5.325 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.031 * * [simplify]: iteration 0: 9 enodes 0.032 * * [simplify]: iteration 1: 17 enodes 0.034 * * [simplify]: iteration 2: 35 enodes 0.040 * * [simplify]: iteration 3: 67 enodes 0.050 * * [simplify]: iteration 4: 116 enodes 0.081 * * [simplify]: iteration 5: 169 enodes 0.142 * * [simplify]: iteration 6: 198 enodes 0.200 * * [simplify]: iteration 7: 202 enodes 0.254 * * [simplify]: iteration complete: 202 enodes 0.254 * * [simplify]: Extracting #0: cost 1 inf + 0 0.255 * * [simplify]: Extracting #1: cost 6 inf + 0 0.256 * * [simplify]: Extracting #2: cost 36 inf + 0 0.256 * * [simplify]: Extracting #3: cost 24 inf + 35 0.256 * * [simplify]: Extracting #4: cost 6 inf + 262 0.256 * * [simplify]: Extracting #5: cost 0 inf + 338 0.256 * [simplify]: Simplified to: (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) 0.260 * * [progress]: iteration 1 / 4 0.261 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.266 * * * [progress]: localizing error 0.293 * * * [progress]: generating rewritten candidates 0.293 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.331 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.338 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.352 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.381 * * * [progress]: generating series expansions 0.381 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.382 * [backup-simplify]: Simplify (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 0.382 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [backup-simplify]: Simplify x into x 0.382 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.382 * [taylor]: Taking taylor expansion of 4.0 in y 0.382 * [backup-simplify]: Simplify 4.0 into 4.0 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 0.382 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.382 * [taylor]: Taking taylor expansion of 4.0 in y 0.382 * [backup-simplify]: Simplify 4.0 into 4.0 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [backup-simplify]: Simplify x into x 0.382 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.383 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.383 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.383 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.383 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.383 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.383 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.383 * [taylor]: Taking taylor expansion of 4.0 in x 0.383 * [backup-simplify]: Simplify 4.0 into 4.0 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [backup-simplify]: Simplify y into y 0.384 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of 4.0 in x 0.384 * [backup-simplify]: Simplify 4.0 into 4.0 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [backup-simplify]: Simplify y into y 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 (* y y) into (pow y 2) 0.384 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.384 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.384 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.384 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.385 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.385 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.385 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.385 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.385 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 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 0.385 * [taylor]: Taking taylor expansion of (* 4.0 (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 (pow y 2) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [backup-simplify]: Simplify y into y 0.386 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (* 4.0 (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 (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 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.386 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.386 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.386 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.386 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.387 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.387 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.387 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.387 * [taylor]: Taking taylor expansion of -1.0 in y 0.387 * [backup-simplify]: Simplify -1.0 into -1.0 0.387 * [backup-simplify]: Simplify -1.0 into -1.0 0.387 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.388 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.390 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 1 0) into 1 0.394 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.397 * [backup-simplify]: Simplify (+ 0 1) into 1 0.397 * [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))) 0.397 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of 0.5 in y 0.398 * [backup-simplify]: Simplify 0.5 into 0.5 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [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 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify -1.0 into -1.0 0.411 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* 4.0 (* (/ 1 y) (/ 1 y)))) (+ (* (/ 1 x) (/ 1 x)) (* 4.0 (* (/ 1 y) (/ 1 y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 0.411 * [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 0.412 * [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 0.412 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [backup-simplify]: Simplify x into x 0.412 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.412 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.412 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.412 * [taylor]: Taking taylor expansion of 4.0 in y 0.412 * [backup-simplify]: Simplify 4.0 into 4.0 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 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))) (/ 1 (pow x 2))) in y 0.413 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.413 * [taylor]: Taking taylor expansion of 4.0 in y 0.413 * [backup-simplify]: Simplify 4.0 into 4.0 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [backup-simplify]: Simplify x into x 0.414 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.414 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.415 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.415 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.416 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.417 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.417 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.418 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.418 * [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 0.418 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.419 * [taylor]: Taking taylor expansion of 4.0 in x 0.419 * [backup-simplify]: Simplify 4.0 into 4.0 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [backup-simplify]: Simplify y into y 0.419 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.419 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.419 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.419 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.419 * [taylor]: Taking taylor expansion of 4.0 in x 0.419 * [backup-simplify]: Simplify 4.0 into 4.0 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.420 * [backup-simplify]: Simplify y into y 0.420 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.420 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (+ 0 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [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 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.423 * [taylor]: Taking taylor expansion of 4.0 in x 0.423 * [backup-simplify]: Simplify 4.0 into 4.0 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [backup-simplify]: Simplify y into y 0.423 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.423 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.423 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.423 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.423 * [taylor]: Taking taylor expansion of 4.0 in x 0.423 * [backup-simplify]: Simplify 4.0 into 4.0 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [backup-simplify]: Simplify y into y 0.424 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.424 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (+ 0 1) into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of 1 in y 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 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 (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.433 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.433 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.433 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.439 * [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)))) 0.439 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.439 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.439 * [taylor]: Taking taylor expansion of 8.0 in y 0.439 * [backup-simplify]: Simplify 8.0 into 8.0 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [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 0.453 * [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 1 into 1 0.454 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* 4.0 (* (/ 1 (- y)) (/ 1 (- y))))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* 4.0 (* (/ 1 (- y)) (/ 1 (- y)))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 0.454 * [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 0.454 * [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 0.454 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [backup-simplify]: Simplify x into x 0.454 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.454 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.454 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.454 * [taylor]: Taking taylor expansion of 4.0 in y 0.454 * [backup-simplify]: Simplify 4.0 into 4.0 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.456 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.456 * [taylor]: Taking taylor expansion of 4.0 in y 0.456 * [backup-simplify]: Simplify 4.0 into 4.0 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [backup-simplify]: Simplify x into x 0.457 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.457 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.458 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.458 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.459 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.459 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.460 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.461 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.461 * [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 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [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))) 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) 0.462 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 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 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (+ 0 1) into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [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 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.466 * [taylor]: Taking taylor expansion of 4.0 in x 0.466 * [backup-simplify]: Simplify 4.0 into 4.0 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [backup-simplify]: Simplify y into y 0.466 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.466 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.466 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.466 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.466 * [taylor]: Taking taylor expansion of 4.0 in x 0.466 * [backup-simplify]: Simplify 4.0 into 4.0 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [backup-simplify]: Simplify y into y 0.467 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.467 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.468 * [backup-simplify]: Simplify (+ 0 1) into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [taylor]: Taking taylor expansion of 1 in y 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.476 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.476 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.476 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.480 * [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)))) 0.480 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.480 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.480 * [taylor]: Taking taylor expansion of 8.0 in y 0.480 * [backup-simplify]: Simplify 8.0 into 8.0 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [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 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.495 * [backup-simplify]: Simplify (- (* x x) (* 4.0 (* y y))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.495 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [backup-simplify]: Simplify x into x 0.495 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of 4.0 in y 0.495 * [backup-simplify]: Simplify 4.0 into 4.0 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of 4.0 in x 0.495 * [backup-simplify]: Simplify 4.0 into 4.0 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [backup-simplify]: Simplify y into y 0.495 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of 4.0 in x 0.496 * [backup-simplify]: Simplify 4.0 into 4.0 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [backup-simplify]: Simplify y into y 0.496 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.496 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.496 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.496 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.496 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.497 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of 4.0 in y 0.497 * [backup-simplify]: Simplify 4.0 into 4.0 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.497 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.501 * [backup-simplify]: Simplify (+ 1 0) into 1 0.501 * [taylor]: Taking taylor expansion of 1 in y 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.503 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.503 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.508 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify (- 0) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.515 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* 4.0 (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.515 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [backup-simplify]: Simplify x into x 0.515 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.515 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.515 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.515 * [taylor]: Taking taylor expansion of 4.0 in y 0.515 * [backup-simplify]: Simplify 4.0 into 4.0 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.517 * [taylor]: Taking taylor expansion of 4.0 in x 0.517 * [backup-simplify]: Simplify 4.0 into 4.0 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [backup-simplify]: Simplify y into y 0.517 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.517 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (* 1 1) into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.518 * [taylor]: Taking taylor expansion of 4.0 in x 0.518 * [backup-simplify]: Simplify 4.0 into 4.0 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [backup-simplify]: Simplify y into y 0.518 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.519 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.519 * [backup-simplify]: Simplify (+ 1 0) into 1 0.519 * [taylor]: Taking taylor expansion of 1 in y 0.519 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.523 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.523 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.523 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.523 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.523 * [taylor]: Taking taylor expansion of 4.0 in y 0.524 * [backup-simplify]: Simplify 4.0 into 4.0 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.525 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.526 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.526 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.536 * [backup-simplify]: Simplify (- 0) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.540 * [backup-simplify]: Simplify (- 0) into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [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))) 0.541 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* 4.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.541 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.541 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [backup-simplify]: Simplify x into x 0.541 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.541 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.541 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.541 * [taylor]: Taking taylor expansion of 4.0 in y 0.541 * [backup-simplify]: Simplify 4.0 into 4.0 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (* 1 1) into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.542 * [taylor]: Taking taylor expansion of 4.0 in x 0.542 * [backup-simplify]: Simplify 4.0 into 4.0 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [backup-simplify]: Simplify y into y 0.542 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.542 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.542 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.543 * [taylor]: Taking taylor expansion of 4.0 in x 0.543 * [backup-simplify]: Simplify 4.0 into 4.0 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [backup-simplify]: Simplify y into y 0.543 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.543 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.544 * [backup-simplify]: Simplify (+ 1 0) into 1 0.544 * [taylor]: Taking taylor expansion of 1 in y 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.546 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.546 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.546 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.546 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.546 * [taylor]: Taking taylor expansion of 4.0 in y 0.546 * [backup-simplify]: Simplify 4.0 into 4.0 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.547 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.548 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.550 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.554 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.554 * [backup-simplify]: Simplify (- 0) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.556 * [backup-simplify]: Simplify (- 0) into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.557 * [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))) 0.557 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.557 * [backup-simplify]: Simplify (* 4.0 (* y y)) into (* 4.0 (pow y 2)) 0.557 * [approximate]: Taking taylor expansion of (* 4.0 (pow y 2)) in (y) around 0 0.557 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.557 * [taylor]: Taking taylor expansion of 4.0 in y 0.557 * [backup-simplify]: Simplify 4.0 into 4.0 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.557 * [taylor]: Taking taylor expansion of 4.0 in y 0.557 * [backup-simplify]: Simplify 4.0 into 4.0 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.558 * [backup-simplify]: Simplify 4.0 into 4.0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.561 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.566 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.566 * [backup-simplify]: Simplify (* 4.0 (* (/ 1 y) (/ 1 y))) into (/ 4.0 (pow y 2)) 0.566 * [approximate]: Taking taylor expansion of (/ 4.0 (pow y 2)) in (y) around 0 0.566 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of 4.0 in y 0.566 * [backup-simplify]: Simplify 4.0 into 4.0 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.567 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of 4.0 in y 0.567 * [backup-simplify]: Simplify 4.0 into 4.0 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.568 * [backup-simplify]: Simplify 4.0 into 4.0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (* 4.0 (pow (/ 1 (/ 1 y)) 2)) into (* 4.0 (pow y 2)) 0.583 * [backup-simplify]: Simplify (* 4.0 (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 4.0 (pow y 2)) 0.583 * [approximate]: Taking taylor expansion of (/ 4.0 (pow y 2)) in (y) around 0 0.583 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of 4.0 in y 0.583 * [backup-simplify]: Simplify 4.0 into 4.0 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (* 1 1) into 1 0.585 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.585 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of 4.0 in y 0.585 * [backup-simplify]: Simplify 4.0 into 4.0 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (* 1 1) into 1 0.586 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.586 * [backup-simplify]: Simplify 4.0 into 4.0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (* 4.0 (pow (/ 1 (/ 1 (- y))) 2)) into (* 4.0 (pow y 2)) 0.595 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.596 * [backup-simplify]: Simplify (* 4.0 (* y y)) into (* 4.0 (pow y 2)) 0.596 * [approximate]: Taking taylor expansion of (* 4.0 (pow y 2)) in (y) around 0 0.596 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.596 * [taylor]: Taking taylor expansion of 4.0 in y 0.596 * [backup-simplify]: Simplify 4.0 into 4.0 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.596 * [taylor]: Taking taylor expansion of 4.0 in y 0.596 * [backup-simplify]: Simplify 4.0 into 4.0 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (* 1 1) into 1 0.596 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.596 * [backup-simplify]: Simplify 4.0 into 4.0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.605 * [backup-simplify]: Simplify (* 4.0 (* (/ 1 y) (/ 1 y))) into (/ 4.0 (pow y 2)) 0.605 * [approximate]: Taking taylor expansion of (/ 4.0 (pow y 2)) in (y) around 0 0.605 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.605 * [taylor]: Taking taylor expansion of 4.0 in y 0.605 * [backup-simplify]: Simplify 4.0 into 4.0 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.605 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.605 * [taylor]: Taking taylor expansion of 4.0 in y 0.605 * [backup-simplify]: Simplify 4.0 into 4.0 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.606 * [backup-simplify]: Simplify 4.0 into 4.0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (* 4.0 (pow (/ 1 (/ 1 y)) 2)) into (* 4.0 (pow y 2)) 0.614 * [backup-simplify]: Simplify (* 4.0 (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 4.0 (pow y 2)) 0.614 * [approximate]: Taking taylor expansion of (/ 4.0 (pow y 2)) in (y) around 0 0.614 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of 4.0 in y 0.614 * [backup-simplify]: Simplify 4.0 into 4.0 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (* 1 1) into 1 0.614 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.614 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of 4.0 in y 0.615 * [backup-simplify]: Simplify 4.0 into 4.0 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.615 * [backup-simplify]: Simplify 4.0 into 4.0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (* 4.0 (pow (/ 1 (/ 1 (- y))) 2)) into (* 4.0 (pow y 2)) 0.623 * * * [progress]: simplifying candidates 0.624 * [simplify]: Simplifying: (- (log (- (* x x) (* 4.0 (* y y)))) (log (+ (* 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)))) (/ (* 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))))) 1) (/ (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)))) 1) (/ (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 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))) 1) (/ (+ (* 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))) (+ (pow (* x x) 3) (pow (* 4.0 (* y y)) 3))) (/ (- (* x x) (* 4.0 (* y y))) (- (* (* x x) (* x x)) (* (* 4.0 (* y y)) (* 4.0 (* y y))))) (* (+ (* x x) (* 4.0 (* y y))) (+ (* (* x x) (* x x)) (+ (* (* 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)))) (/ (exp (* x x)) (exp (* 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)))) (- (pow (* x x) 3) (pow (* 4.0 (* y y)) 3)) (+ (* (* x x) (* x x)) (+ (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* (* x x) (* 4.0 (* y y))))) (- (* 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))) (* 4.0 (* y y)) (* 4.0 (* y y)) (+ (log 4.0) (+ (log y) (log y))) (+ (log 4.0) (log (* y y))) (log (* 4.0 (* y y))) (exp (* 4.0 (* y y))) (* (* (* 4.0 4.0) 4.0) (* (* (* y y) y) (* (* y y) y))) (* (* (* 4.0 4.0) 4.0) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 4.0 (* y y))) (cbrt (* 4.0 (* y y)))) (cbrt (* 4.0 (* y y))) (* (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* 4.0 (* y y))) (sqrt (* 4.0 (* y y))) (sqrt (* 4.0 (* y y))) (* (sqrt 4.0) y) (* (sqrt 4.0) y) (* 4.0 y) (* (cbrt 4.0) (* y y)) (* (sqrt 4.0) (* y y)) (* 4.0 (* y y)) (* 4.0 (* y y)) (* 4.0 (* y y)) (+ (log 4.0) (+ (log y) (log y))) (+ (log 4.0) (log (* y y))) (log (* 4.0 (* y y))) (exp (* 4.0 (* y y))) (* (* (* 4.0 4.0) 4.0) (* (* (* y y) y) (* (* y y) y))) (* (* (* 4.0 4.0) 4.0) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 4.0 (* y y))) (cbrt (* 4.0 (* y y)))) (cbrt (* 4.0 (* y y))) (* (* (* 4.0 (* y y)) (* 4.0 (* y y))) (* 4.0 (* y y))) (sqrt (* 4.0 (* y y))) (sqrt (* 4.0 (* y y))) (* (sqrt 4.0) y) (* (sqrt 4.0) y) (* 4.0 y) (* (cbrt 4.0) (* y y)) (* (sqrt 4.0) (* y y)) (* 4.0 (* y 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)) (* 4.0 (pow y 2)) (* 4.0 (pow y 2)) (* 4.0 (pow y 2)) (* 4.0 (pow y 2)) (* 4.0 (pow y 2)) 0.627 * * [simplify]: iteration 0: 107 enodes 0.667 * * [simplify]: iteration 1: 315 enodes 0.845 * * [simplify]: iteration 2: 1789 enodes 1.555 * * [simplify]: iteration complete: 5000 enodes 1.555 * * [simplify]: Extracting #0: cost 58 inf + 0 1.556 * * [simplify]: Extracting #1: cost 477 inf + 2 1.561 * * [simplify]: Extracting #2: cost 1734 inf + 110 1.567 * * [simplify]: Extracting #3: cost 1204 inf + 4643 1.579 * * [simplify]: Extracting #4: cost 276 inf + 14337 1.591 * * [simplify]: Extracting #5: cost 39 inf + 18024 1.604 * * [simplify]: Extracting #6: cost 3 inf + 18411 1.616 * * [simplify]: Extracting #7: cost 0 inf + 18430 1.634 * [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)))) (pow (/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) 3) (* (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)))) (pow (/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) 3) (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)) (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x)) (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) 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)) (+ (pow x 6) (pow (* (* 4.0 y) y) 3))) (/ (- (* x x) (* (* 4.0 y) y)) (- (pow x 4) (* (* 4.0 4.0) (pow y 4)))) (* (+ (* (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))) (pow x 4)) (+ (* 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))) (pow (- (* x x) (* (* 4.0 y) y)) 3) (sqrt (- (* x x) (* (* 4.0 y) y))) (sqrt (- (* x x) (* (* 4.0 y) y))) (- (pow x 6) (pow (* (* 4.0 y) y) 3)) (+ (* (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))) (pow x 4)) (* (* y (- 4.0)) y) (- (pow x 4) (* (* 4.0 4.0) (pow y 4))) (+ (* x x) (* (* 4.0 y) y)) (* (* y (- 4.0)) y) (* (* 4.0 y) y) (* (* 4.0 y) y) (log (* (* 4.0 y) y)) (log (* (* 4.0 y) y)) (log (* (* 4.0 y) y)) (pow (exp 4.0) (* y y)) (pow (* (* 4.0 y) y) 3) (pow (* (* 4.0 y) y) 3) (* (cbrt (* (* 4.0 y) y)) (cbrt (* (* 4.0 y) y))) (cbrt (* (* 4.0 y) y)) (pow (* (* 4.0 y) y) 3) (sqrt (* (* 4.0 y) y)) (sqrt (* (* 4.0 y) y)) (* (sqrt 4.0) y) (* (sqrt 4.0) y) (* 4.0 y) (* (* (cbrt 4.0) y) y) (* (sqrt 4.0) (* y y)) (* (* 4.0 y) y) (* (* 4.0 y) y) (* (* 4.0 y) y) (log (* (* 4.0 y) y)) (log (* (* 4.0 y) y)) (log (* (* 4.0 y) y)) (pow (exp 4.0) (* y y)) (pow (* (* 4.0 y) y) 3) (pow (* (* 4.0 y) y) 3) (* (cbrt (* (* 4.0 y) y)) (cbrt (* (* 4.0 y) y))) (cbrt (* (* 4.0 y) y)) (pow (* (* 4.0 y) y) 3) (sqrt (* (* 4.0 y) y)) (sqrt (* (* 4.0 y) y)) (* (sqrt 4.0) y) (* (sqrt 4.0) y) (* 4.0 y) (* (* (cbrt 4.0) y) y) (* (sqrt 4.0) (* y y)) (* (* 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)) (* (* 4.0 y) y) (* (* 4.0 y) y) (* (* 4.0 y) y) (* (* 4.0 y) y) (* (* 4.0 y) y) (* (* 4.0 y) y) 1.635 * * * [progress]: adding candidates to table 2.022 * * [progress]: iteration 2 / 4 2.022 * * * [progress]: picking best candidate 2.031 * * * * [pick]: Picked # 2.032 * * * [progress]: localizing error 2.049 * * * [progress]: generating rewritten candidates 2.049 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.086 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.127 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.167 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.184 * * * [progress]: generating series expansions 2.184 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.185 * [backup-simplify]: Simplify (/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 2.185 * [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 2.185 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 2.185 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 2.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.185 * [taylor]: Taking taylor expansion of x in y 2.185 * [backup-simplify]: Simplify x into x 2.185 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.185 * [taylor]: Taking taylor expansion of 4.0 in y 2.185 * [backup-simplify]: Simplify 4.0 into 4.0 2.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.186 * [taylor]: Taking taylor expansion of y in y 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.186 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.186 * [taylor]: Taking taylor expansion of 4.0 in y 2.186 * [backup-simplify]: Simplify 4.0 into 4.0 2.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.186 * [taylor]: Taking taylor expansion of y in y 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.186 * [taylor]: Taking taylor expansion of x in y 2.186 * [backup-simplify]: Simplify x into x 2.186 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.186 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.186 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.187 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.187 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.187 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.187 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 2.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.187 * [taylor]: Taking taylor expansion of x in x 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.187 * [taylor]: Taking taylor expansion of 4.0 in x 2.187 * [backup-simplify]: Simplify 4.0 into 4.0 2.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.187 * [taylor]: Taking taylor expansion of y in x 2.187 * [backup-simplify]: Simplify y into y 2.187 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.187 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.187 * [taylor]: Taking taylor expansion of 4.0 in x 2.187 * [backup-simplify]: Simplify 4.0 into 4.0 2.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.187 * [taylor]: Taking taylor expansion of y in x 2.187 * [backup-simplify]: Simplify y into y 2.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.188 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.188 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 2.188 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 2.188 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.189 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.189 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.189 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 2.189 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.189 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 2.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.189 * [taylor]: Taking taylor expansion of 4.0 in x 2.190 * [backup-simplify]: Simplify 4.0 into 4.0 2.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.190 * [taylor]: Taking taylor expansion of y in x 2.190 * [backup-simplify]: Simplify y into y 2.190 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.190 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.190 * [taylor]: Taking taylor expansion of 4.0 in x 2.190 * [backup-simplify]: Simplify 4.0 into 4.0 2.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.190 * [taylor]: Taking taylor expansion of y in x 2.190 * [backup-simplify]: Simplify y into y 2.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.190 * [taylor]: Taking taylor expansion of x in x 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 1 into 1 2.190 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.190 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.190 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 2.191 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 2.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.191 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.191 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.191 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 2.191 * [taylor]: Taking taylor expansion of -1.0 in y 2.192 * [backup-simplify]: Simplify -1.0 into -1.0 2.192 * [backup-simplify]: Simplify -1.0 into -1.0 2.192 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.193 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.193 * [backup-simplify]: Simplify (- 0) into 0 2.194 * [backup-simplify]: Simplify (+ 0 0) into 0 2.194 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.194 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.195 * [backup-simplify]: Simplify (+ 0 0) into 0 2.195 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 2.195 * [taylor]: Taking taylor expansion of 0 in y 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (* 1 1) into 1 2.196 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.197 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.197 * [backup-simplify]: Simplify (- 0) into 0 2.198 * [backup-simplify]: Simplify (+ 1 0) into 1 2.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.200 * [backup-simplify]: Simplify (* 1 1) into 1 2.200 * [backup-simplify]: Simplify (+ 0 1) into 1 2.201 * [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))) 2.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 2.201 * [taylor]: Taking taylor expansion of 0.5 in y 2.201 * [backup-simplify]: Simplify 0.5 into 0.5 2.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.202 * [taylor]: Taking taylor expansion of y in y 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (* 1 1) into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.211 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.213 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.213 * [backup-simplify]: Simplify (- 0) into 0 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.215 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [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 2.217 * [taylor]: Taking taylor expansion of 0 in y 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify -1.0 into -1.0 2.217 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 2.217 * [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 2.217 * [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 2.217 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.217 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.217 * [taylor]: Taking taylor expansion of x in y 2.217 * [backup-simplify]: Simplify x into x 2.217 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.217 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.217 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.217 * [taylor]: Taking taylor expansion of 4.0 in y 2.217 * [backup-simplify]: Simplify 4.0 into 4.0 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.217 * [taylor]: Taking taylor expansion of y in y 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (* 1 1) into 1 2.218 * [backup-simplify]: Simplify (/ 1 1) into 1 2.218 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.218 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.218 * [taylor]: Taking taylor expansion of 4.0 in y 2.218 * [backup-simplify]: Simplify 4.0 into 4.0 2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.218 * [taylor]: Taking taylor expansion of y in y 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (* 1 1) into 1 2.218 * [backup-simplify]: Simplify (/ 1 1) into 1 2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.218 * [taylor]: Taking taylor expansion of x in y 2.219 * [backup-simplify]: Simplify x into x 2.219 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.219 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.219 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.219 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.220 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 2.220 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.220 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.221 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 2.221 * [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 2.221 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.221 * [taylor]: Taking taylor expansion of 4.0 in x 2.221 * [backup-simplify]: Simplify 4.0 into 4.0 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.221 * [taylor]: Taking taylor expansion of y in x 2.221 * [backup-simplify]: Simplify y into y 2.221 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.222 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.222 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.222 * [taylor]: Taking taylor expansion of 4.0 in x 2.222 * [backup-simplify]: Simplify 4.0 into 4.0 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.222 * [taylor]: Taking taylor expansion of y in x 2.222 * [backup-simplify]: Simplify y into y 2.222 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.222 * [taylor]: Taking taylor expansion of x in x 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (* 1 1) into 1 2.222 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [backup-simplify]: Simplify (+ 1 0) into 1 2.223 * [backup-simplify]: Simplify (+ 0 1) into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [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 2.223 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (* 1 1) into 1 2.224 * [backup-simplify]: Simplify (/ 1 1) into 1 2.224 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.224 * [taylor]: Taking taylor expansion of 4.0 in x 2.224 * [backup-simplify]: Simplify 4.0 into 4.0 2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.224 * [taylor]: Taking taylor expansion of y in x 2.224 * [backup-simplify]: Simplify y into y 2.224 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.224 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.224 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.224 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.224 * [taylor]: Taking taylor expansion of 4.0 in x 2.224 * [backup-simplify]: Simplify 4.0 into 4.0 2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.224 * [taylor]: Taking taylor expansion of y in x 2.224 * [backup-simplify]: Simplify y into y 2.224 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.224 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (* 1 1) into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [backup-simplify]: Simplify (+ 1 0) into 1 2.225 * [backup-simplify]: Simplify (+ 0 1) into 1 2.226 * [backup-simplify]: Simplify (/ 1 1) into 1 2.226 * [taylor]: Taking taylor expansion of 1 in y 2.226 * [backup-simplify]: Simplify 1 into 1 2.226 * [backup-simplify]: Simplify 1 into 1 2.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.228 * [taylor]: Taking taylor expansion of 0 in y 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.230 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.230 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.230 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.232 * [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)))) 2.232 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.232 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.232 * [taylor]: Taking taylor expansion of 8.0 in y 2.232 * [backup-simplify]: Simplify 8.0 into 8.0 2.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.232 * [taylor]: Taking taylor expansion of y in y 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (* 1 1) into 1 2.232 * [backup-simplify]: Simplify (/ 1 1) into 1 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.235 * [backup-simplify]: Simplify (- 0) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.236 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.237 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.237 * [backup-simplify]: Simplify (- 0) into 0 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.237 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.238 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [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 2.240 * [taylor]: Taking taylor expansion of 0 in y 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 2.241 * [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 2.241 * [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 2.241 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.241 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.241 * [taylor]: Taking taylor expansion of x in y 2.241 * [backup-simplify]: Simplify x into x 2.241 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.241 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.241 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.241 * [taylor]: Taking taylor expansion of 4.0 in y 2.241 * [backup-simplify]: Simplify 4.0 into 4.0 2.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.241 * [taylor]: Taking taylor expansion of y in y 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (* 1 1) into 1 2.242 * [backup-simplify]: Simplify (/ 1 1) into 1 2.242 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.242 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.242 * [taylor]: Taking taylor expansion of 4.0 in y 2.242 * [backup-simplify]: Simplify 4.0 into 4.0 2.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.242 * [taylor]: Taking taylor expansion of y in y 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 1 into 1 2.242 * [backup-simplify]: Simplify (* 1 1) into 1 2.242 * [backup-simplify]: Simplify (/ 1 1) into 1 2.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.242 * [taylor]: Taking taylor expansion of x in y 2.242 * [backup-simplify]: Simplify x into x 2.242 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.242 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.243 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.243 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.243 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 2.244 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.244 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.245 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 2.245 * [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 2.245 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.245 * [taylor]: Taking taylor expansion of x in x 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify (* 1 1) into 1 2.246 * [backup-simplify]: Simplify (/ 1 1) into 1 2.246 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.246 * [taylor]: Taking taylor expansion of 4.0 in x 2.246 * [backup-simplify]: Simplify 4.0 into 4.0 2.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.247 * [taylor]: Taking taylor expansion of y in x 2.247 * [backup-simplify]: Simplify y into y 2.247 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.247 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.247 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.247 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.247 * [taylor]: Taking taylor expansion of 4.0 in x 2.247 * [backup-simplify]: Simplify 4.0 into 4.0 2.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.247 * [taylor]: Taking taylor expansion of y in x 2.247 * [backup-simplify]: Simplify y into y 2.247 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.247 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.247 * [taylor]: Taking taylor expansion of x in x 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (* 1 1) into 1 2.248 * [backup-simplify]: Simplify (/ 1 1) into 1 2.248 * [backup-simplify]: Simplify (+ 1 0) into 1 2.249 * [backup-simplify]: Simplify (+ 0 1) into 1 2.249 * [backup-simplify]: Simplify (/ 1 1) into 1 2.249 * [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 2.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.249 * [taylor]: Taking taylor expansion of x in x 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (* 1 1) into 1 2.250 * [backup-simplify]: Simplify (/ 1 1) into 1 2.250 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.250 * [taylor]: Taking taylor expansion of 4.0 in x 2.250 * [backup-simplify]: Simplify 4.0 into 4.0 2.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.250 * [taylor]: Taking taylor expansion of y in x 2.250 * [backup-simplify]: Simplify y into y 2.250 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.251 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.251 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.251 * [taylor]: Taking taylor expansion of 4.0 in x 2.251 * [backup-simplify]: Simplify 4.0 into 4.0 2.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.251 * [taylor]: Taking taylor expansion of y in x 2.251 * [backup-simplify]: Simplify y into y 2.251 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.251 * [taylor]: Taking taylor expansion of x in x 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [backup-simplify]: Simplify (* 1 1) into 1 2.252 * [backup-simplify]: Simplify (/ 1 1) into 1 2.252 * [backup-simplify]: Simplify (+ 1 0) into 1 2.253 * [backup-simplify]: Simplify (+ 0 1) into 1 2.253 * [backup-simplify]: Simplify (/ 1 1) into 1 2.253 * [taylor]: Taking taylor expansion of 1 in y 2.253 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify 1 into 1 2.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.258 * [taylor]: Taking taylor expansion of 0 in y 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.260 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.261 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.261 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.264 * [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)))) 2.264 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.264 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.264 * [taylor]: Taking taylor expansion of 8.0 in y 2.264 * [backup-simplify]: Simplify 8.0 into 8.0 2.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.264 * [taylor]: Taking taylor expansion of y in y 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (* 1 1) into 1 2.265 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.269 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.269 * [backup-simplify]: Simplify (- 0) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.272 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.273 * [backup-simplify]: Simplify (- 0) into 0 2.273 * [backup-simplify]: Simplify (+ 0 0) into 0 2.273 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.274 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (+ 0 0) into 0 2.277 * [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 2.277 * [taylor]: Taking taylor expansion of 0 in y 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.277 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.277 * [backup-simplify]: Simplify (/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 2.277 * [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 2.277 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 2.277 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 2.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.278 * [taylor]: Taking taylor expansion of x in y 2.278 * [backup-simplify]: Simplify x into x 2.278 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.278 * [taylor]: Taking taylor expansion of 4.0 in y 2.278 * [backup-simplify]: Simplify 4.0 into 4.0 2.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.278 * [taylor]: Taking taylor expansion of y in y 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.278 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.278 * [taylor]: Taking taylor expansion of 4.0 in y 2.278 * [backup-simplify]: Simplify 4.0 into 4.0 2.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.278 * [taylor]: Taking taylor expansion of y in y 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.278 * [taylor]: Taking taylor expansion of x in y 2.278 * [backup-simplify]: Simplify x into x 2.278 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.278 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.278 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.278 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.278 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.278 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.278 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 2.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.278 * [taylor]: Taking taylor expansion of 4.0 in x 2.278 * [backup-simplify]: Simplify 4.0 into 4.0 2.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.278 * [taylor]: Taking taylor expansion of y in x 2.278 * [backup-simplify]: Simplify y into y 2.278 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.278 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.278 * [taylor]: Taking taylor expansion of 4.0 in x 2.279 * [backup-simplify]: Simplify 4.0 into 4.0 2.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.279 * [taylor]: Taking taylor expansion of y in x 2.279 * [backup-simplify]: Simplify y into y 2.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.279 * [taylor]: Taking taylor expansion of x in x 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.279 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.279 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 2.279 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 2.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.279 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.279 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.279 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 2.279 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.279 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 2.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.280 * [taylor]: Taking taylor expansion of x in x 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.280 * [taylor]: Taking taylor expansion of 4.0 in x 2.280 * [backup-simplify]: Simplify 4.0 into 4.0 2.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.280 * [taylor]: Taking taylor expansion of y in x 2.280 * [backup-simplify]: Simplify y into y 2.280 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.280 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.280 * [taylor]: Taking taylor expansion of 4.0 in x 2.280 * [backup-simplify]: Simplify 4.0 into 4.0 2.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.280 * [taylor]: Taking taylor expansion of y in x 2.280 * [backup-simplify]: Simplify y into y 2.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.280 * [taylor]: Taking taylor expansion of x in x 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.280 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.280 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 2.280 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 2.280 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.280 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.280 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.281 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 2.281 * [taylor]: Taking taylor expansion of -1.0 in y 2.281 * [backup-simplify]: Simplify -1.0 into -1.0 2.281 * [backup-simplify]: Simplify -1.0 into -1.0 2.281 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.281 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.281 * [backup-simplify]: Simplify (- 0) into 0 2.282 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.282 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.282 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 2.283 * [taylor]: Taking taylor expansion of 0 in y 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (* 1 1) into 1 2.283 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.284 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.284 * [backup-simplify]: Simplify (- 0) into 0 2.284 * [backup-simplify]: Simplify (+ 1 0) into 1 2.284 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.285 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.285 * [backup-simplify]: Simplify (* 1 1) into 1 2.286 * [backup-simplify]: Simplify (+ 0 1) into 1 2.286 * [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))) 2.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 2.286 * [taylor]: Taking taylor expansion of 0.5 in y 2.286 * [backup-simplify]: Simplify 0.5 into 0.5 2.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.286 * [taylor]: Taking taylor expansion of y in y 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (* 1 1) into 1 2.287 * [backup-simplify]: Simplify (/ 1 1) into 1 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.290 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.291 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.291 * [backup-simplify]: Simplify (- 0) into 0 2.291 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.294 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [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 2.294 * [taylor]: Taking taylor expansion of 0 in y 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify -1.0 into -1.0 2.294 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 2.295 * [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 2.295 * [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 2.295 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.295 * [taylor]: Taking taylor expansion of x in y 2.295 * [backup-simplify]: Simplify x into x 2.295 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.295 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.295 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.295 * [taylor]: Taking taylor expansion of 4.0 in y 2.295 * [backup-simplify]: Simplify 4.0 into 4.0 2.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.295 * [taylor]: Taking taylor expansion of y in y 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (* 1 1) into 1 2.295 * [backup-simplify]: Simplify (/ 1 1) into 1 2.295 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.295 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.295 * [taylor]: Taking taylor expansion of 4.0 in y 2.295 * [backup-simplify]: Simplify 4.0 into 4.0 2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.296 * [taylor]: Taking taylor expansion of y in y 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [backup-simplify]: Simplify (* 1 1) into 1 2.296 * [backup-simplify]: Simplify (/ 1 1) into 1 2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.296 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.296 * [taylor]: Taking taylor expansion of x in y 2.296 * [backup-simplify]: Simplify x into x 2.296 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.296 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.297 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.297 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.298 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 2.298 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.298 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.299 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 2.299 * [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 2.299 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.299 * [taylor]: Taking taylor expansion of x in x 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (* 1 1) into 1 2.299 * [backup-simplify]: Simplify (/ 1 1) into 1 2.299 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.299 * [taylor]: Taking taylor expansion of 4.0 in x 2.299 * [backup-simplify]: Simplify 4.0 into 4.0 2.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.299 * [taylor]: Taking taylor expansion of y in x 2.299 * [backup-simplify]: Simplify y into y 2.299 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.299 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.299 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.299 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.300 * [taylor]: Taking taylor expansion of 4.0 in x 2.300 * [backup-simplify]: Simplify 4.0 into 4.0 2.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.300 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.300 * [taylor]: Taking taylor expansion of y in x 2.300 * [backup-simplify]: Simplify y into y 2.300 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.300 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.300 * [taylor]: Taking taylor expansion of x in x 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (* 1 1) into 1 2.300 * [backup-simplify]: Simplify (/ 1 1) into 1 2.301 * [backup-simplify]: Simplify (+ 1 0) into 1 2.301 * [backup-simplify]: Simplify (+ 0 1) into 1 2.301 * [backup-simplify]: Simplify (/ 1 1) into 1 2.301 * [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 2.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.301 * [taylor]: Taking taylor expansion of x in x 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [backup-simplify]: Simplify (* 1 1) into 1 2.302 * [backup-simplify]: Simplify (/ 1 1) into 1 2.302 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.302 * [taylor]: Taking taylor expansion of 4.0 in x 2.302 * [backup-simplify]: Simplify 4.0 into 4.0 2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.302 * [taylor]: Taking taylor expansion of y in x 2.302 * [backup-simplify]: Simplify y into y 2.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.302 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.302 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.302 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.302 * [taylor]: Taking taylor expansion of 4.0 in x 2.302 * [backup-simplify]: Simplify 4.0 into 4.0 2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.302 * [taylor]: Taking taylor expansion of y in x 2.302 * [backup-simplify]: Simplify y into y 2.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.302 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.302 * [taylor]: Taking taylor expansion of x in x 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [backup-simplify]: Simplify (* 1 1) into 1 2.303 * [backup-simplify]: Simplify (/ 1 1) into 1 2.303 * [backup-simplify]: Simplify (+ 1 0) into 1 2.303 * [backup-simplify]: Simplify (+ 0 1) into 1 2.304 * [backup-simplify]: Simplify (/ 1 1) into 1 2.304 * [taylor]: Taking taylor expansion of 1 in y 2.304 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.308 * [taylor]: Taking taylor expansion of 0 in y 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.310 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.311 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.311 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.314 * [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)))) 2.314 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.314 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.314 * [taylor]: Taking taylor expansion of 8.0 in y 2.314 * [backup-simplify]: Simplify 8.0 into 8.0 2.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.314 * [taylor]: Taking taylor expansion of y in y 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify (/ 1 1) into 1 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.320 * [backup-simplify]: Simplify (- 0) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.323 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.325 * [backup-simplify]: Simplify (- 0) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.326 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.327 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [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 2.331 * [taylor]: Taking taylor expansion of 0 in y 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 2.332 * [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 2.332 * [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 2.332 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.332 * [taylor]: Taking taylor expansion of x in y 2.332 * [backup-simplify]: Simplify x into x 2.332 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.332 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.332 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.332 * [taylor]: Taking taylor expansion of 4.0 in y 2.332 * [backup-simplify]: Simplify 4.0 into 4.0 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.332 * [taylor]: Taking taylor expansion of y in y 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (* 1 1) into 1 2.333 * [backup-simplify]: Simplify (/ 1 1) into 1 2.333 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.333 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.333 * [taylor]: Taking taylor expansion of 4.0 in y 2.333 * [backup-simplify]: Simplify 4.0 into 4.0 2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.333 * [taylor]: Taking taylor expansion of y in y 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (* 1 1) into 1 2.334 * [backup-simplify]: Simplify (/ 1 1) into 1 2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.334 * [taylor]: Taking taylor expansion of x in y 2.334 * [backup-simplify]: Simplify x into x 2.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.335 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.335 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.335 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.336 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 2.337 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.337 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.338 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 2.338 * [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 2.338 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.338 * [taylor]: Taking taylor expansion of x in x 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (* 1 1) into 1 2.339 * [backup-simplify]: Simplify (/ 1 1) into 1 2.339 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.339 * [taylor]: Taking taylor expansion of 4.0 in x 2.339 * [backup-simplify]: Simplify 4.0 into 4.0 2.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.339 * [taylor]: Taking taylor expansion of y in x 2.339 * [backup-simplify]: Simplify y into y 2.339 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.339 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.339 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.339 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.339 * [taylor]: Taking taylor expansion of 4.0 in x 2.340 * [backup-simplify]: Simplify 4.0 into 4.0 2.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.340 * [taylor]: Taking taylor expansion of y in x 2.340 * [backup-simplify]: Simplify y into y 2.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.340 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (* 1 1) into 1 2.340 * [backup-simplify]: Simplify (/ 1 1) into 1 2.341 * [backup-simplify]: Simplify (+ 1 0) into 1 2.341 * [backup-simplify]: Simplify (+ 0 1) into 1 2.341 * [backup-simplify]: Simplify (/ 1 1) into 1 2.341 * [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 x 2.341 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (* 1 1) into 1 2.342 * [backup-simplify]: Simplify (/ 1 1) into 1 2.342 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.342 * [taylor]: Taking taylor expansion of 4.0 in x 2.342 * [backup-simplify]: Simplify 4.0 into 4.0 2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.342 * [taylor]: Taking taylor expansion of y in x 2.342 * [backup-simplify]: Simplify y into y 2.342 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.342 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.342 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.342 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.342 * [taylor]: Taking taylor expansion of 4.0 in x 2.342 * [backup-simplify]: Simplify 4.0 into 4.0 2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.342 * [taylor]: Taking taylor expansion of y in x 2.342 * [backup-simplify]: Simplify y into y 2.342 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.342 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.342 * [taylor]: Taking taylor expansion of x in x 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (* 1 1) into 1 2.343 * [backup-simplify]: Simplify (/ 1 1) into 1 2.343 * [backup-simplify]: Simplify (+ 1 0) into 1 2.343 * [backup-simplify]: Simplify (+ 0 1) into 1 2.343 * [backup-simplify]: Simplify (/ 1 1) into 1 2.344 * [taylor]: Taking taylor expansion of 1 in y 2.344 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.346 * [taylor]: Taking taylor expansion of 0 in y 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.348 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.348 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.348 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.350 * [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)))) 2.350 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.350 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.350 * [taylor]: Taking taylor expansion of 8.0 in y 2.350 * [backup-simplify]: Simplify 8.0 into 8.0 2.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.350 * [taylor]: Taking taylor expansion of y in y 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (* 1 1) into 1 2.351 * [backup-simplify]: Simplify (/ 1 1) into 1 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.353 * [backup-simplify]: Simplify (- 0) into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.355 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.356 * [backup-simplify]: Simplify (- 0) into 0 2.356 * [backup-simplify]: Simplify (+ 0 0) into 0 2.356 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.356 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (+ 0 0) into 0 2.359 * [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 2.359 * [taylor]: Taking taylor expansion of 0 in y 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.359 * [backup-simplify]: Simplify (/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 2.359 * [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 2.359 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 2.359 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 2.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.359 * [taylor]: Taking taylor expansion of x in y 2.359 * [backup-simplify]: Simplify x into x 2.359 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.359 * [taylor]: Taking taylor expansion of 4.0 in y 2.359 * [backup-simplify]: Simplify 4.0 into 4.0 2.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.360 * [taylor]: Taking taylor expansion of y in y 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.360 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.360 * [taylor]: Taking taylor expansion of 4.0 in y 2.360 * [backup-simplify]: Simplify 4.0 into 4.0 2.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.360 * [taylor]: Taking taylor expansion of y in y 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.360 * [taylor]: Taking taylor expansion of x in y 2.360 * [backup-simplify]: Simplify x into x 2.360 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.360 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.360 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.360 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.360 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.360 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.360 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 2.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.360 * [taylor]: Taking taylor expansion of x in x 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.360 * [taylor]: Taking taylor expansion of 4.0 in x 2.360 * [backup-simplify]: Simplify 4.0 into 4.0 2.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.360 * [taylor]: Taking taylor expansion of y in x 2.360 * [backup-simplify]: Simplify y into y 2.360 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.360 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.360 * [taylor]: Taking taylor expansion of 4.0 in x 2.360 * [backup-simplify]: Simplify 4.0 into 4.0 2.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.360 * [taylor]: Taking taylor expansion of y in x 2.360 * [backup-simplify]: Simplify y into y 2.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.361 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.361 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 2.361 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 2.361 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.361 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.361 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.361 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 2.361 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.361 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 2.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.361 * [taylor]: Taking taylor expansion of 4.0 in x 2.361 * [backup-simplify]: Simplify 4.0 into 4.0 2.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.362 * [taylor]: Taking taylor expansion of y in x 2.362 * [backup-simplify]: Simplify y into y 2.362 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.362 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.362 * [taylor]: Taking taylor expansion of 4.0 in x 2.362 * [backup-simplify]: Simplify 4.0 into 4.0 2.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.362 * [taylor]: Taking taylor expansion of y in x 2.362 * [backup-simplify]: Simplify y into y 2.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.362 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.362 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 2.362 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 2.362 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.362 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.362 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.363 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 2.363 * [taylor]: Taking taylor expansion of -1.0 in y 2.363 * [backup-simplify]: Simplify -1.0 into -1.0 2.363 * [backup-simplify]: Simplify -1.0 into -1.0 2.363 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.363 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.363 * [backup-simplify]: Simplify (- 0) into 0 2.364 * [backup-simplify]: Simplify (+ 0 0) into 0 2.364 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.364 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.364 * [backup-simplify]: Simplify (+ 0 0) into 0 2.364 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 2.364 * [taylor]: Taking taylor expansion of 0 in y 2.364 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (* 1 1) into 1 2.365 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.366 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.366 * [backup-simplify]: Simplify (- 0) into 0 2.366 * [backup-simplify]: Simplify (+ 1 0) into 1 2.366 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.367 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.367 * [backup-simplify]: Simplify (* 1 1) into 1 2.368 * [backup-simplify]: Simplify (+ 0 1) into 1 2.368 * [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))) 2.368 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 2.368 * [taylor]: Taking taylor expansion of 0.5 in y 2.368 * [backup-simplify]: Simplify 0.5 into 0.5 2.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.368 * [taylor]: Taking taylor expansion of y in y 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (* 1 1) into 1 2.369 * [backup-simplify]: Simplify (/ 1 1) into 1 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.376 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.377 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.378 * [backup-simplify]: Simplify (- 0) into 0 2.378 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.380 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [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 2.382 * [taylor]: Taking taylor expansion of 0 in y 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify -1.0 into -1.0 2.383 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 2.383 * [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 2.383 * [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 2.383 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.383 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.383 * [taylor]: Taking taylor expansion of x in y 2.383 * [backup-simplify]: Simplify x into x 2.383 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.384 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.384 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.384 * [taylor]: Taking taylor expansion of 4.0 in y 2.384 * [backup-simplify]: Simplify 4.0 into 4.0 2.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.384 * [taylor]: Taking taylor expansion of y in y 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (* 1 1) into 1 2.385 * [backup-simplify]: Simplify (/ 1 1) into 1 2.385 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.385 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.385 * [taylor]: Taking taylor expansion of 4.0 in y 2.385 * [backup-simplify]: Simplify 4.0 into 4.0 2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.385 * [taylor]: Taking taylor expansion of y in y 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 1 into 1 2.385 * [backup-simplify]: Simplify (* 1 1) into 1 2.386 * [backup-simplify]: Simplify (/ 1 1) into 1 2.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.386 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.386 * [taylor]: Taking taylor expansion of x in y 2.386 * [backup-simplify]: Simplify x into x 2.386 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.386 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.386 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.387 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.388 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 2.388 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.388 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.389 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 2.389 * [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 2.389 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.389 * [taylor]: Taking taylor expansion of x in x 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (* 1 1) into 1 2.390 * [backup-simplify]: Simplify (/ 1 1) into 1 2.390 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.390 * [taylor]: Taking taylor expansion of 4.0 in x 2.390 * [backup-simplify]: Simplify 4.0 into 4.0 2.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.390 * [taylor]: Taking taylor expansion of y in x 2.390 * [backup-simplify]: Simplify y into y 2.390 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.391 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.391 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.391 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.391 * [taylor]: Taking taylor expansion of 4.0 in x 2.391 * [backup-simplify]: Simplify 4.0 into 4.0 2.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.391 * [taylor]: Taking taylor expansion of y in x 2.391 * [backup-simplify]: Simplify y into y 2.391 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.391 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.391 * [taylor]: Taking taylor expansion of x in x 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (* 1 1) into 1 2.392 * [backup-simplify]: Simplify (/ 1 1) into 1 2.392 * [backup-simplify]: Simplify (+ 1 0) into 1 2.393 * [backup-simplify]: Simplify (+ 0 1) into 1 2.393 * [backup-simplify]: Simplify (/ 1 1) into 1 2.393 * [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 2.393 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.393 * [taylor]: Taking taylor expansion of x in x 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (* 1 1) into 1 2.394 * [backup-simplify]: Simplify (/ 1 1) into 1 2.394 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.394 * [taylor]: Taking taylor expansion of 4.0 in x 2.394 * [backup-simplify]: Simplify 4.0 into 4.0 2.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.394 * [taylor]: Taking taylor expansion of y in x 2.394 * [backup-simplify]: Simplify y into y 2.394 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.394 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.394 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.394 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.395 * [taylor]: Taking taylor expansion of 4.0 in x 2.395 * [backup-simplify]: Simplify 4.0 into 4.0 2.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.395 * [taylor]: Taking taylor expansion of y in x 2.395 * [backup-simplify]: Simplify y into y 2.395 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.395 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (* 1 1) into 1 2.396 * [backup-simplify]: Simplify (/ 1 1) into 1 2.396 * [backup-simplify]: Simplify (+ 1 0) into 1 2.397 * [backup-simplify]: Simplify (+ 0 1) into 1 2.397 * [backup-simplify]: Simplify (/ 1 1) into 1 2.397 * [taylor]: Taking taylor expansion of 1 in y 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (+ 0 0) into 0 2.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.401 * [taylor]: Taking taylor expansion of 0 in y 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.402 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.402 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.402 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.402 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.403 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.404 * [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)))) 2.404 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.404 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.404 * [taylor]: Taking taylor expansion of 8.0 in y 2.404 * [backup-simplify]: Simplify 8.0 into 8.0 2.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.404 * [taylor]: Taking taylor expansion of y in y 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 1 into 1 2.404 * [backup-simplify]: Simplify (* 1 1) into 1 2.405 * [backup-simplify]: Simplify (/ 1 1) into 1 2.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.407 * [backup-simplify]: Simplify (- 0) into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.409 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.409 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.410 * [backup-simplify]: Simplify (- 0) into 0 2.410 * [backup-simplify]: Simplify (+ 0 0) into 0 2.410 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.410 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (+ 0 0) into 0 2.413 * [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 2.413 * [taylor]: Taking taylor expansion of 0 in y 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 2.413 * [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 2.413 * [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 2.413 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.413 * [taylor]: Taking taylor expansion of x in y 2.413 * [backup-simplify]: Simplify x into x 2.413 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.414 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.414 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.414 * [taylor]: Taking taylor expansion of 4.0 in y 2.414 * [backup-simplify]: Simplify 4.0 into 4.0 2.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.414 * [taylor]: Taking taylor expansion of y in y 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 1 into 1 2.414 * [backup-simplify]: Simplify (* 1 1) into 1 2.414 * [backup-simplify]: Simplify (/ 1 1) into 1 2.414 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.414 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.414 * [taylor]: Taking taylor expansion of 4.0 in y 2.414 * [backup-simplify]: Simplify 4.0 into 4.0 2.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.414 * [taylor]: Taking taylor expansion of y in y 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 1 into 1 2.415 * [backup-simplify]: Simplify (* 1 1) into 1 2.415 * [backup-simplify]: Simplify (/ 1 1) into 1 2.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.415 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.415 * [taylor]: Taking taylor expansion of x in y 2.415 * [backup-simplify]: Simplify x into x 2.415 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.415 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.415 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.416 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.416 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 2.416 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.417 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.417 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 2.417 * [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 2.417 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.417 * [taylor]: Taking taylor expansion of x in x 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.418 * [backup-simplify]: Simplify (* 1 1) into 1 2.418 * [backup-simplify]: Simplify (/ 1 1) into 1 2.418 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.418 * [taylor]: Taking taylor expansion of 4.0 in x 2.418 * [backup-simplify]: Simplify 4.0 into 4.0 2.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.418 * [taylor]: Taking taylor expansion of y in x 2.418 * [backup-simplify]: Simplify y into y 2.418 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.418 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.418 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.418 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.418 * [taylor]: Taking taylor expansion of 4.0 in x 2.419 * [backup-simplify]: Simplify 4.0 into 4.0 2.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.419 * [taylor]: Taking taylor expansion of y in x 2.419 * [backup-simplify]: Simplify y into y 2.419 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.419 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 1 into 1 2.419 * [backup-simplify]: Simplify (* 1 1) into 1 2.419 * [backup-simplify]: Simplify (/ 1 1) into 1 2.420 * [backup-simplify]: Simplify (+ 1 0) into 1 2.420 * [backup-simplify]: Simplify (+ 0 1) into 1 2.420 * [backup-simplify]: Simplify (/ 1 1) into 1 2.420 * [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 2.420 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.420 * [backup-simplify]: Simplify (* 1 1) into 1 2.421 * [backup-simplify]: Simplify (/ 1 1) into 1 2.421 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.421 * [taylor]: Taking taylor expansion of 4.0 in x 2.421 * [backup-simplify]: Simplify 4.0 into 4.0 2.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.421 * [taylor]: Taking taylor expansion of y in x 2.421 * [backup-simplify]: Simplify y into y 2.421 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.421 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.421 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.421 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.421 * [taylor]: Taking taylor expansion of 4.0 in x 2.421 * [backup-simplify]: Simplify 4.0 into 4.0 2.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.421 * [taylor]: Taking taylor expansion of y in x 2.421 * [backup-simplify]: Simplify y into y 2.421 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.421 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.421 * [taylor]: Taking taylor expansion of x in x 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.422 * [backup-simplify]: Simplify (* 1 1) into 1 2.422 * [backup-simplify]: Simplify (/ 1 1) into 1 2.422 * [backup-simplify]: Simplify (+ 1 0) into 1 2.422 * [backup-simplify]: Simplify (+ 0 1) into 1 2.423 * [backup-simplify]: Simplify (/ 1 1) into 1 2.423 * [taylor]: Taking taylor expansion of 1 in y 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (+ 0 0) into 0 2.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (+ 0 0) into 0 2.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.425 * [taylor]: Taking taylor expansion of 0 in y 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.427 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.427 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.427 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.430 * [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)))) 2.430 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.430 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.430 * [taylor]: Taking taylor expansion of 8.0 in y 2.430 * [backup-simplify]: Simplify 8.0 into 8.0 2.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.430 * [taylor]: Taking taylor expansion of y in y 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (* 1 1) into 1 2.431 * [backup-simplify]: Simplify (/ 1 1) into 1 2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.435 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.436 * [backup-simplify]: Simplify (- 0) into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.438 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.439 * [backup-simplify]: Simplify (- 0) into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.440 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.441 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ 0 0) into 0 2.447 * [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 2.447 * [taylor]: Taking taylor expansion of 0 in y 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.448 * [backup-simplify]: Simplify (- (* x x) (* (* 4.0 y) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 2.448 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 2.448 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 2.448 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.448 * [taylor]: Taking taylor expansion of x in y 2.448 * [backup-simplify]: Simplify x into x 2.448 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.448 * [taylor]: Taking taylor expansion of 4.0 in y 2.448 * [backup-simplify]: Simplify 4.0 into 4.0 2.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.448 * [taylor]: Taking taylor expansion of y in y 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 2.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.448 * [taylor]: Taking taylor expansion of 4.0 in x 2.448 * [backup-simplify]: Simplify 4.0 into 4.0 2.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.448 * [taylor]: Taking taylor expansion of y in x 2.448 * [backup-simplify]: Simplify y into y 2.448 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 2.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.448 * [taylor]: Taking taylor expansion of 4.0 in x 2.448 * [backup-simplify]: Simplify 4.0 into 4.0 2.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.448 * [taylor]: Taking taylor expansion of y in x 2.448 * [backup-simplify]: Simplify y into y 2.448 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.448 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.449 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 2.449 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 2.449 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 2.449 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.449 * [taylor]: Taking taylor expansion of 4.0 in y 2.449 * [backup-simplify]: Simplify 4.0 into 4.0 2.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.449 * [taylor]: Taking taylor expansion of y in y 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.449 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.450 * [backup-simplify]: Simplify (- 0) into 0 2.450 * [backup-simplify]: Simplify (+ 0 0) into 0 2.450 * [taylor]: Taking taylor expansion of 0 in y 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.451 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.451 * [backup-simplify]: Simplify (- 0) into 0 2.451 * [backup-simplify]: Simplify (+ 1 0) into 1 2.451 * [taylor]: Taking taylor expansion of 1 in y 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify (* 1 1) into 1 2.452 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.452 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.453 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.453 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.454 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.454 * [backup-simplify]: Simplify (- 0) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.455 * [taylor]: Taking taylor expansion of 0 in y 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.456 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.457 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.458 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.458 * [backup-simplify]: Simplify (- 0) into 0 2.459 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [taylor]: Taking taylor expansion of 0 in y 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 2.459 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 2.459 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 2.459 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.459 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.459 * [taylor]: Taking taylor expansion of x in y 2.459 * [backup-simplify]: Simplify x into x 2.460 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.460 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.460 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.460 * [taylor]: Taking taylor expansion of 4.0 in y 2.460 * [backup-simplify]: Simplify 4.0 into 4.0 2.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.460 * [taylor]: Taking taylor expansion of y in y 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (* 1 1) into 1 2.460 * [backup-simplify]: Simplify (/ 1 1) into 1 2.460 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.460 * [taylor]: Taking taylor expansion of x in x 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 1 into 1 2.461 * [backup-simplify]: Simplify (* 1 1) into 1 2.461 * [backup-simplify]: Simplify (/ 1 1) into 1 2.461 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.461 * [taylor]: Taking taylor expansion of 4.0 in x 2.461 * [backup-simplify]: Simplify 4.0 into 4.0 2.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.461 * [taylor]: Taking taylor expansion of y in x 2.461 * [backup-simplify]: Simplify y into y 2.461 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.461 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.461 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.461 * [taylor]: Taking taylor expansion of x in x 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [backup-simplify]: Simplify (* 1 1) into 1 2.462 * [backup-simplify]: Simplify (/ 1 1) into 1 2.462 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.462 * [taylor]: Taking taylor expansion of 4.0 in x 2.462 * [backup-simplify]: Simplify 4.0 into 4.0 2.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.462 * [taylor]: Taking taylor expansion of y in x 2.462 * [backup-simplify]: Simplify y into y 2.462 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.462 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.462 * [backup-simplify]: Simplify (+ 1 0) into 1 2.462 * [taylor]: Taking taylor expansion of 1 in y 2.462 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.463 * [backup-simplify]: Simplify (+ 0 0) into 0 2.464 * [taylor]: Taking taylor expansion of 0 in y 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.465 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.465 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.465 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 2.465 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.465 * [taylor]: Taking taylor expansion of 4.0 in y 2.465 * [backup-simplify]: Simplify 4.0 into 4.0 2.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.466 * [taylor]: Taking taylor expansion of y in y 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify (* 1 1) into 1 2.466 * [backup-simplify]: Simplify (/ 1 1) into 1 2.466 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.467 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.467 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.469 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.469 * [backup-simplify]: Simplify (- 0) into 0 2.469 * [backup-simplify]: Simplify (+ 0 0) into 0 2.469 * [taylor]: Taking taylor expansion of 0 in y 2.469 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.470 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.471 * [backup-simplify]: Simplify (- 0) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.472 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.473 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.473 * [backup-simplify]: Simplify (- 0) into 0 2.473 * [backup-simplify]: Simplify (+ 0 0) into 0 2.473 * [taylor]: Taking taylor expansion of 0 in y 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.475 * [backup-simplify]: Simplify (- 0) into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.476 * [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))) 2.477 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 2.477 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 2.477 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.477 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.477 * [taylor]: Taking taylor expansion of x in y 2.477 * [backup-simplify]: Simplify x into x 2.477 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.477 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.477 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.477 * [taylor]: Taking taylor expansion of 4.0 in y 2.477 * [backup-simplify]: Simplify 4.0 into 4.0 2.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.477 * [taylor]: Taking taylor expansion of y in y 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (* 1 1) into 1 2.478 * [backup-simplify]: Simplify (/ 1 1) into 1 2.478 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.479 * [backup-simplify]: Simplify (* 1 1) into 1 2.479 * [backup-simplify]: Simplify (/ 1 1) into 1 2.479 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.479 * [taylor]: Taking taylor expansion of 4.0 in x 2.479 * [backup-simplify]: Simplify 4.0 into 4.0 2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.479 * [taylor]: Taking taylor expansion of y in x 2.479 * [backup-simplify]: Simplify y into y 2.479 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.480 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.480 * [taylor]: Taking taylor expansion of x in x 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 1 into 1 2.480 * [backup-simplify]: Simplify (* 1 1) into 1 2.481 * [backup-simplify]: Simplify (/ 1 1) into 1 2.481 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.481 * [taylor]: Taking taylor expansion of 4.0 in x 2.481 * [backup-simplify]: Simplify 4.0 into 4.0 2.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.481 * [taylor]: Taking taylor expansion of y in x 2.481 * [backup-simplify]: Simplify y into y 2.481 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.481 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.482 * [backup-simplify]: Simplify (+ 1 0) into 1 2.482 * [taylor]: Taking taylor expansion of 1 in y 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.483 * [backup-simplify]: Simplify (+ 0 0) into 0 2.483 * [taylor]: Taking taylor expansion of 0 in y 2.483 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.485 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.485 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.485 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 2.485 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.485 * [taylor]: Taking taylor expansion of 4.0 in y 2.485 * [backup-simplify]: Simplify 4.0 into 4.0 2.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.485 * [taylor]: Taking taylor expansion of y in y 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (* 1 1) into 1 2.486 * [backup-simplify]: Simplify (/ 1 1) into 1 2.486 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.486 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.486 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.486 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.488 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.488 * [backup-simplify]: Simplify (- 0) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.489 * [taylor]: Taking taylor expansion of 0 in y 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.490 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.490 * [backup-simplify]: Simplify (- 0) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.492 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.493 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.493 * [backup-simplify]: Simplify (- 0) into 0 2.493 * [backup-simplify]: Simplify (+ 0 0) into 0 2.493 * [taylor]: Taking taylor expansion of 0 in y 2.493 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.495 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.495 * [backup-simplify]: Simplify (- 0) into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.496 * [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))) 2.496 * * * [progress]: simplifying candidates 2.498 * [simplify]: Simplifying: (- (log (- (* x x) (* (* 4.0 y) y))) (log (+ (* 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 (/ (- (* 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2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) 2.500 * * [simplify]: iteration 0: 82 enodes 2.525 * * [simplify]: iteration 1: 237 enodes 2.667 * * [simplify]: iteration 2: 1303 enodes 3.087 * * [simplify]: iteration complete: 5002 enodes 3.087 * * [simplify]: Extracting #0: cost 47 inf + 0 3.088 * * [simplify]: Extracting #1: cost 504 inf + 2 3.092 * * [simplify]: Extracting #2: cost 1710 inf + 15 3.099 * * [simplify]: Extracting #3: cost 2012 inf + 1670 3.123 * * [simplify]: Extracting #4: cost 655 inf + 20549 3.136 * * [simplify]: Extracting #5: cost 86 inf + 32084 3.146 * * [simplify]: Extracting #6: cost 8 inf + 33410 3.153 * * [simplify]: Extracting #7: cost 0 inf + 33480 3.160 * [simplify]: Simplified to: (log (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (log (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (exp (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (pow (/ (- (pow x 2) (* (* 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(cbrt (- (pow x 2) (* (* 4.0 y) y))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (cbrt (- (pow x 2) (* (* 4.0 y) y))) (+ (pow x 2) (* (* 4.0 y) y))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (* (cbrt (+ (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y))))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (sqrt (- (pow x 2) (* (* 4.0 y) y))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (+ (pow x 2) (* (* 4.0 y) y))) (/ (/ 1 (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (- (pow x 2) (* (* 4.0 y) y)) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ 1 (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (- (pow x 2) (* (* 4.0 y) y)) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) 1 (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) (/ 1 (+ (pow x 2) (* (* 4.0 y) y))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))) (/ (- (pow x 2) (* (* 4.0 y) y)) (* (cbrt (+ (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y))))) (/ (- (pow x 2) (* (* 4.0 y) y)) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (- (pow x 2) (* (* 4.0 y) y)) (/ (+ (pow x 2) (* (* 4.0 y) y)) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (sqrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))) (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow (* (* 4.0 y) y) 3) (pow x 6))) (/ (- (pow x 2) (* (* 4.0 y) y)) (- (pow x 4) (* (* (pow y 3) 4.0) (* 4.0 y)))) (* (+ (* 4.0 (* (* y y) (+ (pow x 2) (* (* 4.0 y) y)))) (pow x 4)) (+ (pow x 2) (* (* 4.0 y) y))) (* (+ (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) (log (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (log (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (exp (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (pow (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) 3) (* (cbrt (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (cbrt (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))))) (cbrt (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (pow (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) 3) (sqrt (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (sqrt (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (- (- (pow x 2) (* (* 4.0 y) y))) (- (+ (* (* 4.0 y) y) (pow x 2))) (/ x (/ (+ (pow x 2) (* (* 4.0 y) y)) x)) (/ (* (* 4.0 y) y) (+ (pow x 2) (* (* 4.0 y) y))) (/ (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (* (cbrt (+ (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y))))) (/ (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (cbrt (- (pow x 2) (* (* 4.0 y) y))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (cbrt (- (pow x 2) (* (* 4.0 y) y))) (+ (pow x 2) (* (* 4.0 y) y))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (* (cbrt (+ (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y))))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (sqrt (- (pow x 2) (* (* 4.0 y) y))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (+ (pow x 2) (* (* 4.0 y) y))) (/ (/ 1 (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (- (pow x 2) (* (* 4.0 y) y)) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ 1 (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (- (pow x 2) (* (* 4.0 y) y)) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) 1 (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) (/ 1 (+ (pow x 2) (* (* 4.0 y) y))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))) (/ (- (pow x 2) (* (* 4.0 y) y)) (* (cbrt (+ (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y))))) (/ (- (pow x 2) (* (* 4.0 y) y)) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (- (pow x 2) (* (* 4.0 y) y)) (/ (+ (pow x 2) (* (* 4.0 y) y)) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (sqrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))) (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow (* (* 4.0 y) y) 3) (pow x 6))) (/ (- (pow x 2) (* (* 4.0 y) y)) (- (pow x 4) (* (* (pow y 3) 4.0) (* 4.0 y)))) (* (+ (* 4.0 (* (* y y) (+ (pow x 2) (* (* 4.0 y) y)))) (pow x 4)) (+ (pow x 2) (* (* 4.0 y) y))) (* (+ (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) (log (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (log (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (exp (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (pow (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) 3) (* (cbrt (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (cbrt (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))))) (cbrt (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (pow (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) 3) (sqrt (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (sqrt (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y)))) (- (- (pow x 2) (* (* 4.0 y) y))) (- (+ (* (* 4.0 y) y) (pow x 2))) (/ x (/ (+ (pow x 2) (* (* 4.0 y) y)) x)) (/ (* (* 4.0 y) y) (+ (pow x 2) (* (* 4.0 y) y))) (/ (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (* (cbrt (+ (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y))))) (/ (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (cbrt (- (pow x 2) (* (* 4.0 y) y))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (cbrt (- (pow x 2) (* (* 4.0 y) y))) (+ (pow x 2) (* (* 4.0 y) y))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (* (cbrt (+ (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y))))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (sqrt (- (pow x 2) (* (* 4.0 y) y))) (/ (sqrt (- (pow x 2) (* (* 4.0 y) y))) (+ (pow x 2) (* (* 4.0 y) y))) (/ (/ 1 (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (- (pow x 2) (* (* 4.0 y) y)) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ 1 (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (- (pow x 2) (* (* 4.0 y) y)) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) 1 (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) (/ 1 (+ (pow x 2) (* (* 4.0 y) y))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))) (/ (- (pow x 2) (* (* 4.0 y) y)) (* (cbrt (+ (pow x 2) (* (* 4.0 y) y))) (cbrt (+ (pow x 2) (* (* 4.0 y) y))))) (/ (- (pow x 2) (* (* 4.0 y) y)) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (- (pow x 2) (* (* 4.0 y) y)) (/ (+ (pow x 2) (* (* 4.0 y) y)) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (sqrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))) (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow (* (* 4.0 y) y) 3) (pow x 6))) (/ (- (pow x 2) (* (* 4.0 y) y)) (- (pow x 4) (* (* (pow y 3) 4.0) (* 4.0 y)))) (* (+ (* 4.0 (* (* y y) (+ (pow x 2) (* (* 4.0 y) y)))) (pow x 4)) (+ (pow x 2) (* (* 4.0 y) y))) (* (+ (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) (exp (- (pow x 2) (* (* 4.0 y) y))) (log (- (pow x 2) (* (* 4.0 y) y))) (exp (- (pow x 2) (* (* 4.0 y) y))) (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (cbrt (- (pow x 2) (* (* 4.0 y) y))) (pow (- (pow x 2) (* (* 4.0 y) y)) 3) (sqrt (- (pow x 2) (* (* 4.0 y) y))) (sqrt (- (pow x 2) (* (* 4.0 y) y))) (- (pow x 6) (pow (* (* 4.0 y) y) 3)) (+ (* 4.0 (* (* y y) (+ (pow x 2) (* (* 4.0 y) y)))) (pow x 4)) (* (- (* 4.0 y)) y) (- (pow x 4) (* (* (pow y 3) 4.0) (* 4.0 y))) (+ (pow x 2) (* (* 4.0 y) y)) (* (- (* 4.0 y)) y) -1.0 1 1 -1.0 1 1 -1.0 1 1 (- (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y)) 3.161 * * * [progress]: adding candidates to table 4.052 * * [progress]: iteration 3 / 4 4.052 * * * [progress]: picking best candidate 4.060 * * * * [pick]: Picked # 4.061 * * * [progress]: localizing error 4.093 * * * [progress]: generating rewritten candidates 4.093 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 4.119 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 4.141 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 4.182 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 4.200 * * * [progress]: generating series expansions 4.200 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 4.200 * [backup-simplify]: Simplify (/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 4.200 * [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 4.200 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.200 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.200 * [taylor]: Taking taylor expansion of x in y 4.200 * [backup-simplify]: Simplify x into x 4.201 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.201 * [taylor]: Taking taylor expansion of 4.0 in y 4.201 * [backup-simplify]: Simplify 4.0 into 4.0 4.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.201 * [taylor]: Taking taylor expansion of y in y 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.201 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.201 * [taylor]: Taking taylor expansion of 4.0 in y 4.201 * [backup-simplify]: Simplify 4.0 into 4.0 4.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.201 * [taylor]: Taking taylor expansion of y in y 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.201 * [taylor]: Taking taylor expansion of x in y 4.201 * [backup-simplify]: Simplify x into x 4.201 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.201 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.201 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.201 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.202 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.202 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.202 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.202 * [taylor]: Taking taylor expansion of x in x 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.202 * [taylor]: Taking taylor expansion of 4.0 in x 4.202 * [backup-simplify]: Simplify 4.0 into 4.0 4.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.202 * [taylor]: Taking taylor expansion of y in x 4.202 * [backup-simplify]: Simplify y into y 4.202 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.202 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.202 * [taylor]: Taking taylor expansion of 4.0 in x 4.202 * [backup-simplify]: Simplify 4.0 into 4.0 4.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.202 * [taylor]: Taking taylor expansion of y in x 4.202 * [backup-simplify]: Simplify y into y 4.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.202 * [taylor]: Taking taylor expansion of x in x 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.203 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.203 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.203 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.203 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.203 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.203 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.204 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.204 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.204 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.204 * [taylor]: Taking taylor expansion of x in x 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.204 * [taylor]: Taking taylor expansion of 4.0 in x 4.204 * [backup-simplify]: Simplify 4.0 into 4.0 4.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.204 * [taylor]: Taking taylor expansion of y in x 4.204 * [backup-simplify]: Simplify y into y 4.204 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.204 * [taylor]: Taking taylor expansion of 4.0 in x 4.204 * [backup-simplify]: Simplify 4.0 into 4.0 4.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.204 * [taylor]: Taking taylor expansion of y in x 4.204 * [backup-simplify]: Simplify y into y 4.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.204 * [taylor]: Taking taylor expansion of x in x 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.205 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.205 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.205 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.205 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.205 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.205 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.206 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.206 * [taylor]: Taking taylor expansion of -1.0 in y 4.206 * [backup-simplify]: Simplify -1.0 into -1.0 4.206 * [backup-simplify]: Simplify -1.0 into -1.0 4.206 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.207 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.207 * [backup-simplify]: Simplify (- 0) into 0 4.208 * [backup-simplify]: Simplify (+ 0 0) into 0 4.208 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.208 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.209 * [backup-simplify]: Simplify (+ 0 0) into 0 4.209 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 4.209 * [taylor]: Taking taylor expansion of 0 in y 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (* 1 1) into 1 4.210 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.211 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.211 * [backup-simplify]: Simplify (- 0) into 0 4.212 * [backup-simplify]: Simplify (+ 1 0) into 1 4.212 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.213 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.214 * [backup-simplify]: Simplify (* 1 1) into 1 4.214 * [backup-simplify]: Simplify (+ 0 1) into 1 4.215 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 4.215 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 4.215 * [taylor]: Taking taylor expansion of 0.5 in y 4.215 * [backup-simplify]: Simplify 0.5 into 0.5 4.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.215 * [taylor]: Taking taylor expansion of y in y 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (* 1 1) into 1 4.216 * [backup-simplify]: Simplify (/ 1 1) into 1 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.221 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.222 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.224 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.224 * [backup-simplify]: Simplify (- 0) into 0 4.224 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.226 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.227 * [backup-simplify]: Simplify (+ 0 0) into 0 4.228 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 4.228 * [taylor]: Taking taylor expansion of 0 in y 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify -1.0 into -1.0 4.228 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.229 * [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 4.229 * [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 4.229 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.229 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.229 * [taylor]: Taking taylor expansion of x in y 4.229 * [backup-simplify]: Simplify x into x 4.229 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.229 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.229 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.229 * [taylor]: Taking taylor expansion of 4.0 in y 4.229 * [backup-simplify]: Simplify 4.0 into 4.0 4.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.229 * [taylor]: Taking taylor expansion of y in y 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (* 1 1) into 1 4.230 * [backup-simplify]: Simplify (/ 1 1) into 1 4.230 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.230 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.230 * [taylor]: Taking taylor expansion of 4.0 in y 4.230 * [backup-simplify]: Simplify 4.0 into 4.0 4.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.230 * [taylor]: Taking taylor expansion of y in y 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (* 1 1) into 1 4.231 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.231 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.231 * [taylor]: Taking taylor expansion of x in y 4.231 * [backup-simplify]: Simplify x into x 4.231 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.232 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.232 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.232 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.233 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.234 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.234 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.235 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.235 * [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 4.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.235 * [taylor]: Taking taylor expansion of x in x 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.235 * [backup-simplify]: Simplify (* 1 1) into 1 4.236 * [backup-simplify]: Simplify (/ 1 1) into 1 4.236 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.236 * [taylor]: Taking taylor expansion of 4.0 in x 4.236 * [backup-simplify]: Simplify 4.0 into 4.0 4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.236 * [taylor]: Taking taylor expansion of y in x 4.236 * [backup-simplify]: Simplify y into y 4.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.236 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.236 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.236 * [taylor]: Taking taylor expansion of 4.0 in x 4.236 * [backup-simplify]: Simplify 4.0 into 4.0 4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.236 * [taylor]: Taking taylor expansion of y in x 4.236 * [backup-simplify]: Simplify y into y 4.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.237 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.237 * [taylor]: Taking taylor expansion of x in x 4.237 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify 1 into 1 4.237 * [backup-simplify]: Simplify (* 1 1) into 1 4.238 * [backup-simplify]: Simplify (/ 1 1) into 1 4.238 * [backup-simplify]: Simplify (+ 1 0) into 1 4.238 * [backup-simplify]: Simplify (+ 0 1) into 1 4.239 * [backup-simplify]: Simplify (/ 1 1) into 1 4.239 * [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 4.239 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.239 * [taylor]: Taking taylor expansion of x in x 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [backup-simplify]: Simplify (* 1 1) into 1 4.240 * [backup-simplify]: Simplify (/ 1 1) into 1 4.240 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.240 * [taylor]: Taking taylor expansion of 4.0 in x 4.240 * [backup-simplify]: Simplify 4.0 into 4.0 4.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.240 * [taylor]: Taking taylor expansion of y in x 4.240 * [backup-simplify]: Simplify y into y 4.240 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.240 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.240 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.240 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.240 * [taylor]: Taking taylor expansion of 4.0 in x 4.240 * [backup-simplify]: Simplify 4.0 into 4.0 4.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.241 * [taylor]: Taking taylor expansion of y in x 4.241 * [backup-simplify]: Simplify y into y 4.241 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.241 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.241 * [taylor]: Taking taylor expansion of x in x 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (* 1 1) into 1 4.242 * [backup-simplify]: Simplify (/ 1 1) into 1 4.242 * [backup-simplify]: Simplify (+ 1 0) into 1 4.243 * [backup-simplify]: Simplify (+ 0 1) into 1 4.243 * [backup-simplify]: Simplify (/ 1 1) into 1 4.243 * [taylor]: Taking taylor expansion of 1 in y 4.243 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (+ 0 0) into 0 4.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (+ 0 0) into 0 4.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.248 * [taylor]: Taking taylor expansion of 0 in y 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.250 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.250 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.251 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.254 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 4.254 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.254 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.254 * [taylor]: Taking taylor expansion of 8.0 in y 4.254 * [backup-simplify]: Simplify 8.0 into 8.0 4.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.254 * [taylor]: Taking taylor expansion of y in y 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 1 into 1 4.254 * [backup-simplify]: Simplify (* 1 1) into 1 4.255 * [backup-simplify]: Simplify (/ 1 1) into 1 4.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.259 * [backup-simplify]: Simplify (- 0) into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.263 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.263 * [backup-simplify]: Simplify (- 0) into 0 4.264 * [backup-simplify]: Simplify (+ 0 0) into 0 4.264 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.265 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.268 * [backup-simplify]: Simplify (+ 0 0) into 0 4.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.270 * [taylor]: Taking taylor expansion of 0 in y 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.270 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.270 * [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 4.271 * [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 4.271 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.271 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.271 * [taylor]: Taking taylor expansion of x in y 4.271 * [backup-simplify]: Simplify x into x 4.271 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.271 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.271 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.271 * [taylor]: Taking taylor expansion of 4.0 in y 4.271 * [backup-simplify]: Simplify 4.0 into 4.0 4.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.271 * [taylor]: Taking taylor expansion of y in y 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (* 1 1) into 1 4.272 * [backup-simplify]: Simplify (/ 1 1) into 1 4.272 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.272 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.272 * [taylor]: Taking taylor expansion of 4.0 in y 4.272 * [backup-simplify]: Simplify 4.0 into 4.0 4.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.272 * [taylor]: Taking taylor expansion of y in y 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (* 1 1) into 1 4.273 * [backup-simplify]: Simplify (/ 1 1) into 1 4.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.273 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.273 * [taylor]: Taking taylor expansion of x in y 4.273 * [backup-simplify]: Simplify x into x 4.273 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.274 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.274 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.274 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.275 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.276 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.276 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.277 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.277 * [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 4.277 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.277 * [taylor]: Taking taylor expansion of x in x 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (* 1 1) into 1 4.278 * [backup-simplify]: Simplify (/ 1 1) into 1 4.278 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.278 * [taylor]: Taking taylor expansion of 4.0 in x 4.278 * [backup-simplify]: Simplify 4.0 into 4.0 4.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.278 * [taylor]: Taking taylor expansion of y in x 4.279 * [backup-simplify]: Simplify y into y 4.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.279 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.279 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.279 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.279 * [taylor]: Taking taylor expansion of 4.0 in x 4.279 * [backup-simplify]: Simplify 4.0 into 4.0 4.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.279 * [taylor]: Taking taylor expansion of y in x 4.279 * [backup-simplify]: Simplify y into y 4.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.279 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.279 * [taylor]: Taking taylor expansion of x in x 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 1 into 1 4.280 * [backup-simplify]: Simplify (* 1 1) into 1 4.280 * [backup-simplify]: Simplify (/ 1 1) into 1 4.281 * [backup-simplify]: Simplify (+ 1 0) into 1 4.281 * [backup-simplify]: Simplify (+ 0 1) into 1 4.281 * [backup-simplify]: Simplify (/ 1 1) into 1 4.282 * [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 4.282 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.282 * [taylor]: Taking taylor expansion of x in x 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 1 into 1 4.282 * [backup-simplify]: Simplify (* 1 1) into 1 4.283 * [backup-simplify]: Simplify (/ 1 1) into 1 4.283 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.283 * [taylor]: Taking taylor expansion of 4.0 in x 4.283 * [backup-simplify]: Simplify 4.0 into 4.0 4.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.283 * [taylor]: Taking taylor expansion of y in x 4.283 * [backup-simplify]: Simplify y into y 4.283 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.283 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.283 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.283 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.283 * [taylor]: Taking taylor expansion of 4.0 in x 4.283 * [backup-simplify]: Simplify 4.0 into 4.0 4.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.283 * [taylor]: Taking taylor expansion of y in x 4.283 * [backup-simplify]: Simplify y into y 4.283 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.284 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.284 * [taylor]: Taking taylor expansion of x in x 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify (* 1 1) into 1 4.284 * [backup-simplify]: Simplify (/ 1 1) into 1 4.285 * [backup-simplify]: Simplify (+ 1 0) into 1 4.285 * [backup-simplify]: Simplify (+ 0 1) into 1 4.286 * [backup-simplify]: Simplify (/ 1 1) into 1 4.286 * [taylor]: Taking taylor expansion of 1 in y 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.288 * [backup-simplify]: Simplify (+ 0 0) into 0 4.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.292 * [backup-simplify]: Simplify (+ 0 0) into 0 4.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.293 * [taylor]: Taking taylor expansion of 0 in y 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.295 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.296 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.296 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.298 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.299 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 4.299 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.299 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.299 * [taylor]: Taking taylor expansion of 8.0 in y 4.299 * [backup-simplify]: Simplify 8.0 into 8.0 4.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.299 * [taylor]: Taking taylor expansion of y in y 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (* 1 1) into 1 4.300 * [backup-simplify]: Simplify (/ 1 1) into 1 4.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.304 * [backup-simplify]: Simplify (- 0) into 0 4.304 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.308 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.308 * [backup-simplify]: Simplify (- 0) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.308 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.309 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (+ 0 0) into 0 4.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.313 * [taylor]: Taking taylor expansion of 0 in y 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.314 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 4.314 * [backup-simplify]: Simplify (/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 4.314 * [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 4.314 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.314 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.314 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.314 * [taylor]: Taking taylor expansion of x in y 4.314 * [backup-simplify]: Simplify x into x 4.314 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.314 * [taylor]: Taking taylor expansion of 4.0 in y 4.314 * [backup-simplify]: Simplify 4.0 into 4.0 4.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.314 * [taylor]: Taking taylor expansion of y in y 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.314 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.314 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.314 * [taylor]: Taking taylor expansion of 4.0 in y 4.314 * [backup-simplify]: Simplify 4.0 into 4.0 4.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.314 * [taylor]: Taking taylor expansion of y in y 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.315 * [taylor]: Taking taylor expansion of x in y 4.315 * [backup-simplify]: Simplify x into x 4.315 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.315 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.315 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.315 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.315 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.315 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.315 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.315 * [taylor]: Taking taylor expansion of x in x 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.315 * [taylor]: Taking taylor expansion of 4.0 in x 4.316 * [backup-simplify]: Simplify 4.0 into 4.0 4.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.316 * [taylor]: Taking taylor expansion of y in x 4.316 * [backup-simplify]: Simplify y into y 4.316 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.316 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.316 * [taylor]: Taking taylor expansion of 4.0 in x 4.316 * [backup-simplify]: Simplify 4.0 into 4.0 4.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.316 * [taylor]: Taking taylor expansion of y in x 4.316 * [backup-simplify]: Simplify y into y 4.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.316 * [taylor]: Taking taylor expansion of x in x 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.316 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.316 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.316 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.317 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.317 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.317 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.317 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.317 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.317 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.317 * [taylor]: Taking taylor expansion of x in x 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.317 * [taylor]: Taking taylor expansion of 4.0 in x 4.317 * [backup-simplify]: Simplify 4.0 into 4.0 4.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.318 * [taylor]: Taking taylor expansion of y in x 4.318 * [backup-simplify]: Simplify y into y 4.318 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.318 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.318 * [taylor]: Taking taylor expansion of 4.0 in x 4.318 * [backup-simplify]: Simplify 4.0 into 4.0 4.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.318 * [taylor]: Taking taylor expansion of y in x 4.318 * [backup-simplify]: Simplify y into y 4.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.318 * [taylor]: Taking taylor expansion of x in x 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.318 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.318 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.319 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.319 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.319 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.319 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.319 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.319 * [taylor]: Taking taylor expansion of -1.0 in y 4.319 * [backup-simplify]: Simplify -1.0 into -1.0 4.319 * [backup-simplify]: Simplify -1.0 into -1.0 4.319 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.320 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.320 * [backup-simplify]: Simplify (- 0) into 0 4.321 * [backup-simplify]: Simplify (+ 0 0) into 0 4.321 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.321 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.322 * [backup-simplify]: Simplify (+ 0 0) into 0 4.322 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 4.322 * [taylor]: Taking taylor expansion of 0 in y 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify (* 1 1) into 1 4.322 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.323 * [backup-simplify]: Simplify (- 0) into 0 4.323 * [backup-simplify]: Simplify (+ 1 0) into 1 4.324 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.324 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.325 * [backup-simplify]: Simplify (* 1 1) into 1 4.325 * [backup-simplify]: Simplify (+ 0 1) into 1 4.325 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 4.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 4.325 * [taylor]: Taking taylor expansion of 0.5 in y 4.325 * [backup-simplify]: Simplify 0.5 into 0.5 4.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.325 * [taylor]: Taking taylor expansion of y in y 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.326 * [backup-simplify]: Simplify (* 1 1) into 1 4.326 * [backup-simplify]: Simplify (/ 1 1) into 1 4.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.329 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.330 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.330 * [backup-simplify]: Simplify (- 0) into 0 4.331 * [backup-simplify]: Simplify (+ 0 0) into 0 4.331 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.332 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.333 * [backup-simplify]: Simplify (+ 0 0) into 0 4.333 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 4.333 * [taylor]: Taking taylor expansion of 0 in y 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify -1.0 into -1.0 4.334 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.334 * [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 4.334 * [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 4.334 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.334 * [taylor]: Taking taylor expansion of x in y 4.334 * [backup-simplify]: Simplify x into x 4.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.334 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.334 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.334 * [taylor]: Taking taylor expansion of 4.0 in y 4.334 * [backup-simplify]: Simplify 4.0 into 4.0 4.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.334 * [taylor]: Taking taylor expansion of y in y 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (* 1 1) into 1 4.335 * [backup-simplify]: Simplify (/ 1 1) into 1 4.335 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.335 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.335 * [taylor]: Taking taylor expansion of 4.0 in y 4.335 * [backup-simplify]: Simplify 4.0 into 4.0 4.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.335 * [taylor]: Taking taylor expansion of y in y 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (* 1 1) into 1 4.335 * [backup-simplify]: Simplify (/ 1 1) into 1 4.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.336 * [taylor]: Taking taylor expansion of x in y 4.336 * [backup-simplify]: Simplify x into x 4.336 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.336 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.336 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.336 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.337 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.337 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.337 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.338 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.338 * [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 4.338 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.338 * [taylor]: Taking taylor expansion of x in x 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (* 1 1) into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.339 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.339 * [taylor]: Taking taylor expansion of 4.0 in x 4.339 * [backup-simplify]: Simplify 4.0 into 4.0 4.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.339 * [taylor]: Taking taylor expansion of y in x 4.339 * [backup-simplify]: Simplify y into y 4.339 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.339 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.339 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.339 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.339 * [taylor]: Taking taylor expansion of 4.0 in x 4.339 * [backup-simplify]: Simplify 4.0 into 4.0 4.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.339 * [taylor]: Taking taylor expansion of y in x 4.339 * [backup-simplify]: Simplify y into y 4.339 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.339 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.340 * [taylor]: Taking taylor expansion of x in x 4.340 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify 1 into 1 4.340 * [backup-simplify]: Simplify (* 1 1) into 1 4.340 * [backup-simplify]: Simplify (/ 1 1) into 1 4.340 * [backup-simplify]: Simplify (+ 1 0) into 1 4.341 * [backup-simplify]: Simplify (+ 0 1) into 1 4.341 * [backup-simplify]: Simplify (/ 1 1) into 1 4.341 * [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 x 4.341 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.341 * [taylor]: Taking taylor expansion of x in x 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 1 into 1 4.341 * [backup-simplify]: Simplify (* 1 1) into 1 4.341 * [backup-simplify]: Simplify (/ 1 1) into 1 4.341 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.341 * [taylor]: Taking taylor expansion of 4.0 in x 4.341 * [backup-simplify]: Simplify 4.0 into 4.0 4.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.342 * [taylor]: Taking taylor expansion of y in x 4.342 * [backup-simplify]: Simplify y into y 4.342 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.342 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.342 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.342 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.342 * [taylor]: Taking taylor expansion of 4.0 in x 4.342 * [backup-simplify]: Simplify 4.0 into 4.0 4.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.342 * [taylor]: Taking taylor expansion of y in x 4.342 * [backup-simplify]: Simplify y into y 4.342 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.342 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.342 * [taylor]: Taking taylor expansion of x in x 4.342 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify 1 into 1 4.342 * [backup-simplify]: Simplify (* 1 1) into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.343 * [backup-simplify]: Simplify (+ 1 0) into 1 4.343 * [backup-simplify]: Simplify (+ 0 1) into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.343 * [taylor]: Taking taylor expansion of 1 in y 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify 1 into 1 4.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (+ 0 0) into 0 4.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (+ 0 0) into 0 4.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.346 * [taylor]: Taking taylor expansion of 0 in y 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.347 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.348 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.348 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.350 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 4.350 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.350 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.350 * [taylor]: Taking taylor expansion of 8.0 in y 4.350 * [backup-simplify]: Simplify 8.0 into 8.0 4.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.350 * [taylor]: Taking taylor expansion of y in y 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 1 into 1 4.350 * [backup-simplify]: Simplify (* 1 1) into 1 4.350 * [backup-simplify]: Simplify (/ 1 1) into 1 4.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.353 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.353 * [backup-simplify]: Simplify (- 0) into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.354 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.355 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.355 * [backup-simplify]: Simplify (- 0) into 0 4.356 * [backup-simplify]: Simplify (+ 0 0) into 0 4.356 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.356 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (+ 0 0) into 0 4.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.359 * [taylor]: Taking taylor expansion of 0 in y 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.359 * [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 4.359 * [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 4.359 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.359 * [taylor]: Taking taylor expansion of x in y 4.359 * [backup-simplify]: Simplify x into x 4.359 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.359 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.359 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.359 * [taylor]: Taking taylor expansion of 4.0 in y 4.359 * [backup-simplify]: Simplify 4.0 into 4.0 4.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.359 * [taylor]: Taking taylor expansion of y in y 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 1 into 1 4.360 * [backup-simplify]: Simplify (* 1 1) into 1 4.360 * [backup-simplify]: Simplify (/ 1 1) into 1 4.360 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.360 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.360 * [taylor]: Taking taylor expansion of 4.0 in y 4.360 * [backup-simplify]: Simplify 4.0 into 4.0 4.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.360 * [taylor]: Taking taylor expansion of y in y 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.360 * [backup-simplify]: Simplify (* 1 1) into 1 4.361 * [backup-simplify]: Simplify (/ 1 1) into 1 4.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.361 * [taylor]: Taking taylor expansion of x in y 4.361 * [backup-simplify]: Simplify x into x 4.361 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.361 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.361 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.361 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.362 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.362 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.362 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.363 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.363 * [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 4.363 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.363 * [taylor]: Taking taylor expansion of x in x 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 1 into 1 4.363 * [backup-simplify]: Simplify (* 1 1) into 1 4.364 * [backup-simplify]: Simplify (/ 1 1) into 1 4.364 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.364 * [taylor]: Taking taylor expansion of 4.0 in x 4.364 * [backup-simplify]: Simplify 4.0 into 4.0 4.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.364 * [taylor]: Taking taylor expansion of y in x 4.364 * [backup-simplify]: Simplify y into y 4.364 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.364 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.364 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.364 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.364 * [taylor]: Taking taylor expansion of 4.0 in x 4.364 * [backup-simplify]: Simplify 4.0 into 4.0 4.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.364 * [taylor]: Taking taylor expansion of y in x 4.364 * [backup-simplify]: Simplify y into y 4.365 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.365 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.365 * [taylor]: Taking taylor expansion of x in x 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [backup-simplify]: Simplify (* 1 1) into 1 4.366 * [backup-simplify]: Simplify (/ 1 1) into 1 4.366 * [backup-simplify]: Simplify (+ 1 0) into 1 4.367 * [backup-simplify]: Simplify (+ 0 1) into 1 4.367 * [backup-simplify]: Simplify (/ 1 1) into 1 4.367 * [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 4.367 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.367 * [taylor]: Taking taylor expansion of x in x 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.368 * [backup-simplify]: Simplify (* 1 1) into 1 4.368 * [backup-simplify]: Simplify (/ 1 1) into 1 4.368 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.368 * [taylor]: Taking taylor expansion of 4.0 in x 4.368 * [backup-simplify]: Simplify 4.0 into 4.0 4.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.368 * [taylor]: Taking taylor expansion of y in x 4.368 * [backup-simplify]: Simplify y into y 4.368 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.369 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.369 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.369 * [taylor]: Taking taylor expansion of 4.0 in x 4.369 * [backup-simplify]: Simplify 4.0 into 4.0 4.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.369 * [taylor]: Taking taylor expansion of y in x 4.369 * [backup-simplify]: Simplify y into y 4.369 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.369 * [taylor]: Taking taylor expansion of x in x 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (* 1 1) into 1 4.370 * [backup-simplify]: Simplify (/ 1 1) into 1 4.370 * [backup-simplify]: Simplify (+ 1 0) into 1 4.371 * [backup-simplify]: Simplify (+ 0 1) into 1 4.371 * [backup-simplify]: Simplify (/ 1 1) into 1 4.371 * [taylor]: Taking taylor expansion of 1 in y 4.371 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify 1 into 1 4.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.373 * [backup-simplify]: Simplify (+ 0 0) into 0 4.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (+ 0 0) into 0 4.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.376 * [taylor]: Taking taylor expansion of 0 in y 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.379 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.379 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.379 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.382 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 4.382 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.382 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.383 * [taylor]: Taking taylor expansion of 8.0 in y 4.383 * [backup-simplify]: Simplify 8.0 into 8.0 4.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.383 * [taylor]: Taking taylor expansion of y in y 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 1 into 1 4.383 * [backup-simplify]: Simplify (* 1 1) into 1 4.384 * [backup-simplify]: Simplify (/ 1 1) into 1 4.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.388 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.389 * [backup-simplify]: Simplify (- 0) into 0 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.391 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.392 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.393 * [backup-simplify]: Simplify (- 0) into 0 4.393 * [backup-simplify]: Simplify (+ 0 0) into 0 4.393 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.394 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.399 * [taylor]: Taking taylor expansion of 0 in y 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.399 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 4.400 * [backup-simplify]: Simplify (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))) into (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) 4.400 * [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 4.400 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in y 4.400 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.400 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.400 * [taylor]: Taking taylor expansion of 4.0 in y 4.400 * [backup-simplify]: Simplify 4.0 into 4.0 4.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.400 * [taylor]: Taking taylor expansion of y in y 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.400 * [taylor]: Taking taylor expansion of x in y 4.400 * [backup-simplify]: Simplify x into x 4.400 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.401 * [taylor]: Taking taylor expansion of x in y 4.401 * [backup-simplify]: Simplify x into x 4.401 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.401 * [taylor]: Taking taylor expansion of 4.0 in y 4.401 * [backup-simplify]: Simplify 4.0 into 4.0 4.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.401 * [taylor]: Taking taylor expansion of y in y 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.401 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.401 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.401 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.401 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.402 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in x 4.402 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.402 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.402 * [taylor]: Taking taylor expansion of 4.0 in x 4.402 * [backup-simplify]: Simplify 4.0 into 4.0 4.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.402 * [taylor]: Taking taylor expansion of y in x 4.402 * [backup-simplify]: Simplify y into y 4.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.402 * [taylor]: Taking taylor expansion of x in x 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 1 into 1 4.402 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.402 * [taylor]: Taking taylor expansion of x in x 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 1 into 1 4.402 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.402 * [taylor]: Taking taylor expansion of 4.0 in x 4.402 * [backup-simplify]: Simplify 4.0 into 4.0 4.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.402 * [taylor]: Taking taylor expansion of y in x 4.402 * [backup-simplify]: Simplify y into y 4.402 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.402 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.403 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.403 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.403 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.403 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.403 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.404 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0 4.404 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in x 4.404 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.404 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.404 * [taylor]: Taking taylor expansion of 4.0 in x 4.404 * [backup-simplify]: Simplify 4.0 into 4.0 4.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.404 * [taylor]: Taking taylor expansion of y in x 4.404 * [backup-simplify]: Simplify y into y 4.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.404 * [taylor]: Taking taylor expansion of x in x 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 1 into 1 4.404 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.404 * [taylor]: Taking taylor expansion of x in x 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 1 into 1 4.404 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.404 * [taylor]: Taking taylor expansion of 4.0 in x 4.404 * [backup-simplify]: Simplify 4.0 into 4.0 4.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.404 * [taylor]: Taking taylor expansion of y in x 4.404 * [backup-simplify]: Simplify y into y 4.404 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.405 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.405 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.405 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.405 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.405 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.405 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.406 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0 4.406 * [taylor]: Taking taylor expansion of -1.0 in y 4.406 * [backup-simplify]: Simplify -1.0 into -1.0 4.406 * [backup-simplify]: Simplify -1.0 into -1.0 4.406 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.407 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.407 * [backup-simplify]: Simplify (+ 0 0) into 0 4.407 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.408 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.409 * [backup-simplify]: Simplify (- 0) into 0 4.409 * [backup-simplify]: Simplify (+ 0 0) into 0 4.409 * [backup-simplify]: Simplify (- (/ 0 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 0 (- (* 4.0 (pow y 2))))))) into 0 4.409 * [taylor]: Taking taylor expansion of 0 in y 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.411 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.412 * [backup-simplify]: Simplify (* 1 1) into 1 4.412 * [backup-simplify]: Simplify (+ 0 1) into 1 4.413 * [backup-simplify]: Simplify (* 1 1) into 1 4.413 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.414 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.415 * [backup-simplify]: Simplify (- 0) into 0 4.415 * [backup-simplify]: Simplify (+ 1 0) into 1 4.416 * [backup-simplify]: Simplify (- (/ 1 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 1 (- (* 4.0 (pow y 2))))) (* 0 (/ 0 (- (* 4.0 (pow y 2))))))) into (- (* 0.5 (/ 1 (pow y 2)))) 4.416 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow y 2)))) in y 4.417 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 4.417 * [taylor]: Taking taylor expansion of 0.5 in y 4.417 * [backup-simplify]: Simplify 0.5 into 0.5 4.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.417 * [taylor]: Taking taylor expansion of y in y 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.417 * [backup-simplify]: Simplify (* 1 1) into 1 4.418 * [backup-simplify]: Simplify (/ 1 1) into 1 4.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.423 * [backup-simplify]: Simplify (- 0) into 0 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.427 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.428 * [backup-simplify]: Simplify (+ 0 0) into 0 4.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.430 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.431 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.432 * [backup-simplify]: Simplify (- 0) into 0 4.432 * [backup-simplify]: Simplify (+ 0 0) into 0 4.432 * [backup-simplify]: Simplify (- (/ 0 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 0 (- (* 4.0 (pow y 2))))) (* 0 (/ 1 (- (* 4.0 (pow y 2))))) (* (- (* 0.5 (/ 1 (pow y 2)))) (/ 0 (- (* 4.0 (pow y 2))))))) into 0 4.432 * [taylor]: Taking taylor expansion of 0 in y 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify -1.0 into -1.0 4.433 * [backup-simplify]: Simplify (/ (+ (pow (/ 1 x) 2) (* (* 4.0 (/ 1 y)) (/ 1 y))) (- (pow (/ 1 x) 2) (* (* 4.0 (/ 1 y)) (/ 1 y)))) into (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 4.433 * [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 4.433 * [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 4.433 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.433 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.433 * [taylor]: Taking taylor expansion of 4.0 in y 4.433 * [backup-simplify]: Simplify 4.0 into 4.0 4.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.433 * [taylor]: Taking taylor expansion of y in y 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 1 into 1 4.433 * [backup-simplify]: Simplify (* 1 1) into 1 4.434 * [backup-simplify]: Simplify (/ 1 1) into 1 4.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.434 * [taylor]: Taking taylor expansion of x in y 4.434 * [backup-simplify]: Simplify x into x 4.434 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.434 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.434 * [taylor]: Taking taylor expansion of x in y 4.434 * [backup-simplify]: Simplify x into x 4.434 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.434 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.434 * [taylor]: Taking taylor expansion of 4.0 in y 4.434 * [backup-simplify]: Simplify 4.0 into 4.0 4.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.434 * [taylor]: Taking taylor expansion of y in y 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (* 1 1) into 1 4.435 * [backup-simplify]: Simplify (/ 1 1) into 1 4.435 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.435 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.435 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.436 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.436 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.437 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0 4.437 * [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 4.437 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.437 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.437 * [taylor]: Taking taylor expansion of 4.0 in x 4.437 * [backup-simplify]: Simplify 4.0 into 4.0 4.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.437 * [taylor]: Taking taylor expansion of y in x 4.437 * [backup-simplify]: Simplify y into y 4.437 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.437 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.437 * [taylor]: Taking taylor expansion of x in x 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.437 * [backup-simplify]: Simplify (* 1 1) into 1 4.438 * [backup-simplify]: Simplify (/ 1 1) into 1 4.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.438 * [taylor]: Taking taylor expansion of x in x 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (* 1 1) into 1 4.438 * [backup-simplify]: Simplify (/ 1 1) into 1 4.438 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.438 * [taylor]: Taking taylor expansion of 4.0 in x 4.438 * [backup-simplify]: Simplify 4.0 into 4.0 4.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.438 * [taylor]: Taking taylor expansion of y in x 4.438 * [backup-simplify]: Simplify y into y 4.438 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.438 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.439 * [backup-simplify]: Simplify (+ 0 1) into 1 4.439 * [backup-simplify]: Simplify (+ 1 0) into 1 4.439 * [backup-simplify]: Simplify (/ 1 1) into 1 4.439 * [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 4.439 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.439 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.439 * [taylor]: Taking taylor expansion of 4.0 in x 4.439 * [backup-simplify]: Simplify 4.0 into 4.0 4.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.439 * [taylor]: Taking taylor expansion of y in x 4.439 * [backup-simplify]: Simplify y into y 4.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.440 * [taylor]: Taking taylor expansion of x in x 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 1 into 1 4.440 * [backup-simplify]: Simplify (* 1 1) into 1 4.440 * [backup-simplify]: Simplify (/ 1 1) into 1 4.440 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.440 * [taylor]: Taking taylor expansion of x in x 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 1 into 1 4.440 * [backup-simplify]: Simplify (* 1 1) into 1 4.441 * [backup-simplify]: Simplify (/ 1 1) into 1 4.441 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.441 * [taylor]: Taking taylor expansion of 4.0 in x 4.441 * [backup-simplify]: Simplify 4.0 into 4.0 4.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.441 * [taylor]: Taking taylor expansion of y in x 4.441 * [backup-simplify]: Simplify y into y 4.441 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.441 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.441 * [backup-simplify]: Simplify (+ 0 1) into 1 4.441 * [backup-simplify]: Simplify (+ 1 0) into 1 4.442 * [backup-simplify]: Simplify (/ 1 1) into 1 4.442 * [taylor]: Taking taylor expansion of 1 in y 4.442 * [backup-simplify]: Simplify 1 into 1 4.442 * [backup-simplify]: Simplify 1 into 1 4.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.443 * [backup-simplify]: Simplify (+ 0 0) into 0 4.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.444 * [backup-simplify]: Simplify (+ 0 0) into 0 4.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.444 * [taylor]: Taking taylor expansion of 0 in y 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.446 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.447 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.447 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.447 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.448 * [backup-simplify]: Simplify (- (/ (* 4.0 (/ 1 (pow y 2))) 1) (+ (* 1 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 8.0 (/ 1 (pow y 2))) 4.448 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.448 * [taylor]: Taking taylor expansion of 8.0 in y 4.448 * [backup-simplify]: Simplify 8.0 into 8.0 4.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.448 * [taylor]: Taking taylor expansion of y in y 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 1 into 1 4.448 * [backup-simplify]: Simplify (* 1 1) into 1 4.448 * [backup-simplify]: Simplify (/ 1 1) into 1 4.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.451 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.451 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (+ 0 0) into 0 4.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.454 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.455 * [backup-simplify]: Simplify (- 0) into 0 4.455 * [backup-simplify]: Simplify (+ 0 0) into 0 4.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* (* 8.0 (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.457 * [taylor]: Taking taylor expansion of 0 in y 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (/ (+ (pow (/ 1 (- x)) 2) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (- (pow (/ 1 (- x)) 2) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y))))) into (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 4.457 * [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 4.457 * [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 4.457 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.458 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.458 * [taylor]: Taking taylor expansion of 4.0 in y 4.458 * [backup-simplify]: Simplify 4.0 into 4.0 4.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.458 * [taylor]: Taking taylor expansion of y in y 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.458 * [backup-simplify]: Simplify (* 1 1) into 1 4.459 * [backup-simplify]: Simplify (/ 1 1) into 1 4.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.459 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.459 * [taylor]: Taking taylor expansion of x in y 4.459 * [backup-simplify]: Simplify x into x 4.459 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.459 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.459 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.459 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.459 * [taylor]: Taking taylor expansion of x in y 4.459 * [backup-simplify]: Simplify x into x 4.459 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.459 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.459 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.459 * [taylor]: Taking taylor expansion of 4.0 in y 4.460 * [backup-simplify]: Simplify 4.0 into 4.0 4.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.460 * [taylor]: Taking taylor expansion of y in y 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (* 1 1) into 1 4.460 * [backup-simplify]: Simplify (/ 1 1) into 1 4.461 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.461 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.462 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.462 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.463 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.464 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0 4.464 * [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 4.464 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.464 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.464 * [taylor]: Taking taylor expansion of 4.0 in x 4.464 * [backup-simplify]: Simplify 4.0 into 4.0 4.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.464 * [taylor]: Taking taylor expansion of y in x 4.464 * [backup-simplify]: Simplify y into y 4.464 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.464 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.464 * [taylor]: Taking taylor expansion of x in x 4.464 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify 1 into 1 4.464 * [backup-simplify]: Simplify (* 1 1) into 1 4.465 * [backup-simplify]: Simplify (/ 1 1) into 1 4.465 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.465 * [taylor]: Taking taylor expansion of x in x 4.465 * [backup-simplify]: Simplify 0 into 0 4.465 * [backup-simplify]: Simplify 1 into 1 4.465 * [backup-simplify]: Simplify (* 1 1) into 1 4.466 * [backup-simplify]: Simplify (/ 1 1) into 1 4.466 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.466 * [taylor]: Taking taylor expansion of 4.0 in x 4.466 * [backup-simplify]: Simplify 4.0 into 4.0 4.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.466 * [taylor]: Taking taylor expansion of y in x 4.466 * [backup-simplify]: Simplify y into y 4.466 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.466 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.467 * [backup-simplify]: Simplify (+ 0 1) into 1 4.467 * [backup-simplify]: Simplify (+ 1 0) into 1 4.467 * [backup-simplify]: Simplify (/ 1 1) into 1 4.467 * [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 4.467 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.467 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.467 * [taylor]: Taking taylor expansion of 4.0 in x 4.467 * [backup-simplify]: Simplify 4.0 into 4.0 4.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.468 * [taylor]: Taking taylor expansion of y in x 4.468 * [backup-simplify]: Simplify y into y 4.468 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.468 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.468 * [taylor]: Taking taylor expansion of x in x 4.468 * [backup-simplify]: Simplify 0 into 0 4.468 * [backup-simplify]: Simplify 1 into 1 4.468 * [backup-simplify]: Simplify (* 1 1) into 1 4.469 * [backup-simplify]: Simplify (/ 1 1) into 1 4.469 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.469 * [taylor]: Taking taylor expansion of x in x 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 1 into 1 4.469 * [backup-simplify]: Simplify (* 1 1) into 1 4.469 * [backup-simplify]: Simplify (/ 1 1) into 1 4.469 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.469 * [taylor]: Taking taylor expansion of 4.0 in x 4.470 * [backup-simplify]: Simplify 4.0 into 4.0 4.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.470 * [taylor]: Taking taylor expansion of y in x 4.470 * [backup-simplify]: Simplify y into y 4.470 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.470 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.470 * [backup-simplify]: Simplify (+ 0 1) into 1 4.471 * [backup-simplify]: Simplify (+ 1 0) into 1 4.471 * [backup-simplify]: Simplify (/ 1 1) into 1 4.471 * [taylor]: Taking taylor expansion of 1 in y 4.471 * [backup-simplify]: Simplify 1 into 1 4.471 * [backup-simplify]: Simplify 1 into 1 4.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.473 * [backup-simplify]: Simplify (+ 0 0) into 0 4.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.475 * [backup-simplify]: Simplify (+ 0 0) into 0 4.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.476 * [taylor]: Taking taylor expansion of 0 in y 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.478 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.480 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.480 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.480 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.481 * [backup-simplify]: Simplify (- (/ (* 4.0 (/ 1 (pow y 2))) 1) (+ (* 1 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 8.0 (/ 1 (pow y 2))) 4.481 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.481 * [taylor]: Taking taylor expansion of 8.0 in y 4.481 * [backup-simplify]: Simplify 8.0 into 8.0 4.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.481 * [taylor]: Taking taylor expansion of y in y 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify 1 into 1 4.482 * [backup-simplify]: Simplify (* 1 1) into 1 4.482 * [backup-simplify]: Simplify (/ 1 1) into 1 4.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.487 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (+ 0 0) into 0 4.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.491 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.492 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.493 * [backup-simplify]: Simplify (- 0) into 0 4.493 * [backup-simplify]: Simplify (+ 0 0) into 0 4.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* (* 8.0 (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.495 * [taylor]: Taking taylor expansion of 0 in y 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.495 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 4.495 * [backup-simplify]: Simplify (- (* x x) (* (* 4.0 y) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 4.495 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 4.495 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.495 * [taylor]: Taking taylor expansion of x in y 4.495 * [backup-simplify]: Simplify x into x 4.495 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.495 * [taylor]: Taking taylor expansion of 4.0 in y 4.495 * [backup-simplify]: Simplify 4.0 into 4.0 4.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.495 * [taylor]: Taking taylor expansion of y in y 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.495 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.495 * [taylor]: Taking taylor expansion of x in x 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 1 into 1 4.496 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.496 * [taylor]: Taking taylor expansion of 4.0 in x 4.496 * [backup-simplify]: Simplify 4.0 into 4.0 4.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.496 * [taylor]: Taking taylor expansion of y in x 4.496 * [backup-simplify]: Simplify y into y 4.496 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.496 * [taylor]: Taking taylor expansion of x in x 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 1 into 1 4.496 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.496 * [taylor]: Taking taylor expansion of 4.0 in x 4.496 * [backup-simplify]: Simplify 4.0 into 4.0 4.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.496 * [taylor]: Taking taylor expansion of y in x 4.496 * [backup-simplify]: Simplify y into y 4.496 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.496 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.496 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.497 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.497 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 4.497 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.497 * [taylor]: Taking taylor expansion of 4.0 in y 4.497 * [backup-simplify]: Simplify 4.0 into 4.0 4.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.497 * [taylor]: Taking taylor expansion of y in y 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 1 into 1 4.497 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.498 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.498 * [backup-simplify]: Simplify (- 0) into 0 4.498 * [backup-simplify]: Simplify (+ 0 0) into 0 4.498 * [taylor]: Taking taylor expansion of 0 in y 4.498 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify (* 1 1) into 1 4.499 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.500 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.500 * [backup-simplify]: Simplify (- 0) into 0 4.501 * [backup-simplify]: Simplify (+ 1 0) into 1 4.501 * [taylor]: Taking taylor expansion of 1 in y 4.501 * [backup-simplify]: Simplify 1 into 1 4.501 * [backup-simplify]: Simplify 1 into 1 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify (* 1 1) into 1 4.502 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.502 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.502 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.504 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.505 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.505 * [backup-simplify]: Simplify (- 0) into 0 4.506 * [backup-simplify]: Simplify (+ 0 0) into 0 4.506 * [taylor]: Taking taylor expansion of 0 in y 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.507 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.508 * [backup-simplify]: Simplify (- 0) into 0 4.508 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.510 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.511 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.512 * [backup-simplify]: Simplify (- 0) into 0 4.512 * [backup-simplify]: Simplify (+ 0 0) into 0 4.512 * [taylor]: Taking taylor expansion of 0 in y 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 4.513 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 4.513 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 4.513 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.513 * [taylor]: Taking taylor expansion of x in y 4.513 * [backup-simplify]: Simplify x into x 4.513 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.514 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.514 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.514 * [taylor]: Taking taylor expansion of 4.0 in y 4.514 * [backup-simplify]: Simplify 4.0 into 4.0 4.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.514 * [taylor]: Taking taylor expansion of y in y 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 1 into 1 4.514 * [backup-simplify]: Simplify (* 1 1) into 1 4.515 * [backup-simplify]: Simplify (/ 1 1) into 1 4.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.515 * [taylor]: Taking taylor expansion of x in x 4.515 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify 1 into 1 4.515 * [backup-simplify]: Simplify (* 1 1) into 1 4.515 * [backup-simplify]: Simplify (/ 1 1) into 1 4.515 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.516 * [taylor]: Taking taylor expansion of 4.0 in x 4.516 * [backup-simplify]: Simplify 4.0 into 4.0 4.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.516 * [taylor]: Taking taylor expansion of y in x 4.516 * [backup-simplify]: Simplify y into y 4.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.516 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.516 * [taylor]: Taking taylor expansion of x in x 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify 1 into 1 4.516 * [backup-simplify]: Simplify (* 1 1) into 1 4.517 * [backup-simplify]: Simplify (/ 1 1) into 1 4.517 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.517 * [taylor]: Taking taylor expansion of 4.0 in x 4.517 * [backup-simplify]: Simplify 4.0 into 4.0 4.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.517 * [taylor]: Taking taylor expansion of y in x 4.517 * [backup-simplify]: Simplify y into y 4.517 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.517 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.518 * [backup-simplify]: Simplify (+ 1 0) into 1 4.518 * [taylor]: Taking taylor expansion of 1 in y 4.518 * [backup-simplify]: Simplify 1 into 1 4.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.520 * [backup-simplify]: Simplify (+ 0 0) into 0 4.520 * [taylor]: Taking taylor expansion of 0 in y 4.520 * [backup-simplify]: Simplify 0 into 0 4.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.522 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.522 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.522 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.522 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.522 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.522 * [taylor]: Taking taylor expansion of 4.0 in y 4.522 * [backup-simplify]: Simplify 4.0 into 4.0 4.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.522 * [taylor]: Taking taylor expansion of y in y 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.523 * [backup-simplify]: Simplify (* 1 1) into 1 4.523 * [backup-simplify]: Simplify (/ 1 1) into 1 4.524 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.524 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.524 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.524 * [backup-simplify]: Simplify 1 into 1 4.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.526 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.527 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.528 * [backup-simplify]: Simplify (- 0) into 0 4.528 * [backup-simplify]: Simplify (+ 0 0) into 0 4.528 * [taylor]: Taking taylor expansion of 0 in y 4.528 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.530 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.530 * [backup-simplify]: Simplify (- 0) into 0 4.530 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.533 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.535 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.535 * [backup-simplify]: Simplify (- 0) into 0 4.535 * [backup-simplify]: Simplify (+ 0 0) into 0 4.535 * [taylor]: Taking taylor expansion of 0 in y 4.535 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.538 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.538 * [backup-simplify]: Simplify (- 0) into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 4.540 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 4.540 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 4.540 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.540 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.540 * [taylor]: Taking taylor expansion of x in y 4.540 * [backup-simplify]: Simplify x into x 4.540 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.540 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.540 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.540 * [taylor]: Taking taylor expansion of 4.0 in y 4.540 * [backup-simplify]: Simplify 4.0 into 4.0 4.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.540 * [taylor]: Taking taylor expansion of y in y 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.541 * [backup-simplify]: Simplify (* 1 1) into 1 4.541 * [backup-simplify]: Simplify (/ 1 1) into 1 4.541 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.541 * [taylor]: Taking taylor expansion of x in x 4.541 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify 1 into 1 4.542 * [backup-simplify]: Simplify (* 1 1) into 1 4.542 * [backup-simplify]: Simplify (/ 1 1) into 1 4.542 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.542 * [taylor]: Taking taylor expansion of 4.0 in x 4.542 * [backup-simplify]: Simplify 4.0 into 4.0 4.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.542 * [taylor]: Taking taylor expansion of y in x 4.542 * [backup-simplify]: Simplify y into y 4.542 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.542 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.542 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.542 * [taylor]: Taking taylor expansion of x in x 4.542 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 1 into 1 4.543 * [backup-simplify]: Simplify (* 1 1) into 1 4.543 * [backup-simplify]: Simplify (/ 1 1) into 1 4.543 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.543 * [taylor]: Taking taylor expansion of 4.0 in x 4.543 * [backup-simplify]: Simplify 4.0 into 4.0 4.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.543 * [taylor]: Taking taylor expansion of y in x 4.543 * [backup-simplify]: Simplify y into y 4.543 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.544 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.544 * [backup-simplify]: Simplify (+ 1 0) into 1 4.544 * [taylor]: Taking taylor expansion of 1 in y 4.544 * [backup-simplify]: Simplify 1 into 1 4.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (+ 0 0) into 0 4.546 * [taylor]: Taking taylor expansion of 0 in y 4.546 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.548 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.548 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.548 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.549 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.549 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.549 * [taylor]: Taking taylor expansion of 4.0 in y 4.549 * [backup-simplify]: Simplify 4.0 into 4.0 4.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.549 * [taylor]: Taking taylor expansion of y in y 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 1 into 1 4.549 * [backup-simplify]: Simplify (* 1 1) into 1 4.550 * [backup-simplify]: Simplify (/ 1 1) into 1 4.550 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.550 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.551 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.551 * [backup-simplify]: Simplify 1 into 1 4.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.554 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.554 * [backup-simplify]: Simplify (- 0) into 0 4.555 * [backup-simplify]: Simplify (+ 0 0) into 0 4.555 * [taylor]: Taking taylor expansion of 0 in y 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.557 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.557 * [backup-simplify]: Simplify (- 0) into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.563 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.564 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.565 * [backup-simplify]: Simplify (- 0) into 0 4.565 * [backup-simplify]: Simplify (+ 0 0) into 0 4.565 * [taylor]: Taking taylor expansion of 0 in y 4.565 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.568 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.569 * [backup-simplify]: Simplify (- 0) into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 4.570 * * * [progress]: simplifying candidates 4.574 * [simplify]: Simplifying: (- (log (- (* x x) (* (* 4.0 y) y))) (log (+ (* 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))) (/ (* 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)))) 1) (/ (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))) 1) (/ (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 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)) 1) (/ (+ (* 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)) (+ (pow (* x x) 3) (pow (* (* 4.0 y) y) 3))) (/ (- (* x x) (* (* 4.0 y) y)) (- (* (* x x) (* x x)) (* (* (* 4.0 y) y) (* (* 4.0 y) y)))) (* (+ (* x x) (* (* 4.0 y) y)) (+ (* (* x x) (* x x)) (+ (* (* (* 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))) (- (log (- (* x x) (* (* 4.0 y) y))) (log (+ (* 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))) (/ (* 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)))) 1) (/ (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) 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(* (* 4.0 y) y)))) (/ (+ (* x x) (* (* 4.0 y) y)) (- (* x x) (* (* 4.0 y) y))) (/ (- (* x x) (* (* 4.0 y) y)) (+ (pow (* x x) 3) (pow (* (* 4.0 y) y) 3))) (/ (- (* x x) (* (* 4.0 y) y)) (- (* (* x x) (* x x)) (* (* (* 4.0 y) y) (* (* 4.0 y) y)))) (* (+ (* x x) (* (* 4.0 y) y)) (+ (* (* x x) (* x x)) (+ (* (* (* 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))) (- (log (+ (pow x 2) (* (* 4.0 y) y))) (log (- (pow x 2) (* (* 4.0 y) y)))) (log (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y)))) (exp (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y)))) (/ (* (* (+ (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) (+ (pow x 2) (* (* 4.0 y) y))) (* (* (- (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))) (- (pow x 2) (* (* 4.0 y) y)))) (* (cbrt (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y)))) (cbrt (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))))) (cbrt 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(cbrt (+ (pow x 2) (* (* 4.0 y) y))) (- (pow x 2) (* (* 4.0 y) y))) (/ (sqrt (+ (pow x 2) (* (* 4.0 y) y))) (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y))))) (/ (sqrt (+ (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (sqrt (+ (pow x 2) (* (* 4.0 y) y))) (sqrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (sqrt (+ (pow x 2) (* (* 4.0 y) y))) (sqrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (sqrt (+ (pow x 2) (* (* 4.0 y) y))) 1) (/ (sqrt (+ (pow x 2) (* (* 4.0 y) y))) (- (pow x 2) (* (* 4.0 y) y))) (/ 1 (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y))))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (cbrt (- (pow x 2) (* (* 4.0 y) y)))) (/ 1 (sqrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (sqrt (- (pow x 2) (* (* 4.0 y) y)))) (/ 1 1) (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))) (/ 1 (- (pow x 2) (* (* 4.0 y) y))) (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (* (cbrt (- (pow x 2) (* (* 4.0 y) y))) (cbrt (- (pow x 2) (* (* 4.0 y) y))))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (sqrt (- (pow x 2) (* (* 4.0 y) y)))) (/ (+ (pow x 2) (* (* 4.0 y) y)) 1) (/ (- (pow x 2) (* (* 4.0 y) y)) (cbrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (- (pow x 2) (* (* 4.0 y) y)) (sqrt (+ (pow x 2) (* (* 4.0 y) y)))) (/ (- (pow x 2) (* (* 4.0 y) y)) (+ (pow x 2) (* (* 4.0 y) y))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (pow (pow x 2) 3) (pow (* (* 4.0 y) y) 3))) (/ (+ (pow x 2) (* (* 4.0 y) y)) (- (* (pow x 2) (pow x 2)) (* (* (* 4.0 y) y) (* (* 4.0 y) y)))) (* (- (pow x 2) (* (* 4.0 y) y)) (+ (* (pow x 2) (pow x 2)) (- (* (* (* 4.0 y) y) (* (* 4.0 y) y)) (* (pow x 2) (* (* 4.0 y) y))))) (* (- (pow x 2) (* (* 4.0 y) y)) (- (pow x 2) (* (* 4.0 y) y))) (/ (exp (* x x)) (exp (* (* 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))) (- (pow (* x x) 3) (pow (* (* 4.0 y) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* 4.0 y) y) (* (* 4.0 y) y)) (* (* x x) (* (* 4.0 y) y)))) (- (* (* 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)) -1.0 1 1 -1.0 1 1 -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))) 4.579 * * [simplify]: iteration 0: 139 enodes 4.604 * * [simplify]: iteration 1: 366 enodes 4.785 * * [simplify]: iteration 2: 2176 enodes 5.661 * * [simplify]: iteration complete: 5001 enodes 5.661 * * [simplify]: Extracting #0: cost 71 inf + 0 5.663 * * [simplify]: Extracting #1: cost 483 inf + 2 5.670 * * [simplify]: Extracting #2: cost 1486 inf + 31 5.680 * * [simplify]: Extracting #3: cost 1265 inf + 4893 5.692 * * [simplify]: Extracting #4: cost 264 inf + 19841 5.706 * * [simplify]: Extracting #5: cost 72 inf + 23354 5.718 * * [simplify]: Extracting #6: cost 9 inf + 23630 5.734 * * [simplify]: Extracting #7: cost 0 inf + 23705 5.747 * [simplify]: Simplified to: (log (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0)))) (log (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0)))) (exp (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0)))) (pow (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0))) 3) (* (cbrt (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0)))) (cbrt (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0))))) (cbrt (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0)))) (pow (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0))) 3) (sqrt (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0)))) (sqrt (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0)))) (+ (* (- x) x) (* (* y y) 4.0)) (- (* (- x) x) (* (* y y) 4.0)) (/ (* x x) (+ (* x x) (* (* y y) 4.0))) (/ (* (* y y) 4.0) (+ (* x x) (* (* y y) 4.0))) (* (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (+ (* x x) (* (* y y) 4.0)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (+ (* x x) (* (* y y) 4.0))))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (+ (* x x) (* (* y y) 4.0)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (/ (sqrt (+ (* x x) (* (* y y) 4.0))) (cbrt (- (* x x) (* (* y y) 4.0))))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (sqrt (+ (* x x) (* (* y y) 4.0)))) (* (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (- (* x x) (* (* y y) 4.0)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (+ (* x x) (* (* y y) 4.0))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (* (cbrt (+ (* x x) (* (* y y) 4.0))) (cbrt (+ (* x x) (* (* y y) 4.0))))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (cbrt (+ (* x x) (* (* y y) 4.0)))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (sqrt (+ (* x x) (* (* y y) 4.0)))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (sqrt (+ (* x x) (* (* y y) 4.0)))) (sqrt (- (* x x) (* (* y y) 4.0))) (/ (sqrt (- (* x x) (* (* y y) 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x) (* (* y y) 4.0)) (sqrt (- (* x x) (* (* y y) 4.0)))) 1 (/ (+ (* x x) (* (* y y) 4.0)) (- (* x x) (* (* y y) 4.0))) (/ 1 (- (* x x) (* (* y y) 4.0))) (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0))) (/ (+ (* x x) (* (* y y) 4.0)) (* (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (- (* x x) (* (* y y) 4.0))))) (/ (+ (* x x) (* (* y y) 4.0)) (sqrt (- (* x x) (* (* y y) 4.0)))) (+ (* x x) (* (* y y) 4.0)) (/ (- (* x x) (* (* y y) 4.0)) (cbrt (+ (* x x) (* (* y y) 4.0)))) (/ (- (* x x) (* (* y y) 4.0)) (sqrt (+ (* x x) (* (* y y) 4.0)))) (/ (- (* x x) (* (* y y) 4.0)) (+ (* x x) (* (* y y) 4.0))) (/ (+ (* x x) (* (* y y) 4.0)) (- (pow x 6) (pow (* (* y y) 4.0) 3))) (/ 1 (- (* x x) (* (* y y) 4.0))) (* (- (* x x) (* (* y y) 4.0)) (+ (pow x 4) (* (* y y) (* 4.0 (- (* (* y y) 4.0) (* x x)))))) (* (- (* x x) (* (* y y) 4.0)) (- (* x x) (* (* y y) 4.0))) (exp (- (* x x) (* (* y y) 4.0))) (log (- (* x x) (* (* y y) 4.0))) (exp (- (* x x) (* (* y y) 4.0))) (* (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (- (* x x) (* (* y y) 4.0)))) (cbrt (- (* x x) (* (* y y) 4.0))) (pow (- (* x x) (* (* y y) 4.0)) 3) (sqrt (- (* x x) (* (* y y) 4.0))) (sqrt (- (* x x) (* (* y y) 4.0))) (- (pow x 6) (pow (* (* y y) 4.0) 3)) (+ (pow x 4) (* y (* (* 4.0 y) (+ (* x x) (* (* y y) 4.0))))) (* (* 4.0 y) (- y)) (- (pow x 4) (* (* 4.0 4.0) (pow y (* 2 2)))) (+ (* x x) (* (* y y) 4.0)) (* (* 4.0 y) (- y)) -1.0 1 1 -1.0 1 1 -1.0 1 1 (- (* x x) (* (* y y) 4.0)) (- (* x x) (* (* y y) 4.0)) (- (* x x) (* (* y y) 4.0)) 5.749 * * * [progress]: adding candidates to table 6.787 * * [progress]: iteration 4 / 4 6.787 * * * [progress]: picking best candidate 6.791 * * * * [pick]: Picked # 6.791 * * * [progress]: localizing error 6.792 * * * [progress]: generating rewritten candidates 6.792 * * * [progress]: generating series expansions 6.792 * * * [progress]: simplifying candidates 6.792 * [simplify]: Simplifying: 6.792 * * [simplify]: iteration 0: 0 enodes 6.792 * * [simplify]: iteration complete: 0 enodes 6.792 * * [simplify]: Extracting #0: cost 0 inf + 0 6.792 * [simplify]: Simplified to: 6.792 * * * [progress]: adding candidates to table 6.792 * [progress]: [Phase 3 of 3] Extracting. 6.792 * * [regime]: Finding splitpoints for: (# # # # #) 6.793 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 6.793 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 6.835 * * * * [regimes]: Trying to branch on y from (# # # # #) 6.931 * * * * [regimes]: Trying to branch on x from (# # # # #) 7.026 * * * [regime]: Found split indices: #