29.224 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.022 * * [simplify]: iteration 0: 9 enodes 0.025 * * [simplify]: iteration 1: 17 enodes 0.029 * * [simplify]: iteration 2: 35 enodes 0.035 * * [simplify]: iteration 3: 67 enodes 0.046 * * [simplify]: iteration 4: 116 enodes 0.074 * * [simplify]: iteration 5: 169 enodes 0.116 * * [simplify]: iteration 6: 198 enodes 0.170 * * [simplify]: iteration 7: 202 enodes 0.219 * * [simplify]: iteration complete: 202 enodes 0.220 * * [simplify]: Extracting #0: cost 1 inf + 0 0.220 * * [simplify]: Extracting #1: cost 6 inf + 0 0.220 * * [simplify]: Extracting #2: cost 36 inf + 0 0.220 * * [simplify]: Extracting #3: cost 24 inf + 35 0.220 * * [simplify]: Extracting #4: cost 6 inf + 262 0.220 * * [simplify]: Extracting #5: cost 0 inf + 338 0.221 * [simplify]: Simplified to: (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) 0.227 * * [progress]: iteration 1 / 4 0.227 * * * [progress]: picking best candidate 0.233 * * * * [pick]: Picked # 0.233 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.296 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.307 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.328 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.352 * * * [progress]: generating series expansions 0.352 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.353 * [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))) 0.353 * [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 0.353 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 0.353 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [backup-simplify]: Simplify x into x 0.353 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of 4.0 in y 0.353 * [backup-simplify]: Simplify 4.0 into 4.0 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 0.353 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of 4.0 in y 0.353 * [backup-simplify]: Simplify 4.0 into 4.0 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [backup-simplify]: Simplify x into x 0.353 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.354 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.354 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.354 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.354 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.354 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.354 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of 4.0 in x 0.354 * [backup-simplify]: Simplify 4.0 into 4.0 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [backup-simplify]: Simplify y into y 0.354 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of 4.0 in x 0.354 * [backup-simplify]: Simplify 4.0 into 4.0 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.355 * [backup-simplify]: Simplify y into y 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.355 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.355 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.355 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.355 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.355 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.356 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.356 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.356 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.356 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of 4.0 in x 0.356 * [backup-simplify]: Simplify 4.0 into 4.0 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [backup-simplify]: Simplify y into y 0.356 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of 4.0 in x 0.356 * [backup-simplify]: Simplify 4.0 into 4.0 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [backup-simplify]: Simplify y into y 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.357 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.357 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.357 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.357 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.357 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.357 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.358 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.358 * [taylor]: Taking taylor expansion of -1.0 in y 0.358 * [backup-simplify]: Simplify -1.0 into -1.0 0.358 * [backup-simplify]: Simplify -1.0 into -1.0 0.358 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.359 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.360 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.361 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 1 0) into 1 0.366 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (+ 0 1) into 1 0.368 * [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))) 0.368 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of 0.5 in y 0.368 * [backup-simplify]: Simplify 0.5 into 0.5 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify -1.0 into -1.0 0.380 * [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)))) 0.380 * [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 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [backup-simplify]: Simplify x into x 0.380 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.381 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of 4.0 in y 0.381 * [backup-simplify]: Simplify 4.0 into 4.0 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.382 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (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 (/ 1 (pow y 2)) in y 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 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [backup-simplify]: Simplify x into x 0.383 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.383 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.384 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.384 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.385 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.385 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.386 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.386 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 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 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.387 * [taylor]: Taking taylor expansion of 4.0 in x 0.387 * [backup-simplify]: Simplify 4.0 into 4.0 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [backup-simplify]: Simplify y into y 0.387 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.388 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.388 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.388 * [taylor]: Taking taylor expansion of 4.0 in x 0.388 * [backup-simplify]: Simplify 4.0 into 4.0 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [backup-simplify]: Simplify y into y 0.388 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.388 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.389 * [backup-simplify]: Simplify (+ 0 1) into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.391 * [taylor]: Taking taylor expansion of 4.0 in x 0.391 * [backup-simplify]: Simplify 4.0 into 4.0 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [backup-simplify]: Simplify y into y 0.391 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.391 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.391 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.391 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.391 * [taylor]: Taking taylor expansion of 4.0 in x 0.391 * [backup-simplify]: Simplify 4.0 into 4.0 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [backup-simplify]: Simplify y into y 0.391 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.391 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (+ 0 1) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of 1 in y 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.399 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.400 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.400 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.402 * [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)))) 0.403 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.403 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.403 * [taylor]: Taking taylor expansion of 8.0 in y 0.403 * [backup-simplify]: Simplify 8.0 into 8.0 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [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 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [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)))) 0.416 * [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 0.416 * [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 0.416 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [backup-simplify]: Simplify x into x 0.416 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.416 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.416 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.416 * [taylor]: Taking taylor expansion of 4.0 in y 0.417 * [backup-simplify]: Simplify 4.0 into 4.0 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.417 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.417 * [taylor]: Taking taylor expansion of 4.0 in y 0.417 * [backup-simplify]: Simplify 4.0 into 4.0 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 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 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [backup-simplify]: Simplify x into x 0.418 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.418 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.419 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.419 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.420 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.420 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.421 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.421 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 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 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.422 * [taylor]: Taking taylor expansion of 4.0 in x 0.422 * [backup-simplify]: Simplify 4.0 into 4.0 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.422 * [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 0.423 * [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 (/ 1 (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (+ 0 1) into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [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 0.425 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of 4.0 in x 0.426 * [backup-simplify]: Simplify 4.0 into 4.0 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [backup-simplify]: Simplify y into y 0.426 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.426 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.426 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.426 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of 4.0 in x 0.426 * [backup-simplify]: Simplify 4.0 into 4.0 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.427 * [backup-simplify]: Simplify y into y 0.427 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.427 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [backup-simplify]: Simplify (+ 0 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [taylor]: Taking taylor expansion of 1 in y 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.435 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.435 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.435 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.438 * [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)))) 0.438 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.438 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.438 * [taylor]: Taking taylor expansion of 8.0 in y 0.438 * [backup-simplify]: Simplify 8.0 into 8.0 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [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 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.450 * [backup-simplify]: Simplify (- (* x x) (* 4.0 (* y y))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.450 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.450 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [backup-simplify]: Simplify x into x 0.451 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of 4.0 in y 0.451 * [backup-simplify]: Simplify 4.0 into 4.0 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.451 * [taylor]: Taking taylor expansion of 4.0 in x 0.451 * [backup-simplify]: Simplify 4.0 into 4.0 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [backup-simplify]: Simplify y into y 0.451 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.451 * [taylor]: Taking taylor expansion of 4.0 in x 0.451 * [backup-simplify]: Simplify 4.0 into 4.0 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [backup-simplify]: Simplify y into y 0.451 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.451 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.452 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.452 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.452 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.452 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of 4.0 in y 0.452 * [backup-simplify]: Simplify 4.0 into 4.0 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.453 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify (+ 1 0) into 1 0.456 * [taylor]: Taking taylor expansion of 1 in y 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.457 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.457 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.464 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* 4.0 (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.464 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [backup-simplify]: Simplify x into x 0.464 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.464 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.464 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.464 * [taylor]: Taking taylor expansion of 4.0 in y 0.464 * [backup-simplify]: Simplify 4.0 into 4.0 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 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)))) 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 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.465 * [taylor]: Taking taylor expansion of 4.0 in x 0.465 * [backup-simplify]: Simplify 4.0 into 4.0 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [backup-simplify]: Simplify y into y 0.465 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.465 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 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 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [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)) 0.467 * [backup-simplify]: Simplify (+ 1 0) into 1 0.467 * [taylor]: Taking taylor expansion of 1 in y 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.469 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.469 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.469 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.469 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.469 * [taylor]: Taking taylor expansion of 4.0 in y 0.469 * [backup-simplify]: Simplify 4.0 into 4.0 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (* 1 1) into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.470 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.470 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [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))) 0.480 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* 4.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.481 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [backup-simplify]: Simplify x into x 0.481 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.481 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.481 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.481 * [taylor]: Taking taylor expansion of 4.0 in y 0.481 * [backup-simplify]: Simplify 4.0 into 4.0 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.482 * [taylor]: Taking taylor expansion of 4.0 in x 0.482 * [backup-simplify]: Simplify 4.0 into 4.0 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [backup-simplify]: Simplify y into y 0.482 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.482 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.483 * [taylor]: Taking taylor expansion of 4.0 in x 0.483 * [backup-simplify]: Simplify 4.0 into 4.0 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [backup-simplify]: Simplify y into y 0.483 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.483 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.483 * [backup-simplify]: Simplify (+ 1 0) into 1 0.483 * [taylor]: Taking taylor expansion of 1 in y 0.483 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.487 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.487 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.487 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.487 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.487 * [taylor]: Taking taylor expansion of 4.0 in y 0.487 * [backup-simplify]: Simplify 4.0 into 4.0 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.488 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.489 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [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 (- 0) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.495 * [backup-simplify]: Simplify (- 0) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [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))) 0.498 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.498 * [backup-simplify]: Simplify (* 4.0 (* y y)) into (* 4.0 (pow y 2)) 0.498 * [approximate]: Taking taylor expansion of (* 4.0 (pow y 2)) in (y) around 0 0.498 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of 4.0 in y 0.498 * [backup-simplify]: Simplify 4.0 into 4.0 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of 4.0 in y 0.498 * [backup-simplify]: Simplify 4.0 into 4.0 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.499 * [backup-simplify]: Simplify 4.0 into 4.0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.507 * [backup-simplify]: Simplify (* 4.0 (* (/ 1 y) (/ 1 y))) into (/ 4.0 (pow y 2)) 0.507 * [approximate]: Taking taylor expansion of (/ 4.0 (pow y 2)) in (y) around 0 0.507 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.507 * [taylor]: Taking taylor expansion of 4.0 in y 0.507 * [backup-simplify]: Simplify 4.0 into 4.0 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.508 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.508 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of 4.0 in y 0.508 * [backup-simplify]: Simplify 4.0 into 4.0 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (* 1 1) into 1 0.508 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.508 * [backup-simplify]: Simplify 4.0 into 4.0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.515 * [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 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (* 4.0 (pow (/ 1 (/ 1 y)) 2)) into (* 4.0 (pow y 2)) 0.516 * [backup-simplify]: Simplify (* 4.0 (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 4.0 (pow y 2)) 0.516 * [approximate]: Taking taylor expansion of (/ 4.0 (pow y 2)) in (y) around 0 0.516 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.516 * [taylor]: Taking taylor expansion of 4.0 in y 0.516 * [backup-simplify]: Simplify 4.0 into 4.0 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.516 * [taylor]: Taking taylor expansion of y in y 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 0.516 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.516 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.516 * [taylor]: Taking taylor expansion of 4.0 in y 0.517 * [backup-simplify]: Simplify 4.0 into 4.0 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.517 * [backup-simplify]: Simplify 4.0 into 4.0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.524 * [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 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (* 4.0 (pow (/ 1 (/ 1 (- y))) 2)) into (* 4.0 (pow y 2)) 0.525 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.525 * [backup-simplify]: Simplify (* 4.0 (* y y)) into (* 4.0 (pow y 2)) 0.525 * [approximate]: Taking taylor expansion of (* 4.0 (pow y 2)) in (y) around 0 0.525 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of 4.0 in y 0.525 * [backup-simplify]: Simplify 4.0 into 4.0 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of 4.0 in y 0.525 * [backup-simplify]: Simplify 4.0 into 4.0 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.526 * [backup-simplify]: Simplify 4.0 into 4.0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.526 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.528 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.534 * [backup-simplify]: Simplify (* 4.0 (* (/ 1 y) (/ 1 y))) into (/ 4.0 (pow y 2)) 0.534 * [approximate]: Taking taylor expansion of (/ 4.0 (pow y 2)) in (y) around 0 0.534 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.534 * [taylor]: Taking taylor expansion of 4.0 in y 0.534 * [backup-simplify]: Simplify 4.0 into 4.0 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (* 1 1) into 1 0.535 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.535 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of 4.0 in y 0.535 * [backup-simplify]: Simplify 4.0 into 4.0 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (* 1 1) into 1 0.536 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.536 * [backup-simplify]: Simplify 4.0 into 4.0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.543 * [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 0.543 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (* 4.0 (pow (/ 1 (/ 1 y)) 2)) into (* 4.0 (pow y 2)) 0.544 * [backup-simplify]: Simplify (* 4.0 (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 4.0 (pow y 2)) 0.544 * [approximate]: Taking taylor expansion of (/ 4.0 (pow y 2)) in (y) around 0 0.544 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of 4.0 in y 0.544 * [backup-simplify]: Simplify 4.0 into 4.0 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.544 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of 4.0 in y 0.545 * [backup-simplify]: Simplify 4.0 into 4.0 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 0.545 * [backup-simplify]: Simplify 4.0 into 4.0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.553 * [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 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (* 4.0 (pow (/ 1 (/ 1 (- y))) 2)) into (* 4.0 (pow y 2)) 0.553 * * * [progress]: simplifying candidates 0.554 * [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)) 0.555 * * [simplify]: iteration 0: 107 enodes 0.577 * * [simplify]: iteration 1: 315 enodes 0.765 * * [simplify]: iteration 2: 1789 enodes 1.428 * * [simplify]: iteration complete: 5000 enodes 1.428 * * [simplify]: Extracting #0: cost 58 inf + 0 1.430 * * [simplify]: Extracting #1: cost 477 inf + 2 1.434 * * [simplify]: Extracting #2: cost 1734 inf + 110 1.440 * * [simplify]: Extracting #3: cost 1204 inf + 4643 1.447 * * [simplify]: Extracting #4: cost 276 inf + 14337 1.454 * * [simplify]: Extracting #5: cost 39 inf + 18024 1.465 * * [simplify]: Extracting #6: cost 3 inf + 18411 1.477 * * [simplify]: Extracting #7: cost 0 inf + 18430 1.488 * [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) 1.488 * * * [progress]: adding candidates to table 1.973 * * [progress]: iteration 2 / 4 1.973 * * * [progress]: picking best candidate 1.995 * * * * [pick]: Picked # 1.995 * * * [progress]: localizing error 2.022 * * * [progress]: generating rewritten candidates 2.022 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.042 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.071 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.090 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.107 * * * [progress]: generating series expansions 2.107 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.108 * [backup-simplify]: Simplify (/ (+ (* x x) (* (* 4.0 y) y)) y) into (/ (+ (* 4.0 (pow y 2)) (pow x 2)) y) 2.108 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) y) in (x y) around 0 2.108 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) y) in y 2.108 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.108 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.108 * [taylor]: Taking taylor expansion of 4.0 in y 2.108 * [backup-simplify]: Simplify 4.0 into 4.0 2.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.108 * [taylor]: Taking taylor expansion of y in y 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.108 * [taylor]: Taking taylor expansion of x in y 2.108 * [backup-simplify]: Simplify x into x 2.108 * [taylor]: Taking taylor expansion of y in y 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.108 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.108 * [backup-simplify]: Simplify (/ (pow x 2) 1) into (pow x 2) 2.108 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) y) in x 2.108 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.108 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.108 * [taylor]: Taking taylor expansion of 4.0 in x 2.108 * [backup-simplify]: Simplify 4.0 into 4.0 2.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.108 * [taylor]: Taking taylor expansion of y in x 2.108 * [backup-simplify]: Simplify y into y 2.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of y in x 2.108 * [backup-simplify]: Simplify y into y 2.108 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.108 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.108 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.109 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) y) into (* 4.0 y) 2.109 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) y) in x 2.109 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.109 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.109 * [taylor]: Taking taylor expansion of 4.0 in x 2.109 * [backup-simplify]: Simplify 4.0 into 4.0 2.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.109 * [taylor]: Taking taylor expansion of y in x 2.109 * [backup-simplify]: Simplify y into y 2.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of y in x 2.109 * [backup-simplify]: Simplify y into y 2.109 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.109 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.109 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.109 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) y) into (* 4.0 y) 2.109 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 2.109 * [taylor]: Taking taylor expansion of 4.0 in y 2.109 * [backup-simplify]: Simplify 4.0 into 4.0 2.109 * [taylor]: Taking taylor expansion of y in y 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.110 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.110 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (* 4.0 y) (/ 0 y)))) into 0 2.110 * [taylor]: Taking taylor expansion of 0 in y 2.110 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (* 4.0 0) into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.112 * [backup-simplify]: Simplify (* 1 1) into 1 2.112 * [backup-simplify]: Simplify (+ 0 1) into 1 2.112 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* (* 4.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into (/ 1 y) 2.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.113 * [taylor]: Taking taylor expansion of y in y 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (/ 1 1) into 1 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 2.114 * [backup-simplify]: Simplify 4.0 into 4.0 2.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (* 4.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 2.117 * [taylor]: Taking taylor expansion of 0 in y 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.121 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.122 * [backup-simplify]: Simplify (+ 0 0) into 0 2.122 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (* 4.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.122 * [taylor]: Taking taylor expansion of 0 in y 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (+ (* 4.0 (* y 1)) (* 1 (* (/ 1 y) (pow x 2)))) into (+ (* 4.0 y) (/ (pow x 2) y)) 2.123 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (/ 1 y)) into (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y) 2.123 * [approximate]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y) in (x y) around 0 2.123 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y) in y 2.123 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.123 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.123 * [taylor]: Taking taylor expansion of 4.0 in y 2.123 * [backup-simplify]: Simplify 4.0 into 4.0 2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.123 * [taylor]: Taking taylor expansion of y in y 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (* 1 1) into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.124 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.124 * [taylor]: Taking taylor expansion of x in y 2.124 * [backup-simplify]: Simplify x into x 2.124 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.124 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.124 * [taylor]: Taking taylor expansion of y in y 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y) in x 2.124 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.124 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.124 * [taylor]: Taking taylor expansion of 4.0 in x 2.124 * [backup-simplify]: Simplify 4.0 into 4.0 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.124 * [taylor]: Taking taylor expansion of y in x 2.124 * [backup-simplify]: Simplify y into y 2.124 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.124 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.124 * [taylor]: Taking taylor expansion of x in x 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (* 1 1) into 1 2.125 * [backup-simplify]: Simplify (/ 1 1) into 1 2.125 * [taylor]: Taking taylor expansion of y in x 2.125 * [backup-simplify]: Simplify y into y 2.125 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y) in x 2.125 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.125 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.125 * [taylor]: Taking taylor expansion of 4.0 in x 2.125 * [backup-simplify]: Simplify 4.0 into 4.0 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.125 * [taylor]: Taking taylor expansion of y in x 2.125 * [backup-simplify]: Simplify y into y 2.125 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.125 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (* 1 1) into 1 2.126 * [backup-simplify]: Simplify (/ 1 1) into 1 2.126 * [taylor]: Taking taylor expansion of y in x 2.126 * [backup-simplify]: Simplify y into y 2.126 * [backup-simplify]: Simplify (+ 0 1) into 1 2.126 * [backup-simplify]: Simplify (* 1 y) into y 2.126 * [taylor]: Taking taylor expansion of y in y 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 2.128 * [taylor]: Taking taylor expansion of 0 in y 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) y))) into (* 4.0 (/ 1 y)) 2.134 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in y 2.134 * [taylor]: Taking taylor expansion of 4.0 in y 2.134 * [backup-simplify]: Simplify 4.0 into 4.0 2.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.135 * [taylor]: Taking taylor expansion of y in y 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (/ 1 1) into 1 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.136 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (* 0 y)))) into 0 2.139 * [taylor]: Taking taylor expansion of 0 in y 2.139 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.140 * [backup-simplify]: Simplify 4.0 into 4.0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ 0 0) into 0 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 0) (* 0 y))))) into 0 2.146 * [taylor]: Taking taylor expansion of 0 in y 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.150 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2)))))) into 0 2.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (+ 0 0) into 0 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.155 * [taylor]: Taking taylor expansion of 0 in y 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 y) (pow (/ 1 x) -2))) (* 4.0 (* (/ 1 (/ 1 y)) 1))) into (+ (* 4.0 y) (/ (pow x 2) y)) 2.157 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (/ 1 (- y))) into (* -1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y)) 2.157 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y)) in (x y) around 0 2.157 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y)) in y 2.158 * [taylor]: Taking taylor expansion of -1 in y 2.158 * [backup-simplify]: Simplify -1 into -1 2.158 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y) in y 2.158 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.158 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.158 * [taylor]: Taking taylor expansion of 4.0 in y 2.158 * [backup-simplify]: Simplify 4.0 into 4.0 2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.158 * [taylor]: Taking taylor expansion of y in y 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (* 1 1) into 1 2.159 * [backup-simplify]: Simplify (/ 1 1) into 1 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.159 * [taylor]: Taking taylor expansion of x in y 2.159 * [backup-simplify]: Simplify x into x 2.159 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.159 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.159 * [taylor]: Taking taylor expansion of y in y 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.159 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y)) in x 2.159 * [taylor]: Taking taylor expansion of -1 in x 2.159 * [backup-simplify]: Simplify -1 into -1 2.159 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y) in x 2.159 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.159 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.159 * [taylor]: Taking taylor expansion of 4.0 in x 2.159 * [backup-simplify]: Simplify 4.0 into 4.0 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.159 * [taylor]: Taking taylor expansion of y in x 2.159 * [backup-simplify]: Simplify y into y 2.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.160 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.160 * [taylor]: Taking taylor expansion of x in x 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (* 1 1) into 1 2.160 * [backup-simplify]: Simplify (/ 1 1) into 1 2.160 * [taylor]: Taking taylor expansion of y in x 2.160 * [backup-simplify]: Simplify y into y 2.160 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y)) in x 2.160 * [taylor]: Taking taylor expansion of -1 in x 2.160 * [backup-simplify]: Simplify -1 into -1 2.160 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) y) in x 2.160 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.160 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.160 * [taylor]: Taking taylor expansion of 4.0 in x 2.160 * [backup-simplify]: Simplify 4.0 into 4.0 2.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.160 * [taylor]: Taking taylor expansion of y in x 2.160 * [backup-simplify]: Simplify y into y 2.160 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.160 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.161 * [taylor]: Taking taylor expansion of x in x 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (* 1 1) into 1 2.161 * [backup-simplify]: Simplify (/ 1 1) into 1 2.161 * [taylor]: Taking taylor expansion of y in x 2.161 * [backup-simplify]: Simplify y into y 2.161 * [backup-simplify]: Simplify (+ 0 1) into 1 2.161 * [backup-simplify]: Simplify (* 1 y) into y 2.161 * [backup-simplify]: Simplify (* -1 y) into (* -1 y) 2.161 * [taylor]: Taking taylor expansion of (* -1 y) in y 2.162 * [taylor]: Taking taylor expansion of -1 in y 2.162 * [backup-simplify]: Simplify -1 into -1 2.162 * [taylor]: Taking taylor expansion of y in y 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 2.163 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 y)) into 0 2.163 * [taylor]: Taking taylor expansion of 0 in y 2.163 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) y))) into (* 4.0 (/ 1 y)) 2.166 * [backup-simplify]: Simplify (+ (* -1 (* 4.0 (/ 1 y))) (+ (* 0 0) (* 0 y))) into (- (* 4.0 (/ 1 y))) 2.166 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 y))) in y 2.166 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in y 2.166 * [taylor]: Taking taylor expansion of 4.0 in y 2.166 * [backup-simplify]: Simplify 4.0 into 4.0 2.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.166 * [taylor]: Taking taylor expansion of y in y 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (/ 1 1) into 1 2.166 * [backup-simplify]: Simplify (* -1 0) into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.167 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (* 0 y)))) into 0 2.171 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 4.0 (/ 1 y))) (+ (* 0 0) (* 0 y)))) into 0 2.171 * [taylor]: Taking taylor expansion of 0 in y 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.172 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.172 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.173 * [backup-simplify]: Simplify -1 into -1 2.174 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.175 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 0) (* 0 y))))) into 0 2.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* 4.0 (/ 1 y))) (+ (* 0 0) (* 0 y))))) into 0 2.179 * [taylor]: Taking taylor expansion of 0 in y 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.181 * [backup-simplify]: Simplify (- 0) into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.185 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2)))))) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.190 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 4.0 (/ 1 y))) (+ (* 0 0) (* 0 y)))))) into 0 2.190 * [taylor]: Taking taylor expansion of 0 in y 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.192 * [backup-simplify]: Simplify (- 0) into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (- y)) (pow (/ 1 (- x)) -2))) (* (- 4.0) (* (/ 1 (/ 1 (- y))) 1))) into (+ (* 4.0 y) (/ (pow x 2) y)) 2.193 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.193 * [backup-simplify]: Simplify (/ (+ (* x x) (* (* 4.0 y) y)) x) into (/ (+ (* 4.0 (pow y 2)) (pow x 2)) x) 2.193 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) x) in (x y) around 0 2.193 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) x) in y 2.193 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.193 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.193 * [taylor]: Taking taylor expansion of 4.0 in y 2.193 * [backup-simplify]: Simplify 4.0 into 4.0 2.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.193 * [taylor]: Taking taylor expansion of y in y 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.193 * [taylor]: Taking taylor expansion of x in y 2.194 * [backup-simplify]: Simplify x into x 2.194 * [taylor]: Taking taylor expansion of x in y 2.194 * [backup-simplify]: Simplify x into x 2.194 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.194 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.194 * [backup-simplify]: Simplify (/ (pow x 2) x) into x 2.194 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) x) in x 2.194 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.194 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.194 * [taylor]: Taking taylor expansion of 4.0 in x 2.194 * [backup-simplify]: Simplify 4.0 into 4.0 2.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.194 * [taylor]: Taking taylor expansion of y in x 2.194 * [backup-simplify]: Simplify y into y 2.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.194 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.195 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.195 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) 1) into (* 4.0 (pow y 2)) 2.195 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) x) in x 2.195 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.195 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.195 * [taylor]: Taking taylor expansion of 4.0 in x 2.195 * [backup-simplify]: Simplify 4.0 into 4.0 2.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.195 * [taylor]: Taking taylor expansion of y in x 2.195 * [backup-simplify]: Simplify y into y 2.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.195 * [taylor]: Taking taylor expansion of x in x 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [taylor]: Taking taylor expansion of x in x 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.195 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.196 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.196 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) 1) into (* 4.0 (pow y 2)) 2.196 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.196 * [taylor]: Taking taylor expansion of 4.0 in y 2.196 * [backup-simplify]: Simplify 4.0 into 4.0 2.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.196 * [taylor]: Taking taylor expansion of y in y 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.197 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 4.0 (pow y 2)) (/ 0 1)))) into 0 2.198 * [taylor]: Taking taylor expansion of 0 in y 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 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 2.199 * [backup-simplify]: Simplify (* 1 1) into 1 2.200 * [backup-simplify]: Simplify (+ 0 1) into 1 2.201 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* (* 4.0 (pow y 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 1 2.201 * [taylor]: Taking taylor expansion of 1 in y 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (* 1 1) into 1 2.202 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.202 * [backup-simplify]: Simplify 4.0 into 4.0 2.203 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.205 * [backup-simplify]: Simplify (+ 0 0) into 0 2.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 4.0 (pow y 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.207 * [taylor]: Taking taylor expansion of 0 in y 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.208 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.211 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 4.0 (pow y 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.214 * [taylor]: Taking taylor expansion of 0 in y 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (+ (* 4.0 (* (pow y 2) (/ 1 x))) (* 1 (* 1 x))) into (+ x (* 4.0 (/ (pow y 2) x))) 2.215 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (/ 1 x)) into (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x) 2.215 * [approximate]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x) in (x y) around 0 2.215 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x) in y 2.215 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.215 * [taylor]: Taking taylor expansion of 4.0 in y 2.215 * [backup-simplify]: Simplify 4.0 into 4.0 2.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.215 * [taylor]: Taking taylor expansion of y in y 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (* 1 1) into 1 2.216 * [backup-simplify]: Simplify (/ 1 1) into 1 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.216 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.216 * [taylor]: Taking taylor expansion of x in y 2.216 * [backup-simplify]: Simplify x into x 2.216 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.216 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.216 * [taylor]: Taking taylor expansion of x in y 2.216 * [backup-simplify]: Simplify x into x 2.216 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x) in x 2.216 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.216 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.216 * [taylor]: Taking taylor expansion of 4.0 in x 2.216 * [backup-simplify]: Simplify 4.0 into 4.0 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.216 * [taylor]: Taking taylor expansion of y in x 2.216 * [backup-simplify]: Simplify y into y 2.216 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.217 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.217 * [taylor]: Taking taylor expansion of x in x 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.217 * [backup-simplify]: Simplify (* 1 1) into 1 2.217 * [backup-simplify]: Simplify (/ 1 1) into 1 2.217 * [taylor]: Taking taylor expansion of x in x 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.217 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x) in x 2.218 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.218 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.218 * [taylor]: Taking taylor expansion of 4.0 in x 2.218 * [backup-simplify]: Simplify 4.0 into 4.0 2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.218 * [taylor]: Taking taylor expansion of y in x 2.218 * [backup-simplify]: Simplify y into y 2.218 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.218 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.218 * [taylor]: Taking taylor expansion of x in x 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 2.219 * [backup-simplify]: Simplify (/ 1 1) into 1 2.219 * [taylor]: Taking taylor expansion of x in x 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (+ 0 1) into 1 2.220 * [backup-simplify]: Simplify (* 1 0) into 0 2.220 * [taylor]: Taking taylor expansion of 0 in y 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 2.222 * [taylor]: Taking taylor expansion of 1 in y 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (* 4.0 (/ 1 (pow y 2))) 0))) into 0 2.225 * [taylor]: Taking taylor expansion of 0 in y 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.226 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 1) (* 0 0)))) into (* 4.0 (/ 1 (pow y 2))) 2.229 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.229 * [taylor]: Taking taylor expansion of 4.0 in y 2.229 * [backup-simplify]: Simplify 4.0 into 4.0 2.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.229 * [taylor]: Taking taylor expansion of y in y 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (* 1 1) into 1 2.230 * [backup-simplify]: Simplify (/ 1 1) into 1 2.230 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.230 * [backup-simplify]: Simplify 4.0 into 4.0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (+ 0 0) into 0 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 1) (* 0 0))))) into 0 2.236 * [taylor]: Taking taylor expansion of 0 in y 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.240 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2)))))) into 0 2.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.244 * [taylor]: Taking taylor expansion of 0 in y 2.244 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 4.0 (* (pow (/ 1 y) -2) (/ 1 x)))) into (+ x (* 4.0 (/ (pow y 2) x))) 2.247 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (/ 1 (- x))) into (* -1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x)) 2.247 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x)) in (x y) around 0 2.247 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x)) in y 2.247 * [taylor]: Taking taylor expansion of -1 in y 2.247 * [backup-simplify]: Simplify -1 into -1 2.247 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x) in y 2.247 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.247 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.247 * [taylor]: Taking taylor expansion of 4.0 in y 2.247 * [backup-simplify]: Simplify 4.0 into 4.0 2.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.248 * [taylor]: Taking taylor expansion of y in y 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.248 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.248 * [taylor]: Taking taylor expansion of x in y 2.248 * [backup-simplify]: Simplify x into x 2.248 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.249 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.249 * [taylor]: Taking taylor expansion of x in y 2.249 * [backup-simplify]: Simplify x into x 2.249 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x)) in x 2.249 * [taylor]: Taking taylor expansion of -1 in x 2.249 * [backup-simplify]: Simplify -1 into -1 2.249 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x) in x 2.249 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.249 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.249 * [taylor]: Taking taylor expansion of 4.0 in x 2.249 * [backup-simplify]: Simplify 4.0 into 4.0 2.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.249 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.249 * [taylor]: Taking taylor expansion of y in x 2.249 * [backup-simplify]: Simplify y into y 2.249 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.249 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 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 x in x 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x)) in x 2.250 * [taylor]: Taking taylor expansion of -1 in x 2.250 * [backup-simplify]: Simplify -1 into -1 2.250 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) x) in x 2.250 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 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 (/ 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 * [taylor]: Taking taylor expansion of x in x 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (+ 0 1) into 1 2.253 * [backup-simplify]: Simplify (* 1 0) into 0 2.253 * [backup-simplify]: Simplify (* -1 0) into 0 2.253 * [taylor]: Taking taylor expansion of 0 in y 2.253 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.255 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 2.256 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.256 * [taylor]: Taking taylor expansion of -1 in y 2.256 * [backup-simplify]: Simplify -1 into -1 2.256 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (* 4.0 (/ 1 (pow y 2))) 0))) into 0 2.260 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.260 * [taylor]: Taking taylor expansion of 0 in y 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.260 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 1) (* 0 0)))) into (* 4.0 (/ 1 (pow y 2))) 2.266 * [backup-simplify]: Simplify (+ (* -1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.266 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 2.266 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.266 * [taylor]: Taking taylor expansion of 4.0 in y 2.266 * [backup-simplify]: Simplify 4.0 into 4.0 2.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.267 * [taylor]: Taking taylor expansion of y in y 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (* 1 1) into 1 2.267 * [backup-simplify]: Simplify (/ 1 1) into 1 2.268 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.268 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.268 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.269 * [backup-simplify]: Simplify -1 into -1 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 1) (* 0 0))))) into 0 2.275 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.275 * [taylor]: Taking taylor expansion of 0 in y 2.275 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.277 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.277 * [backup-simplify]: Simplify (- 0) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.280 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2)))))) into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (+ 0 0) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.285 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.285 * [taylor]: Taking taylor expansion of 0 in y 2.285 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.287 * [backup-simplify]: Simplify (- 0) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* (- 4.0) (* (pow (/ 1 (- y)) -2) (/ 1 (- x))))) into (+ x (* 4.0 (/ (pow y 2) x))) 2.288 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.288 * [backup-simplify]: Simplify (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y)) into (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) 2.288 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in (y x) around 0 2.288 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in x 2.288 * [taylor]: Taking taylor expansion of 4.0 in x 2.288 * [backup-simplify]: Simplify 4.0 into 4.0 2.288 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.288 * [taylor]: Taking taylor expansion of y in x 2.288 * [backup-simplify]: Simplify y into y 2.288 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.288 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.288 * [taylor]: Taking taylor expansion of 4.0 in x 2.288 * [backup-simplify]: Simplify 4.0 into 4.0 2.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.288 * [taylor]: Taking taylor expansion of y in x 2.288 * [backup-simplify]: Simplify y into y 2.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.288 * [taylor]: Taking taylor expansion of x in x 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.288 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.288 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.288 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.289 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 2.289 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in y 2.289 * [taylor]: Taking taylor expansion of 4.0 in y 2.289 * [backup-simplify]: Simplify 4.0 into 4.0 2.289 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 2.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.289 * [taylor]: Taking taylor expansion of y in y 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.289 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.289 * [taylor]: Taking taylor expansion of 4.0 in y 2.289 * [backup-simplify]: Simplify 4.0 into 4.0 2.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.289 * [taylor]: Taking taylor expansion of y in y 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.289 * [taylor]: Taking taylor expansion of x in y 2.289 * [backup-simplify]: Simplify x into x 2.289 * [backup-simplify]: Simplify (* 1 1) into 1 2.289 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.289 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.289 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.289 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in y 2.290 * [taylor]: Taking taylor expansion of 4.0 in y 2.290 * [backup-simplify]: Simplify 4.0 into 4.0 2.290 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 2.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.290 * [taylor]: Taking taylor expansion of y in y 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.290 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.290 * [taylor]: Taking taylor expansion of 4.0 in y 2.290 * [backup-simplify]: Simplify 4.0 into 4.0 2.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.290 * [taylor]: Taking taylor expansion of y in y 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.290 * [taylor]: Taking taylor expansion of x in y 2.290 * [backup-simplify]: Simplify x into x 2.290 * [backup-simplify]: Simplify (* 1 1) into 1 2.290 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.290 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.290 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.290 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 2.290 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 2.290 * [taylor]: Taking taylor expansion of 4.0 in x 2.290 * [backup-simplify]: Simplify 4.0 into 4.0 2.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.291 * [taylor]: Taking taylor expansion of x in x 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (* 1 1) into 1 2.291 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.294 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.294 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.294 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 2.294 * [taylor]: Taking taylor expansion of 0 in x 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.297 * [backup-simplify]: Simplify (* 1 1) into 1 2.297 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.297 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.297 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.298 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 4.0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 4.0 (/ 1 (pow x 4)))) 2.298 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 4.0 (/ 1 (pow x 4))))) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into (- (* 16.0 (/ 1 (pow x 4)))) 2.298 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 2.298 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 2.298 * [taylor]: Taking taylor expansion of 16.0 in x 2.298 * [backup-simplify]: Simplify 16.0 into 16.0 2.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.298 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.298 * [taylor]: Taking taylor expansion of x in x 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.311 * [backup-simplify]: Simplify (- 0) into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (/ (* 4.0 (/ 1 y)) (/ (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (/ 1 y))) into (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) 2.314 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in (y x) around 0 2.314 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 2.314 * [taylor]: Taking taylor expansion of 4.0 in x 2.314 * [backup-simplify]: Simplify 4.0 into 4.0 2.314 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 2.314 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.314 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.314 * [taylor]: Taking taylor expansion of 4.0 in x 2.314 * [backup-simplify]: Simplify 4.0 into 4.0 2.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.315 * [taylor]: Taking taylor expansion of y in x 2.315 * [backup-simplify]: Simplify y into y 2.315 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.315 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.315 * [taylor]: Taking taylor expansion of x in x 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.316 * [backup-simplify]: Simplify (/ 1 1) into 1 2.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.316 * [taylor]: Taking taylor expansion of y in x 2.316 * [backup-simplify]: Simplify y into y 2.316 * [backup-simplify]: Simplify (+ 0 1) into 1 2.317 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.317 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.317 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 2.317 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 2.317 * [taylor]: Taking taylor expansion of 4.0 in y 2.317 * [backup-simplify]: Simplify 4.0 into 4.0 2.317 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 2.317 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.317 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.317 * [taylor]: Taking taylor expansion of 4.0 in y 2.317 * [backup-simplify]: Simplify 4.0 into 4.0 2.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.317 * [taylor]: Taking taylor expansion of y in y 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (* 1 1) into 1 2.318 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.318 * [taylor]: Taking taylor expansion of x in y 2.318 * [backup-simplify]: Simplify x into x 2.318 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.318 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.318 * [taylor]: Taking taylor expansion of y in y 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.320 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.320 * [backup-simplify]: Simplify (* 1 1) into 1 2.320 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.321 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.321 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 2.321 * [taylor]: Taking taylor expansion of 4.0 in y 2.321 * [backup-simplify]: Simplify 4.0 into 4.0 2.321 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 2.321 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.321 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.321 * [taylor]: Taking taylor expansion of 4.0 in y 2.321 * [backup-simplify]: Simplify 4.0 into 4.0 2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.321 * [taylor]: Taking taylor expansion of y in y 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (* 1 1) into 1 2.322 * [backup-simplify]: Simplify (/ 1 1) into 1 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.322 * [taylor]: Taking taylor expansion of x in y 2.322 * [backup-simplify]: Simplify x into x 2.322 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.322 * [taylor]: Taking taylor expansion of y in y 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.323 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.324 * [backup-simplify]: Simplify (* 1 1) into 1 2.324 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.324 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.324 * [taylor]: Taking taylor expansion of 1.0 in x 2.325 * [backup-simplify]: Simplify 1.0 into 1.0 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.327 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.328 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.329 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 2.329 * [taylor]: Taking taylor expansion of 0 in x 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.333 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.334 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.335 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 2.336 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 2.336 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 2.336 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.336 * [taylor]: Taking taylor expansion of 0.25 in x 2.336 * [backup-simplify]: Simplify 0.25 into 0.25 2.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify 1 into 1 2.337 * [backup-simplify]: Simplify (* 1 1) into 1 2.337 * [backup-simplify]: Simplify (/ 1 1) into 1 2.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (/ (* 4.0 (/ 1 (- y))) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (/ 1 (- y)))) into (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) 2.347 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in (y x) around 0 2.347 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 2.347 * [taylor]: Taking taylor expansion of 4.0 in x 2.347 * [backup-simplify]: Simplify 4.0 into 4.0 2.347 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 2.347 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.347 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.347 * [taylor]: Taking taylor expansion of 4.0 in x 2.347 * [backup-simplify]: Simplify 4.0 into 4.0 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.347 * [taylor]: Taking taylor expansion of y in x 2.347 * [backup-simplify]: Simplify y into y 2.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.347 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.347 * [taylor]: Taking taylor expansion of x in x 2.347 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (* 1 1) into 1 2.348 * [backup-simplify]: Simplify (/ 1 1) into 1 2.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.348 * [taylor]: Taking taylor expansion of y in x 2.348 * [backup-simplify]: Simplify y into y 2.349 * [backup-simplify]: Simplify (+ 0 1) into 1 2.349 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.349 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.349 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 2.349 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 2.349 * [taylor]: Taking taylor expansion of 4.0 in y 2.349 * [backup-simplify]: Simplify 4.0 into 4.0 2.349 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 2.349 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.349 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.349 * [taylor]: Taking taylor expansion of 4.0 in y 2.349 * [backup-simplify]: Simplify 4.0 into 4.0 2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.349 * [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 2.350 * [backup-simplify]: Simplify (/ 1 1) into 1 2.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.350 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.350 * [taylor]: Taking taylor expansion of x in y 2.350 * [backup-simplify]: Simplify x into x 2.351 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.351 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.351 * [taylor]: Taking taylor expansion of y in y 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.352 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.352 * [backup-simplify]: Simplify (* 1 1) into 1 2.353 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.353 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.353 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 2.353 * [taylor]: Taking taylor expansion of 4.0 in y 2.353 * [backup-simplify]: Simplify 4.0 into 4.0 2.353 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 2.353 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.353 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.353 * [taylor]: Taking taylor expansion of 4.0 in y 2.353 * [backup-simplify]: Simplify 4.0 into 4.0 2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.353 * [taylor]: Taking taylor expansion of y in y 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 1 into 1 2.354 * [backup-simplify]: Simplify (* 1 1) into 1 2.354 * [backup-simplify]: Simplify (/ 1 1) into 1 2.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.354 * [taylor]: Taking taylor expansion of x in y 2.354 * [backup-simplify]: Simplify x into x 2.354 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.354 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.354 * [taylor]: Taking taylor expansion of y in y 2.354 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.355 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.356 * [backup-simplify]: Simplify (* 1 1) into 1 2.356 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.357 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.357 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [backup-simplify]: Simplify 1.0 into 1.0 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.360 * [backup-simplify]: Simplify (+ 0 0) into 0 2.361 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.362 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 2.362 * [taylor]: Taking taylor expansion of 0 in x 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.366 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.366 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.367 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 2.368 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 2.368 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 2.368 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.368 * [taylor]: Taking taylor expansion of 0.25 in x 2.368 * [backup-simplify]: Simplify 0.25 into 0.25 2.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.368 * [taylor]: Taking taylor expansion of x in x 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 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.378 * [backup-simplify]: Simplify (- 0) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.379 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.379 * [backup-simplify]: Simplify (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x)) into (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) 2.379 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0 2.379 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 2.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.379 * [taylor]: Taking taylor expansion of x in y 2.379 * [backup-simplify]: Simplify x into x 2.379 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.379 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.379 * [taylor]: Taking taylor expansion of 4.0 in y 2.379 * [backup-simplify]: Simplify 4.0 into 4.0 2.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.379 * [taylor]: Taking taylor expansion of y in y 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.379 * [taylor]: Taking taylor expansion of x in y 2.379 * [backup-simplify]: Simplify x into x 2.379 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.380 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.380 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.380 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.380 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.380 * [taylor]: Taking taylor expansion of x in x 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 1 into 1 2.380 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.380 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.380 * [taylor]: Taking taylor expansion of 4.0 in x 2.380 * [backup-simplify]: Simplify 4.0 into 4.0 2.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.380 * [taylor]: Taking taylor expansion of y in x 2.380 * [backup-simplify]: Simplify y into y 2.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.380 * [taylor]: Taking taylor expansion of x in x 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 1 into 1 2.381 * [backup-simplify]: Simplify (* 1 1) into 1 2.381 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.381 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.381 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.381 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 2.381 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.381 * [taylor]: Taking taylor expansion of x in x 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.382 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.382 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.382 * [taylor]: Taking taylor expansion of 4.0 in x 2.382 * [backup-simplify]: Simplify 4.0 into 4.0 2.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.382 * [taylor]: Taking taylor expansion of y in x 2.382 * [backup-simplify]: Simplify y into y 2.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.382 * [taylor]: Taking taylor expansion of x in x 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.382 * [backup-simplify]: Simplify (* 1 1) into 1 2.382 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.382 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.383 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.383 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 2.383 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 2.383 * [taylor]: Taking taylor expansion of 0.25 in y 2.383 * [backup-simplify]: Simplify 0.25 into 0.25 2.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.383 * [taylor]: Taking taylor expansion of y in y 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (* 1 1) into 1 2.384 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 2.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.388 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.389 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.389 * [backup-simplify]: Simplify (+ 0 0) into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 2.390 * [taylor]: Taking taylor expansion of 0 in y 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.393 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.394 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.394 * [backup-simplify]: Simplify (* 1 1) into 1 2.395 * [backup-simplify]: Simplify (+ 0 1) into 1 2.395 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 2.396 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 2.396 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 2.396 * [taylor]: Taking taylor expansion of 0.0625 in y 2.396 * [backup-simplify]: Simplify 0.0625 into 0.0625 2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.396 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.396 * [taylor]: Taking taylor expansion of y in y 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (* 1 1) into 1 2.397 * [backup-simplify]: Simplify (* 1 1) into 1 2.397 * [backup-simplify]: Simplify (/ 1 1) into 1 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.411 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.411 * [backup-simplify]: Simplify (- 0) into 0 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify (/ (/ 1 x) (/ (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (/ 1 x))) into (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) 2.414 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in (x y) around 0 2.415 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in y 2.415 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in y 2.415 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.415 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.415 * [taylor]: Taking taylor expansion of 4.0 in y 2.415 * [backup-simplify]: Simplify 4.0 into 4.0 2.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.415 * [taylor]: Taking taylor expansion of y in y 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 1 into 1 2.415 * [backup-simplify]: Simplify (* 1 1) into 1 2.416 * [backup-simplify]: Simplify (/ 1 1) into 1 2.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.416 * [taylor]: Taking taylor expansion of x in y 2.416 * [backup-simplify]: Simplify x into x 2.416 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.416 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.416 * [taylor]: Taking taylor expansion of x in y 2.416 * [backup-simplify]: Simplify x into x 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 (* x x) into (pow x 2) 2.417 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 2.417 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 2.417 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 2.417 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 2.417 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.417 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.417 * [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 (/ 1 (pow x 2)) in x 2.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify 1 into 1 2.418 * [backup-simplify]: Simplify (* 1 1) into 1 2.419 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (+ 0 1) into 1 2.420 * [backup-simplify]: Simplify (* 1 1) into 1 2.420 * [backup-simplify]: Simplify (* 1 1) into 1 2.420 * [backup-simplify]: Simplify (/ 1 1) into 1 2.420 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 2.420 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 2.420 * [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 2.421 * [backup-simplify]: Simplify (* 1 1) into 1 2.422 * [backup-simplify]: Simplify (/ 1 1) into 1 2.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.422 * [taylor]: Taking taylor expansion of x in x 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [backup-simplify]: Simplify (+ 0 1) into 1 2.423 * [backup-simplify]: Simplify (* 1 1) into 1 2.423 * [backup-simplify]: Simplify (* 1 1) into 1 2.423 * [backup-simplify]: Simplify (/ 1 1) into 1 2.423 * [taylor]: Taking taylor expansion of 1 in y 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (+ 0 0) into 0 2.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.427 * [taylor]: Taking taylor expansion of 0 in y 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.428 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) 1))) into (* 4.0 (/ 1 (pow y 2))) 2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.432 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 2.432 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.432 * [taylor]: Taking taylor expansion of 4.0 in y 2.432 * [backup-simplify]: Simplify 4.0 into 4.0 2.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.432 * [taylor]: Taking taylor expansion of y in y 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (* 1 1) into 1 2.433 * [backup-simplify]: Simplify (/ 1 1) into 1 2.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.441 * [backup-simplify]: Simplify (- 0) into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (/ 1 (- x)))) into (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) 2.442 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in (x y) around 0 2.442 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in y 2.442 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in y 2.442 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.442 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.442 * [taylor]: Taking taylor expansion of 4.0 in y 2.442 * [backup-simplify]: Simplify 4.0 into 4.0 2.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.442 * [taylor]: Taking taylor expansion of y in y 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (* 1 1) into 1 2.443 * [backup-simplify]: Simplify (/ 1 1) into 1 2.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.443 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.443 * [taylor]: Taking taylor expansion of x in y 2.443 * [backup-simplify]: Simplify x into x 2.443 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.443 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.444 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.444 * [taylor]: Taking taylor expansion of x in y 2.444 * [backup-simplify]: Simplify x into x 2.444 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.444 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.444 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.445 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 2.445 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 2.445 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 2.445 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 2.445 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.445 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.445 * [taylor]: Taking taylor expansion of 4.0 in x 2.445 * [backup-simplify]: Simplify 4.0 into 4.0 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.445 * [taylor]: Taking taylor expansion of y in x 2.445 * [backup-simplify]: Simplify y into y 2.445 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.445 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.446 * [backup-simplify]: Simplify (* 1 1) into 1 2.446 * [backup-simplify]: Simplify (/ 1 1) into 1 2.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.446 * [taylor]: Taking taylor expansion of x in x 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [backup-simplify]: Simplify (+ 0 1) into 1 2.448 * [backup-simplify]: Simplify (* 1 1) into 1 2.448 * [backup-simplify]: Simplify (* 1 1) into 1 2.448 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 2.449 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 2.449 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.449 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.449 * [taylor]: Taking taylor expansion of 4.0 in x 2.449 * [backup-simplify]: Simplify 4.0 into 4.0 2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.449 * [taylor]: Taking taylor expansion of y in x 2.449 * [backup-simplify]: Simplify y into y 2.449 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.449 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.450 * [taylor]: Taking taylor expansion of x in x 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (+ 0 1) into 1 2.451 * [backup-simplify]: Simplify (* 1 1) into 1 2.451 * [backup-simplify]: Simplify (* 1 1) into 1 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.452 * [taylor]: Taking taylor expansion of 1 in y 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 2.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.456 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) 1))) into (* 4.0 (/ 1 (pow y 2))) 2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 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 (/ 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 2.461 * [backup-simplify]: Simplify (/ 1 1) into 1 2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.469 * [backup-simplify]: Simplify (- 0) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * * * [progress]: simplifying candidates 2.474 * [simplify]: Simplifying: (- (log (+ (* x x) (* (* 4.0 y) y))) (log y)) (log (/ (+ (* x x) (* (* 4.0 y) y)) y)) (exp (/ (+ (* x x) (* (* 4.0 y) y)) y)) (/ (* (* (+ (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) (+ (* x x) (* (* 4.0 y) y))) (* (* y y) y)) (* (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) y)) (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) y))) (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) y)) (* (* (/ (+ (* x x) (* (* 4.0 y) y)) y) (/ (+ (* x x) (* (* 4.0 y) y)) y)) (/ (+ (* x x) (* (* 4.0 y) y)) y)) (sqrt (/ (+ (* x x) (* (* 4.0 y) y)) y)) (sqrt (/ (+ (* x x) (* (* 4.0 y) y)) y)) (- (+ (* x x) (* (* 4.0 y) y))) (- y) (/ (* (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt (+ (* x x) (* (* 4.0 y) y)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt y)) (/ (* (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt (+ (* x x) (* (* 4.0 y) y)))) (sqrt y)) (/ (cbrt (+ (* x x) (* (* 4.0 y) y))) (sqrt y)) (/ (* (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt (+ (* x x) (* (* 4.0 y) y)))) 1) (/ (cbrt (+ (* x x) (* (* 4.0 y) y))) y) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (* (cbrt y) (cbrt y))) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (cbrt y)) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (sqrt y)) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (sqrt y)) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) 1) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ (* x x) (* (* 4.0 y) y)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ (* x x) (* (* 4.0 y) y)) (sqrt y)) (/ 1 1) (/ (+ (* x x) (* (* 4.0 y) y)) y) (/ 1 y) (/ y (+ (* x x) (* (* 4.0 y) y))) (/ (+ (* x x) (* (* 4.0 y) y)) (* (cbrt y) (cbrt y))) (/ (+ (* x x) (* (* 4.0 y) y)) (sqrt y)) (/ (+ (* x x) (* (* 4.0 y) y)) 1) (/ y (cbrt (+ (* x x) (* (* 4.0 y) y)))) (/ y (sqrt (+ (* x x) (* (* 4.0 y) y)))) (/ y (+ (* x x) (* (* 4.0 y) y))) (* y (+ (* (* x x) (* x x)) (- (* (* (* 4.0 y) y) (* (* 4.0 y) y)) (* (* x x) (* (* 4.0 y) y))))) (* y (- (* x x) (* (* 4.0 y) y))) (- (log (+ (* x x) (* (* 4.0 y) y))) (log x)) (log (/ (+ (* x x) (* (* 4.0 y) y)) x)) (exp (/ (+ (* x x) (* (* 4.0 y) y)) x)) (/ (* (* (+ (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) (+ (* x x) (* (* 4.0 y) y))) (* (* x x) x)) (* (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) x)) (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) x))) (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) x)) (* (* (/ (+ (* x x) (* (* 4.0 y) y)) x) (/ (+ (* x x) (* (* 4.0 y) y)) x)) (/ (+ (* x x) (* (* 4.0 y) y)) x)) (sqrt (/ (+ (* x x) (* (* 4.0 y) y)) x)) (sqrt (/ (+ (* x x) (* (* 4.0 y) y)) x)) (- (+ (* x x) (* (* 4.0 y) y))) (- x) (/ (* (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt (+ (* x x) (* (* 4.0 y) y)))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt x)) (/ (* (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt (+ (* x x) (* (* 4.0 y) y)))) (sqrt x)) (/ (cbrt (+ (* x x) (* (* 4.0 y) y))) (sqrt x)) (/ (* (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt (+ (* x x) (* (* 4.0 y) y)))) 1) (/ (cbrt (+ (* x x) (* (* 4.0 y) y))) x) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (* (cbrt x) (cbrt x))) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (cbrt x)) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (sqrt x)) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (sqrt x)) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) 1) (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ (* x x) (* (* 4.0 y) y)) (cbrt x)) (/ 1 (sqrt x)) (/ (+ (* x x) (* (* 4.0 y) y)) (sqrt x)) (/ 1 1) (/ (+ (* x x) (* (* 4.0 y) y)) x) (/ 1 x) (/ x (+ (* x x) (* (* 4.0 y) y))) (/ (+ (* x x) (* (* 4.0 y) y)) (* (cbrt x) (cbrt x))) (/ (+ (* x x) (* (* 4.0 y) y)) (sqrt x)) (/ (+ (* x x) (* (* 4.0 y) y)) 1) (/ x (cbrt (+ (* x x) (* (* 4.0 y) y)))) (/ x (sqrt (+ (* x x) (* (* 4.0 y) y)))) (/ x (+ (* x x) (* (* 4.0 y) y))) (* x (+ (* (* x x) (* x x)) (- (* (* (* 4.0 y) y) (* (* 4.0 y) y)) (* (* x x) (* (* 4.0 y) y))))) (* x (- (* x x) (* (* 4.0 y) y))) (- (+ (log 4.0) (log y)) (- (log (+ (* x x) (* (* 4.0 y) y))) (log y))) (- (+ (log 4.0) (log y)) (log (/ (+ (* x x) (* (* 4.0 y) y)) y))) (- (log (* 4.0 y)) (- (log (+ (* x x) (* (* 4.0 y) y))) (log y))) (- (log (* 4.0 y)) (log (/ (+ (* x x) (* (* 4.0 y) y)) y))) (log (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y))) (exp (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y))) (/ (* (* (* 4.0 4.0) 4.0) (* (* y y) y)) (/ (* (* (+ (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) (+ (* x x) (* (* 4.0 y) y))) (* (* y y) y))) (/ (* (* (* 4.0 4.0) 4.0) (* (* y y) y)) (* (* (/ (+ (* x x) (* (* 4.0 y) y)) y) (/ (+ (* x x) (* (* 4.0 y) y)) y)) (/ (+ (* x x) (* (* 4.0 y) y)) y))) (/ (* (* (* 4.0 y) (* 4.0 y)) (* 4.0 y)) (/ (* (* (+ (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) (+ (* x x) (* (* 4.0 y) y))) (* (* y y) y))) (/ (* (* (* 4.0 y) (* 4.0 y)) (* 4.0 y)) (* (* (/ (+ (* x x) (* (* 4.0 y) y)) y) (/ (+ (* x x) (* (* 4.0 y) y)) y)) (/ (+ (* x x) (* (* 4.0 y) y)) y))) (* (cbrt (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y))) (cbrt (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y)))) (cbrt (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y))) (* (* (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y)) (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y))) (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y))) (sqrt (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y))) (sqrt (/ (* 4.0 y) (/ (+ (* x x) (* (* 4.0 y) y)) y))) (- (* 4.0 y)) (- (/ (+ (* x x) (* (* 4.0 y) y)) y)) (/ 4.0 (* (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) y)) (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) y)))) (/ y (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) y))) (/ 4.0 (sqrt (/ (+ (* x x) (* (* 4.0 y) y)) y))) (/ y (sqrt (/ (+ (* x x) (* (* 4.0 y) y)) y))) (/ 4.0 (/ (* (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt (+ (* x x) (* (* 4.0 y) y)))) (* (cbrt y) (cbrt y)))) (/ y (/ (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt y))) (/ 4.0 (/ (* (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt (+ (* x x) (* (* 4.0 y) y)))) (sqrt y))) (/ y (/ (cbrt (+ (* x x) (* (* 4.0 y) y))) (sqrt y))) (/ 4.0 (/ (* (cbrt (+ (* x x) (* (* 4.0 y) y))) (cbrt (+ (* x x) (* (* 4.0 y) y)))) 1)) (/ y (/ (cbrt (+ (* x x) (* (* 4.0 y) y))) y)) (/ 4.0 (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (* (cbrt y) (cbrt y)))) (/ y (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (cbrt y))) (/ 4.0 (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (sqrt y))) (/ y (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) (sqrt y))) (/ 4.0 (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) 1)) (/ y (/ (sqrt (+ (* x x) (* (* 4.0 y) y))) y)) (/ 4.0 (/ 1 (* (cbrt y) (cbrt y)))) (/ y (/ (+ (* x x) (* (* 4.0 y) y)) (cbrt y))) (/ 4.0 (/ 1 (sqrt y))) (/ y (/ (+ (* x x) (* (* 4.0 y) y)) (sqrt y))) (/ 4.0 (/ 1 1)) (/ y (/ (+ (* x x) (* (* 4.0 y) y)) y)) (/ 4.0 1) (/ y (/ (+ (* x x) (* (* 4.0 y) y)) y)) (/ 4.0 (+ (* x x) (* (* 4.0 y) y))) (/ y (/ 1 y)) (/ 1 (/ (+ (* x x) (* (* 4.0 y) y)) y)) (/ (/ (+ (* x x) (* (* 4.0 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(* 4.0 y) y)) x))) (log (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x))) (exp (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x))) (/ (* (* x x) x) (/ (* (* (+ (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) (+ (* x x) (* (* 4.0 y) y))) (* (* x x) x))) (/ (* (* x x) x) (* (* (/ (+ (* x x) (* (* 4.0 y) y)) x) (/ (+ (* x x) (* (* 4.0 y) y)) x)) (/ (+ (* x x) (* (* 4.0 y) y)) x))) (* (cbrt (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x))) (cbrt (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x)))) (cbrt (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x))) (* (* (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x)) (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x))) (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x))) (sqrt (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x))) (sqrt (/ x (/ (+ (* x x) (* (* 4.0 y) y)) x))) (- x) (- (/ (+ (* x x) (* (* 4.0 y) y)) x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) x)) (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) x)))) (/ (cbrt x) (cbrt (/ (+ (* x x) (* (* 4.0 y) y)) x))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ (+ (* x x) (* (* 4.0 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y))) x) (sqrt x) (* (/ (sqrt x) (+ (* x x) (* (* y 4.0) y))) x) (/ (sqrt x) (+ (* x x) (* (* y 4.0) y))) (* (sqrt x) x) (/ (/ 1 (cbrt (/ (+ (* x x) (* (* y 4.0) y)) x))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) x))) (/ x (cbrt (/ (+ (* x x) (* (* y 4.0) y)) x))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) x))) (/ x (sqrt (/ (+ (* x x) (* (* y 4.0) y)) x))) (/ (/ (* (cbrt x) (cbrt x)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (* (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt x)) (* (/ (/ 1 (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt x)) (* (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt x)) (/ (/ 1 (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* (cbrt x) (cbrt x)))) (/ (* x (cbrt x)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt x))) (* (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt x)) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt x) (cbrt x)) (* (/ x (+ (* x x) (* (* y 4.0) y))) (cbrt x)) (sqrt x) (* (/ x (+ (* x x) (* (* y 4.0) y))) (sqrt x)) 1 (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 1 (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (* x x) (/ (* 1 x) (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (/ x (cbrt (/ (+ (* x x) (* (* y 4.0) y)) x))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) x))) (/ x (sqrt (/ (+ (* x x) (* (* y 4.0) y)) x))) (/ (* x (* (cbrt x) (cbrt x))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (/ (sqrt x) (cbrt (+ (* x x) (* (* y 4.0) y)))))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (* (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt x) (cbrt x))) (* (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt x)) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (* x (* (cbrt x) (cbrt x))) (* x (sqrt x)) x x (/ x (+ (* x x) (* (* y 4.0) y))) (/ (/ (+ (* x x) (* (* y 4.0) y)) x) (cbrt x)) (/ (+ (* x x) (* (* y 4.0) y)) (* (sqrt x) x)) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ x (+ (* x x) (* (* y 4.0) y))) (+ (* y 4.0) (/ (* x x) y)) (+ (* y 4.0) (/ (* x x) y)) (+ (* y 4.0) (/ (* x x) y)) (+ (* (/ (* y y) x) 4.0) x) (+ (* (/ (* y y) x) 4.0) x) (+ (* (/ (* y y) x) 4.0) x) 0 0 0 0 0 0 2.874 * * * [progress]: adding candidates to table 4.069 * * [progress]: iteration 3 / 4 4.069 * * * [progress]: picking best candidate 4.083 * * * * [pick]: Picked # 4.083 * * * [progress]: localizing error 4.102 * * * [progress]: generating rewritten candidates 4.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 4.123 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 4.129 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.155 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.175 * * * [progress]: generating series expansions 4.175 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 4.175 * [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))) 4.175 * [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 4.175 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.175 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.175 * [taylor]: Taking taylor expansion of x in y 4.175 * [backup-simplify]: Simplify x into x 4.175 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.175 * [taylor]: Taking taylor expansion of 4.0 in y 4.175 * [backup-simplify]: Simplify 4.0 into 4.0 4.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.175 * [taylor]: Taking taylor expansion of y in y 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.175 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.175 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.175 * [taylor]: Taking taylor expansion of 4.0 in y 4.176 * [backup-simplify]: Simplify 4.0 into 4.0 4.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.176 * [taylor]: Taking taylor expansion of y in y 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.176 * [taylor]: Taking taylor expansion of x in y 4.176 * [backup-simplify]: Simplify x into x 4.176 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.176 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.176 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.176 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.176 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.176 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.176 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.176 * [taylor]: Taking taylor expansion of x in x 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.176 * [taylor]: Taking taylor expansion of 4.0 in x 4.176 * [backup-simplify]: Simplify 4.0 into 4.0 4.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.176 * [taylor]: Taking taylor expansion of y in x 4.176 * [backup-simplify]: Simplify y into y 4.176 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.176 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.176 * [taylor]: Taking taylor expansion of 4.0 in x 4.176 * [backup-simplify]: Simplify 4.0 into 4.0 4.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.176 * [taylor]: Taking taylor expansion of y in x 4.176 * [backup-simplify]: Simplify y into y 4.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.176 * [taylor]: Taking taylor expansion of x in x 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.177 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.177 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.177 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.177 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.177 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.177 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.177 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.177 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.177 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.177 * [taylor]: Taking taylor expansion of x in x 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.177 * [taylor]: Taking taylor expansion of 4.0 in x 4.177 * [backup-simplify]: Simplify 4.0 into 4.0 4.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.177 * [taylor]: Taking taylor expansion of y in x 4.177 * [backup-simplify]: Simplify y into y 4.177 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.177 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.177 * [taylor]: Taking taylor expansion of 4.0 in x 4.177 * [backup-simplify]: Simplify 4.0 into 4.0 4.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.177 * [taylor]: Taking taylor expansion of y in x 4.178 * [backup-simplify]: Simplify y into y 4.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.178 * [taylor]: Taking taylor expansion of x in x 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.178 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.178 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.178 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.178 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.178 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.178 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.178 * [taylor]: Taking taylor expansion of -1.0 in y 4.178 * [backup-simplify]: Simplify -1.0 into -1.0 4.178 * [backup-simplify]: Simplify -1.0 into -1.0 4.179 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.179 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.180 * [backup-simplify]: Simplify (- 0) into 0 4.180 * [backup-simplify]: Simplify (+ 0 0) into 0 4.180 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.180 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.181 * [backup-simplify]: Simplify (+ 0 0) into 0 4.181 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 4.181 * [taylor]: Taking taylor expansion of 0 in y 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (* 1 1) into 1 4.181 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.182 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.182 * [backup-simplify]: Simplify (- 0) into 0 4.183 * [backup-simplify]: Simplify (+ 1 0) into 1 4.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.184 * [backup-simplify]: Simplify (* 1 1) into 1 4.184 * [backup-simplify]: Simplify (+ 0 1) into 1 4.184 * [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))) 4.184 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 4.184 * [taylor]: Taking taylor expansion of 0.5 in y 4.184 * [backup-simplify]: Simplify 0.5 into 0.5 4.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.184 * [taylor]: Taking taylor expansion of y in y 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify (* 1 1) into 1 4.185 * [backup-simplify]: Simplify (/ 1 1) into 1 4.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.188 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.189 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.190 * [backup-simplify]: Simplify (- 0) into 0 4.190 * [backup-simplify]: Simplify (+ 0 0) into 0 4.191 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.191 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.192 * [backup-simplify]: Simplify (+ 0 0) into 0 4.193 * [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 4.193 * [taylor]: Taking taylor expansion of 0 in y 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify -1.0 into -1.0 4.193 * [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)))) 4.193 * [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 4.193 * [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 4.193 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.193 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.193 * [taylor]: Taking taylor expansion of x in y 4.193 * [backup-simplify]: Simplify x into x 4.193 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.193 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.193 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.193 * [taylor]: Taking taylor expansion of 4.0 in y 4.193 * [backup-simplify]: Simplify 4.0 into 4.0 4.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.193 * [taylor]: Taking taylor expansion of y in y 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.194 * [backup-simplify]: Simplify (* 1 1) into 1 4.194 * [backup-simplify]: Simplify (/ 1 1) into 1 4.194 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.194 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.194 * [taylor]: Taking taylor expansion of 4.0 in y 4.194 * [backup-simplify]: Simplify 4.0 into 4.0 4.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.194 * [taylor]: Taking taylor expansion of y in y 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [backup-simplify]: Simplify (* 1 1) into 1 4.195 * [backup-simplify]: Simplify (/ 1 1) into 1 4.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.195 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.195 * [taylor]: Taking taylor expansion of x in y 4.195 * [backup-simplify]: Simplify x into x 4.195 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.195 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.195 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.195 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.196 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.196 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.196 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.197 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.197 * [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 4.197 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.197 * [taylor]: Taking taylor expansion of x in x 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify 1 into 1 4.197 * [backup-simplify]: Simplify (* 1 1) into 1 4.198 * [backup-simplify]: Simplify (/ 1 1) into 1 4.198 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.198 * [taylor]: Taking taylor expansion of 4.0 in x 4.198 * [backup-simplify]: Simplify 4.0 into 4.0 4.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.198 * [taylor]: Taking taylor expansion of y in x 4.198 * [backup-simplify]: Simplify y into y 4.198 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.198 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.198 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.198 * [taylor]: Taking taylor expansion of 4.0 in x 4.198 * [backup-simplify]: Simplify 4.0 into 4.0 4.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.198 * [taylor]: Taking taylor expansion of y in x 4.198 * [backup-simplify]: Simplify y into y 4.198 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.198 * [taylor]: Taking taylor expansion of x in x 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify (* 1 1) into 1 4.199 * [backup-simplify]: Simplify (/ 1 1) into 1 4.199 * [backup-simplify]: Simplify (+ 1 0) into 1 4.199 * [backup-simplify]: Simplify (+ 0 1) into 1 4.199 * [backup-simplify]: Simplify (/ 1 1) into 1 4.199 * [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 4.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.200 * [taylor]: Taking taylor expansion of x in x 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify (* 1 1) into 1 4.200 * [backup-simplify]: Simplify (/ 1 1) into 1 4.200 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.200 * [taylor]: Taking taylor expansion of 4.0 in x 4.200 * [backup-simplify]: Simplify 4.0 into 4.0 4.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.200 * [taylor]: Taking taylor expansion of y in x 4.200 * [backup-simplify]: Simplify y into y 4.200 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.200 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.200 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.200 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.200 * [taylor]: Taking taylor expansion of 4.0 in x 4.201 * [backup-simplify]: Simplify 4.0 into 4.0 4.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.201 * [taylor]: Taking taylor expansion of y in x 4.201 * [backup-simplify]: Simplify y into y 4.201 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.201 * [taylor]: Taking taylor expansion of x in x 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [backup-simplify]: Simplify (* 1 1) into 1 4.201 * [backup-simplify]: Simplify (/ 1 1) into 1 4.202 * [backup-simplify]: Simplify (+ 1 0) into 1 4.202 * [backup-simplify]: Simplify (+ 0 1) into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.202 * [taylor]: Taking taylor expansion of 1 in y 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (+ 0 0) into 0 4.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.204 * [backup-simplify]: Simplify (+ 0 0) into 0 4.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.205 * [taylor]: Taking taylor expansion of 0 in y 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.206 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.206 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.206 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.206 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.208 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.209 * [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)))) 4.209 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.209 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.209 * [taylor]: Taking taylor expansion of 8.0 in y 4.209 * [backup-simplify]: Simplify 8.0 into 8.0 4.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.209 * [taylor]: Taking taylor expansion of y in y 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (* 1 1) into 1 4.210 * [backup-simplify]: Simplify (/ 1 1) into 1 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.215 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.215 * [backup-simplify]: Simplify (- 0) into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.219 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.219 * [backup-simplify]: Simplify (- 0) into 0 4.220 * [backup-simplify]: Simplify (+ 0 0) into 0 4.220 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.221 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [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 4.225 * [taylor]: Taking taylor expansion of 0 in y 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 1 into 1 4.226 * [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)))) 4.226 * [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 4.226 * [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 4.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.226 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.226 * [taylor]: Taking taylor expansion of x in y 4.226 * [backup-simplify]: Simplify x into x 4.226 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.227 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.227 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.227 * [taylor]: Taking taylor expansion of 4.0 in y 4.227 * [backup-simplify]: Simplify 4.0 into 4.0 4.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.227 * [taylor]: Taking taylor expansion of y in y 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [backup-simplify]: Simplify (* 1 1) into 1 4.228 * [backup-simplify]: Simplify (/ 1 1) into 1 4.228 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.228 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.228 * [taylor]: Taking taylor expansion of 4.0 in y 4.228 * [backup-simplify]: Simplify 4.0 into 4.0 4.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.228 * [taylor]: Taking taylor expansion of y in y 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (* 1 1) into 1 4.229 * [backup-simplify]: Simplify (/ 1 1) into 1 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 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.230 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.231 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.231 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.232 * [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 4.236 * [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 4.237 * [backup-simplify]: Simplify (/ 1 1) into 1 4.237 * [backup-simplify]: Simplify (+ 1 0) into 1 4.238 * [backup-simplify]: Simplify (+ 0 1) into 1 4.238 * [backup-simplify]: Simplify (/ 1 1) into 1 4.238 * [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 4.238 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.238 * [taylor]: Taking taylor expansion of x in x 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 1 into 1 4.238 * [backup-simplify]: Simplify (* 1 1) into 1 4.238 * [backup-simplify]: Simplify (/ 1 1) into 1 4.238 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.238 * [taylor]: Taking taylor expansion of 4.0 in x 4.238 * [backup-simplify]: Simplify 4.0 into 4.0 4.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.239 * [taylor]: Taking taylor expansion of y in x 4.239 * [backup-simplify]: Simplify y into y 4.239 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.239 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.239 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.239 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.239 * [taylor]: Taking taylor expansion of 4.0 in x 4.239 * [backup-simplify]: Simplify 4.0 into 4.0 4.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.239 * [taylor]: Taking taylor expansion of y in x 4.239 * [backup-simplify]: Simplify y into y 4.239 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.239 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 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 * [backup-simplify]: Simplify (+ 1 0) into 1 4.240 * [backup-simplify]: Simplify (+ 0 1) into 1 4.240 * [backup-simplify]: Simplify (/ 1 1) into 1 4.240 * [taylor]: Taking taylor expansion of 1 in y 4.240 * [backup-simplify]: Simplify 1 into 1 4.240 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify (+ 0 0) into 0 4.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.242 * [backup-simplify]: Simplify (+ 0 0) into 0 4.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.243 * [taylor]: Taking taylor expansion of 0 in y 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.244 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.244 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.245 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.246 * [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)))) 4.246 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.246 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.246 * [taylor]: Taking taylor expansion of 8.0 in y 4.246 * [backup-simplify]: Simplify 8.0 into 8.0 4.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.246 * [taylor]: Taking taylor expansion of y in y 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (* 1 1) into 1 4.247 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.249 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.250 * [backup-simplify]: Simplify (- 0) into 0 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.251 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.252 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.252 * [backup-simplify]: Simplify (- 0) into 0 4.252 * [backup-simplify]: Simplify (+ 0 0) into 0 4.252 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.253 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (+ 0 0) into 0 4.255 * [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 4.255 * [taylor]: Taking taylor expansion of 0 in y 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 4.255 * [backup-simplify]: Simplify (- (* x x) (* (* 4.0 y) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 4.255 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 4.255 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.255 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.255 * [taylor]: Taking taylor expansion of x in y 4.255 * [backup-simplify]: Simplify x into x 4.255 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.255 * [taylor]: Taking taylor expansion of 4.0 in y 4.255 * [backup-simplify]: Simplify 4.0 into 4.0 4.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.255 * [taylor]: Taking taylor expansion of y in y 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.256 * [taylor]: Taking taylor expansion of x in x 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.256 * [taylor]: Taking taylor expansion of 4.0 in x 4.256 * [backup-simplify]: Simplify 4.0 into 4.0 4.256 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.256 * [taylor]: Taking taylor expansion of y in x 4.256 * [backup-simplify]: Simplify y into y 4.256 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.256 * [taylor]: Taking taylor expansion of x in x 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.256 * [taylor]: Taking taylor expansion of 4.0 in x 4.256 * [backup-simplify]: Simplify 4.0 into 4.0 4.256 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.256 * [taylor]: Taking taylor expansion of y in x 4.256 * [backup-simplify]: Simplify y into y 4.256 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.256 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.256 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.256 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.256 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 4.256 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.256 * [taylor]: Taking taylor expansion of 4.0 in y 4.256 * [backup-simplify]: Simplify 4.0 into 4.0 4.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.256 * [taylor]: Taking taylor expansion of y in y 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.257 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.257 * [backup-simplify]: Simplify (- 0) into 0 4.257 * [backup-simplify]: Simplify (+ 0 0) into 0 4.257 * [taylor]: Taking taylor expansion of 0 in y 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify (* 1 1) into 1 4.258 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.259 * [backup-simplify]: Simplify (- 0) into 0 4.259 * [backup-simplify]: Simplify (+ 1 0) into 1 4.259 * [taylor]: Taking taylor expansion of 1 in y 4.259 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify (* 1 1) into 1 4.260 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.260 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.260 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.261 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.262 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.262 * [backup-simplify]: Simplify (- 0) into 0 4.262 * [backup-simplify]: Simplify (+ 0 0) into 0 4.262 * [taylor]: Taking taylor expansion of 0 in y 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.263 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.263 * [backup-simplify]: Simplify (- 0) into 0 4.263 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.265 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.267 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.267 * [backup-simplify]: Simplify (- 0) into 0 4.267 * [backup-simplify]: Simplify (+ 0 0) into 0 4.267 * [taylor]: Taking taylor expansion of 0 in y 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 4.268 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 4.268 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 4.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.269 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.269 * [taylor]: Taking taylor expansion of x in y 4.269 * [backup-simplify]: Simplify x into x 4.269 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.269 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.269 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.269 * [taylor]: Taking taylor expansion of 4.0 in y 4.269 * [backup-simplify]: Simplify 4.0 into 4.0 4.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.269 * [taylor]: Taking taylor expansion of y in y 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (* 1 1) into 1 4.270 * [backup-simplify]: Simplify (/ 1 1) into 1 4.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.270 * [taylor]: Taking taylor expansion of x in x 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.270 * [backup-simplify]: Simplify (* 1 1) into 1 4.271 * [backup-simplify]: Simplify (/ 1 1) into 1 4.271 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.271 * [taylor]: Taking taylor expansion of 4.0 in x 4.271 * [backup-simplify]: Simplify 4.0 into 4.0 4.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.271 * [taylor]: Taking taylor expansion of y in x 4.271 * [backup-simplify]: Simplify y into y 4.271 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.271 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.271 * [taylor]: Taking taylor expansion of x in x 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [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))) in x 4.272 * [taylor]: Taking taylor expansion of 4.0 in x 4.272 * [backup-simplify]: Simplify 4.0 into 4.0 4.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.272 * [taylor]: Taking taylor expansion of y in x 4.272 * [backup-simplify]: Simplify y into y 4.272 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.272 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.272 * [backup-simplify]: Simplify (+ 1 0) into 1 4.272 * [taylor]: Taking taylor expansion of 1 in y 4.272 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (+ 0 0) into 0 4.274 * [taylor]: Taking taylor expansion of 0 in y 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.275 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.275 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.275 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.275 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.275 * [taylor]: Taking taylor expansion of 4.0 in y 4.275 * [backup-simplify]: Simplify 4.0 into 4.0 4.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.275 * [taylor]: Taking taylor expansion of y in y 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (* 1 1) into 1 4.276 * [backup-simplify]: Simplify (/ 1 1) into 1 4.276 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.276 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.276 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.276 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.278 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.278 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.279 * [backup-simplify]: Simplify (- 0) into 0 4.279 * [backup-simplify]: Simplify (+ 0 0) into 0 4.279 * [taylor]: Taking taylor expansion of 0 in y 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.280 * [backup-simplify]: Simplify (- 0) into 0 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.282 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.283 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.283 * [backup-simplify]: Simplify (- 0) into 0 4.283 * [backup-simplify]: Simplify (+ 0 0) into 0 4.283 * [taylor]: Taking taylor expansion of 0 in y 4.283 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.286 * [backup-simplify]: Simplify (- 0) into 0 4.286 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [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))) 4.288 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 4.288 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 4.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.288 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.288 * [taylor]: Taking taylor expansion of x in y 4.288 * [backup-simplify]: Simplify x into x 4.288 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.288 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.288 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.288 * [taylor]: Taking taylor expansion of 4.0 in y 4.288 * [backup-simplify]: Simplify 4.0 into 4.0 4.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.288 * [taylor]: Taking taylor expansion of y in y 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (* 1 1) into 1 4.289 * [backup-simplify]: Simplify (/ 1 1) into 1 4.289 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify (* 1 1) into 1 4.290 * [backup-simplify]: Simplify (/ 1 1) into 1 4.290 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.290 * [taylor]: Taking taylor expansion of 4.0 in x 4.290 * [backup-simplify]: Simplify 4.0 into 4.0 4.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.290 * [taylor]: Taking taylor expansion of y in x 4.290 * [backup-simplify]: Simplify y into y 4.290 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.291 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.291 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.291 * [taylor]: Taking taylor expansion of x in x 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (* 1 1) into 1 4.291 * [backup-simplify]: Simplify (/ 1 1) into 1 4.291 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.292 * [taylor]: Taking taylor expansion of 4.0 in x 4.292 * [backup-simplify]: Simplify 4.0 into 4.0 4.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.292 * [taylor]: Taking taylor expansion of y in x 4.292 * [backup-simplify]: Simplify y into y 4.292 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.292 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.292 * [backup-simplify]: Simplify (+ 1 0) into 1 4.292 * [taylor]: Taking taylor expansion of 1 in y 4.292 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.294 * [backup-simplify]: Simplify (+ 0 0) into 0 4.294 * [taylor]: Taking taylor expansion of 0 in y 4.294 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.297 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.297 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.297 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.297 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.297 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.297 * [taylor]: Taking taylor expansion of 4.0 in y 4.297 * [backup-simplify]: Simplify 4.0 into 4.0 4.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.297 * [taylor]: Taking taylor expansion of y in y 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 1 into 1 4.298 * [backup-simplify]: Simplify (* 1 1) into 1 4.298 * [backup-simplify]: Simplify (/ 1 1) into 1 4.299 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.299 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.299 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.299 * [backup-simplify]: Simplify 1 into 1 4.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.301 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.301 * [backup-simplify]: Simplify (- 0) into 0 4.302 * [backup-simplify]: Simplify (+ 0 0) into 0 4.302 * [taylor]: Taking taylor expansion of 0 in y 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.303 * [backup-simplify]: Simplify (- 0) into 0 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.306 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.306 * [backup-simplify]: Simplify (- 0) into 0 4.306 * [backup-simplify]: Simplify (+ 0 0) into 0 4.306 * [taylor]: Taking taylor expansion of 0 in y 4.306 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.308 * [backup-simplify]: Simplify (- 0) into 0 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 0 into 0 4.309 * [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))) 4.309 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.309 * [backup-simplify]: Simplify (pow (/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) 3) into (pow (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 3) 4.309 * [approximate]: Taking taylor expansion of (pow (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 3) in (x y) around 0 4.309 * [taylor]: Taking taylor expansion of (pow (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 3) in y 4.309 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.309 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.309 * [taylor]: Taking taylor expansion of x in y 4.309 * [backup-simplify]: Simplify x into x 4.309 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.309 * [taylor]: Taking taylor expansion of 4.0 in y 4.309 * [backup-simplify]: Simplify 4.0 into 4.0 4.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.309 * [taylor]: Taking taylor expansion of y in y 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 1 into 1 4.309 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.309 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.309 * [taylor]: Taking taylor expansion of 4.0 in y 4.309 * [backup-simplify]: Simplify 4.0 into 4.0 4.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.309 * [taylor]: Taking taylor expansion of y in y 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 1 into 1 4.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.309 * [taylor]: Taking taylor expansion of x in y 4.309 * [backup-simplify]: Simplify x into x 4.309 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.309 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.309 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.310 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.310 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.310 * [taylor]: Taking taylor expansion of (pow (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 3) in x 4.310 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.310 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.310 * [taylor]: Taking taylor expansion of x in x 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.310 * [taylor]: Taking taylor expansion of 4.0 in x 4.310 * [backup-simplify]: Simplify 4.0 into 4.0 4.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.310 * [taylor]: Taking taylor expansion of y in x 4.310 * [backup-simplify]: Simplify y into y 4.310 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.310 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.310 * [taylor]: Taking taylor expansion of 4.0 in x 4.310 * [backup-simplify]: Simplify 4.0 into 4.0 4.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.310 * [taylor]: Taking taylor expansion of y in x 4.310 * [backup-simplify]: Simplify y into y 4.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.310 * [taylor]: Taking taylor expansion of x in x 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.310 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.310 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.310 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.310 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.311 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.311 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.311 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.311 * [taylor]: Taking taylor expansion of (pow (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 3) in x 4.311 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.311 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.311 * [taylor]: Taking taylor expansion of x in x 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.311 * [taylor]: Taking taylor expansion of 4.0 in x 4.311 * [backup-simplify]: Simplify 4.0 into 4.0 4.311 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.311 * [taylor]: Taking taylor expansion of y in x 4.311 * [backup-simplify]: Simplify y into y 4.311 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.311 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.311 * [taylor]: Taking taylor expansion of 4.0 in x 4.311 * [backup-simplify]: Simplify 4.0 into 4.0 4.311 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.311 * [taylor]: Taking taylor expansion of y in x 4.311 * [backup-simplify]: Simplify y into y 4.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.311 * [taylor]: Taking taylor expansion of x in x 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.311 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.311 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.312 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.312 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.312 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.312 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.312 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.312 * [backup-simplify]: Simplify (* -1.0 -1.0) into 1.0 4.313 * [backup-simplify]: Simplify (* -1.0 1.0) into -1.0 4.313 * [taylor]: Taking taylor expansion of -1.0 in y 4.313 * [backup-simplify]: Simplify -1.0 into -1.0 4.313 * [backup-simplify]: Simplify -1.0 into -1.0 4.313 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.313 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.313 * [backup-simplify]: Simplify (- 0) into 0 4.314 * [backup-simplify]: Simplify (+ 0 0) into 0 4.314 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.314 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.314 * [backup-simplify]: Simplify (+ 0 0) into 0 4.314 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 4.315 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 -1.0)) into 0 4.315 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 1.0)) into 0 4.315 * [taylor]: Taking taylor expansion of 0 in y 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (* 1 1) into 1 4.316 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.316 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.317 * [backup-simplify]: Simplify (- 0) into 0 4.317 * [backup-simplify]: Simplify (+ 1 0) into 1 4.317 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.318 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.318 * [backup-simplify]: Simplify (* 1 1) into 1 4.318 * [backup-simplify]: Simplify (+ 0 1) into 1 4.319 * [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))) 4.319 * [backup-simplify]: Simplify (+ (* -1.0 (* 0.5 (/ 1 (pow y 2)))) (+ (* 0 0) (* (* 0.5 (/ 1 (pow y 2))) -1.0))) into (- (* 1.0 (/ 1 (pow y 2)))) 4.320 * [backup-simplify]: Simplify (+ (* -1.0 (- (* 1.0 (/ 1 (pow y 2))))) (+ (* 0 0) (* (* 0.5 (/ 1 (pow y 2))) 1.0))) into (* 1.5 (/ 1 (pow y 2))) 4.320 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 (pow y 2))) in y 4.320 * [taylor]: Taking taylor expansion of 1.5 in y 4.320 * [backup-simplify]: Simplify 1.5 into 1.5 4.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.320 * [taylor]: Taking taylor expansion of y in y 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 1 into 1 4.320 * [backup-simplify]: Simplify (* 1 1) into 1 4.320 * [backup-simplify]: Simplify (/ 1 1) into 1 4.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 1.5 0) (+ (* 0 0) (* 0 1))) into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.324 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.325 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.325 * [backup-simplify]: Simplify (- 0) into 0 4.325 * [backup-simplify]: Simplify (+ 0 0) into 0 4.326 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.327 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.327 * [backup-simplify]: Simplify (+ 0 0) into 0 4.328 * [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 4.328 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 (* 0.5 (/ 1 (pow y 2)))) (+ (* (* 0.5 (/ 1 (pow y 2))) 0) (* 0 -1.0)))) into 0 4.329 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 (- (* 1.0 (/ 1 (pow y 2))))) (+ (* (* 0.5 (/ 1 (pow y 2))) 0) (* 0 1.0)))) into 0 4.329 * [taylor]: Taking taylor expansion of 0 in y 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify -1.0 into -1.0 4.330 * [backup-simplify]: Simplify (pow (/ (- (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y)))) 3) into (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3) 4.330 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3) in (x y) around 0 4.330 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3) in y 4.330 * [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 4.330 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.330 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.330 * [taylor]: Taking taylor expansion of x in y 4.330 * [backup-simplify]: Simplify x into x 4.330 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.330 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.330 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.330 * [taylor]: Taking taylor expansion of 4.0 in y 4.330 * [backup-simplify]: Simplify 4.0 into 4.0 4.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.330 * [taylor]: Taking taylor expansion of y in y 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 1 into 1 4.330 * [backup-simplify]: Simplify (* 1 1) into 1 4.331 * [backup-simplify]: Simplify (/ 1 1) into 1 4.331 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.331 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.331 * [taylor]: Taking taylor expansion of 4.0 in y 4.331 * [backup-simplify]: Simplify 4.0 into 4.0 4.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.331 * [taylor]: Taking taylor expansion of y in y 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.331 * [backup-simplify]: Simplify (* 1 1) into 1 4.331 * [backup-simplify]: Simplify (/ 1 1) into 1 4.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.331 * [taylor]: Taking taylor expansion of x in y 4.331 * [backup-simplify]: Simplify x into x 4.331 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.331 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.332 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.332 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.333 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.333 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.333 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.334 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.334 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3) in x 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 x 4.334 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.334 * [taylor]: Taking taylor expansion of x in x 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [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 (* 4.0 (/ 1 (pow y 2))) in x 4.335 * [taylor]: Taking taylor expansion of 4.0 in x 4.335 * [backup-simplify]: Simplify 4.0 into 4.0 4.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.335 * [taylor]: Taking taylor expansion of y in x 4.335 * [backup-simplify]: Simplify y into y 4.335 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.336 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.336 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.336 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.336 * [taylor]: Taking taylor expansion of 4.0 in x 4.336 * [backup-simplify]: Simplify 4.0 into 4.0 4.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.336 * [taylor]: Taking taylor expansion of y in x 4.336 * [backup-simplify]: Simplify y into y 4.336 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.336 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.336 * [taylor]: Taking taylor expansion of x in x 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [backup-simplify]: Simplify (* 1 1) into 1 4.336 * [backup-simplify]: Simplify (/ 1 1) into 1 4.337 * [backup-simplify]: Simplify (+ 1 0) into 1 4.338 * [backup-simplify]: Simplify (+ 0 1) into 1 4.338 * [backup-simplify]: Simplify (/ 1 1) into 1 4.338 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3) in x 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 * [backup-simplify]: Simplify (* 1 1) into 1 4.341 * [backup-simplify]: Simplify (* 1 1) into 1 4.341 * [taylor]: Taking taylor expansion of 1 in y 4.341 * [backup-simplify]: Simplify 1 into 1 4.341 * [backup-simplify]: Simplify 1 into 1 4.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (+ 0 0) into 0 4.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 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 4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.348 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.348 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.349 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.349 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.351 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.352 * [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)))) 4.353 * [backup-simplify]: Simplify (+ (* 1 (- (* 8.0 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 8.0 (/ 1 (pow y 2)))) 1))) into (- (* 16.0 (/ 1 (pow y 2)))) 4.354 * [backup-simplify]: Simplify (+ (* 1 (- (* 16.0 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 8.0 (/ 1 (pow y 2)))) 1))) into (- (* 24.0 (/ 1 (pow y 2)))) 4.354 * [taylor]: Taking taylor expansion of (- (* 24.0 (/ 1 (pow y 2)))) in y 4.354 * [taylor]: Taking taylor expansion of (* 24.0 (/ 1 (pow y 2))) in y 4.354 * [taylor]: Taking taylor expansion of 24.0 in y 4.354 * [backup-simplify]: Simplify 24.0 into 24.0 4.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.354 * [taylor]: Taking taylor expansion of y in y 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.355 * [backup-simplify]: Simplify (* 1 1) into 1 4.355 * [backup-simplify]: Simplify (/ 1 1) into 1 4.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (+ (* 24.0 0) (+ (* 0 0) (* 0 1))) into 0 4.360 * [backup-simplify]: Simplify (- 0) into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.363 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.363 * [backup-simplify]: Simplify (- 0) into 0 4.364 * [backup-simplify]: Simplify (+ 0 0) into 0 4.364 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.365 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (+ 0 0) into 0 4.368 * [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 4.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 8.0 (/ 1 (pow y 2))))) (+ (* (- (* 8.0 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 4.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 16.0 (/ 1 (pow y 2))))) (+ (* (- (* 8.0 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 4.370 * [taylor]: Taking taylor expansion of 0 in y 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (pow (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y))))) 3) into (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3) 4.370 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3) in (x y) around 0 4.370 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3) in y 4.370 * [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 4.370 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.370 * [taylor]: Taking taylor expansion of x in y 4.370 * [backup-simplify]: Simplify x into x 4.370 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.371 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.371 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.371 * [taylor]: Taking taylor expansion of 4.0 in y 4.371 * [backup-simplify]: Simplify 4.0 into 4.0 4.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.371 * [taylor]: Taking taylor expansion of y in y 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (* 1 1) into 1 4.371 * [backup-simplify]: Simplify (/ 1 1) into 1 4.371 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.371 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.371 * [taylor]: Taking taylor expansion of 4.0 in y 4.371 * [backup-simplify]: Simplify 4.0 into 4.0 4.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.371 * [taylor]: Taking taylor expansion of y in y 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify 1 into 1 4.372 * [backup-simplify]: Simplify (* 1 1) into 1 4.372 * [backup-simplify]: Simplify (/ 1 1) into 1 4.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.372 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.372 * [taylor]: Taking taylor expansion of x in y 4.372 * [backup-simplify]: Simplify x into x 4.372 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.372 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.372 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.373 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.373 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.374 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.374 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.374 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.374 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3) in x 4.375 * [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 4.375 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.375 * [taylor]: Taking taylor expansion of x in x 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 1 into 1 4.375 * [backup-simplify]: Simplify (* 1 1) into 1 4.375 * [backup-simplify]: Simplify (/ 1 1) into 1 4.375 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.375 * [taylor]: Taking taylor expansion of 4.0 in x 4.375 * [backup-simplify]: Simplify 4.0 into 4.0 4.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.375 * [taylor]: Taking taylor expansion of y in x 4.375 * [backup-simplify]: Simplify y into y 4.375 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.375 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.375 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.375 * [taylor]: Taking taylor expansion of 4.0 in x 4.375 * [backup-simplify]: Simplify 4.0 into 4.0 4.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.376 * [taylor]: Taking taylor expansion of y in x 4.376 * [backup-simplify]: Simplify y into y 4.376 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.376 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.376 * [taylor]: Taking taylor expansion of x in x 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 1 into 1 4.376 * [backup-simplify]: Simplify (* 1 1) into 1 4.376 * [backup-simplify]: Simplify (/ 1 1) into 1 4.376 * [backup-simplify]: Simplify (+ 1 0) into 1 4.377 * [backup-simplify]: Simplify (+ 0 1) into 1 4.377 * [backup-simplify]: Simplify (/ 1 1) into 1 4.377 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3) in x 4.377 * [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 4.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.377 * [taylor]: Taking taylor expansion of x in x 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.377 * [backup-simplify]: Simplify (* 1 1) into 1 4.378 * [backup-simplify]: Simplify (/ 1 1) into 1 4.378 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.378 * [taylor]: Taking taylor expansion of 4.0 in x 4.378 * [backup-simplify]: Simplify 4.0 into 4.0 4.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.378 * [taylor]: Taking taylor expansion of y in x 4.378 * [backup-simplify]: Simplify y into y 4.378 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.378 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.378 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.378 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.378 * [taylor]: Taking taylor expansion of 4.0 in x 4.378 * [backup-simplify]: Simplify 4.0 into 4.0 4.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.378 * [taylor]: Taking taylor expansion of y in x 4.378 * [backup-simplify]: Simplify y into y 4.378 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.378 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.378 * [taylor]: Taking taylor expansion of x in x 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 1 into 1 4.378 * [backup-simplify]: Simplify (* 1 1) into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.379 * [backup-simplify]: Simplify (+ 1 0) into 1 4.379 * [backup-simplify]: Simplify (+ 0 1) into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.380 * [backup-simplify]: Simplify (* 1 1) into 1 4.380 * [backup-simplify]: Simplify (* 1 1) into 1 4.380 * [taylor]: Taking taylor expansion of 1 in y 4.380 * [backup-simplify]: Simplify 1 into 1 4.380 * [backup-simplify]: Simplify 1 into 1 4.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (+ 0 0) into 0 4.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.383 * [taylor]: Taking taylor expansion of 0 in y 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.385 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.385 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.385 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.385 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.386 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.387 * [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)))) 4.387 * [backup-simplify]: Simplify (+ (* 1 (- (* 8.0 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 8.0 (/ 1 (pow y 2)))) 1))) into (- (* 16.0 (/ 1 (pow y 2)))) 4.388 * [backup-simplify]: Simplify (+ (* 1 (- (* 16.0 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 8.0 (/ 1 (pow y 2)))) 1))) into (- (* 24.0 (/ 1 (pow y 2)))) 4.388 * [taylor]: Taking taylor expansion of (- (* 24.0 (/ 1 (pow y 2)))) in y 4.388 * [taylor]: Taking taylor expansion of (* 24.0 (/ 1 (pow y 2))) in y 4.388 * [taylor]: Taking taylor expansion of 24.0 in y 4.388 * [backup-simplify]: Simplify 24.0 into 24.0 4.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.388 * [taylor]: Taking taylor expansion of y in y 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (* 1 1) into 1 4.389 * [backup-simplify]: Simplify (/ 1 1) into 1 4.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.391 * [backup-simplify]: Simplify (+ (* 24.0 0) (+ (* 0 0) (* 0 1))) into 0 4.392 * [backup-simplify]: Simplify (- 0) into 0 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.394 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.395 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.395 * [backup-simplify]: Simplify (- 0) into 0 4.395 * [backup-simplify]: Simplify (+ 0 0) into 0 4.395 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.396 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.399 * [backup-simplify]: Simplify (+ 0 0) into 0 4.400 * [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 4.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 8.0 (/ 1 (pow y 2))))) (+ (* (- (* 8.0 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 16.0 (/ 1 (pow y 2))))) (+ (* (- (* 8.0 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 4.403 * [taylor]: Taking taylor expansion of 0 in y 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.404 * [backup-simplify]: Simplify (cbrt (pow (/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y))) 3)) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 4.404 * [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 4.404 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.404 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.404 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.404 * [taylor]: Taking taylor expansion of x in y 4.404 * [backup-simplify]: Simplify x into x 4.404 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.404 * [taylor]: Taking taylor expansion of 4.0 in y 4.404 * [backup-simplify]: Simplify 4.0 into 4.0 4.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.404 * [taylor]: Taking taylor expansion of y in y 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)) (pow x 2)) in y 4.404 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.404 * [taylor]: Taking taylor expansion of 4.0 in y 4.404 * [backup-simplify]: Simplify 4.0 into 4.0 4.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.404 * [taylor]: Taking taylor expansion of y in y 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) in y 4.404 * [taylor]: Taking taylor expansion of x in y 4.404 * [backup-simplify]: Simplify x into x 4.404 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.405 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.405 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.405 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.405 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.405 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.405 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.405 * [taylor]: Taking taylor expansion of x in x 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.405 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.405 * [taylor]: Taking taylor expansion of 4.0 in x 4.405 * [backup-simplify]: Simplify 4.0 into 4.0 4.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.405 * [taylor]: Taking taylor expansion of y in x 4.405 * [backup-simplify]: Simplify y into y 4.405 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.405 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.405 * [taylor]: Taking taylor expansion of 4.0 in x 4.405 * [backup-simplify]: Simplify 4.0 into 4.0 4.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.406 * [taylor]: Taking taylor expansion of y in x 4.406 * [backup-simplify]: Simplify y into y 4.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.406 * [taylor]: Taking taylor expansion of x in x 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 1 into 1 4.406 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.406 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.406 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.406 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.406 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.406 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.407 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.407 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.407 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.407 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.407 * [taylor]: Taking taylor expansion of x in x 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify 1 into 1 4.407 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.407 * [taylor]: Taking taylor expansion of 4.0 in x 4.407 * [backup-simplify]: Simplify 4.0 into 4.0 4.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.407 * [taylor]: Taking taylor expansion of y in x 4.407 * [backup-simplify]: Simplify y into y 4.407 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.407 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.407 * [taylor]: Taking taylor expansion of 4.0 in x 4.407 * [backup-simplify]: Simplify 4.0 into 4.0 4.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.407 * [taylor]: Taking taylor expansion of y in x 4.408 * [backup-simplify]: Simplify y into y 4.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.408 * [taylor]: Taking taylor expansion of x in x 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 1 into 1 4.408 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.408 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.408 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.408 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.408 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.408 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.409 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.409 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.409 * [taylor]: Taking taylor expansion of -1.0 in y 4.409 * [backup-simplify]: Simplify -1.0 into -1.0 4.409 * [backup-simplify]: Simplify -1.0 into -1.0 4.409 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.410 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.410 * [backup-simplify]: Simplify (- 0) into 0 4.411 * [backup-simplify]: Simplify (+ 0 0) into 0 4.411 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.411 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.412 * [backup-simplify]: Simplify (+ 0 0) into 0 4.412 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 4.412 * [taylor]: Taking taylor expansion of 0 in y 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 0 into 0 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 (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.417 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.417 * [backup-simplify]: Simplify (* 1 1) into 1 4.418 * [backup-simplify]: Simplify (+ 0 1) into 1 4.418 * [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))) 4.418 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 4.418 * [taylor]: Taking taylor expansion of 0.5 in y 4.418 * [backup-simplify]: Simplify 0.5 into 0.5 4.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.418 * [taylor]: Taking taylor expansion of y in y 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (* 1 1) into 1 4.419 * [backup-simplify]: Simplify (/ 1 1) into 1 4.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.421 * [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 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.424 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.425 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.426 * [backup-simplify]: Simplify (- 0) into 0 4.426 * [backup-simplify]: Simplify (+ 0 0) into 0 4.427 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.428 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.429 * [backup-simplify]: Simplify (+ 0 0) into 0 4.430 * [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 4.430 * [taylor]: Taking taylor expansion of 0 in y 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify -1.0 into -1.0 4.431 * [backup-simplify]: Simplify (cbrt (pow (/ (- (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* 4.0 (/ 1 y)) (/ 1 y)))) 3)) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.431 * [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 4.431 * [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 4.431 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.431 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.431 * [taylor]: Taking taylor expansion of x in y 4.431 * [backup-simplify]: Simplify x into x 4.431 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.431 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.431 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.431 * [taylor]: Taking taylor expansion of 4.0 in y 4.431 * [backup-simplify]: Simplify 4.0 into 4.0 4.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.432 * [taylor]: Taking taylor expansion of y in y 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify 1 into 1 4.432 * [backup-simplify]: Simplify (* 1 1) into 1 4.432 * [backup-simplify]: Simplify (/ 1 1) into 1 4.432 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.432 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.432 * [taylor]: Taking taylor expansion of 4.0 in y 4.432 * [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 4.433 * [backup-simplify]: Simplify (/ 1 1) into 1 4.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.433 * [taylor]: Taking taylor expansion of x in y 4.433 * [backup-simplify]: Simplify x into x 4.433 * [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 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.434 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.435 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.436 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.436 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.437 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.437 * [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 4.437 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 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 (* 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)) 4.438 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 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 4.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.439 * [taylor]: Taking taylor expansion of x in x 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [backup-simplify]: Simplify (* 1 1) into 1 4.440 * [backup-simplify]: Simplify (/ 1 1) into 1 4.440 * [backup-simplify]: Simplify (+ 1 0) into 1 4.440 * [backup-simplify]: Simplify (+ 0 1) into 1 4.441 * [backup-simplify]: Simplify (/ 1 1) into 1 4.441 * [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 4.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.441 * [taylor]: Taking taylor expansion of x in x 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [backup-simplify]: Simplify (* 1 1) into 1 4.442 * [backup-simplify]: Simplify (/ 1 1) into 1 4.442 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.442 * [taylor]: Taking taylor expansion of 4.0 in x 4.442 * [backup-simplify]: Simplify 4.0 into 4.0 4.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.442 * [taylor]: Taking taylor expansion of y in x 4.442 * [backup-simplify]: Simplify y into y 4.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.442 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.442 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.442 * [taylor]: Taking taylor expansion of 4.0 in x 4.442 * [backup-simplify]: Simplify 4.0 into 4.0 4.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.442 * [taylor]: Taking taylor expansion of y in x 4.442 * [backup-simplify]: Simplify y into y 4.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.443 * [taylor]: Taking taylor expansion of x in x 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 1 into 1 4.443 * [backup-simplify]: Simplify (* 1 1) into 1 4.443 * [backup-simplify]: Simplify (/ 1 1) into 1 4.444 * [backup-simplify]: Simplify (+ 1 0) into 1 4.444 * [backup-simplify]: Simplify (+ 0 1) into 1 4.444 * [backup-simplify]: Simplify (/ 1 1) into 1 4.445 * [taylor]: Taking taylor expansion of 1 in y 4.445 * [backup-simplify]: Simplify 1 into 1 4.445 * [backup-simplify]: Simplify 1 into 1 4.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.446 * [backup-simplify]: Simplify (+ 0 0) into 0 4.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.448 * [backup-simplify]: Simplify (+ 0 0) into 0 4.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.449 * [taylor]: Taking taylor expansion of 0 in y 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.452 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.452 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.452 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.453 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.455 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.456 * [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)))) 4.456 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.456 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.456 * [taylor]: Taking taylor expansion of 8.0 in y 4.456 * [backup-simplify]: Simplify 8.0 into 8.0 4.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.456 * [taylor]: Taking taylor expansion of y in y 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (* 1 1) into 1 4.457 * [backup-simplify]: Simplify (/ 1 1) into 1 4.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.461 * [backup-simplify]: Simplify (- 0) into 0 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.463 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.464 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.465 * [backup-simplify]: Simplify (- 0) into 0 4.465 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.466 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (+ 0 0) into 0 4.472 * [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 4.472 * [taylor]: Taking taylor expansion of 0 in y 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 1 into 1 4.473 * [backup-simplify]: Simplify (cbrt (pow (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4.0 (/ 1 (- y))) (/ 1 (- y))))) 3)) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.473 * [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 4.473 * [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 4.473 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.473 * [taylor]: Taking taylor expansion of x in y 4.473 * [backup-simplify]: Simplify x into x 4.473 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.473 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.473 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.473 * [taylor]: Taking taylor expansion of 4.0 in y 4.473 * [backup-simplify]: Simplify 4.0 into 4.0 4.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.473 * [taylor]: Taking taylor expansion of y in y 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (* 1 1) into 1 4.474 * [backup-simplify]: Simplify (/ 1 1) into 1 4.474 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.474 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.474 * [taylor]: Taking taylor expansion of 4.0 in y 4.474 * [backup-simplify]: Simplify 4.0 into 4.0 4.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.474 * [taylor]: Taking taylor expansion of y in y 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.475 * [backup-simplify]: Simplify (* 1 1) into 1 4.475 * [backup-simplify]: Simplify (/ 1 1) into 1 4.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.475 * [taylor]: Taking taylor expansion of x in y 4.475 * [backup-simplify]: Simplify x into x 4.475 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.475 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.476 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.476 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.477 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.477 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.478 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.479 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.479 * [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 4.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.479 * [taylor]: Taking taylor expansion of x in x 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [backup-simplify]: Simplify (* 1 1) into 1 4.479 * [backup-simplify]: Simplify (/ 1 1) into 1 4.480 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.480 * [taylor]: Taking taylor expansion of 4.0 in x 4.480 * [backup-simplify]: Simplify 4.0 into 4.0 4.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.480 * [taylor]: Taking taylor expansion of y in x 4.480 * [backup-simplify]: Simplify y into y 4.480 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.480 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.480 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.480 * [taylor]: Taking taylor expansion of 4.0 in x 4.480 * [backup-simplify]: Simplify 4.0 into 4.0 4.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.480 * [taylor]: Taking taylor expansion of y in x 4.480 * [backup-simplify]: Simplify y into y 4.480 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.480 * [taylor]: Taking taylor expansion of x in x 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.481 * [backup-simplify]: Simplify (* 1 1) into 1 4.481 * [backup-simplify]: Simplify (/ 1 1) into 1 4.482 * [backup-simplify]: Simplify (+ 1 0) into 1 4.482 * [backup-simplify]: Simplify (+ 0 1) into 1 4.482 * [backup-simplify]: Simplify (/ 1 1) into 1 4.482 * [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 4.482 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.482 * [taylor]: Taking taylor expansion of x in x 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 1 into 1 4.483 * [backup-simplify]: Simplify (* 1 1) into 1 4.483 * [backup-simplify]: Simplify (/ 1 1) into 1 4.483 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.483 * [taylor]: Taking taylor expansion of 4.0 in x 4.483 * [backup-simplify]: Simplify 4.0 into 4.0 4.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.483 * [taylor]: Taking taylor expansion of y in x 4.483 * [backup-simplify]: Simplify y into y 4.483 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.484 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.484 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.484 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.484 * [taylor]: Taking taylor expansion of 4.0 in x 4.484 * [backup-simplify]: Simplify 4.0 into 4.0 4.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.484 * [taylor]: Taking taylor expansion of y in x 4.484 * [backup-simplify]: Simplify y into y 4.484 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.484 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.484 * [taylor]: Taking taylor expansion of x in x 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [backup-simplify]: Simplify (* 1 1) into 1 4.485 * [backup-simplify]: Simplify (/ 1 1) into 1 4.485 * [backup-simplify]: Simplify (+ 1 0) into 1 4.485 * [backup-simplify]: Simplify (+ 0 1) into 1 4.486 * [backup-simplify]: Simplify (/ 1 1) into 1 4.486 * [taylor]: Taking taylor expansion of 1 in y 4.486 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify 1 into 1 4.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.488 * [backup-simplify]: Simplify (+ 0 0) into 0 4.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.490 * [backup-simplify]: Simplify (+ 0 0) into 0 4.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.490 * [taylor]: Taking taylor expansion of 0 in y 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.492 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.493 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.493 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.493 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.496 * [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)))) 4.496 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.496 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.496 * [taylor]: Taking taylor expansion of 8.0 in y 4.496 * [backup-simplify]: Simplify 8.0 into 8.0 4.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.496 * [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 (* 1 1) into 1 4.497 * [backup-simplify]: Simplify (/ 1 1) into 1 4.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.502 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.502 * [backup-simplify]: Simplify (- 0) into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.504 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.505 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.506 * [backup-simplify]: Simplify (- 0) into 0 4.506 * [backup-simplify]: Simplify (+ 0 0) into 0 4.506 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.507 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (+ 0 0) into 0 4.511 * [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 4.511 * [taylor]: Taking taylor expansion of 0 in y 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify 1 into 1 4.511 * * * [progress]: simplifying candidates 4.517 * [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))) (- 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(pow x 2) (* 4.0 (pow y 2))) -1.0 1 1 -1.0 1 1 4.524 * * [simplify]: iteration 0: 166 enodes 4.635 * * [simplify]: iteration 1: 617 enodes 5.191 * * [simplify]: iteration 2: 3981 enodes 6.417 * * [simplify]: iteration complete: 5000 enodes 6.417 * * [simplify]: Extracting #0: cost 80 inf + 0 6.419 * * [simplify]: Extracting #1: cost 1114 inf + 3 6.424 * * [simplify]: Extracting #2: cost 1876 inf + 96 6.429 * * [simplify]: Extracting #3: cost 1654 inf + 2178 6.436 * * [simplify]: Extracting #4: cost 913 inf + 17203 6.442 * * [simplify]: Extracting #5: cost 164 inf + 42314 6.453 * * [simplify]: Extracting #6: cost 4 inf + 49465 6.471 * * [simplify]: Extracting #7: cost 0 inf + 49641 6.478 * [simplify]: Simplified to: (log (/ (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x)))) (log (/ (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x)))) (exp (/ (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x)))) (pow (/ (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x))) 3) (cbrt 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(cbrt (pow (/ (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x))) 3/2)) (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x)) (cbrt (pow (/ (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x))) 2)) (cbrt (/ (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x)))) (pow (/ (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x))) 3) (sqrt (/ (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x)))) (sqrt (/ (- (* x x) (* y (* 4.0 y))) (+ (* y (* 4.0 y)) (* x x)))) -1.0 1 1 (- (* x x) (* y (* 4.0 y))) (- (* x x) (* y (* 4.0 y))) (- (* x x) (* y (* 4.0 y))) -1.0 1 1 -1.0 1 1 6.479 * * * [progress]: adding candidates to table 7.095 * * [progress]: iteration 4 / 4 7.095 * * * [progress]: picking best candidate 7.106 * * * * [pick]: Picked # 7.106 * * * [progress]: localizing error 7.110 * * * [progress]: generating rewritten candidates 7.110 * * * [progress]: generating series expansions 7.110 * * * [progress]: simplifying candidates 7.110 * [simplify]: Simplifying: 7.110 * * [simplify]: iteration 0: 0 enodes 7.110 * * [simplify]: iteration complete: 0 enodes 7.110 * * [simplify]: Extracting #0: cost 0 inf + 0 7.110 * [simplify]: Simplified to: 7.110 * * * [progress]: adding candidates to table 7.111 * [progress]: [Phase 3 of 3] Extracting. 7.111 * * [regime]: Finding splitpoints for: (# # # #) 7.111 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 7.111 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 7.192 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 7.282 * * * * [regimes]: Trying to branch on y from (# # # #) 7.347 * * * * [regimes]: Trying to branch on x from (# # # #) 7.402 * * * [regime]: Found split indices: #