24.599 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.037 * * [simplify]: iteration 0: 9 enodes 0.040 * * [simplify]: iteration 1: 17 enodes 0.046 * * [simplify]: iteration 2: 35 enodes 0.057 * * [simplify]: iteration 3: 67 enodes 0.078 * * [simplify]: iteration 4: 116 enodes 0.115 * * [simplify]: iteration 5: 169 enodes 0.160 * * [simplify]: iteration 6: 198 enodes 0.203 * * [simplify]: iteration 7: 202 enodes 0.259 * * [simplify]: iteration complete: 202 enodes 0.259 * * [simplify]: Extracting #0: cost 1 inf + 0 0.259 * * [simplify]: Extracting #1: cost 6 inf + 0 0.259 * * [simplify]: Extracting #2: cost 36 inf + 0 0.260 * * [simplify]: Extracting #3: cost 24 inf + 576 0.262 * * [simplify]: Extracting #4: cost 6 inf + 4670 0.266 * * [simplify]: Extracting #5: cost 0 inf + 5928 0.269 * [simplify]: Simplified to: (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) 0.271 * * [progress]: iteration 1 / 4 0.271 * * * [progress]: picking best candidate 0.279 * * * * [pick]: Picked # 0.279 * * * [progress]: localizing error 0.312 * * * [progress]: generating rewritten candidates 0.312 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.342 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.348 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.356 * * * [progress]: generating series expansions 0.356 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.357 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 0.357 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [backup-simplify]: Simplify x into x 0.357 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of 4.0 in y 0.357 * [backup-simplify]: Simplify 4.0 into 4.0 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 0.357 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of 4.0 in y 0.357 * [backup-simplify]: Simplify 4.0 into 4.0 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [backup-simplify]: Simplify x into x 0.357 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.357 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.357 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.357 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.358 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.358 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.358 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of 4.0 in x 0.358 * [backup-simplify]: Simplify 4.0 into 4.0 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [backup-simplify]: Simplify y into y 0.358 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of 4.0 in x 0.358 * [backup-simplify]: Simplify 4.0 into 4.0 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [backup-simplify]: Simplify y into y 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.358 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.359 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.359 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.359 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.359 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.359 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.359 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.359 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.360 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.360 * [taylor]: Taking taylor expansion of 4.0 in x 0.360 * [backup-simplify]: Simplify 4.0 into 4.0 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [backup-simplify]: Simplify y into y 0.360 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.360 * [taylor]: Taking taylor expansion of 4.0 in x 0.360 * [backup-simplify]: Simplify 4.0 into 4.0 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [backup-simplify]: Simplify y into y 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.360 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.360 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.360 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.360 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.360 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.361 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.361 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.361 * [taylor]: Taking taylor expansion of -1.0 in y 0.361 * [backup-simplify]: Simplify -1.0 into -1.0 0.361 * [backup-simplify]: Simplify -1.0 into -1.0 0.361 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.361 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.362 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 1 0) into 1 0.365 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (+ 0 1) into 1 0.366 * [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))) 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.366 * [taylor]: Taking taylor expansion of 0.5 in y 0.366 * [backup-simplify]: Simplify 0.5 into 0.5 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [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 (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify -1.0 into -1.0 0.378 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 0.378 * [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 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [backup-simplify]: Simplify x into x 0.378 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.378 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.378 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of 4.0 in y 0.378 * [backup-simplify]: Simplify 4.0 into 4.0 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.379 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of 4.0 in y 0.379 * [backup-simplify]: Simplify 4.0 into 4.0 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 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) 0.380 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.381 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.381 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.382 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.386 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.387 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.387 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (+ (* 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) 0.389 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [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 0.390 * [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 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [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)) 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (+ 1 0) into 1 0.392 * [backup-simplify]: Simplify (+ 0 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of 1 in y 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.396 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.397 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.397 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.398 * [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)))) 0.399 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.399 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.399 * [taylor]: Taking taylor expansion of 8.0 in y 0.399 * [backup-simplify]: Simplify 8.0 into 8.0 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [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 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 0.408 * [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 0.408 * [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 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [backup-simplify]: Simplify x into x 0.408 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.408 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.408 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.408 * [taylor]: Taking taylor expansion of 4.0 in y 0.408 * [backup-simplify]: Simplify 4.0 into 4.0 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.409 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.409 * [taylor]: Taking taylor expansion of 4.0 in y 0.409 * [backup-simplify]: Simplify 4.0 into 4.0 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.410 * [backup-simplify]: Simplify x into x 0.410 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.410 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.410 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.410 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.411 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.411 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.411 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.412 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.412 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 0.412 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.413 * [taylor]: Taking taylor expansion of 4.0 in x 0.413 * [backup-simplify]: Simplify 4.0 into 4.0 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [backup-simplify]: Simplify y into y 0.413 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.413 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.413 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.413 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.413 * [taylor]: Taking taylor expansion of 4.0 in x 0.413 * [backup-simplify]: Simplify 4.0 into 4.0 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [backup-simplify]: Simplify y into y 0.413 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.413 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [backup-simplify]: Simplify (+ 1 0) into 1 0.414 * [backup-simplify]: Simplify (+ 0 1) into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [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 0.414 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of 4.0 in x 0.415 * [backup-simplify]: Simplify 4.0 into 4.0 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [backup-simplify]: Simplify y into y 0.415 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.415 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.415 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.415 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of 4.0 in x 0.415 * [backup-simplify]: Simplify 4.0 into 4.0 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [backup-simplify]: Simplify y into y 0.415 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.416 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [backup-simplify]: Simplify (+ 1 0) into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [taylor]: Taking taylor expansion of 1 in y 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.421 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.421 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.421 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.423 * [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)))) 0.423 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.423 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.423 * [taylor]: Taking taylor expansion of 8.0 in y 0.423 * [backup-simplify]: Simplify 8.0 into 8.0 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [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 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.432 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.432 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [backup-simplify]: Simplify x into x 0.432 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of 4.0 in y 0.432 * [backup-simplify]: Simplify 4.0 into 4.0 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.432 * [taylor]: Taking taylor expansion of 4.0 in x 0.432 * [backup-simplify]: Simplify 4.0 into 4.0 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [backup-simplify]: Simplify y into y 0.432 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of 4.0 in x 0.433 * [backup-simplify]: Simplify 4.0 into 4.0 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [backup-simplify]: Simplify y into y 0.433 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.433 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.433 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.433 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.433 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.433 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of 4.0 in y 0.433 * [backup-simplify]: Simplify 4.0 into 4.0 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.434 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.434 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.436 * [taylor]: Taking taylor expansion of 1 in y 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.436 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.437 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.437 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [taylor]: Taking taylor expansion of 0 in y 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 (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.444 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.444 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.444 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [backup-simplify]: Simplify x into x 0.444 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.444 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.444 * [taylor]: Taking taylor expansion of 4.0 in y 0.444 * [backup-simplify]: Simplify 4.0 into 4.0 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.445 * [taylor]: Taking taylor expansion of 4.0 in x 0.445 * [backup-simplify]: Simplify 4.0 into 4.0 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [backup-simplify]: Simplify y into y 0.445 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.445 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.446 * [taylor]: Taking taylor expansion of 4.0 in x 0.446 * [backup-simplify]: Simplify 4.0 into 4.0 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [backup-simplify]: Simplify y into y 0.446 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.446 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [taylor]: Taking taylor expansion of 1 in y 0.446 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.449 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.449 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.449 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.449 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.449 * [taylor]: Taking taylor expansion of 4.0 in y 0.449 * [backup-simplify]: Simplify 4.0 into 4.0 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.450 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.450 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.450 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.452 * [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 (+ (* 1 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (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 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.462 * [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))) 0.462 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.462 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [backup-simplify]: Simplify x into x 0.462 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.462 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.462 * [taylor]: Taking taylor expansion of 4.0 in y 0.462 * [backup-simplify]: Simplify 4.0 into 4.0 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.464 * [taylor]: Taking taylor expansion of 4.0 in x 0.464 * [backup-simplify]: Simplify 4.0 into 4.0 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [backup-simplify]: Simplify y into y 0.464 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.464 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.464 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.464 * [taylor]: Taking taylor expansion of x in x 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 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.464 * [taylor]: Taking taylor expansion of 4.0 in x 0.464 * [backup-simplify]: Simplify 4.0 into 4.0 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.464 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.465 * [taylor]: Taking taylor expansion of 1 in y 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.467 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.468 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.468 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.468 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.468 * [taylor]: Taking taylor expansion of 4.0 in y 0.468 * [backup-simplify]: Simplify 4.0 into 4.0 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.469 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.469 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.476 * [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 0.480 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [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))) 0.482 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.482 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.482 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in (x y) around 0 0.482 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 0.482 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of 4.0 in y 0.482 * [backup-simplify]: Simplify 4.0 into 4.0 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [backup-simplify]: Simplify x into x 0.482 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (* 4.0 (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 (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 * [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 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (* 4.0 (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 (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 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.483 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.483 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.483 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of 4.0 in y 0.483 * [backup-simplify]: Simplify 4.0 into 4.0 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.486 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (+ 0 1) into 1 0.489 * [taylor]: Taking taylor expansion of 1 in y 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.490 * [backup-simplify]: Simplify 4.0 into 4.0 0.491 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.499 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.499 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.499 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.499 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.499 * [taylor]: Taking taylor expansion of 4.0 in y 0.499 * [backup-simplify]: Simplify 4.0 into 4.0 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [backup-simplify]: Simplify x into x 0.500 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.501 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.501 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.501 * [taylor]: Taking taylor expansion of 4.0 in x 0.501 * [backup-simplify]: Simplify 4.0 into 4.0 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [backup-simplify]: Simplify y into y 0.501 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.502 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.502 * [taylor]: Taking taylor expansion of 4.0 in x 0.502 * [backup-simplify]: Simplify 4.0 into 4.0 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [backup-simplify]: Simplify y into y 0.502 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.502 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [backup-simplify]: Simplify (+ 0 1) into 1 0.504 * [taylor]: Taking taylor expansion of 1 in y 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.509 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.509 * [taylor]: Taking taylor expansion of 4.0 in y 0.509 * [backup-simplify]: Simplify 4.0 into 4.0 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.510 * [backup-simplify]: Simplify 4.0 into 4.0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.520 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.520 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.520 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.520 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.520 * [taylor]: Taking taylor expansion of 4.0 in y 0.520 * [backup-simplify]: Simplify 4.0 into 4.0 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [backup-simplify]: Simplify x into x 0.521 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.521 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.521 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.521 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.521 * [taylor]: Taking taylor expansion of 4.0 in x 0.521 * [backup-simplify]: Simplify 4.0 into 4.0 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [backup-simplify]: Simplify y into y 0.521 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.521 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.521 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.521 * [taylor]: Taking taylor expansion of 4.0 in x 0.522 * [backup-simplify]: Simplify 4.0 into 4.0 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [backup-simplify]: Simplify y into y 0.522 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.522 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [backup-simplify]: Simplify (+ 0 1) into 1 0.523 * [taylor]: Taking taylor expansion of 1 in y 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.525 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (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 (/ 1 (pow y 2)) in y 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 (/ 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 into 1 0.526 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.537 * * * [progress]: simplifying candidates 0.538 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) 0.540 * * [simplify]: iteration 0: 87 enodes 0.560 * * [simplify]: iteration 1: 254 enodes 0.691 * * [simplify]: iteration 2: 1203 enodes 1.144 * * [simplify]: iteration complete: 5000 enodes 1.144 * * [simplify]: Extracting #0: cost 55 inf + 0 1.145 * * [simplify]: Extracting #1: cost 543 inf + 2 1.153 * * [simplify]: Extracting #2: cost 1827 inf + 587 1.174 * * [simplify]: Extracting #3: cost 1987 inf + 43290 1.265 * * [simplify]: Extracting #4: cost 523 inf + 375451 1.381 * * [simplify]: Extracting #5: cost 72 inf + 504316 1.518 * * [simplify]: Extracting #6: cost 8 inf + 519553 1.620 * * [simplify]: Extracting #7: cost 0 inf + 521846 1.714 * [simplify]: Simplified to: (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (* (* (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (* (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (* (* (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (- (- (* x x) (* y (* y 4.0)))) (- (+ (* y (* y 4.0)) (* x x))) (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (* (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (* (/ (cbrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0)))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) 1 (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) (- (* x x) (* y (* y 4.0))) (/ (+ (* x x) (* y (* y 4.0))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (sqrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (* (* (* y 4.0) (* y (* y 4.0))) (* y (* y (* y 4.0)))) (* (* x x) (* (* x x) (* x x))))) (/ (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (- (* x x) (* y (* y 4.0)))) (+ (* (+ (* x x) (* y (* y 4.0))) (* (* x x) (* x x))) (* (* y (* y 4.0)) (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))))) (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (exp (- (* x x) (* y (* y 4.0)))) (log (- (* x x) (* y (* y 4.0)))) (exp (- (* x x) (* y (* y 4.0)))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0)))) (* (- (* x x) (* y (* y 4.0))) (* (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (- (* x x) (* y (* y 4.0)))) (+ (* (* x x) (* (* x x) (* x x))) (* (- (* (* y (* y 4.0)) (* y (* y 4.0)))) (* y (* y 4.0)))) (+ (* (* y (* y 4.0)) (+ (* y (* y 4.0)) (* x x))) (* (* x x) (* x x))) (* 4.0 (* y (- y))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* y (* y 4.0))) (* 4.0 (* y (- y))) (exp (+ (* x x) (* y (* y 4.0)))) (log (+ (* x x) (* y (* y 4.0)))) (exp (+ (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (+ (* x x) (* y (* y 4.0)))) (* (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0)))) (+ (* (* (* y 4.0) (* y (* y 4.0))) (* y (* y (* y 4.0)))) (* (* x x) (* (* x x) (* x x)))) (+ (* (* x x) (* x x)) (* (* y (* y 4.0)) (- (* y (* y 4.0)) (* x x)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* y (* y 4.0))) -1.0 1 1 (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) 1.718 * * * [progress]: adding candidates to table 2.038 * * [progress]: iteration 2 / 4 2.038 * * * [progress]: picking best candidate 2.062 * * * * [pick]: Picked # 2.063 * * * [progress]: localizing error 2.063 * * * [progress]: generating rewritten candidates 2.063 * * * [progress]: generating series expansions 2.063 * * * [progress]: simplifying candidates 2.064 * [simplify]: Simplifying: 2.064 * * [simplify]: iteration 0: 0 enodes 2.064 * * [simplify]: iteration complete: 0 enodes 2.064 * * [simplify]: Extracting #0: cost 0 inf + 0 2.064 * [simplify]: Simplified to: 2.064 * * * [progress]: adding candidates to table 2.065 * * [progress]: iteration 3 / 4 2.065 * * * [progress]: picking best candidate 2.085 * * * * [pick]: Picked # 2.085 * * * [progress]: localizing error 2.121 * * * [progress]: generating rewritten candidates 2.121 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.158 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.170 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.194 * * * [progress]: generating series expansions 2.194 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.194 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 2.194 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0 2.194 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 2.194 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 2.195 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.195 * [taylor]: Taking taylor expansion of x in y 2.195 * [backup-simplify]: Simplify x into x 2.195 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.195 * [taylor]: Taking taylor expansion of 4.0 in y 2.195 * [backup-simplify]: Simplify 4.0 into 4.0 2.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.195 * [taylor]: Taking taylor expansion of y in y 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.195 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.195 * [taylor]: Taking taylor expansion of 4.0 in y 2.195 * [backup-simplify]: Simplify 4.0 into 4.0 2.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.195 * [taylor]: Taking taylor expansion of y in y 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.195 * [taylor]: Taking taylor expansion of x in y 2.195 * [backup-simplify]: Simplify x into x 2.195 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.195 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.195 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.195 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.195 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.195 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.195 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 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 (* 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 (+ (* 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 2.196 * [taylor]: Taking taylor expansion of y in x 2.196 * [backup-simplify]: Simplify y into y 2.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.196 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.196 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 2.196 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 2.196 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.196 * [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))) (* 4.0 (pow y 2))) into -1.0 2.196 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.196 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 2.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.196 * [taylor]: Taking taylor expansion of 4.0 in x 2.196 * [backup-simplify]: Simplify 4.0 into 4.0 2.197 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.197 * [taylor]: Taking taylor expansion of y in x 2.197 * [backup-simplify]: Simplify y into y 2.197 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.197 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.197 * [taylor]: Taking taylor expansion of 4.0 in x 2.197 * [backup-simplify]: Simplify 4.0 into 4.0 2.197 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.197 * [taylor]: Taking taylor expansion of y in x 2.197 * [backup-simplify]: Simplify y into y 2.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.197 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.197 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 2.197 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 2.197 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.197 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.197 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.197 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 2.198 * [taylor]: Taking taylor expansion of -1.0 in y 2.198 * [backup-simplify]: Simplify -1.0 into -1.0 2.198 * [backup-simplify]: Simplify -1.0 into -1.0 2.198 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.198 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.199 * [backup-simplify]: Simplify (- 0) into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.199 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 2.200 * [taylor]: Taking taylor expansion of 0 in y 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (* 1 1) into 1 2.200 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.201 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.201 * [backup-simplify]: Simplify (- 0) into 0 2.201 * [backup-simplify]: Simplify (+ 1 0) into 1 2.202 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.202 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.202 * [backup-simplify]: Simplify (* 1 1) into 1 2.203 * [backup-simplify]: Simplify (+ 0 1) into 1 2.203 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 2.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 2.203 * [taylor]: Taking taylor expansion of 0.5 in y 2.203 * [backup-simplify]: Simplify 0.5 into 0.5 2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.203 * [taylor]: Taking taylor expansion of y in y 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (* 1 1) into 1 2.204 * [backup-simplify]: Simplify (/ 1 1) into 1 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.207 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.208 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.208 * [backup-simplify]: Simplify (- 0) into 0 2.209 * [backup-simplify]: Simplify (+ 0 0) into 0 2.209 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.210 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.210 * [backup-simplify]: Simplify (+ 0 0) into 0 2.211 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 2.211 * [taylor]: Taking taylor expansion of 0 in y 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify -1.0 into -1.0 2.211 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (* (/ 1 y) 4.0) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 2.211 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 2.211 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 2.211 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.211 * [taylor]: Taking taylor expansion of x in y 2.211 * [backup-simplify]: Simplify x into x 2.211 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.212 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.212 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.212 * [taylor]: Taking taylor expansion of 4.0 in y 2.212 * [backup-simplify]: Simplify 4.0 into 4.0 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.212 * [taylor]: Taking taylor expansion of y in y 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [backup-simplify]: Simplify (* 1 1) into 1 2.212 * [backup-simplify]: Simplify (/ 1 1) into 1 2.212 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.212 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.212 * [taylor]: Taking taylor expansion of 4.0 in y 2.212 * [backup-simplify]: Simplify 4.0 into 4.0 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.212 * [taylor]: Taking taylor expansion of y in y 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (* 1 1) into 1 2.213 * [backup-simplify]: Simplify (/ 1 1) into 1 2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.213 * [taylor]: Taking taylor expansion of x in y 2.213 * [backup-simplify]: Simplify x into x 2.213 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.213 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.213 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.214 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.214 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 2.215 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.215 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.216 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 2.216 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 2.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.216 * [taylor]: Taking taylor expansion of x in x 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [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 (* 4.0 (/ 1 (pow y 2))) in x 2.217 * [taylor]: Taking taylor expansion of 4.0 in x 2.217 * [backup-simplify]: Simplify 4.0 into 4.0 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.217 * [taylor]: Taking taylor expansion of y in x 2.217 * [backup-simplify]: Simplify y into y 2.217 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.217 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 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 * [backup-simplify]: Simplify (+ 1 0) into 1 2.220 * [backup-simplify]: Simplify (+ 0 1) into 1 2.220 * [backup-simplify]: Simplify (/ 1 1) into 1 2.220 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 2.220 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.221 * [taylor]: Taking taylor expansion of 4.0 in x 2.221 * [backup-simplify]: Simplify 4.0 into 4.0 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.221 * [taylor]: Taking taylor expansion of y in x 2.221 * [backup-simplify]: Simplify y into y 2.221 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.222 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.222 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.222 * [taylor]: Taking taylor expansion of 4.0 in x 2.222 * [backup-simplify]: Simplify 4.0 into 4.0 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.222 * [taylor]: Taking taylor expansion of y in x 2.222 * [backup-simplify]: Simplify y into y 2.222 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.222 * [taylor]: Taking taylor expansion of x in x 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (* 1 1) into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [backup-simplify]: Simplify (+ 1 0) into 1 2.224 * [backup-simplify]: Simplify (+ 0 1) into 1 2.224 * [backup-simplify]: Simplify (/ 1 1) into 1 2.224 * [taylor]: Taking taylor expansion of 1 in y 2.224 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.228 * [taylor]: Taking taylor expansion of 0 in y 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.231 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.231 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.231 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.234 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 2.234 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.234 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.234 * [taylor]: Taking taylor expansion of 8.0 in y 2.234 * [backup-simplify]: Simplify 8.0 into 8.0 2.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.234 * [taylor]: Taking taylor expansion of y in y 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 1 into 1 2.235 * [backup-simplify]: Simplify (* 1 1) into 1 2.235 * [backup-simplify]: Simplify (/ 1 1) into 1 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.240 * [backup-simplify]: Simplify (- 0) into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.243 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.243 * [backup-simplify]: Simplify (- 0) into 0 2.243 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.244 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ 0 0) into 0 2.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.248 * [taylor]: Taking taylor expansion of 0 in y 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.249 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 2.249 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 2.249 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 2.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.249 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.249 * [taylor]: Taking taylor expansion of x in y 2.249 * [backup-simplify]: Simplify x into x 2.249 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.250 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.250 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.250 * [taylor]: Taking taylor expansion of 4.0 in y 2.250 * [backup-simplify]: Simplify 4.0 into 4.0 2.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.250 * [taylor]: Taking taylor expansion of y in y 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (* 1 1) into 1 2.251 * [backup-simplify]: Simplify (/ 1 1) into 1 2.251 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.251 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.251 * [taylor]: Taking taylor expansion of 4.0 in y 2.251 * [backup-simplify]: Simplify 4.0 into 4.0 2.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.251 * [taylor]: Taking taylor expansion of y in y 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 (/ 1 (pow x 2)) in y 2.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.252 * [taylor]: Taking taylor expansion of x in y 2.252 * [backup-simplify]: Simplify x into x 2.252 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.252 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.252 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.253 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.254 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 2.254 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.255 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.256 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 2.256 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 2.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 1 into 1 2.256 * [backup-simplify]: Simplify (* 1 1) into 1 2.256 * [backup-simplify]: Simplify (/ 1 1) into 1 2.256 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.257 * [taylor]: Taking taylor expansion of 4.0 in x 2.257 * [backup-simplify]: Simplify 4.0 into 4.0 2.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.257 * [taylor]: Taking taylor expansion of y in x 2.257 * [backup-simplify]: Simplify y into y 2.257 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.257 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.257 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.257 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.257 * [taylor]: Taking taylor expansion of 4.0 in x 2.257 * [backup-simplify]: Simplify 4.0 into 4.0 2.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.257 * [taylor]: Taking taylor expansion of y in x 2.257 * [backup-simplify]: Simplify y into y 2.257 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.257 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.257 * [taylor]: Taking taylor expansion of x in x 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.258 * [backup-simplify]: Simplify (* 1 1) into 1 2.258 * [backup-simplify]: Simplify (/ 1 1) into 1 2.259 * [backup-simplify]: Simplify (+ 1 0) into 1 2.259 * [backup-simplify]: Simplify (+ 0 1) into 1 2.260 * [backup-simplify]: Simplify (/ 1 1) into 1 2.260 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 2.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.260 * [taylor]: Taking taylor expansion of x in x 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (* 1 1) into 1 2.261 * [backup-simplify]: Simplify (/ 1 1) into 1 2.261 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.261 * [taylor]: Taking taylor expansion of 4.0 in x 2.261 * [backup-simplify]: Simplify 4.0 into 4.0 2.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.261 * [taylor]: Taking taylor expansion of y in x 2.261 * [backup-simplify]: Simplify y into y 2.261 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.261 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.261 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.261 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.261 * [taylor]: Taking taylor expansion of 4.0 in x 2.261 * [backup-simplify]: Simplify 4.0 into 4.0 2.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.261 * [taylor]: Taking taylor expansion of y in x 2.261 * [backup-simplify]: Simplify y into y 2.261 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.261 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.262 * [taylor]: Taking taylor expansion of x in x 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (* 1 1) into 1 2.262 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [backup-simplify]: Simplify (+ 1 0) into 1 2.263 * [backup-simplify]: Simplify (+ 0 1) into 1 2.264 * [backup-simplify]: Simplify (/ 1 1) into 1 2.264 * [taylor]: Taking taylor expansion of 1 in y 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (+ 0 0) into 0 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.268 * [taylor]: Taking taylor expansion of 0 in y 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.270 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.271 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.271 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.274 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 2.274 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.274 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.274 * [taylor]: Taking taylor expansion of 8.0 in y 2.274 * [backup-simplify]: Simplify 8.0 into 8.0 2.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.274 * [taylor]: Taking taylor expansion of y in y 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (* 1 1) into 1 2.275 * [backup-simplify]: Simplify (/ 1 1) into 1 2.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.280 * [backup-simplify]: Simplify (- 0) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.283 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.283 * [backup-simplify]: Simplify (- 0) into 0 2.284 * [backup-simplify]: Simplify (+ 0 0) into 0 2.284 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.285 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ 0 0) into 0 2.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.289 * [taylor]: Taking taylor expansion of 0 in y 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.289 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 2.289 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 2.289 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 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 * [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) (* 4.0 (pow y 2))) in x 2.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.290 * [taylor]: Taking taylor expansion of x in x 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)) 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 y 2) in x 2.290 * [taylor]: Taking taylor expansion of y in x 2.290 * [backup-simplify]: Simplify y into y 2.290 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 2.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.290 * [taylor]: Taking taylor expansion of x in x 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)) 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 y 2) in x 2.290 * [taylor]: Taking taylor expansion of y in x 2.290 * [backup-simplify]: Simplify y into y 2.290 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.290 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.291 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 2.291 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 2.291 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 2.291 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.291 * [taylor]: Taking taylor expansion of 4.0 in y 2.291 * [backup-simplify]: Simplify 4.0 into 4.0 2.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.291 * [taylor]: Taking taylor expansion of y in y 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.292 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.292 * [backup-simplify]: Simplify (- 0) into 0 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [taylor]: Taking taylor expansion of 0 in y 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify (* 1 1) into 1 2.293 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.294 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.294 * [backup-simplify]: Simplify (- 0) into 0 2.294 * [backup-simplify]: Simplify (+ 1 0) into 1 2.294 * [taylor]: Taking taylor expansion of 1 in y 2.295 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (* 1 1) into 1 2.295 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.295 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.296 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.296 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.297 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.297 * [backup-simplify]: Simplify (- 0) into 0 2.298 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [taylor]: Taking taylor expansion of 0 in y 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.299 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.299 * [backup-simplify]: Simplify (- 0) into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.300 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.301 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.302 * [backup-simplify]: Simplify (- 0) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.302 * [taylor]: Taking taylor expansion of 0 in y 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 2.302 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 2.302 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 2.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.303 * [taylor]: Taking taylor expansion of x in y 2.303 * [backup-simplify]: Simplify x into x 2.303 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.303 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.303 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.303 * [taylor]: Taking taylor expansion of 4.0 in y 2.303 * [backup-simplify]: Simplify 4.0 into 4.0 2.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.303 * [taylor]: Taking taylor expansion of y in y 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 1 into 1 2.303 * [backup-simplify]: Simplify (* 1 1) into 1 2.304 * [backup-simplify]: Simplify (/ 1 1) into 1 2.304 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.304 * [taylor]: Taking taylor expansion of x in x 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify (* 1 1) into 1 2.304 * [backup-simplify]: Simplify (/ 1 1) into 1 2.304 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.304 * [taylor]: Taking taylor expansion of 4.0 in x 2.304 * [backup-simplify]: Simplify 4.0 into 4.0 2.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.304 * [taylor]: Taking taylor expansion of y in x 2.304 * [backup-simplify]: Simplify y into y 2.304 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.304 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.305 * [taylor]: Taking taylor expansion of x in x 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (* 1 1) into 1 2.305 * [backup-simplify]: Simplify (/ 1 1) into 1 2.305 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.305 * [taylor]: Taking taylor expansion of 4.0 in x 2.305 * [backup-simplify]: Simplify 4.0 into 4.0 2.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.306 * [taylor]: Taking taylor expansion of y in x 2.306 * [backup-simplify]: Simplify y into y 2.306 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.306 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.306 * [backup-simplify]: Simplify (+ 1 0) into 1 2.306 * [taylor]: Taking taylor expansion of 1 in y 2.306 * [backup-simplify]: Simplify 1 into 1 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [taylor]: Taking taylor expansion of 0 in y 2.308 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.310 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.310 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.310 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 2.310 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.310 * [taylor]: Taking taylor expansion of 4.0 in y 2.310 * [backup-simplify]: Simplify 4.0 into 4.0 2.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.310 * [taylor]: Taking taylor expansion of y in y 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (* 1 1) into 1 2.311 * [backup-simplify]: Simplify (/ 1 1) into 1 2.312 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.312 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.312 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.312 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.315 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.316 * [backup-simplify]: Simplify (- 0) into 0 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.316 * [taylor]: Taking taylor expansion of 0 in y 2.316 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.319 * [backup-simplify]: Simplify (- 0) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.323 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.323 * [backup-simplify]: Simplify (- 0) into 0 2.324 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [taylor]: Taking taylor expansion of 0 in y 2.324 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.329 * [backup-simplify]: Simplify (- 0) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 2.331 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 2.331 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 2.331 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.331 * [taylor]: Taking taylor expansion of x in y 2.331 * [backup-simplify]: Simplify x into x 2.331 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.331 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.331 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.331 * [taylor]: Taking taylor expansion of 4.0 in y 2.331 * [backup-simplify]: Simplify 4.0 into 4.0 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.331 * [taylor]: Taking taylor expansion of y in y 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (* 1 1) into 1 2.332 * [backup-simplify]: Simplify (/ 1 1) into 1 2.332 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (* 1 1) into 1 2.333 * [backup-simplify]: Simplify (/ 1 1) into 1 2.333 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.333 * [taylor]: Taking taylor expansion of 4.0 in x 2.333 * [backup-simplify]: Simplify 4.0 into 4.0 2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.333 * [taylor]: Taking taylor expansion of y in x 2.333 * [backup-simplify]: Simplify y into y 2.334 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.334 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.334 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.334 * [taylor]: Taking taylor expansion of x in x 2.334 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (* 1 1) into 1 2.335 * [backup-simplify]: Simplify (/ 1 1) into 1 2.335 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.335 * [taylor]: Taking taylor expansion of 4.0 in x 2.335 * [backup-simplify]: Simplify 4.0 into 4.0 2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.335 * [taylor]: Taking taylor expansion of y in x 2.335 * [backup-simplify]: Simplify y into y 2.335 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.335 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.336 * [backup-simplify]: Simplify (+ 1 0) into 1 2.336 * [taylor]: Taking taylor expansion of 1 in y 2.336 * [backup-simplify]: Simplify 1 into 1 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (+ 0 0) into 0 2.338 * [taylor]: Taking taylor expansion of 0 in y 2.338 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.340 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.340 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.340 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 2.341 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.341 * [taylor]: Taking taylor expansion of 4.0 in y 2.341 * [backup-simplify]: Simplify 4.0 into 4.0 2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.341 * [taylor]: Taking taylor expansion of y in y 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (* 1 1) into 1 2.342 * [backup-simplify]: Simplify (/ 1 1) into 1 2.342 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.342 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.343 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.343 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.346 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.347 * [backup-simplify]: Simplify (- 0) into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.347 * [taylor]: Taking taylor expansion of 0 in y 2.347 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.351 * [backup-simplify]: Simplify (- 0) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.356 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.356 * [backup-simplify]: Simplify (- 0) into 0 2.357 * [backup-simplify]: Simplify (+ 0 0) into 0 2.357 * [taylor]: Taking taylor expansion of 0 in y 2.357 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.360 * [backup-simplify]: Simplify (- 0) into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 2.361 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.361 * [backup-simplify]: Simplify (+ (* (* y 4.0) y) (* x x)) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.362 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in (y x) around 0 2.362 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.362 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.362 * [taylor]: Taking taylor expansion of 4.0 in x 2.362 * [backup-simplify]: Simplify 4.0 into 4.0 2.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.362 * [taylor]: Taking taylor expansion of y in x 2.362 * [backup-simplify]: Simplify y into y 2.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.362 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.362 * [taylor]: Taking taylor expansion of 4.0 in y 2.362 * [backup-simplify]: Simplify 4.0 into 4.0 2.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.362 * [taylor]: Taking taylor expansion of y in y 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.362 * [taylor]: Taking taylor expansion of x in y 2.362 * [backup-simplify]: Simplify x into x 2.362 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.362 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.362 * [taylor]: Taking taylor expansion of 4.0 in y 2.362 * [backup-simplify]: Simplify 4.0 into 4.0 2.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.362 * [taylor]: Taking taylor expansion of y in y 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.362 * [taylor]: Taking taylor expansion of x in y 2.362 * [backup-simplify]: Simplify x into x 2.363 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.363 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.363 * [taylor]: Taking taylor expansion of 0 in x 2.363 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (* 1 1) into 1 2.364 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.365 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.365 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.365 * [taylor]: Taking taylor expansion of 4.0 in x 2.365 * [backup-simplify]: Simplify 4.0 into 4.0 2.365 * [backup-simplify]: Simplify 4.0 into 4.0 2.365 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (* 1 1) into 1 2.366 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.367 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.368 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.369 * [taylor]: Taking taylor expansion of 0 in x 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.371 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.373 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.373 * [taylor]: Taking taylor expansion of 0 in x 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 4.0 (pow (* 1 y) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.374 * [backup-simplify]: Simplify (+ (* (* (/ 1 y) 4.0) (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 2.374 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (y x) around 0 2.374 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.374 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.374 * [taylor]: Taking taylor expansion of 4.0 in x 2.374 * [backup-simplify]: Simplify 4.0 into 4.0 2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.374 * [taylor]: Taking taylor expansion of y in x 2.374 * [backup-simplify]: Simplify y into y 2.374 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.374 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (* 1 1) into 1 2.375 * [backup-simplify]: Simplify (/ 1 1) into 1 2.375 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.375 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.375 * [taylor]: Taking taylor expansion of 4.0 in y 2.375 * [backup-simplify]: Simplify 4.0 into 4.0 2.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.375 * [taylor]: Taking taylor expansion of y in y 2.375 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (* 1 1) into 1 2.376 * [backup-simplify]: Simplify (/ 1 1) into 1 2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.376 * [taylor]: Taking taylor expansion of x in y 2.376 * [backup-simplify]: Simplify x into x 2.376 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.377 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.377 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.377 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.377 * [taylor]: Taking taylor expansion of 4.0 in y 2.377 * [backup-simplify]: Simplify 4.0 into 4.0 2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.377 * [taylor]: Taking taylor expansion of y in y 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [backup-simplify]: Simplify (* 1 1) into 1 2.378 * [backup-simplify]: Simplify (/ 1 1) into 1 2.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.378 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.378 * [taylor]: Taking taylor expansion of x in y 2.378 * [backup-simplify]: Simplify x into x 2.378 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.378 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.379 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.379 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.379 * [taylor]: Taking taylor expansion of 4.0 in x 2.379 * [backup-simplify]: Simplify 4.0 into 4.0 2.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [taylor]: Taking taylor expansion of 0 in x 2.382 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.385 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.385 * [taylor]: Taking taylor expansion of x in x 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 1 into 1 2.385 * [backup-simplify]: Simplify (* 1 1) into 1 2.386 * [backup-simplify]: Simplify (/ 1 1) into 1 2.386 * [backup-simplify]: Simplify 1 into 1 2.386 * [backup-simplify]: Simplify 4.0 into 4.0 2.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.390 * [backup-simplify]: Simplify (+ 0 0) into 0 2.390 * [taylor]: Taking taylor expansion of 0 in x 2.390 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.395 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.396 * [backup-simplify]: Simplify (+ 0 0) into 0 2.396 * [taylor]: Taking taylor expansion of 0 in x 2.396 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.399 * [backup-simplify]: Simplify (+ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 2.399 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (y x) around 0 2.399 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.399 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.399 * [taylor]: Taking taylor expansion of 4.0 in x 2.399 * [backup-simplify]: Simplify 4.0 into 4.0 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.399 * [taylor]: Taking taylor expansion of y in x 2.399 * [backup-simplify]: Simplify y into y 2.400 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.400 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.400 * [taylor]: Taking taylor expansion of x in x 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 1 into 1 2.400 * [backup-simplify]: Simplify (* 1 1) into 1 2.401 * [backup-simplify]: Simplify (/ 1 1) into 1 2.401 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.401 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.401 * [taylor]: Taking taylor expansion of 4.0 in y 2.401 * [backup-simplify]: Simplify 4.0 into 4.0 2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.401 * [taylor]: Taking taylor expansion of y in y 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [backup-simplify]: Simplify (* 1 1) into 1 2.402 * [backup-simplify]: Simplify (/ 1 1) into 1 2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.402 * [taylor]: Taking taylor expansion of x in y 2.402 * [backup-simplify]: Simplify x into x 2.402 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.402 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.402 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.402 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.402 * [taylor]: Taking taylor expansion of 4.0 in y 2.402 * [backup-simplify]: Simplify 4.0 into 4.0 2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.402 * [taylor]: Taking taylor expansion of y in y 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (* 1 1) into 1 2.403 * [backup-simplify]: Simplify (/ 1 1) into 1 2.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.403 * [taylor]: Taking taylor expansion of x in y 2.403 * [backup-simplify]: Simplify x into x 2.403 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.403 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.404 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.404 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.404 * [taylor]: Taking taylor expansion of 4.0 in x 2.404 * [backup-simplify]: Simplify 4.0 into 4.0 2.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.407 * [backup-simplify]: Simplify (+ 0 0) into 0 2.407 * [taylor]: Taking taylor expansion of 0 in x 2.407 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.410 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify (* 1 1) into 1 2.411 * [backup-simplify]: Simplify (/ 1 1) into 1 2.411 * [backup-simplify]: Simplify 1 into 1 2.411 * [backup-simplify]: Simplify 4.0 into 4.0 2.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.415 * [backup-simplify]: Simplify (+ 0 0) into 0 2.415 * [taylor]: Taking taylor expansion of 0 in x 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.416 * [backup-simplify]: Simplify 0 into 0 2.416 * [backup-simplify]: Simplify 0 into 0 2.416 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.420 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.421 * [backup-simplify]: Simplify (+ 0 0) into 0 2.421 * [taylor]: Taking taylor expansion of 0 in x 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.423 * * * [progress]: simplifying candidates 2.425 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* (* 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)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* (* y 4.0) y) (* x x)) (+ (* (* y 4.0) y) (* x x))) (+ (* (* y 4.0) y) (* x x)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x)))) (/ (- (* 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)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* (* y 4.0) y) (* x x))) (/ (* x x) (+ (* (* y 4.0) y) (* x x))) (/ (* (* y 4.0) y) (+ (* (* y 4.0) y) (* x x))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* (* y 4.0) y) (* x x))) (cbrt (+ (* (* y 4.0) y) (* x x))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* (* y 4.0) y) (* x x)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* (* y 4.0) y) (* x x))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* (* y 4.0) y) (* x x))) (cbrt (+ (* (* y 4.0) y) (* x x))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* (* y 4.0) y) (* x x)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* (* y 4.0) y) (* x x))) (/ 1 (* (cbrt (+ (* (* y 4.0) y) (* x x))) (cbrt (+ (* (* y 4.0) y) (* x x))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* (* y 4.0) y) (* x x)))) (/ 1 (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x))) (/ 1 (+ (* (* y 4.0) y) (* x x))) (/ (+ (* (* y 4.0) y) (* x x)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* (* y 4.0) y) (* x x))) (cbrt (+ (* (* y 4.0) y) (* x x))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* (* y 4.0) y) (* x x)) (cbrt (- (* 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)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* (* y 4.0) y) 3) (pow (* x x) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* x x)))) (* (+ (* (* y 4.0) y) (* x x)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* (* y 4.0) y) (* x x)) (+ (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (* (exp (* (* y 4.0) y)) (exp (* x x))) (log (+ (* (* y 4.0) y) (* x x))) (exp (+ (* (* y 4.0) y) (* x x))) (* (cbrt (+ (* (* y 4.0) y) (* x x))) (cbrt (+ (* (* y 4.0) y) (* x x)))) (cbrt (+ (* (* y 4.0) y) (* x x))) (* (* (+ (* (* y 4.0) y) (* x x)) (+ (* (* y 4.0) y) (* x x))) (+ (* (* y 4.0) y) (* x x))) (sqrt (+ (* (* y 4.0) y) (* x x))) (sqrt (+ (* (* y 4.0) y) (* x x))) (+ (pow (* (* y 4.0) y) 3) (pow (* x x) 3)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* x x)))) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* x x))) (- (* (* y 4.0) y) (* x x)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) 2.427 * * [simplify]: iteration 0: 92 enodes 2.455 * * [simplify]: iteration 1: 278 enodes 2.615 * * [simplify]: iteration 2: 1358 enodes 3.054 * * [simplify]: iteration complete: 5002 enodes 3.054 * * [simplify]: Extracting #0: cost 57 inf + 0 3.056 * * [simplify]: Extracting #1: cost 523 inf + 2 3.065 * * [simplify]: Extracting #2: cost 1848 inf + 6311 3.086 * * [simplify]: Extracting #3: cost 1491 inf + 111686 3.153 * * [simplify]: Extracting #4: cost 438 inf + 333503 3.247 * * [simplify]: Extracting #5: cost 81 inf + 431945 3.363 * * [simplify]: Extracting #6: cost 8 inf + 448908 3.462 * * [simplify]: Extracting #7: cost 0 inf + 451372 3.552 * [simplify]: Simplified to: (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (+ (- (* x x)) (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (* (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* (* x (* x x)) (* x (* x x))) (* (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (* (+ (* (* y 4.0) y) (* x x)) (- (* (* y 4.0) y) (* x x)))) (* (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (* x x))) (* (* x x) (* x x))) (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (* (* x (* x x)) (* x (* x x))) (* (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* y 4.0) y))) (+ (* (* (* y 4.0) y) (+ (* (* y 4.0) y) (* x x))) (* (* x x) (* x x))) (* (* y 4.0) (- y)) (* (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) (- y)) (exp (+ (* (* y 4.0) y) (* x x))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* (* y 4.0) y) (* x x))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (* (* x (* x x)) (* x (* x x))) (* (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* y 4.0) y))) (+ (* (- (* x x) (* (* y 4.0) y)) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (* (+ (* (* y 4.0) y) (* x x)) (- (* (* y 4.0) y) (* x x))) (- (* (* 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)) (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)) 3.559 * * * [progress]: adding candidates to table 3.821 * * [progress]: iteration 4 / 4 3.821 * * * [progress]: picking best candidate 3.834 * * * * [pick]: Picked # 3.834 * * * [progress]: localizing error 3.835 * * * [progress]: generating rewritten candidates 3.835 * * * [progress]: generating series expansions 3.835 * * * [progress]: simplifying candidates 3.835 * [simplify]: Simplifying: 3.835 * * [simplify]: iteration 0: 0 enodes 3.835 * * [simplify]: iteration complete: 0 enodes 3.835 * * [simplify]: Extracting #0: cost 0 inf + 0 3.835 * [simplify]: Simplified to: 3.835 * * * [progress]: adding candidates to table 3.836 * [progress]: [Phase 3 of 3] Extracting. 3.836 * * [regime]: Finding splitpoints for: (# # # #) 3.837 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x) 3.837 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # #) 3.901 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 3.955 * * * * [regimes]: Trying to branch on y from (# # # #) 4.048 * * * * [regimes]: Trying to branch on x from (# # # #) 4.135 * * * [regime]: Found split indices: #