1
3.887 * [backup-simplify]: Simplify (/ 1 1) into 1
3.887 * [backup-simplify]: Simplify (+ 0 1) into 1
3.887 * [taylor]: Taking taylor expansion of 1 in y
3.887 * [backup-simplify]: Simplify 1 into 1
3.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.888 * [backup-simplify]: Simplify (+ 0 0) into 0
3.888 * [taylor]: Taking taylor expansion of 0 in y
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.889 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2)))
3.889 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.889 * [taylor]: Taking taylor expansion of 4.0 in y
3.889 * [backup-simplify]: Simplify 4.0 into 4.0
3.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.890 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.890 * [taylor]: Taking taylor expansion of y in y
3.890 * [backup-simplify]: Simplify 0 into 0
3.890 * [backup-simplify]: Simplify 1 into 1
3.890 * [backup-simplify]: Simplify (* 1 1) into 1
3.890 * [backup-simplify]: Simplify (/ 1 1) into 1
3.890 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.890 * [backup-simplify]: Simplify 4.0 into 4.0
3.890 * [backup-simplify]: Simplify 1 into 1
3.890 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.891 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.893 * [backup-simplify]: Simplify (+ 0 0) into 0
3.893 * [taylor]: Taking taylor expansion of 0 in y
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.894 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.895 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
3.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.897 * [backup-simplify]: Simplify (+ 0 0) into 0
3.897 * [taylor]: Taking taylor expansion of 0 in y
3.897 * [backup-simplify]: Simplify 0 into 0
3.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.900 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2))
3.901 * * * * [progress]: [ 4 / 4 ] generating series at (2)
3.901 * [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))) (+ (* 4.0 (pow y 2)) (pow x 2)))
3.901 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0
3.901 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y
3.901 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
3.901 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.901 * [taylor]: Taking taylor expansion of x in y
3.901 * [backup-simplify]: Simplify x into x
3.901 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.901 * [taylor]: Taking taylor expansion of 4.0 in y
3.901 * [backup-simplify]: Simplify 4.0 into 4.0
3.901 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.901 * [taylor]: Taking taylor expansion of y in y
3.901 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify 1 into 1
3.902 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y
3.902 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.902 * [taylor]: Taking taylor expansion of 4.0 in y
3.902 * [backup-simplify]: Simplify 4.0 into 4.0
3.902 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.902 * [taylor]: Taking taylor expansion of y in y
3.902 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify 1 into 1
3.902 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.902 * [taylor]: Taking taylor expansion of x in y
3.902 * [backup-simplify]: Simplify x into x
3.902 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.902 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.902 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.902 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.902 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.902 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x
3.903 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
3.903 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.903 * [taylor]: Taking taylor expansion of x in x
3.903 * [backup-simplify]: Simplify 0 into 0
3.903 * [backup-simplify]: Simplify 1 into 1
3.903 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.903 * [taylor]: Taking taylor expansion of 4.0 in x
3.903 * [backup-simplify]: Simplify 4.0 into 4.0
3.903 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.903 * [taylor]: Taking taylor expansion of y in x
3.903 * [backup-simplify]: Simplify y into y
3.903 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x
3.903 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.903 * [taylor]: Taking taylor expansion of 4.0 in x
3.903 * [backup-simplify]: Simplify 4.0 into 4.0
3.903 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.903 * [taylor]: Taking taylor expansion of y in x
3.903 * [backup-simplify]: Simplify y into y
3.903 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.903 * [taylor]: Taking taylor expansion of x in x
3.903 * [backup-simplify]: Simplify 0 into 0
3.903 * [backup-simplify]: Simplify 1 into 1
3.903 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.903 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.904 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
3.904 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
3.904 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.904 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.904 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2))
3.904 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
3.905 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x
3.905 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
3.905 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.905 * [taylor]: Taking taylor expansion of x in x
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 1 into 1
3.905 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.905 * [taylor]: Taking taylor expansion of 4.0 in x
3.905 * [backup-simplify]: Simplify 4.0 into 4.0
3.905 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.905 * [taylor]: Taking taylor expansion of y in x
3.905 * [backup-simplify]: Simplify y into y
3.905 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x
3.905 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.905 * [taylor]: Taking taylor expansion of 4.0 in x
3.905 * [backup-simplify]: Simplify 4.0 into 4.0
3.905 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.905 * [taylor]: Taking taylor expansion of y in x
3.905 * [backup-simplify]: Simplify y into y
3.905 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.905 * [taylor]: Taking taylor expansion of x in x
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 1 into 1
3.905 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.905 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.906 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
3.906 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
3.906 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.906 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.906 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2))
3.907 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
3.907 * [taylor]: Taking taylor expansion of -1.0 in y
3.907 * [backup-simplify]: Simplify -1.0 into -1.0
3.907 * [backup-simplify]: Simplify -1.0 into -1.0
3.907 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.908 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.908 * [backup-simplify]: Simplify (- 0) into 0
3.908 * [backup-simplify]: Simplify (+ 0 0) into 0
3.908 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.909 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.909 * [backup-simplify]: Simplify (+ 0 0) into 0
3.910 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0
3.910 * [taylor]: Taking taylor expansion of 0 in y
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify (* 1 1) into 1
3.911 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.912 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.912 * [backup-simplify]: Simplify (- 0) into 0
3.913 * [backup-simplify]: Simplify (+ 1 0) into 1
3.913 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.914 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.915 * [backup-simplify]: Simplify (* 1 1) into 1
3.915 * [backup-simplify]: Simplify (+ 0 1) into 1
3.916 * [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)))
3.916 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y
3.916 * [taylor]: Taking taylor expansion of 0.5 in y
3.916 * [backup-simplify]: Simplify 0.5 into 0.5
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
3.917 * [backup-simplify]: Simplify (/ 1 1) into 1
3.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.919 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.920 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.921 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.921 * [backup-simplify]: Simplify (- 0) into 0
3.921 * [backup-simplify]: Simplify (+ 0 0) into 0
3.922 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.923 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.923 * [backup-simplify]: Simplify (+ 0 0) into 0
3.924 * [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
3.924 * [taylor]: Taking taylor expansion of 0 in y
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify -1.0 into -1.0
3.924 * [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)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
3.924 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0
3.924 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y
3.924 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.924 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.924 * [taylor]: Taking taylor expansion of x in y
3.924 * [backup-simplify]: Simplify x into x
3.924 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.925 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.925 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.925 * [taylor]: Taking taylor expansion of 4.0 in y
3.925 * [backup-simplify]: Simplify 4.0 into 4.0
3.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.925 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.925 * [taylor]: Taking taylor expansion of y in y
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [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))) (/ 1 (pow x 2))) in y
3.925 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.925 * [taylor]: Taking taylor expansion of 4.0 in y
3.925 * [backup-simplify]: Simplify 4.0 into 4.0
3.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.925 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.925 * [taylor]: Taking taylor expansion of y in y
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify 1 into 1
3.926 * [backup-simplify]: Simplify (* 1 1) into 1
3.926 * [backup-simplify]: Simplify (/ 1 1) into 1
3.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.926 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.926 * [taylor]: Taking taylor expansion of x in y
3.926 * [backup-simplify]: Simplify x into x
3.926 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.926 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.926 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.927 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.927 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
3.927 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.928 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
3.928 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
3.928 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x
3.928 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.928 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.928 * [taylor]: Taking taylor expansion of x in x
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 1 into 1
3.929 * [backup-simplify]: Simplify (* 1 1) into 1
3.929 * [backup-simplify]: Simplify (/ 1 1) into 1
3.929 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.929 * [taylor]: Taking taylor expansion of 4.0 in x
3.929 * [backup-simplify]: Simplify 4.0 into 4.0
3.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.929 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.929 * [taylor]: Taking taylor expansion of y in x
3.929 * [backup-simplify]: Simplify y into y
3.929 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.929 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.929 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.929 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.929 * [taylor]: Taking taylor expansion of 4.0 in x
3.929 * [backup-simplify]: Simplify 4.0 into 4.0
3.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.929 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.929 * [taylor]: Taking taylor expansion of y in x
3.929 * [backup-simplify]: Simplify y into y
3.929 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.929 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.929 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.929 * [taylor]: Taking taylor expansion of x in x
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.930 * [backup-simplify]: Simplify (* 1 1) into 1
3.930 * [backup-simplify]: Simplify (/ 1 1) into 1
3.930 * [backup-simplify]: Simplify (+ 1 0) into 1
3.931 * [backup-simplify]: Simplify (+ 0 1) into 1
3.931 * [backup-simplify]: Simplify (/ 1 1) into 1
3.931 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x
3.931 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.931 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.931 * [taylor]: Taking taylor expansion of x in x
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify 1 into 1
3.931 * [backup-simplify]: Simplify (* 1 1) into 1
3.931 * [backup-simplify]: Simplify (/ 1 1) into 1
3.931 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.931 * [taylor]: Taking taylor expansion of 4.0 in x
3.931 * [backup-simplify]: Simplify 4.0 into 4.0
3.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.931 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.932 * [taylor]: Taking taylor expansion of y in x
3.932 * [backup-simplify]: Simplify y into y
3.932 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.932 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.932 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.932 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.932 * [taylor]: Taking taylor expansion of 4.0 in x
3.932 * [backup-simplify]: Simplify 4.0 into 4.0
3.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.932 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.932 * [taylor]: Taking taylor expansion of y in x
3.932 * [backup-simplify]: Simplify y into y
3.932 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.932 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.932 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.932 * [taylor]: Taking taylor expansion of x in x
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 1 into 1
3.932 * [backup-simplify]: Simplify (* 1 1) into 1
3.933 * [backup-simplify]: Simplify (/ 1 1) into 1
3.933 * [backup-simplify]: Simplify (+ 1 0) into 1
3.933 * [backup-simplify]: Simplify (+ 0 1) into 1
3.933 * [backup-simplify]: Simplify (/ 1 1) into 1
3.933 * [taylor]: Taking taylor expansion of 1 in y
3.933 * [backup-simplify]: Simplify 1 into 1
3.933 * [backup-simplify]: Simplify 1 into 1
3.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.935 * [backup-simplify]: Simplify (+ 0 0) into 0
3.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.936 * [backup-simplify]: Simplify (+ 0 0) into 0
3.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.936 * [taylor]: Taking taylor expansion of 0 in y
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.938 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.938 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.938 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
3.938 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.939 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2)))
3.940 * [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))))
3.940 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
3.940 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
3.940 * [taylor]: Taking taylor expansion of 8.0 in y
3.940 * [backup-simplify]: Simplify 8.0 into 8.0
3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.940 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.940 * [taylor]: Taking taylor expansion of y in y
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify 1 into 1
3.940 * [backup-simplify]: Simplify (* 1 1) into 1
3.941 * [backup-simplify]: Simplify (/ 1 1) into 1
3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.943 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
3.943 * [backup-simplify]: Simplify (- 0) into 0
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.945 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.946 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.946 * [backup-simplify]: Simplify (- 0) into 0
3.946 * [backup-simplify]: Simplify (+ 0 0) into 0
3.946 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.947 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.949 * [backup-simplify]: Simplify (+ 0 0) into 0
3.951 * [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
3.951 * [taylor]: Taking taylor expansion of 0 in y
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify 1 into 1
3.952 * [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)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))))
3.952 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0
3.952 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y
3.952 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.952 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.952 * [taylor]: Taking taylor expansion of x in y
3.952 * [backup-simplify]: Simplify x into x
3.952 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.952 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.952 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.952 * [taylor]: Taking taylor expansion of 4.0 in y
3.952 * [backup-simplify]: Simplify 4.0 into 4.0
3.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.952 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.952 * [taylor]: Taking taylor expansion of y in y
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 1 into 1
3.953 * [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))) (/ 1 (pow x 2))) in y
3.953 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.953 * [taylor]: Taking taylor expansion of 4.0 in y
3.953 * [backup-simplify]: Simplify 4.0 into 4.0
3.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.953 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.953 * [taylor]: Taking taylor expansion of y in y
3.953 * [backup-simplify]: Simplify 0 into 0
3.953 * [backup-simplify]: Simplify 1 into 1
3.954 * [backup-simplify]: Simplify (* 1 1) into 1
3.954 * [backup-simplify]: Simplify (/ 1 1) into 1
3.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.954 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.954 * [taylor]: Taking taylor expansion of x in y
3.954 * [backup-simplify]: Simplify x into x
3.954 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.954 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.955 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.955 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.956 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
3.956 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.957 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
3.958 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
3.958 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x
3.958 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.958 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.958 * [taylor]: Taking taylor expansion of x in x
3.958 * [backup-simplify]: Simplify 0 into 0
3.958 * [backup-simplify]: Simplify 1 into 1
3.958 * [backup-simplify]: Simplify (* 1 1) into 1
3.958 * [backup-simplify]: Simplify (/ 1 1) into 1
3.958 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.958 * [taylor]: Taking taylor expansion of 4.0 in x
3.958 * [backup-simplify]: Simplify 4.0 into 4.0
3.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.959 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.959 * [taylor]: Taking taylor expansion of y in x
3.959 * [backup-simplify]: Simplify y into y
3.959 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.959 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.959 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.959 * [taylor]: Taking taylor expansion of 4.0 in x
3.959 * [backup-simplify]: Simplify 4.0 into 4.0
3.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.959 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.959 * [taylor]: Taking taylor expansion of y in x
3.959 * [backup-simplify]: Simplify y into y
3.959 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.959 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.959 * [taylor]: Taking taylor expansion of x in x
3.959 * [backup-simplify]: Simplify 0 into 0
3.959 * [backup-simplify]: Simplify 1 into 1
3.960 * [backup-simplify]: Simplify (* 1 1) into 1
3.960 * [backup-simplify]: Simplify (/ 1 1) into 1
3.960 * [backup-simplify]: Simplify (+ 1 0) into 1
3.961 * [backup-simplify]: Simplify (+ 0 1) into 1
3.961 * [backup-simplify]: Simplify (/ 1 1) into 1
3.961 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x
3.961 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.961 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.961 * [taylor]: Taking taylor expansion of x in x
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 1 into 1
3.962 * [backup-simplify]: Simplify (* 1 1) into 1
3.962 * [backup-simplify]: Simplify (/ 1 1) into 1
3.962 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.962 * [taylor]: Taking taylor expansion of 4.0 in x
3.962 * [backup-simplify]: Simplify 4.0 into 4.0
3.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.962 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.962 * [taylor]: Taking taylor expansion of y in x
3.962 * [backup-simplify]: Simplify y into y
3.962 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.962 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.962 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x
3.962 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.963 * [taylor]: Taking taylor expansion of 4.0 in x
3.963 * [backup-simplify]: Simplify 4.0 into 4.0
3.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.963 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.963 * [taylor]: Taking taylor expansion of y in x
3.963 * [backup-simplify]: Simplify y into y
3.963 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.963 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.963 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.963 * [taylor]: Taking taylor expansion of x in x
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 1 into 1
3.963 * [backup-simplify]: Simplify (* 1 1) into 1
3.964 * [backup-simplify]: Simplify (/ 1 1) into 1
3.964 * [backup-simplify]: Simplify (+ 1 0) into 1
3.964 * [backup-simplify]: Simplify (+ 0 1) into 1
3.965 * [backup-simplify]: Simplify (/ 1 1) into 1
3.965 * [taylor]: Taking taylor expansion of 1 in y
3.965 * [backup-simplify]: Simplify 1 into 1
3.965 * [backup-simplify]: Simplify 1 into 1
3.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.967 * [backup-simplify]: Simplify (+ 0 0) into 0
3.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.968 * [backup-simplify]: Simplify (+ 0 0) into 0
3.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.969 * [taylor]: Taking taylor expansion of 0 in y
3.969 * [backup-simplify]: Simplify 0 into 0
3.969 * [backup-simplify]: Simplify 0 into 0
3.969 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.971 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.971 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.971 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
3.971 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.973 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2)))
3.975 * [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))))
3.975 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
3.975 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
3.975 * [taylor]: Taking taylor expansion of 8.0 in y
3.975 * [backup-simplify]: Simplify 8.0 into 8.0
3.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.975 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.975 * [taylor]: Taking taylor expansion of y in y
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify 1 into 1
3.975 * [backup-simplify]: Simplify (* 1 1) into 1
3.976 * [backup-simplify]: Simplify (/ 1 1) into 1
3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.978 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
3.979 * [backup-simplify]: Simplify (- 0) into 0
3.979 * [backup-simplify]: Simplify 0 into 0
3.979 * [backup-simplify]: Simplify 0 into 0
3.979 * [backup-simplify]: Simplify 0 into 0
3.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.980 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.981 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.981 * [backup-simplify]: Simplify (- 0) into 0
3.981 * [backup-simplify]: Simplify (+ 0 0) into 0
3.981 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.982 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.983 * [backup-simplify]: Simplify (+ 0 0) into 0
3.986 * [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
3.986 * [taylor]: Taking taylor expansion of 0 in y
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 1 into 1
3.986 * * * [progress]: simplifying candidates
3.989 * [simplify]: Simplifying:
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  (/ 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)))
  -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)))
  (+ (* 4.0 (pow y 2)) (pow x 2))
  (+ (* 4.0 (pow y 2)) (pow x 2))
  (+ (* 4.0 (pow y 2)) (pow x 2))
  -1.0
  1
  1
3.992 * * [simplify]: iteration 0: 192 enodes
4.095 * * [simplify]: iteration 1: 519 enodes
4.291 * * [simplify]: iteration 2: 1493 enodes
5.118 * * [simplify]: iteration complete: 5001 enodes
5.118 * * [simplify]: Extracting #0: cost 84 inf + 0
5.121 * * [simplify]: Extracting #1: cost 669 inf + 3
5.130 * * [simplify]: Extracting #2: cost 1612 inf + 1745
5.151 * * [simplify]: Extracting #3: cost 1544 inf + 35400
5.223 * * [simplify]: Extracting #4: cost 848 inf + 198645
5.357 * * [simplify]: Extracting #5: cost 96 inf + 422554
5.492 * * [simplify]: Extracting #6: cost 4 inf + 453037
5.612 * * [simplify]: Extracting #7: cost 0 inf + 453947
5.758 * [simplify]: Simplified to:
  (log (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (log (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (exp (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (* (* (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))) (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))) (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (* (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))) (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (* (* (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))) (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))) (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (sqrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (sqrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (- (- (* x x)) (* 4.0 (* y y)))
  (- (- (* x x) (* 4.0 (* y y))))
  (* (/ (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y))))) (/ (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y))))))
  (/ (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (* (cbrt (+ (* x x) (* 4.0 (* y y)))) (/ (cbrt (+ (* x x) (* 4.0 (* y y)))) (sqrt (- (* x x) (* 4.0 (* y y))))))
  (/ (cbrt (+ (* x x) (* 4.0 (* y y)))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (* (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (cbrt (+ (* x x) (* 4.0 (* y y)))) (- (* x x) (* 4.0 (* y y))))
  (/ (sqrt (+ (* x x) (* 4.0 (* y y)))) (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y))))))
  (/ (sqrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ (sqrt (+ (* x x) (* 4.0 (* y y)))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ (sqrt (+ (* x x) (* 4.0 (* y y)))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (sqrt (+ (* x x) (* 4.0 (* y y))))
  (/ (sqrt (+ (* x x) (* 4.0 (* y y)))) (- (* x x) (* 4.0 (* y y))))
  (/ 1 (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y))))))
  (/ (+ (* x x) (* 4.0 (* y y))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ 1 (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ (+ (* x x) (* 4.0 (* y y))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  1
  (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (/ 1 (- (* x x) (* 4.0 (* y y))))
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  (/ (/ (+ (* x x) (* 4.0 (* y y))) (cbrt (- (* x x) (* 4.0 (* y y))))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ (+ (* x x) (* 4.0 (* y y))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (+ (* x x) (* 4.0 (* y y)))
  (/ (- (* x x) (* 4.0 (* y y))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  (/ (+ (* x x) (* 4.0 (* y y))) (- (* (* (* x x) x) (* (* x x) x)) (* (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* 4.0 (* y y)))))
  (/ (+ (* x x) (* 4.0 (* y y))) (* (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (+ (* (* (- (* x x) (* 4.0 (* y y))) (* 4.0 (* y y))) (* 4.0 (* y y))) (* (- (* x x) (* 4.0 (* y y))) (* (* x x) (- (* x x) (* 4.0 (* y y))))))
  (* (- (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (exp (- (* x x) (* 4.0 (* y y))))
  (log (- (* x x) (* 4.0 (* y y))))
  (exp (- (* x x) (* 4.0 (* y y))))
  (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (cbrt (- (* x x) (* 4.0 (* y y))))
  (* (- (* x x) (* 4.0 (* y y))) (* (- (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))
  (sqrt (- (* x x) (* 4.0 (* y y))))
  (sqrt (- (* x x) (* 4.0 (* y y))))
  (- (* (* (* x x) x) (* (* x x) x)) (* (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* 4.0 (* y y))))
  (+ (* (* 4.0 (* y y)) (+ (* x x) (* 4.0 (* y y)))) (* (* x x) (* x x)))
  (- (* 4.0 (* y y)))
  (* (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (+ (* x x) (* 4.0 (* y y)))
  (- (* 4.0 (* y y)))
  (exp (+ (* x x) (* 4.0 (* y y))))
  (log (+ (* x x) (* 4.0 (* y y))))
  (exp (+ (* x x) (* 4.0 (* y y))))
  (* (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (cbrt (+ (* x x) (* 4.0 (* y y))))
  (* (* (+ (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (sqrt (+ (* x x) (* 4.0 (* y y))))
  (sqrt (+ (* x x) (* 4.0 (* y y))))
  (+ (* (* (* x x) x) (* (* x x) x)) (* (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* 4.0 (* y y))))
  (+ (* (- (* 4.0 (* y y)) (* x x)) (* 4.0 (* y y))) (* (* x x) (* x x)))
  (* (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (- (* x x) (* 4.0 (* y y)))
  -1
  (log (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (log (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (log (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (log (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (log (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (log (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (log (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (exp (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (* (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) (* (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))))
  (* (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) (* (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))))
  (* (cbrt (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))) (cbrt (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))))
  (cbrt (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (* (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) (* (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))))
  (sqrt (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  (sqrt (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))))
  -1
  (/ (- (- (* x x)) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (* (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))) (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))))
  (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (/ (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y))))) (* (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y))))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (* (/ (/ 1 (cbrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (/ 1 (cbrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (* (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (sqrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (* (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (* (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (sqrt (- (* x x) (* 4.0 (* y y))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  1
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  1
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* x x) (* 4.0 (* y y))))
  (- (* x x) (* 4.0 (* y y)))
  (/ (- (* (* (* x x) x) (* (* x x) x)) (* (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* (* 4.0 (* y y)) (+ (* x x) (* 4.0 (* y y)))) (* (* x x) (* x x))))
  (/ (* (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* x x) (* 4.0 (* y y))))
  (* (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))) (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))))
  (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (/ (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y))))) (* (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y))))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (* (/ (/ 1 (cbrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (/ 1 (cbrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (* (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (sqrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (* (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (* (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (sqrt (- (* x x) (* 4.0 (* y y))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  1
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  1
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* x x) (* 4.0 (* y y))))
  (- (* x x) (* 4.0 (* y y)))
  (/ (- (* (* (* x x) x) (* (* x x) x)) (* (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* (* 4.0 (* y y)) (+ (* x x) (* 4.0 (* y y)))) (* (* x x) (* x x))))
  (/ (* (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* x x) (* 4.0 (* y y))))
  (* (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))) (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))))
  (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (/ (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y))))) (* (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y))))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (* (/ (/ 1 (cbrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (/ 1 (cbrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (* (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (sqrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (* (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (* (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (/ (- (* x x) (* 4.0 (* y y))) (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (sqrt (- (* x x) (* 4.0 (* y y))))
  (/ (sqrt (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  1
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  1
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* x x) (* 4.0 (* y y))))
  (- (* x x) (* 4.0 (* y y)))
  (/ (- (* (* (* x x) x) (* (* x x) x)) (* (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* (* 4.0 (* y y)) (+ (* x x) (* 4.0 (* y y)))) (* (* x x) (* x x))))
  (/ (* (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* x x) (* 4.0 (* y y))))
  (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))
  (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (* (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))) (/ 1 (cbrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))))))
  (/ 1 (sqrt (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))))
  (/ (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y))))) (* (cbrt (+ (* x x) (* 4.0 (* y y)))) (cbrt (+ (* x x) (* 4.0 (* y y))))))
  (* (/ (/ 1 (cbrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ (/ 1 (cbrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (+ (* x x) (* 4.0 (* y y)))))
  (* (/ (cbrt (- (* x x) (* 4.0 (* y y)))) (sqrt (+ (* x x) (* 4.0 (* y y))))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (* (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y))))) (sqrt (- (* x x) (* 4.0 (* y y)))))
  (/ 1 (sqrt (+ (* x x) (* 4.0 (* y y)))))
  (* (cbrt (- (* x x) (* 4.0 (* y y)))) (cbrt (- (* x x) (* 4.0 (* y y)))))
  (sqrt (- (* x x) (* 4.0 (* y y))))
  1
  1
  (/ 1 (+ (* x x) (* 4.0 (* y y))))
  (/ (- (* (* (* x x) x) (* (* x x) x)) (* (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (/ (* (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y)))) (+ (* x x) (* 4.0 (* y y))))
  (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (/ (+ (* x x) (* 4.0 (* y y))) (- (* x x) (* 4.0 (* y y))))
  (/ 1 (+ (* x x) (* 4.0 (* y y))))
  -1.0
  1
  1
  (- (* x x) (* 4.0 (* y y)))
  (- (* x x) (* 4.0 (* y y)))
  (- (* x x) (* 4.0 (* y y)))
  (+ (* x x) (* 4.0 (* y y)))
  (+ (* x x) (* 4.0 (* y y)))
  (+ (* x x) (* 4.0 (* y y)))
  -1.0
  1
  1
5.773 * * * [progress]: adding candidates to table
6.524 * * [progress]: iteration 3 / 4
6.525 * * * [progress]: picking best candidate
6.530 * * * * [pick]: Picked  #<alt (λ (x y) -1.0)>
6.531 * * * [progress]: localizing error
6.531 * * * [progress]: generating rewritten candidates
6.531 * * * [progress]: generating series expansions
6.531 * * * [progress]: simplifying candidates
6.531 * [simplify]: Simplifying:
  
6.531 * * [simplify]: iteration 0: 0 enodes
6.531 * * [simplify]: iteration complete: 0 enodes
6.531 * * [simplify]: Extracting #0: cost 0 inf + 0
6.531 * [simplify]: Simplified to:
  
6.531 * * * [progress]: adding candidates to table
6.532 * * [progress]: iteration 4 / 4
6.532 * * * [progress]: picking best candidate
6.535 * * * * [pick]: Picked  #<alt (λ (x y) 1)>
6.535 * * * [progress]: localizing error
6.535 * * * [progress]: generating rewritten candidates
6.535 * * * [progress]: generating series expansions
6.535 * * * [progress]: simplifying candidates
6.535 * [simplify]: Simplifying:
  
6.535 * * [simplify]: iteration 0: 0 enodes
6.536 * * [simplify]: iteration complete: 0 enodes
6.536 * * [simplify]: Extracting #0: cost 0 inf + 0
6.536 * [simplify]: Simplified to:
  
6.536 * * * [progress]: adding candidates to table
6.536 * [progress]: [Phase 3 of 3] Extracting.
6.536 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) 1)>)
6.536 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x)
6.536 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (#<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) 1)>)
6.581 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) 1)>)
6.651 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) 1)>)
6.733 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) 1)>)
6.812 * * * [regime]: Found split indices: #<option (#s(si 1 55) #s(si 0 91) #s(si 2 172) #s(si 0 194) #s(si 2 201) #s(si 0 216) #s(si 1 255))>
6.813 * [binary-search]: Improving bounds with binary search for y and (#<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) 1)>)
7.126 * [regimes]: Found splitpoints: (#s(sp 1 y -1.301374440507405e+46) #s(sp 0 y -1.3254874554693039e-118) #s(sp 2 y 4.2562076670661187e-88) #s(sp 0 y 2.245089248299778e+35) #s(sp 2 y 1.385619300047896e+55) #s(sp 0 y 1.7216615225191455e+119) #s(sp 1 y +nan.0)) , with alts (#<alt (λ (x y) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) 1)>)
7.127 * [simplify]: Simplifying:
  (if (<= y -1.301374440507405e+46) -1.0 (if (<= y -1.3254874554693039e-118) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (if (<= y 4.2562076670661187e-88) 1 (if (<= y 2.245089248299778e+35) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (if (<= y 1.385619300047896e+55) 1 (if (<= y 1.7216615225191455e+119) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) -1.0))))))
7.127 * * [simplify]: iteration 0: 30 enodes
7.129 * * [simplify]: iteration 1: 35 enodes
7.131 * * [simplify]: iteration complete: 35 enodes
7.131 * * [simplify]: Extracting #0: cost 1 inf + 0
7.131 * * [simplify]: Extracting #1: cost 4 inf + 0
7.131 * * [simplify]: Extracting #2: cost 8 inf + 1
7.131 * * [simplify]: Extracting #3: cost 11 inf + 3
7.132 * * [simplify]: Extracting #4: cost 12 inf + 139
7.132 * * [simplify]: Extracting #5: cost 16 inf + 140
7.132 * * [simplify]: Extracting #6: cost 18 inf + 208
7.132 * * [simplify]: Extracting #7: cost 16 inf + 318
7.132 * * [simplify]: Extracting #8: cost 13 inf + 387
7.133 * * [simplify]: Extracting #9: cost 8 inf + 904
7.133 * * [simplify]: Extracting #10: cost 5 inf + 1847
7.134 * * [simplify]: Extracting #11: cost 4 inf + 2394
7.134 * * [simplify]: Extracting #12: cost 3 inf + 3072
7.136 * * [simplify]: Extracting #13: cost 1 inf + 4821
7.137 * * [simplify]: Extracting #14: cost 0 inf + 5892
7.138 * [simplify]: Simplified to:
  (if (<= y -1.301374440507405e+46) -1.0 (if (<= y -1.3254874554693039e-118) (/ 1 (/ (+ (* x x) (* y (* 4.0 y))) (- (* x x) (* y (* 4.0 y))))) (if (<= y 4.2562076670661187e-88) 1 (if (<= y 2.245089248299778e+35) (/ 1 (/ (+ (* x x) (* y (* 4.0 y))) (- (* x x) (* y (* 4.0 y))))) (if (<= y 1.385619300047896e+55) 1 (if (<= y 1.7216615225191455e+119) (/ 1 (/ (+ (* x x) (* y (* 4.0 y))) (- (* x x) (* y (* 4.0 y))))) -1.0))))))
8.494 * [regime-testing]: Baseline error score: 31.92032798787095
8.503 * [regime-testing]: Oracle error score: 0.41529397037389737
8.522 * [regime-testing]: End program error score: 13.181008206212677
8.689 * [regime-testing]: Target error score: 31.63292770287506