0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.036 * [simplify]: Simplifying (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.036 * * [simplify]: iteration 1: (9 enodes) 0.038 * * [simplify]: iteration 2: (40 enodes) 0.045 * * [simplify]: iteration 3: (78 enodes) 0.065 * * [simplify]: iteration 4: (151 enodes) 0.089 * * [simplify]: iteration 5: (261 enodes) 0.142 * * [simplify]: iteration 6: (452 enodes) 0.295 * * [simplify]: iteration 7: (745 enodes) 0.566 * * [simplify]: iteration 8: (1245 enodes) 2.005 * * [simplify]: Extracting #0: cost 1 inf + 0 2.006 * * [simplify]: Extracting #1: cost 64 inf + 0 2.007 * * [simplify]: Extracting #2: cost 276 inf + 1 2.009 * * [simplify]: Extracting #3: cost 403 inf + 2263 2.021 * * [simplify]: Extracting #4: cost 148 inf + 47138 2.069 * * [simplify]: Extracting #5: cost 11 inf + 85998 2.128 * * [simplify]: Extracting #6: cost 0 inf + 89141 2.182 * [simplify]: Simplified to (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) 2.187 * * [progress]: iteration 1 / 4 2.187 * * * [progress]: picking best candidate 2.189 * * * * [pick]: Picked # 2.189 * * * [progress]: localizing error 2.208 * * * [progress]: generating rewritten candidates 2.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.235 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.254 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.316 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.330 * * * [progress]: generating series expansions 2.330 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.330 * [backup-simplify]: Simplify (/ (* y y) (+ (* y y) (* x x))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 2.330 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 2.330 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 2.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.330 * [taylor]: Taking taylor expansion of y in x 2.330 * [backup-simplify]: Simplify y into y 2.330 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.331 * [taylor]: Taking taylor expansion of y in x 2.331 * [backup-simplify]: Simplify y into y 2.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.331 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.331 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.331 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 2.331 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 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 2.331 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 2.331 * [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 2.332 * [backup-simplify]: Simplify (* 1 1) into 1 2.332 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.332 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.332 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.333 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 2.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.333 * [taylor]: Taking taylor expansion of y in y 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.333 * [taylor]: Taking taylor expansion of y in y 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.333 * [taylor]: Taking taylor expansion of x in y 2.333 * [backup-simplify]: Simplify x into x 2.334 * [backup-simplify]: Simplify (* 1 1) into 1 2.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.334 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.334 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 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 2.335 * [backup-simplify]: Simplify (* 1 1) into 1 2.335 * [backup-simplify]: Simplify (/ 1 1) into 1 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.340 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.341 * [backup-simplify]: Simplify (+ 0 0) into 0 2.341 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.341 * [taylor]: Taking taylor expansion of 0 in x 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.345 * [backup-simplify]: Simplify (* 1 1) into 1 2.346 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.346 * [backup-simplify]: Simplify (+ 1 0) into 1 2.347 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 2.347 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.347 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.347 * [taylor]: Taking taylor expansion of x in x 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (* 1 1) into 1 2.348 * [backup-simplify]: Simplify (* 1 1) into 1 2.348 * [backup-simplify]: Simplify (/ 1 1) into 1 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 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 2.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 2.363 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 2.363 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.363 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.363 * [taylor]: Taking taylor expansion of y in x 2.363 * [backup-simplify]: Simplify y into y 2.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.363 * [taylor]: Taking taylor expansion of y in x 2.363 * [backup-simplify]: Simplify y into y 2.363 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.363 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 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 2.364 * [backup-simplify]: Simplify (* 1 1) into 1 2.364 * [backup-simplify]: Simplify (/ 1 1) into 1 2.364 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.365 * [backup-simplify]: Simplify (+ 0 1) into 1 2.365 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.365 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.365 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.365 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.365 * [taylor]: Taking taylor expansion of y in y 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.365 * [taylor]: Taking taylor expansion of y in y 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (* 1 1) into 1 2.366 * [backup-simplify]: Simplify (/ 1 1) into 1 2.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.366 * [taylor]: Taking taylor expansion of x in y 2.366 * [backup-simplify]: Simplify x into x 2.366 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.366 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.367 * [backup-simplify]: Simplify (* 1 1) into 1 2.367 * [backup-simplify]: Simplify (+ 1 0) into 1 2.368 * [backup-simplify]: Simplify (* 1 1) into 1 2.368 * [backup-simplify]: Simplify (/ 1 1) into 1 2.368 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.368 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.368 * [taylor]: Taking taylor expansion of y in y 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.368 * [taylor]: Taking taylor expansion of y in y 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (* 1 1) into 1 2.369 * [backup-simplify]: Simplify (/ 1 1) into 1 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.369 * [taylor]: Taking taylor expansion of x in y 2.369 * [backup-simplify]: Simplify x into x 2.369 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.369 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.370 * [backup-simplify]: Simplify (* 1 1) into 1 2.370 * [backup-simplify]: Simplify (+ 1 0) into 1 2.371 * [backup-simplify]: Simplify (* 1 1) into 1 2.371 * [backup-simplify]: Simplify (/ 1 1) into 1 2.371 * [taylor]: Taking taylor expansion of 1 in x 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.375 * [taylor]: Taking taylor expansion of 0 in x 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 2.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.382 * [taylor]: Taking taylor expansion of x in x 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (* 1 1) into 1 2.383 * [backup-simplify]: Simplify (/ 1 1) into 1 2.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 2.392 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 2.392 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.392 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.392 * [taylor]: Taking taylor expansion of y in x 2.392 * [backup-simplify]: Simplify y into y 2.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.392 * [taylor]: Taking taylor expansion of y in x 2.392 * [backup-simplify]: Simplify y into y 2.392 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.392 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.392 * [taylor]: Taking taylor expansion of x in x 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify (* 1 1) into 1 2.393 * [backup-simplify]: Simplify (/ 1 1) into 1 2.393 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.394 * [backup-simplify]: Simplify (+ 0 1) into 1 2.394 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.394 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.394 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.394 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.394 * [taylor]: Taking taylor expansion of y in y 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.394 * [taylor]: Taking taylor expansion of y in y 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (* 1 1) into 1 2.395 * [backup-simplify]: Simplify (/ 1 1) into 1 2.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.395 * [taylor]: Taking taylor expansion of x in y 2.395 * [backup-simplify]: Simplify x into x 2.395 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.396 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.396 * [backup-simplify]: Simplify (* 1 1) into 1 2.396 * [backup-simplify]: Simplify (+ 1 0) into 1 2.397 * [backup-simplify]: Simplify (* 1 1) into 1 2.397 * [backup-simplify]: Simplify (/ 1 1) into 1 2.397 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.397 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.398 * [taylor]: Taking taylor expansion of y in y 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.398 * [taylor]: Taking taylor expansion of y in y 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (* 1 1) into 1 2.399 * [backup-simplify]: Simplify (/ 1 1) into 1 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.399 * [taylor]: Taking taylor expansion of x in y 2.399 * [backup-simplify]: Simplify x into x 2.399 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.399 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.399 * [backup-simplify]: Simplify (* 1 1) into 1 2.400 * [backup-simplify]: Simplify (+ 1 0) 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 1 in x 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.403 * [backup-simplify]: Simplify (+ 0 0) into 0 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.405 * [taylor]: Taking taylor expansion of 0 in x 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.409 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 2.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) 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 (/ 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 2.411 * [backup-simplify]: Simplify (* 1 1) into 1 2.411 * [backup-simplify]: Simplify (/ 1 1) into 1 2.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 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 (- 0) into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.419 * [backup-simplify]: Simplify (/ (* x x) (+ (* y y) (* x x))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 2.419 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 2.420 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 2.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.420 * [taylor]: Taking taylor expansion of x in y 2.420 * [backup-simplify]: Simplify x into x 2.420 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.420 * [taylor]: Taking taylor expansion of y in y 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.420 * [taylor]: Taking taylor expansion of x in y 2.420 * [backup-simplify]: Simplify x into x 2.420 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.420 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.420 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.420 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.420 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 2.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.420 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.420 * [taylor]: Taking taylor expansion of y in x 2.420 * [backup-simplify]: Simplify y into y 2.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (* 1 1) into 1 2.421 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.421 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.421 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.421 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 2.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.421 * [taylor]: Taking taylor expansion of x in x 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.421 * [taylor]: Taking taylor expansion of y in x 2.421 * [backup-simplify]: Simplify y into y 2.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.422 * [taylor]: Taking taylor expansion of x in x 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [backup-simplify]: Simplify (* 1 1) into 1 2.422 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.422 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.422 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.422 * [taylor]: Taking taylor expansion of y in y 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (* 1 1) into 1 2.423 * [backup-simplify]: Simplify (/ 1 1) into 1 2.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.428 * [backup-simplify]: Simplify (+ 0 0) into 0 2.428 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.428 * [taylor]: Taking taylor expansion of 0 in y 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.432 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.432 * [backup-simplify]: Simplify (* 1 1) into 1 2.433 * [backup-simplify]: Simplify (+ 0 1) into 1 2.433 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 2.433 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.433 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.433 * [taylor]: Taking taylor expansion of y in y 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.434 * [backup-simplify]: Simplify (* 1 1) into 1 2.434 * [backup-simplify]: Simplify (* 1 1) into 1 2.434 * [backup-simplify]: Simplify (/ 1 1) into 1 2.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (- 0) into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 2.451 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 2.451 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.451 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.451 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.451 * [taylor]: Taking taylor expansion of x in y 2.451 * [backup-simplify]: Simplify x into x 2.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.452 * [taylor]: Taking taylor expansion of y in y 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (* 1 1) into 1 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.453 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.453 * [taylor]: Taking taylor expansion of x in y 2.453 * [backup-simplify]: Simplify x into x 2.453 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.453 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.453 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.453 * [backup-simplify]: Simplify (+ 1 0) into 1 2.454 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 2.454 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.454 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.454 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 1 into 1 2.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.454 * [taylor]: Taking taylor expansion of y in x 2.454 * [backup-simplify]: Simplify y into y 2.454 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.454 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 1 into 1 2.455 * [backup-simplify]: Simplify (* 1 1) into 1 2.455 * [backup-simplify]: Simplify (/ 1 1) into 1 2.455 * [backup-simplify]: Simplify (* 1 1) into 1 2.456 * [backup-simplify]: Simplify (+ 0 1) into 1 2.456 * [backup-simplify]: Simplify (* 1 1) into 1 2.457 * [backup-simplify]: Simplify (/ 1 1) into 1 2.457 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.457 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.457 * [taylor]: Taking taylor expansion of x in x 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.457 * [taylor]: Taking taylor expansion of y in x 2.457 * [backup-simplify]: Simplify y into y 2.457 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.457 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.457 * [taylor]: Taking taylor expansion of x in x 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (* 1 1) into 1 2.458 * [backup-simplify]: Simplify (/ 1 1) into 1 2.458 * [backup-simplify]: Simplify (* 1 1) into 1 2.459 * [backup-simplify]: Simplify (+ 0 1) into 1 2.459 * [backup-simplify]: Simplify (* 1 1) into 1 2.460 * [backup-simplify]: Simplify (/ 1 1) into 1 2.460 * [taylor]: Taking taylor expansion of 1 in y 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.464 * [taylor]: Taking taylor expansion of 0 in y 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.468 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 2.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 2.469 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.469 * [taylor]: Taking taylor expansion of y in y 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.470 * [backup-simplify]: Simplify (* 1 1) into 1 2.470 * [backup-simplify]: Simplify (/ 1 1) into 1 2.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (- 0) into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 2.479 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 2.479 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.479 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.479 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.479 * [taylor]: Taking taylor expansion of x in y 2.479 * [backup-simplify]: Simplify x into x 2.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.479 * [taylor]: Taking taylor expansion of y in y 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [backup-simplify]: Simplify (* 1 1) into 1 2.480 * [backup-simplify]: Simplify (/ 1 1) into 1 2.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.480 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.480 * [taylor]: Taking taylor expansion of x in y 2.480 * [backup-simplify]: Simplify x into x 2.480 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.480 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.480 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.480 * [backup-simplify]: Simplify (+ 1 0) into 1 2.480 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 2.481 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.481 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.481 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.481 * [taylor]: Taking taylor expansion of x in x 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.481 * [taylor]: Taking taylor expansion of y in x 2.481 * [backup-simplify]: Simplify y into y 2.481 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.481 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.481 * [taylor]: Taking taylor expansion of x in x 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [backup-simplify]: Simplify (* 1 1) into 1 2.482 * [backup-simplify]: Simplify (/ 1 1) into 1 2.482 * [backup-simplify]: Simplify (* 1 1) into 1 2.483 * [backup-simplify]: Simplify (+ 0 1) into 1 2.483 * [backup-simplify]: Simplify (* 1 1) into 1 2.483 * [backup-simplify]: Simplify (/ 1 1) into 1 2.484 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.484 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.484 * [taylor]: Taking taylor expansion of x in x 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.484 * [taylor]: Taking taylor expansion of y in x 2.484 * [backup-simplify]: Simplify y into y 2.484 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.484 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.484 * [taylor]: Taking taylor expansion of x in x 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (* 1 1) into 1 2.485 * [backup-simplify]: Simplify (/ 1 1) into 1 2.485 * [backup-simplify]: Simplify (* 1 1) into 1 2.486 * [backup-simplify]: Simplify (+ 0 1) into 1 2.486 * [backup-simplify]: Simplify (* 1 1) into 1 2.486 * [backup-simplify]: Simplify (/ 1 1) into 1 2.487 * [taylor]: Taking taylor expansion of 1 in y 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.491 * [taylor]: Taking taylor expansion of 0 in y 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.495 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 2.496 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.496 * [taylor]: Taking taylor expansion of y in y 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 1 into 1 2.496 * [backup-simplify]: Simplify (* 1 1) into 1 2.497 * [backup-simplify]: Simplify (/ 1 1) into 1 2.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (- 0) into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.506 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) 2.506 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0 2.506 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y 2.506 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 2.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.506 * [taylor]: Taking taylor expansion of x in y 2.506 * [backup-simplify]: Simplify x into x 2.506 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.506 * [taylor]: Taking taylor expansion of y in y 2.506 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.507 * [taylor]: Taking taylor expansion of x in y 2.507 * [backup-simplify]: Simplify x into x 2.507 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.507 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.507 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.507 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.507 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 2.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.507 * [taylor]: Taking taylor expansion of y in y 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.507 * [taylor]: Taking taylor expansion of y in y 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.507 * [taylor]: Taking taylor expansion of x in y 2.507 * [backup-simplify]: Simplify x into x 2.508 * [backup-simplify]: Simplify (* 1 1) into 1 2.508 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.508 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.508 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.508 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 2.508 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 2.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.508 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.508 * [taylor]: Taking taylor expansion of y in x 2.509 * [backup-simplify]: Simplify y into y 2.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.509 * [taylor]: Taking taylor expansion of x in x 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (* 1 1) into 1 2.509 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.509 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.509 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.509 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 2.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.509 * [taylor]: Taking taylor expansion of y in x 2.509 * [backup-simplify]: Simplify y into y 2.509 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.510 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.510 * [taylor]: Taking taylor expansion of y in x 2.510 * [backup-simplify]: Simplify y into y 2.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.510 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.510 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.510 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 2.510 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 2.510 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 2.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.510 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.510 * [taylor]: Taking taylor expansion of y in x 2.510 * [backup-simplify]: Simplify y into y 2.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (* 1 1) into 1 2.511 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.511 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.511 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.511 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 2.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.511 * [taylor]: Taking taylor expansion of y in x 2.511 * [backup-simplify]: Simplify y into y 2.511 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.511 * [taylor]: Taking taylor expansion of y in x 2.512 * [backup-simplify]: Simplify y into y 2.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.512 * [taylor]: Taking taylor expansion of x in x 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.512 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.512 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.512 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 2.513 * [backup-simplify]: Simplify (- 1) into -1 2.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.513 * [taylor]: Taking taylor expansion of -1 in y 2.513 * [backup-simplify]: Simplify -1 into -1 2.513 * [backup-simplify]: Simplify -1 into -1 2.513 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.513 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.514 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0 2.514 * [backup-simplify]: Simplify (- 0) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.514 * [taylor]: Taking taylor expansion of 0 in y 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.515 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.515 * [backup-simplify]: Simplify (* 1 1) into 1 2.516 * [backup-simplify]: Simplify (+ 0 1) into 1 2.516 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2))) 2.516 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2)) 2.516 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 2.516 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.516 * [taylor]: Taking taylor expansion of 2 in y 2.516 * [backup-simplify]: Simplify 2 into 2 2.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.516 * [taylor]: Taking taylor expansion of y in y 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (* 1 1) into 1 2.517 * [backup-simplify]: Simplify (/ 1 1) into 1 2.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.519 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.520 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.520 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.521 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.521 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.522 * [backup-simplify]: Simplify (+ 0 0) into 0 2.522 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 2.522 * [backup-simplify]: Simplify (- 0) into 0 2.523 * [backup-simplify]: Simplify (+ 0 0) into 0 2.523 * [taylor]: Taking taylor expansion of 0 in y 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify -1 into -1 2.523 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 2.523 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 2.523 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 2.523 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.523 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.523 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.523 * [taylor]: Taking taylor expansion of x in y 2.523 * [backup-simplify]: Simplify x into x 2.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.523 * [taylor]: Taking taylor expansion of y in y 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (* 1 1) into 1 2.524 * [backup-simplify]: Simplify (/ 1 1) into 1 2.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.524 * [taylor]: Taking taylor expansion of x in y 2.524 * [backup-simplify]: Simplify x into x 2.524 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.524 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.524 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.524 * [backup-simplify]: Simplify (+ 1 0) into 1 2.524 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 2.524 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.524 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.525 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.525 * [taylor]: Taking taylor expansion of y in y 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.525 * [taylor]: Taking taylor expansion of y in y 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.525 * [backup-simplify]: Simplify (* 1 1) into 1 2.525 * [backup-simplify]: Simplify (/ 1 1) into 1 2.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.525 * [taylor]: Taking taylor expansion of x in y 2.525 * [backup-simplify]: Simplify x into x 2.525 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.525 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.526 * [backup-simplify]: Simplify (* 1 1) into 1 2.526 * [backup-simplify]: Simplify (+ 1 0) into 1 2.526 * [backup-simplify]: Simplify (* 1 1) into 1 2.528 * [backup-simplify]: Simplify (/ 1 1) into 1 2.528 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 2.528 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.528 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.528 * [taylor]: Taking taylor expansion of y in x 2.528 * [backup-simplify]: Simplify y into y 2.528 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.528 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.529 * [backup-simplify]: Simplify (* 1 1) into 1 2.529 * [backup-simplify]: Simplify (/ 1 1) into 1 2.529 * [backup-simplify]: Simplify (* 1 1) into 1 2.530 * [backup-simplify]: Simplify (+ 0 1) into 1 2.530 * [backup-simplify]: Simplify (* 1 1) into 1 2.530 * [backup-simplify]: Simplify (/ 1 1) into 1 2.530 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.530 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.530 * [taylor]: Taking taylor expansion of y in x 2.530 * [backup-simplify]: Simplify y into y 2.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.530 * [taylor]: Taking taylor expansion of y in x 2.530 * [backup-simplify]: Simplify y into y 2.530 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.531 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 1 into 1 2.531 * [backup-simplify]: Simplify (* 1 1) into 1 2.531 * [backup-simplify]: Simplify (/ 1 1) into 1 2.531 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.532 * [backup-simplify]: Simplify (+ 0 1) into 1 2.532 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.532 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.532 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 2.532 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.532 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.532 * [taylor]: Taking taylor expansion of x in x 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.532 * [taylor]: Taking taylor expansion of y in x 2.532 * [backup-simplify]: Simplify y into y 2.532 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.532 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.532 * [taylor]: Taking taylor expansion of x in x 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (* 1 1) into 1 2.533 * [backup-simplify]: Simplify (/ 1 1) into 1 2.533 * [backup-simplify]: Simplify (* 1 1) into 1 2.533 * [backup-simplify]: Simplify (+ 0 1) into 1 2.534 * [backup-simplify]: Simplify (* 1 1) into 1 2.534 * [backup-simplify]: Simplify (/ 1 1) into 1 2.534 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.534 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.534 * [taylor]: Taking taylor expansion of y in x 2.534 * [backup-simplify]: Simplify y into y 2.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.534 * [taylor]: Taking taylor expansion of y in x 2.534 * [backup-simplify]: Simplify y into y 2.534 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.534 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.534 * [taylor]: Taking taylor expansion of x in x 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.535 * [backup-simplify]: Simplify (* 1 1) into 1 2.535 * [backup-simplify]: Simplify (/ 1 1) into 1 2.535 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.536 * [backup-simplify]: Simplify (+ 0 1) into 1 2.536 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.536 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.536 * [backup-simplify]: Simplify (+ 1 0) into 1 2.536 * [taylor]: Taking taylor expansion of 1 in y 2.536 * [backup-simplify]: Simplify 1 into 1 2.536 * [backup-simplify]: Simplify 1 into 1 2.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.537 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [taylor]: Taking taylor expansion of 0 in y 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.541 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 2.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 2.542 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.542 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 2.542 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.542 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.542 * [taylor]: Taking taylor expansion of 2 in y 2.542 * [backup-simplify]: Simplify 2 into 2 2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.542 * [taylor]: Taking taylor expansion of y in y 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.542 * [backup-simplify]: Simplify (* 1 1) into 1 2.542 * [backup-simplify]: Simplify (/ 1 1) into 1 2.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.545 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.545 * [backup-simplify]: Simplify (- 0) into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.547 * [backup-simplify]: Simplify (+ 0 0) into 0 2.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 2.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (+ 0 0) into 0 2.550 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.551 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 2.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.551 * [backup-simplify]: Simplify (- 0) into 0 2.551 * [backup-simplify]: Simplify (+ 0 0) into 0 2.551 * [taylor]: Taking taylor expansion of 0 in y 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 2.552 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 2.552 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 2.552 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.552 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.552 * [taylor]: Taking taylor expansion of x in y 2.552 * [backup-simplify]: Simplify x into x 2.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.552 * [taylor]: Taking taylor expansion of y in y 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (* 1 1) into 1 2.552 * [backup-simplify]: Simplify (/ 1 1) into 1 2.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.553 * [taylor]: Taking taylor expansion of x in y 2.553 * [backup-simplify]: Simplify x into x 2.553 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.553 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.553 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.553 * [backup-simplify]: Simplify (+ 1 0) into 1 2.553 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 2.553 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.553 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.553 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.553 * [taylor]: Taking taylor expansion of y in y 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 1 into 1 2.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.553 * [taylor]: Taking taylor expansion of y in y 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify (* 1 1) into 1 2.554 * [backup-simplify]: Simplify (/ 1 1) into 1 2.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.554 * [taylor]: Taking taylor expansion of x in y 2.554 * [backup-simplify]: Simplify x into x 2.554 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.554 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.554 * [backup-simplify]: Simplify (* 1 1) into 1 2.555 * [backup-simplify]: Simplify (+ 1 0) into 1 2.555 * [backup-simplify]: Simplify (* 1 1) into 1 2.556 * [backup-simplify]: Simplify (/ 1 1) into 1 2.556 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 2.556 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.556 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.556 * [taylor]: Taking taylor expansion of y in x 2.556 * [backup-simplify]: Simplify y into y 2.556 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.556 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (* 1 1) into 1 2.557 * [backup-simplify]: Simplify (/ 1 1) into 1 2.557 * [backup-simplify]: Simplify (* 1 1) into 1 2.558 * [backup-simplify]: Simplify (+ 0 1) into 1 2.558 * [backup-simplify]: Simplify (* 1 1) into 1 2.559 * [backup-simplify]: Simplify (/ 1 1) into 1 2.559 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.559 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.559 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.559 * [taylor]: Taking taylor expansion of y in x 2.559 * [backup-simplify]: Simplify y into y 2.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.559 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.559 * [taylor]: Taking taylor expansion of y in x 2.559 * [backup-simplify]: Simplify y into y 2.559 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.559 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.559 * [taylor]: Taking taylor expansion of x in x 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 1 into 1 2.560 * [backup-simplify]: Simplify (* 1 1) into 1 2.560 * [backup-simplify]: Simplify (/ 1 1) into 1 2.560 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.560 * [backup-simplify]: Simplify (+ 0 1) into 1 2.561 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.561 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.561 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 2.561 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.561 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.561 * [taylor]: Taking taylor expansion of y in x 2.561 * [backup-simplify]: Simplify y into y 2.561 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.561 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.562 * [backup-simplify]: Simplify (* 1 1) into 1 2.562 * [backup-simplify]: Simplify (/ 1 1) into 1 2.562 * [backup-simplify]: Simplify (* 1 1) into 1 2.563 * [backup-simplify]: Simplify (+ 0 1) into 1 2.563 * [backup-simplify]: Simplify (* 1 1) into 1 2.564 * [backup-simplify]: Simplify (/ 1 1) into 1 2.564 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.564 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.564 * [taylor]: Taking taylor expansion of y in x 2.564 * [backup-simplify]: Simplify y into y 2.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.564 * [taylor]: Taking taylor expansion of y in x 2.564 * [backup-simplify]: Simplify y into y 2.564 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.564 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.564 * [taylor]: Taking taylor expansion of x in x 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 1 into 1 2.565 * [backup-simplify]: Simplify (* 1 1) into 1 2.565 * [backup-simplify]: Simplify (/ 1 1) into 1 2.565 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.565 * [backup-simplify]: Simplify (+ 0 1) into 1 2.565 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.566 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.566 * [backup-simplify]: Simplify (+ 1 0) into 1 2.566 * [taylor]: Taking taylor expansion of 1 in y 2.566 * [backup-simplify]: Simplify 1 into 1 2.566 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.568 * [backup-simplify]: Simplify (+ 0 0) into 0 2.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.571 * [backup-simplify]: Simplify (+ 0 0) into 0 2.571 * [taylor]: Taking taylor expansion of 0 in y 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.573 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.575 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 2.576 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.576 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 2.576 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.576 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.576 * [taylor]: Taking taylor expansion of 2 in y 2.576 * [backup-simplify]: Simplify 2 into 2 2.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.576 * [taylor]: Taking taylor expansion of y in y 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.577 * [backup-simplify]: Simplify (* 1 1) into 1 2.577 * [backup-simplify]: Simplify (/ 1 1) into 1 2.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.581 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.582 * [backup-simplify]: Simplify (- 0) into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.584 * [backup-simplify]: Simplify (+ 0 0) into 0 2.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 2.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 2.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.590 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.590 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 2.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.591 * [backup-simplify]: Simplify (- 0) into 0 2.591 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [taylor]: Taking taylor expansion of 0 in y 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.592 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.592 * [backup-simplify]: Simplify (+ (* y y) (* x x)) into (+ (pow y 2) (pow x 2)) 2.592 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (y x) around 0 2.592 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.592 * [taylor]: Taking taylor expansion of y in x 2.592 * [backup-simplify]: Simplify y into y 2.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.592 * [taylor]: Taking taylor expansion of x in x 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.592 * [taylor]: Taking taylor expansion of y in y 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.592 * [taylor]: Taking taylor expansion of x in y 2.592 * [backup-simplify]: Simplify x into x 2.592 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.592 * [taylor]: Taking taylor expansion of y in y 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.592 * [taylor]: Taking taylor expansion of x in y 2.592 * [backup-simplify]: Simplify x into x 2.592 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.593 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.593 * [backup-simplify]: Simplify (+ 0 0) into 0 2.593 * [taylor]: Taking taylor expansion of 0 in x 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify (* 1 1) into 1 2.594 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.595 * [backup-simplify]: Simplify (+ 1 0) into 1 2.595 * [taylor]: Taking taylor expansion of 1 in x 2.595 * [backup-simplify]: Simplify 1 into 1 2.595 * [backup-simplify]: Simplify 1 into 1 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify (* 1 1) into 1 2.595 * [backup-simplify]: Simplify 1 into 1 2.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.597 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.597 * [backup-simplify]: Simplify (+ 0 0) into 0 2.597 * [taylor]: Taking taylor expansion of 0 in x 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.600 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 2.601 * [backup-simplify]: Simplify (+ 0 0) into 0 2.601 * [taylor]: Taking taylor expansion of 0 in x 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (pow x 2)) 2.602 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.602 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 2.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.602 * [taylor]: Taking taylor expansion of y in x 2.602 * [backup-simplify]: Simplify y into y 2.602 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.602 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.602 * [taylor]: Taking taylor expansion of x in x 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (* 1 1) into 1 2.603 * [backup-simplify]: Simplify (/ 1 1) into 1 2.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.603 * [taylor]: Taking taylor expansion of y in y 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.604 * [backup-simplify]: Simplify (* 1 1) into 1 2.604 * [backup-simplify]: Simplify (/ 1 1) into 1 2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.604 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.604 * [taylor]: Taking taylor expansion of x in y 2.604 * [backup-simplify]: Simplify x into x 2.604 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.604 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.604 * [taylor]: Taking taylor expansion of y in y 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (* 1 1) into 1 2.605 * [backup-simplify]: Simplify (/ 1 1) into 1 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.605 * [taylor]: Taking taylor expansion of x in y 2.605 * [backup-simplify]: Simplify x into x 2.605 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.605 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.606 * [backup-simplify]: Simplify (+ 1 0) into 1 2.606 * [taylor]: Taking taylor expansion of 1 in x 2.606 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.608 * [backup-simplify]: Simplify (+ 0 0) into 0 2.608 * [taylor]: Taking taylor expansion of 0 in x 2.608 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.610 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (* 1 1) into 1 2.611 * [backup-simplify]: Simplify (/ 1 1) into 1 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify 1 into 1 2.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.614 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.614 * [backup-simplify]: Simplify (+ 0 0) into 0 2.614 * [taylor]: Taking taylor expansion of 0 in x 2.614 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.619 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.620 * [taylor]: Taking taylor expansion of 0 in x 2.620 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.622 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.622 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 2.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.623 * [taylor]: Taking taylor expansion of y in x 2.623 * [backup-simplify]: Simplify y into y 2.623 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.623 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (* 1 1) into 1 2.624 * [backup-simplify]: Simplify (/ 1 1) into 1 2.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.624 * [taylor]: Taking taylor expansion of y in y 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (* 1 1) into 1 2.625 * [backup-simplify]: Simplify (/ 1 1) into 1 2.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.625 * [taylor]: Taking taylor expansion of x in y 2.625 * [backup-simplify]: Simplify x into x 2.625 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.625 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.625 * [taylor]: Taking taylor expansion of y in y 2.625 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify 1 into 1 2.626 * [backup-simplify]: Simplify (* 1 1) into 1 2.626 * [backup-simplify]: Simplify (/ 1 1) into 1 2.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.626 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.626 * [taylor]: Taking taylor expansion of x in y 2.626 * [backup-simplify]: Simplify x into x 2.626 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.626 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.627 * [backup-simplify]: Simplify (+ 1 0) into 1 2.627 * [taylor]: Taking taylor expansion of 1 in x 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.629 * [backup-simplify]: Simplify (+ 0 0) into 0 2.629 * [taylor]: Taking taylor expansion of 0 in x 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.631 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.631 * [taylor]: Taking taylor expansion of x in x 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify 1 into 1 2.631 * [backup-simplify]: Simplify (* 1 1) into 1 2.632 * [backup-simplify]: Simplify (/ 1 1) into 1 2.632 * [backup-simplify]: Simplify 1 into 1 2.632 * [backup-simplify]: Simplify 1 into 1 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.634 * [backup-simplify]: Simplify (+ 0 0) into 0 2.634 * [taylor]: Taking taylor expansion of 0 in x 2.634 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.639 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.639 * [backup-simplify]: Simplify (+ 0 0) into 0 2.639 * [taylor]: Taking taylor expansion of 0 in x 2.639 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.642 * * * [progress]: simplifying candidates 2.642 * * * * [progress]: [ 1 / 95 ] simplifiying candidate # 2.642 * * * * [progress]: [ 2 / 95 ] simplifiying candidate # 2.642 * * * * [progress]: [ 3 / 95 ] simplifiying candidate # 2.642 * * * * [progress]: [ 4 / 95 ] simplifiying candidate # 2.642 * * * * [progress]: [ 5 / 95 ] simplifiying candidate # 2.642 * * * * [progress]: [ 6 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 7 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 8 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 9 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 10 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 11 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 12 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 13 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 14 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 15 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 16 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 17 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 18 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 19 / 95 ] simplifiying candidate # 2.643 * * * * [progress]: [ 20 / 95 ] simplifiying candidate # 2.644 * * * * [progress]: [ 21 / 95 ] simplifiying candidate # 2.644 * * * * [progress]: [ 22 / 95 ] simplifiying candidate # 2.644 * * * * [progress]: [ 23 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 24 / 95 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* y y) (* x x)))))))> 2.645 * * * * [progress]: [ 25 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 26 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 27 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 28 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 29 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 30 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 31 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 32 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 33 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 34 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 35 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 36 / 95 ] simplifiying candidate # 2.645 * * * * [progress]: [ 37 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 38 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 39 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 40 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 41 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 42 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 43 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 44 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 45 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 46 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 47 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 48 / 95 ] simplifiying candidate #real (real->posit16 (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* y y) (* x x)))))> 2.646 * * * * [progress]: [ 49 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 50 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 51 / 95 ] simplifiying candidate # 2.646 * * * * [progress]: [ 52 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 53 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 54 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 55 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 56 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 57 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 58 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 59 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 60 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 61 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 62 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 63 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 64 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 65 / 95 ] simplifiying candidate # 2.647 * * * * [progress]: [ 66 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 67 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 68 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 69 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 70 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #real (real->posit16 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))))> 2.648 * * * * [progress]: [ 72 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 73 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 74 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 75 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 76 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 77 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 78 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 79 / 95 ] simplifiying candidate # 2.648 * * * * [progress]: [ 80 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 81 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 82 / 95 ] simplifiying candidate #real (real->posit16 (+ (* y y) (* x x)))))))> 2.649 * * * * [progress]: [ 83 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 84 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 85 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 86 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 87 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 88 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 89 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 90 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 91 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 92 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 93 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 94 / 95 ] simplifiying candidate # 2.649 * * * * [progress]: [ 95 / 95 ] simplifiying candidate # 2.651 * [simplify]: Simplifying (- (+ (log y) (log y)) (log (+ (* y y) (* x x)))), (- (log (* y y)) (log (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (exp (/ (* y y) (+ (* y y) (* x x)))), (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))), (cbrt (/ (* y y) (+ (* y y) (* x x)))), (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (- (* y y)), (- (+ (* y y) (* x x))), (/ y (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ y (cbrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y 1), (/ y (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* y y)), (/ (* y y) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ (* y y) (sqrt (+ (* y y) (* x x)))), (/ (* y y) 1), (/ (+ (* y y) (* x x)) y), (/ (* y y) (+ (pow (* y y) 3) (pow (* x x) 3))), (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (real->posit16 (/ (* y y) (+ (* y y) (* x x)))), (- (+ (log x) (log x)) (log (+ (* y y) (* x x)))), (- (log (* x x)) (log (+ (* y y) (* x x)))), (log (/ (* x x) (+ (* y y) (* x x)))), (exp (/ (* x x) (+ (* y y) (* x x)))), (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x))))), (cbrt (/ (* x x) (+ (* y y) (* x x)))), (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))), (sqrt (/ (* x x) (+ (* y y) (* x x)))), (sqrt (/ (* x x) (+ (* y y) (* x x)))), (- (* x x)), (- (+ (* y y) (* x x))), (/ x (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ x (cbrt (+ (* y y) (* x x)))), (/ x (sqrt (+ (* y y) (* x x)))), (/ x (sqrt (+ (* y y) (* x x)))), (/ x 1), (/ x (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* x x)), (/ (* x x) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ (* x x) (sqrt (+ (* y y) (* x x)))), (/ (* x x) 1), (/ (+ (* y y) (* x x)) x), (/ (* x x) (+ (pow (* y y) 3) (pow (* x x) 3))), (/ (* x x) (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (real->posit16 (/ (* x x) (+ (* y y) (* x x)))), (/ (exp (/ (* x x) (+ (* y y) (* x x)))) (exp (/ (* y y) (+ (* y y) (* x x))))), (log (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))), (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (* (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (- (* x x) (* y y)), (- (* (* x x) (+ (* y y) (* x x))) (* (+ (* y y) (* x x)) (* y y))), (* (+ (* y y) (* x x)) (+ (* y y) (* x x))), (- (pow (/ (* x x) (+ (* y y) (* x x))) 3) (pow (/ (* y y) (+ (* y y) (* x x))) 3)), (+ (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (+ (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))), (- (/ (* y y) (+ (* y y) (* x x)))), (- (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))), (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))), (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))), (+ (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (- (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (+ (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))), (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))), (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))), (- (* x x) (* y y)), (- (/ (* x x) (+ (pow (* y y) 3) (pow (* x x) 3))) (/ (* y y) (+ (pow (* y y) 3) (pow (* x x) 3)))), (- (/ (* x x) (- (* (* y y) (* y y)) (* (* x x) (* x x)))) (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x))))), (- (/ (* y y) (+ (* y y) (* x x)))), (real->posit16 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (exp (* y y)) (exp (* x x))), (log (+ (* y y) (* x x))), (exp (+ (* y y) (* x x))), (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))), (cbrt (+ (* y y) (* x x))), (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))), (sqrt (+ (* y y) (* x x))), (sqrt (+ (* y y) (* x x))), (+ (pow (* y y) 3) (pow (* x x) 3)), (+ (* (* y y) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* x x)))), (- (* (* y y) (* y y)) (* (* x x) (* x x))), (- (* y y) (* x x)), (real->posit16 (+ (* y y) (* x x))), 0, 0, 0, 0, 0, 0, -1, 1, 1, (+ (pow y 2) (pow x 2)), (+ (pow y 2) (pow x 2)), (+ (pow y 2) (pow x 2)) 2.654 * * [simplify]: iteration 1: (133 enodes) 2.735 * * [simplify]: iteration 2: (600 enodes) 2.986 * * [simplify]: iteration 3: (1629 enodes) 4.145 * * [simplify]: Extracting #0: cost 83 inf + 0 4.147 * * [simplify]: Extracting #1: cost 509 inf + 46 4.159 * * [simplify]: Extracting #2: cost 1032 inf + 14310 4.227 * * [simplify]: Extracting #3: cost 553 inf + 144166 4.302 * * [simplify]: Extracting #4: cost 65 inf + 275620 4.387 * * [simplify]: Extracting #5: cost 1 inf + 298606 4.480 * * [simplify]: Extracting #6: cost 0 inf + 298888 4.556 * [simplify]: Simplified to (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (exp (/ (* y y) (+ (* y y) (* x x)))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))), (cbrt (/ (* y y) (+ (* y y) (* x x)))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (- (* y y)), (- (- (* y y)) (* x x)), (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))), (/ y (cbrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), y, (/ y (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* y y)), (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))), (/ (* y y) (sqrt (+ (* y y) (* x x)))), (* y y), (/ (+ (* y y) (* x x)) y), (/ (* y y) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))), (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (real->posit16 (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* x x) (+ (* y y) (* x x)))), (log (/ (* x x) (+ (* y y) (* x x)))), (log (/ (* x x) (+ (* y y) (* x x)))), (exp (/ (* x x) (+ (* y y) (* x x)))), (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))), (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))), (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x))))), (cbrt (/ (* x x) (+ (* y y) (* x x)))), (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))), (sqrt (/ (* x x) (+ (* y y) (* x x)))), (sqrt (/ (* x x) (+ (* y y) (* x x)))), (- (* x x)), (- (- (* y y)) (* x x)), (/ (/ x (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))), (/ x (cbrt (+ (* y y) (* x x)))), (/ x (sqrt (+ (* y y) (* x x)))), (/ x (sqrt (+ (* y y) (* x x)))), x, (/ x (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* x x)), (/ (/ (* x x) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))), (/ (* x x) (sqrt (+ (* y y) (* x x)))), (* x x), (/ (+ (* y y) (* x x)) x), (/ (* x x) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))), (/ (* x x) (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (real->posit16 (/ (* x x) (+ (* y y) (* x x)))), (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (log (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))), (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (* (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (- (* x x) (* y y)), (* (+ (* y y) (* x x)) (- (* x x) (* y y))), (* (+ (* y y) (* x x)) (+ (* y y) (* x x))), (- (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))), (+ (* (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))), (/ (- (* y y)) (+ (* y y) (* x x))), (* (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))), (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (+ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x))))), (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))), (+ (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (- (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (+ (/ y (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x))))), (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))), (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))), (- (* x x) (* y y)), (- (/ (* x x) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))) (/ (* y y) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x))))), (- (/ (* x x) (- (* (* y y) (* y y)) (* (* x x) (* x x)))) (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x))))), (/ (- (* y y)) (+ (* y y) (* x x))), (real->posit16 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (exp (+ (* y y) (* x x))), (log (+ (* y y) (* x x))), (exp (+ (* y y) (* x x))), (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))), (cbrt (+ (* y y) (* x x))), (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))), (sqrt (+ (* y y) (* x x))), (sqrt (+ (* y y) (* x x))), (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x))), (- (* (* x x) (* x x)) (* (* y y) (- (* x x) (* y y)))), (- (* (* y y) (* y y)) (* (* x x) (* x x))), (* (- y x) (+ y x)), (real->posit16 (+ (* y y) (* x x))), 0, 0, 0, 0, 0, 0, -1, 1, 1, (+ (* y y) (* x x)), (+ (* y y) (* x x)), (+ (* y y) (* x x)) 4.566 * * * [progress]: adding candidates to table 5.404 * * [progress]: iteration 2 / 4 5.404 * * * [progress]: picking best candidate 5.414 * * * * [pick]: Picked # 5.414 * * * [progress]: localizing error 5.444 * * * [progress]: generating rewritten candidates 5.444 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 5.450 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 5.458 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 5.469 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 5.480 * * * [progress]: generating series expansions 5.480 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 5.480 * [backup-simplify]: Simplify (sqrt (+ (* y y) (* x x))) into (sqrt (+ (pow y 2) (pow x 2))) 5.480 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (y x) around 0 5.480 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 5.480 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.480 * [taylor]: Taking taylor expansion of y in x 5.480 * [backup-simplify]: Simplify y into y 5.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.480 * [taylor]: Taking taylor expansion of x in x 5.480 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify 1 into 1 5.481 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.481 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.481 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.481 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.482 * [backup-simplify]: Simplify (+ 0 0) into 0 5.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 5.482 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.482 * [taylor]: Taking taylor expansion of y in y 5.482 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.482 * [taylor]: Taking taylor expansion of x in y 5.482 * [backup-simplify]: Simplify x into x 5.482 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.482 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.482 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.482 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.483 * [backup-simplify]: Simplify (+ 0 0) into 0 5.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 5.483 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.483 * [taylor]: Taking taylor expansion of y in y 5.483 * [backup-simplify]: Simplify 0 into 0 5.483 * [backup-simplify]: Simplify 1 into 1 5.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.483 * [taylor]: Taking taylor expansion of x in y 5.483 * [backup-simplify]: Simplify x into x 5.483 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.483 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.483 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.483 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.484 * [backup-simplify]: Simplify (+ 0 0) into 0 5.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.484 * [taylor]: Taking taylor expansion of x in x 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 1 into 1 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in x 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 1 into 1 5.485 * [backup-simplify]: Simplify (* 1 1) into 1 5.486 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.486 * [backup-simplify]: Simplify (+ 1 0) into 1 5.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 5.487 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.487 * [taylor]: Taking taylor expansion of 1/2 in x 5.487 * [backup-simplify]: Simplify 1/2 into 1/2 5.487 * [taylor]: Taking taylor expansion of x in x 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 1 into 1 5.487 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.490 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.490 * [backup-simplify]: Simplify (+ 0 0) into 0 5.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 5.490 * [taylor]: Taking taylor expansion of 0 in x 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.491 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 5.492 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 5.492 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 5.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.492 * [taylor]: Taking taylor expansion of y in x 5.492 * [backup-simplify]: Simplify y into y 5.492 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.492 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.492 * [taylor]: Taking taylor expansion of x in x 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.493 * [backup-simplify]: Simplify (* 1 1) into 1 5.493 * [backup-simplify]: Simplify (/ 1 1) into 1 5.493 * [backup-simplify]: Simplify (+ 0 1) into 1 5.494 * [backup-simplify]: Simplify (sqrt 1) into 1 5.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.496 * [backup-simplify]: Simplify (+ 0 0) into 0 5.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.496 * [taylor]: Taking taylor expansion of y in y 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify 1 into 1 5.497 * [backup-simplify]: Simplify (* 1 1) into 1 5.497 * [backup-simplify]: Simplify (/ 1 1) into 1 5.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.497 * [taylor]: Taking taylor expansion of x in y 5.497 * [backup-simplify]: Simplify x into x 5.497 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.497 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.498 * [backup-simplify]: Simplify (+ 1 0) into 1 5.498 * [backup-simplify]: Simplify (sqrt 1) into 1 5.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.500 * [backup-simplify]: Simplify (+ 0 0) into 0 5.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.501 * [taylor]: Taking taylor expansion of y in y 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify 1 into 1 5.502 * [backup-simplify]: Simplify (* 1 1) into 1 5.502 * [backup-simplify]: Simplify (/ 1 1) into 1 5.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.502 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.502 * [taylor]: Taking taylor expansion of x in y 5.502 * [backup-simplify]: Simplify x into x 5.502 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.502 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.502 * [backup-simplify]: Simplify (+ 1 0) into 1 5.503 * [backup-simplify]: Simplify (sqrt 1) into 1 5.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.510 * [backup-simplify]: Simplify (+ 0 0) into 0 5.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.510 * [taylor]: Taking taylor expansion of 1 in x 5.510 * [backup-simplify]: Simplify 1 into 1 5.510 * [taylor]: Taking taylor expansion of 0 in x 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 1 into 1 5.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.512 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.513 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.513 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.513 * [taylor]: Taking taylor expansion of 1/2 in x 5.513 * [backup-simplify]: Simplify 1/2 into 1/2 5.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.513 * [taylor]: Taking taylor expansion of x in x 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.513 * [backup-simplify]: Simplify (* 1 1) into 1 5.514 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.516 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.516 * [backup-simplify]: Simplify (+ 0 0) into 0 5.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.517 * [taylor]: Taking taylor expansion of 0 in x 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 5.518 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 5.518 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 5.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.518 * [taylor]: Taking taylor expansion of y in x 5.518 * [backup-simplify]: Simplify y into y 5.518 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.518 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.518 * [taylor]: Taking taylor expansion of x in x 5.518 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [backup-simplify]: Simplify (* 1 1) into 1 5.519 * [backup-simplify]: Simplify (/ 1 1) into 1 5.519 * [backup-simplify]: Simplify (+ 0 1) into 1 5.520 * [backup-simplify]: Simplify (sqrt 1) into 1 5.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.521 * [backup-simplify]: Simplify (+ 0 0) into 0 5.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.521 * [taylor]: Taking taylor expansion of y in y 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (* 1 1) into 1 5.522 * [backup-simplify]: Simplify (/ 1 1) into 1 5.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.522 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.522 * [taylor]: Taking taylor expansion of x in y 5.522 * [backup-simplify]: Simplify x into x 5.522 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.522 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.523 * [backup-simplify]: Simplify (+ 1 0) into 1 5.523 * [backup-simplify]: Simplify (sqrt 1) into 1 5.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.525 * [backup-simplify]: Simplify (+ 0 0) into 0 5.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.526 * [taylor]: Taking taylor expansion of y in y 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (* 1 1) into 1 5.527 * [backup-simplify]: Simplify (/ 1 1) into 1 5.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.527 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.527 * [taylor]: Taking taylor expansion of x in y 5.527 * [backup-simplify]: Simplify x into x 5.527 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.527 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.528 * [backup-simplify]: Simplify (+ 1 0) into 1 5.528 * [backup-simplify]: Simplify (sqrt 1) into 1 5.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.530 * [backup-simplify]: Simplify (+ 0 0) into 0 5.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.531 * [taylor]: Taking taylor expansion of 1 in x 5.531 * [backup-simplify]: Simplify 1 into 1 5.531 * [taylor]: Taking taylor expansion of 0 in x 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.534 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.535 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.535 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.535 * [taylor]: Taking taylor expansion of 1/2 in x 5.535 * [backup-simplify]: Simplify 1/2 into 1/2 5.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.535 * [taylor]: Taking taylor expansion of x in x 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 1 into 1 5.536 * [backup-simplify]: Simplify (* 1 1) into 1 5.536 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.540 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.541 * [backup-simplify]: Simplify (+ 0 0) into 0 5.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.541 * [taylor]: Taking taylor expansion of 0 in x 5.541 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 5.544 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 5.544 * [backup-simplify]: Simplify (sqrt (+ (* y y) (* x x))) into (sqrt (+ (pow y 2) (pow x 2))) 5.544 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (y x) around 0 5.544 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 5.544 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.544 * [taylor]: Taking taylor expansion of y in x 5.544 * [backup-simplify]: Simplify y into y 5.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.544 * [taylor]: Taking taylor expansion of x in x 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 1 into 1 5.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.545 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.545 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.545 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.545 * [backup-simplify]: Simplify (+ 0 0) into 0 5.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.545 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 5.545 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.545 * [taylor]: Taking taylor expansion of y in y 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.546 * [taylor]: Taking taylor expansion of x in y 5.546 * [backup-simplify]: Simplify x into x 5.546 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.546 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.546 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.546 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.546 * [backup-simplify]: Simplify (+ 0 0) into 0 5.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.546 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 5.546 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.546 * [taylor]: Taking taylor expansion of y in y 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 1 into 1 5.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.547 * [taylor]: Taking taylor expansion of x in y 5.547 * [backup-simplify]: Simplify x into x 5.547 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.547 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.547 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.547 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.547 * [backup-simplify]: Simplify (+ 0 0) into 0 5.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.548 * [taylor]: Taking taylor expansion of x in x 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [taylor]: Taking taylor expansion of 0 in x 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.548 * [backup-simplify]: Simplify (* 1 1) into 1 5.549 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.549 * [backup-simplify]: Simplify (+ 1 0) into 1 5.550 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 5.550 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.550 * [taylor]: Taking taylor expansion of 1/2 in x 5.550 * [backup-simplify]: Simplify 1/2 into 1/2 5.550 * [taylor]: Taking taylor expansion of x in x 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.551 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.552 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.553 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.554 * [backup-simplify]: Simplify (+ 0 0) into 0 5.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 5.554 * [taylor]: Taking taylor expansion of 0 in x 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 5.556 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 5.556 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 5.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.556 * [taylor]: Taking taylor expansion of y in x 5.556 * [backup-simplify]: Simplify y into y 5.556 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.556 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.556 * [taylor]: Taking taylor expansion of x in x 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.557 * [backup-simplify]: Simplify (* 1 1) into 1 5.557 * [backup-simplify]: Simplify (/ 1 1) into 1 5.557 * [backup-simplify]: Simplify (+ 0 1) into 1 5.558 * [backup-simplify]: Simplify (sqrt 1) into 1 5.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (+ 0 0) into 0 5.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.560 * [taylor]: Taking taylor expansion of y in y 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.561 * [backup-simplify]: Simplify (* 1 1) into 1 5.561 * [backup-simplify]: Simplify (/ 1 1) into 1 5.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.561 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.561 * [taylor]: Taking taylor expansion of x in y 5.561 * [backup-simplify]: Simplify x into x 5.561 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.562 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.562 * [backup-simplify]: Simplify (+ 1 0) into 1 5.563 * [backup-simplify]: Simplify (sqrt 1) into 1 5.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.564 * [backup-simplify]: Simplify (+ 0 0) into 0 5.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.565 * [taylor]: Taking taylor expansion of y in y 5.565 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify 1 into 1 5.565 * [backup-simplify]: Simplify (* 1 1) into 1 5.566 * [backup-simplify]: Simplify (/ 1 1) into 1 5.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.566 * [taylor]: Taking taylor expansion of x in y 5.566 * [backup-simplify]: Simplify x into x 5.566 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.566 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.567 * [backup-simplify]: Simplify (+ 1 0) into 1 5.567 * [backup-simplify]: Simplify (sqrt 1) into 1 5.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.569 * [backup-simplify]: Simplify (+ 0 0) into 0 5.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.569 * [taylor]: Taking taylor expansion of 1 in x 5.569 * [backup-simplify]: Simplify 1 into 1 5.570 * [taylor]: Taking taylor expansion of 0 in x 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 1 into 1 5.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.571 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.573 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.573 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.573 * [taylor]: Taking taylor expansion of 1/2 in x 5.573 * [backup-simplify]: Simplify 1/2 into 1/2 5.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.573 * [taylor]: Taking taylor expansion of x in x 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 1 into 1 5.573 * [backup-simplify]: Simplify (* 1 1) into 1 5.574 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.577 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.578 * [backup-simplify]: Simplify (+ 0 0) into 0 5.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.579 * [taylor]: Taking taylor expansion of 0 in x 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 5.581 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 5.581 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 5.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.581 * [taylor]: Taking taylor expansion of y in x 5.581 * [backup-simplify]: Simplify y into y 5.581 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.581 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.581 * [taylor]: Taking taylor expansion of x in x 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify 1 into 1 5.582 * [backup-simplify]: Simplify (* 1 1) into 1 5.582 * [backup-simplify]: Simplify (/ 1 1) into 1 5.582 * [backup-simplify]: Simplify (+ 0 1) into 1 5.583 * [backup-simplify]: Simplify (sqrt 1) into 1 5.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.584 * [backup-simplify]: Simplify (+ 0 0) into 0 5.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.585 * [taylor]: Taking taylor expansion of y in y 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (* 1 1) into 1 5.586 * [backup-simplify]: Simplify (/ 1 1) into 1 5.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.586 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.586 * [taylor]: Taking taylor expansion of x in y 5.586 * [backup-simplify]: Simplify x into x 5.586 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.586 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.587 * [backup-simplify]: Simplify (+ 1 0) into 1 5.587 * [backup-simplify]: Simplify (sqrt 1) into 1 5.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.589 * [backup-simplify]: Simplify (+ 0 0) into 0 5.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.590 * [taylor]: Taking taylor expansion of y in y 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [backup-simplify]: Simplify (* 1 1) into 1 5.590 * [backup-simplify]: Simplify (/ 1 1) into 1 5.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.590 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.590 * [taylor]: Taking taylor expansion of x in y 5.590 * [backup-simplify]: Simplify x into x 5.591 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.591 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.591 * [backup-simplify]: Simplify (+ 1 0) into 1 5.591 * [backup-simplify]: Simplify (sqrt 1) into 1 5.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify (+ 0 0) into 0 5.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.594 * [taylor]: Taking taylor expansion of 1 in x 5.594 * [backup-simplify]: Simplify 1 into 1 5.594 * [taylor]: Taking taylor expansion of 0 in x 5.594 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify 1 into 1 5.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.596 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.597 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.597 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.597 * [taylor]: Taking taylor expansion of 1/2 in x 5.597 * [backup-simplify]: Simplify 1/2 into 1/2 5.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.597 * [taylor]: Taking taylor expansion of x in x 5.597 * [backup-simplify]: Simplify 0 into 0 5.597 * [backup-simplify]: Simplify 1 into 1 5.598 * [backup-simplify]: Simplify (* 1 1) into 1 5.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.602 * [backup-simplify]: Simplify (+ 0 0) into 0 5.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.603 * [taylor]: Taking taylor expansion of 0 in x 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 5.605 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 5.605 * [backup-simplify]: Simplify (sqrt (+ (* y y) (* x x))) into (sqrt (+ (pow y 2) (pow x 2))) 5.605 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (y x) around 0 5.605 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 5.605 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.605 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.605 * [taylor]: Taking taylor expansion of y in x 5.605 * [backup-simplify]: Simplify y into y 5.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.605 * [taylor]: Taking taylor expansion of x in x 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 1 into 1 5.605 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.605 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.605 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.605 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.606 * [backup-simplify]: Simplify (+ 0 0) into 0 5.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.606 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 5.606 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.606 * [taylor]: Taking taylor expansion of y in y 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.606 * [taylor]: Taking taylor expansion of x in y 5.606 * [backup-simplify]: Simplify x into x 5.606 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.606 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.606 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.606 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.607 * [backup-simplify]: Simplify (+ 0 0) into 0 5.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 5.607 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.607 * [taylor]: Taking taylor expansion of y in y 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.607 * [taylor]: Taking taylor expansion of x in y 5.607 * [backup-simplify]: Simplify x into x 5.607 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.607 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.607 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.607 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.608 * [backup-simplify]: Simplify (+ 0 0) into 0 5.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.608 * [taylor]: Taking taylor expansion of x in x 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [taylor]: Taking taylor expansion of 0 in x 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (* 1 1) into 1 5.609 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.609 * [backup-simplify]: Simplify (+ 1 0) into 1 5.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 5.610 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.610 * [taylor]: Taking taylor expansion of 1/2 in x 5.610 * [backup-simplify]: Simplify 1/2 into 1/2 5.610 * [taylor]: Taking taylor expansion of x in x 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.613 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.613 * [backup-simplify]: Simplify (+ 0 0) into 0 5.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 5.614 * [taylor]: Taking taylor expansion of 0 in x 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 5.615 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 5.615 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 5.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.615 * [taylor]: Taking taylor expansion of y in x 5.615 * [backup-simplify]: Simplify y into y 5.615 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.615 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.615 * [taylor]: Taking taylor expansion of x in x 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.616 * [backup-simplify]: Simplify (* 1 1) into 1 5.616 * [backup-simplify]: Simplify (/ 1 1) into 1 5.617 * [backup-simplify]: Simplify (+ 0 1) into 1 5.617 * [backup-simplify]: Simplify (sqrt 1) into 1 5.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.619 * [backup-simplify]: Simplify (+ 0 0) into 0 5.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.619 * [taylor]: Taking taylor expansion of y in y 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 1 into 1 5.620 * [backup-simplify]: Simplify (* 1 1) into 1 5.620 * [backup-simplify]: Simplify (/ 1 1) into 1 5.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.620 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.620 * [taylor]: Taking taylor expansion of x in y 5.620 * [backup-simplify]: Simplify x into x 5.620 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.620 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.621 * [backup-simplify]: Simplify (+ 1 0) into 1 5.621 * [backup-simplify]: Simplify (sqrt 1) into 1 5.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.623 * [backup-simplify]: Simplify (+ 0 0) into 0 5.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.624 * [taylor]: Taking taylor expansion of y in y 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (* 1 1) into 1 5.625 * [backup-simplify]: Simplify (/ 1 1) into 1 5.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.625 * [taylor]: Taking taylor expansion of x in y 5.625 * [backup-simplify]: Simplify x into x 5.625 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.625 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.625 * [backup-simplify]: Simplify (+ 1 0) into 1 5.626 * [backup-simplify]: Simplify (sqrt 1) into 1 5.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (+ 0 0) into 0 5.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.628 * [taylor]: Taking taylor expansion of 1 in x 5.628 * [backup-simplify]: Simplify 1 into 1 5.628 * [taylor]: Taking taylor expansion of 0 in x 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 1 into 1 5.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.630 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.632 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.632 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.632 * [taylor]: Taking taylor expansion of 1/2 in x 5.632 * [backup-simplify]: Simplify 1/2 into 1/2 5.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.632 * [taylor]: Taking taylor expansion of x in x 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.632 * [backup-simplify]: Simplify (* 1 1) into 1 5.633 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.637 * [backup-simplify]: Simplify (+ 0 0) into 0 5.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.637 * [taylor]: Taking taylor expansion of 0 in x 5.637 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 5.640 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 5.640 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 5.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.640 * [taylor]: Taking taylor expansion of y in x 5.640 * [backup-simplify]: Simplify y into y 5.640 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.640 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.640 * [taylor]: Taking taylor expansion of x in x 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (* 1 1) into 1 5.641 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [backup-simplify]: Simplify (+ 0 1) into 1 5.642 * [backup-simplify]: Simplify (sqrt 1) into 1 5.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (+ 0 0) into 0 5.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.644 * [taylor]: Taking taylor expansion of y in y 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify 1 into 1 5.647 * [backup-simplify]: Simplify (* 1 1) into 1 5.648 * [backup-simplify]: Simplify (/ 1 1) into 1 5.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.648 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.648 * [taylor]: Taking taylor expansion of x in y 5.648 * [backup-simplify]: Simplify x into x 5.648 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.648 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.649 * [backup-simplify]: Simplify (+ 1 0) into 1 5.649 * [backup-simplify]: Simplify (sqrt 1) into 1 5.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.651 * [backup-simplify]: Simplify (+ 0 0) into 0 5.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.651 * [taylor]: Taking taylor expansion of y in y 5.651 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (* 1 1) into 1 5.652 * [backup-simplify]: Simplify (/ 1 1) into 1 5.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.652 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.652 * [taylor]: Taking taylor expansion of x in y 5.652 * [backup-simplify]: Simplify x into x 5.653 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.653 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.653 * [backup-simplify]: Simplify (+ 1 0) into 1 5.653 * [backup-simplify]: Simplify (sqrt 1) into 1 5.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.655 * [backup-simplify]: Simplify (+ 0 0) into 0 5.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.656 * [taylor]: Taking taylor expansion of 1 in x 5.656 * [backup-simplify]: Simplify 1 into 1 5.656 * [taylor]: Taking taylor expansion of 0 in x 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 1 into 1 5.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.658 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.659 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.659 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.659 * [taylor]: Taking taylor expansion of 1/2 in x 5.659 * [backup-simplify]: Simplify 1/2 into 1/2 5.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.659 * [taylor]: Taking taylor expansion of x in x 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (* 1 1) into 1 5.660 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.663 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.664 * [backup-simplify]: Simplify (+ 0 0) into 0 5.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.665 * [taylor]: Taking taylor expansion of 0 in x 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.666 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 5.667 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 5.667 * [backup-simplify]: Simplify (sqrt (+ (* y y) (* x x))) into (sqrt (+ (pow y 2) (pow x 2))) 5.667 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (y x) around 0 5.667 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 5.667 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.667 * [taylor]: Taking taylor expansion of y in x 5.667 * [backup-simplify]: Simplify y into y 5.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.667 * [taylor]: Taking taylor expansion of x in x 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 1 into 1 5.667 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.667 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.667 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.668 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.668 * [backup-simplify]: Simplify (+ 0 0) into 0 5.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.668 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 5.668 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.668 * [taylor]: Taking taylor expansion of y in y 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.668 * [taylor]: Taking taylor expansion of x in y 5.668 * [backup-simplify]: Simplify x into x 5.668 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.668 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.668 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.669 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.669 * [backup-simplify]: Simplify (+ 0 0) into 0 5.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.669 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 5.669 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.669 * [taylor]: Taking taylor expansion of y in y 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify 1 into 1 5.669 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.669 * [taylor]: Taking taylor expansion of x in y 5.669 * [backup-simplify]: Simplify x into x 5.669 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.669 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.669 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.670 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.670 * [backup-simplify]: Simplify (+ 0 0) into 0 5.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.670 * [taylor]: Taking taylor expansion of x in x 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [taylor]: Taking taylor expansion of 0 in x 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (* 1 1) into 1 5.671 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.672 * [backup-simplify]: Simplify (+ 1 0) into 1 5.673 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 5.673 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.673 * [taylor]: Taking taylor expansion of 1/2 in x 5.673 * [backup-simplify]: Simplify 1/2 into 1/2 5.673 * [taylor]: Taking taylor expansion of x in x 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 1 into 1 5.673 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.676 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.676 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 5.676 * [taylor]: Taking taylor expansion of 0 in x 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 5.678 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 5.678 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 5.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.678 * [taylor]: Taking taylor expansion of y in x 5.678 * [backup-simplify]: Simplify y into y 5.678 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.678 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.678 * [taylor]: Taking taylor expansion of x in x 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 1 into 1 5.679 * [backup-simplify]: Simplify (* 1 1) into 1 5.679 * [backup-simplify]: Simplify (/ 1 1) into 1 5.680 * [backup-simplify]: Simplify (+ 0 1) into 1 5.680 * [backup-simplify]: Simplify (sqrt 1) into 1 5.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.682 * [backup-simplify]: Simplify (+ 0 0) into 0 5.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.682 * [taylor]: Taking taylor expansion of y in y 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 1 into 1 5.683 * [backup-simplify]: Simplify (* 1 1) into 1 5.683 * [backup-simplify]: Simplify (/ 1 1) into 1 5.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.683 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.683 * [taylor]: Taking taylor expansion of x in y 5.683 * [backup-simplify]: Simplify x into x 5.683 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.683 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.684 * [backup-simplify]: Simplify (+ 1 0) into 1 5.684 * [backup-simplify]: Simplify (sqrt 1) into 1 5.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.686 * [backup-simplify]: Simplify (+ 0 0) into 0 5.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.687 * [taylor]: Taking taylor expansion of y in y 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 1 into 1 5.687 * [backup-simplify]: Simplify (* 1 1) into 1 5.688 * [backup-simplify]: Simplify (/ 1 1) into 1 5.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.688 * [taylor]: Taking taylor expansion of x in y 5.688 * [backup-simplify]: Simplify x into x 5.688 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.688 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.688 * [backup-simplify]: Simplify (+ 1 0) into 1 5.689 * [backup-simplify]: Simplify (sqrt 1) into 1 5.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.690 * [backup-simplify]: Simplify (+ 0 0) into 0 5.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.691 * [taylor]: Taking taylor expansion of 1 in x 5.691 * [backup-simplify]: Simplify 1 into 1 5.691 * [taylor]: Taking taylor expansion of 0 in x 5.691 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify 1 into 1 5.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.693 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.694 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.695 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.695 * [taylor]: Taking taylor expansion of 1/2 in x 5.695 * [backup-simplify]: Simplify 1/2 into 1/2 5.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.695 * [taylor]: Taking taylor expansion of x in x 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 1 into 1 5.695 * [backup-simplify]: Simplify (* 1 1) into 1 5.695 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.699 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.700 * [backup-simplify]: Simplify (+ 0 0) into 0 5.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.700 * [taylor]: Taking taylor expansion of 0 in x 5.700 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 5.702 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 5.703 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 5.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 5.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.703 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.703 * [taylor]: Taking taylor expansion of y in x 5.703 * [backup-simplify]: Simplify y into y 5.703 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.703 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.703 * [taylor]: Taking taylor expansion of x in x 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [backup-simplify]: Simplify (* 1 1) into 1 5.704 * [backup-simplify]: Simplify (/ 1 1) into 1 5.704 * [backup-simplify]: Simplify (+ 0 1) into 1 5.704 * [backup-simplify]: Simplify (sqrt 1) into 1 5.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.706 * [backup-simplify]: Simplify (+ 0 0) into 0 5.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.707 * [taylor]: Taking taylor expansion of y in y 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify 1 into 1 5.707 * [backup-simplify]: Simplify (* 1 1) into 1 5.708 * [backup-simplify]: Simplify (/ 1 1) into 1 5.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.708 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.708 * [taylor]: Taking taylor expansion of x in y 5.708 * [backup-simplify]: Simplify x into x 5.708 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.708 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.708 * [backup-simplify]: Simplify (+ 1 0) into 1 5.709 * [backup-simplify]: Simplify (sqrt 1) into 1 5.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.711 * [backup-simplify]: Simplify (+ 0 0) into 0 5.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 5.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.711 * [taylor]: Taking taylor expansion of y in y 5.711 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify 1 into 1 5.712 * [backup-simplify]: Simplify (* 1 1) into 1 5.712 * [backup-simplify]: Simplify (/ 1 1) into 1 5.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.712 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.712 * [taylor]: Taking taylor expansion of x in y 5.712 * [backup-simplify]: Simplify x into x 5.712 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.713 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.713 * [backup-simplify]: Simplify (+ 1 0) into 1 5.713 * [backup-simplify]: Simplify (sqrt 1) into 1 5.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.715 * [backup-simplify]: Simplify (+ 0 0) into 0 5.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.716 * [taylor]: Taking taylor expansion of 1 in x 5.716 * [backup-simplify]: Simplify 1 into 1 5.716 * [taylor]: Taking taylor expansion of 0 in x 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify 1 into 1 5.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.718 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.719 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.719 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.719 * [taylor]: Taking taylor expansion of 1/2 in x 5.719 * [backup-simplify]: Simplify 1/2 into 1/2 5.719 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.719 * [taylor]: Taking taylor expansion of x in x 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify 1 into 1 5.719 * [backup-simplify]: Simplify (* 1 1) into 1 5.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.722 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.722 * [backup-simplify]: Simplify (+ 0 0) into 0 5.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.723 * [taylor]: Taking taylor expansion of 0 in x 5.723 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 5.724 * * * [progress]: simplifying candidates 5.724 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* y y) (* x x)))))))))> 5.725 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 5.725 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* y y) (* x x)))))) (/ y (sqrt (+ (* y y) (* x x)))))))> 5.726 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 5.726 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* y y) (* x x))))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))))> 5.727 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* y y) (* x x)))))) (/ y (sqrt (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))))> 5.727 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 5.727 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 5.728 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 5.728 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 5.728 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 5.728 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 5.728 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 5.728 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 5.728 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 5.728 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 5.728 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 5.728 * [simplify]: Simplifying (log (sqrt (+ (* y y) (* x x)))), (exp (sqrt (+ (* y y) (* x x)))), (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))), (cbrt (sqrt (+ (* y y) (* x x)))), (* (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x)))), (sqrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (sqrt (cbrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt 1), (sqrt (+ (* y y) (* x x))), (sqrt (+ (pow (* y y) 3) (pow (* x x) 3))), (sqrt (+ (* (* y y) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* x x))))), (sqrt (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (sqrt (- (* y y) (* x x))), (/ 1 2), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (real->posit16 (sqrt (+ (* y y) (* x x)))), (log (sqrt (+ (* y y) (* x x)))), (exp (sqrt (+ (* y y) (* x x)))), (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))), (cbrt (sqrt (+ (* y y) (* x x)))), (* (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x)))), (sqrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (sqrt (cbrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt 1), (sqrt (+ (* y y) (* x x))), (sqrt (+ (pow (* y y) 3) (pow (* x x) 3))), (sqrt (+ (* (* y y) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* x x))))), (sqrt (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (sqrt (- (* y y) (* x x))), (/ 1 2), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (real->posit16 (sqrt (+ (* y y) (* x x)))), (log (sqrt (+ (* y y) (* x x)))), (exp (sqrt (+ (* y y) (* x x)))), (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))), (cbrt (sqrt (+ (* y y) (* x x)))), (* (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x)))), (sqrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (sqrt (cbrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt 1), (sqrt (+ (* y y) (* x x))), (sqrt (+ (pow (* y y) 3) (pow (* x x) 3))), (sqrt (+ (* (* y y) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* x x))))), (sqrt (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (sqrt (- (* y y) (* x x))), (/ 1 2), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (real->posit16 (sqrt (+ (* y y) (* x x)))), (log (sqrt (+ (* y y) (* x x)))), (exp (sqrt (+ (* y y) (* x x)))), (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))), (cbrt (sqrt (+ (* y y) (* x x)))), (* (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x)))), (sqrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (sqrt (cbrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt 1), (sqrt (+ (* y y) (* x x))), (sqrt (+ (pow (* y y) 3) (pow (* x x) 3))), (sqrt (+ (* (* y y) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* x x))))), (sqrt (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (sqrt (- (* y y) (* x x))), (/ 1 2), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (real->posit16 (sqrt (+ (* y y) (* x x)))), x, y, (* -1 y), x, y, (* -1 y), x, y, (* -1 y), x, y, (* -1 y) 5.729 * * [simplify]: iteration 1: (39 enodes) 5.751 * * [simplify]: iteration 2: (165 enodes) 5.793 * * [simplify]: iteration 3: (295 enodes) 5.929 * * [simplify]: iteration 4: (594 enodes) 6.172 * * [simplify]: iteration 5: (1268 enodes) 6.888 * * [simplify]: Extracting #0: cost 19 inf + 0 6.888 * * [simplify]: Extracting #1: cost 40 inf + 4 6.889 * * [simplify]: Extracting #2: cost 181 inf + 88 6.893 * * [simplify]: Extracting #3: cost 524 inf + 5043 6.924 * * [simplify]: Extracting #4: cost 357 inf + 66182 6.980 * * [simplify]: Extracting #5: cost 73 inf + 136684 7.025 * * [simplify]: Extracting #6: cost 6 inf + 166012 7.075 * * [simplify]: Extracting #7: cost 0 inf + 167917 7.117 * * [simplify]: Extracting #8: cost 0 inf + 167877 7.161 * [simplify]: Simplified to (log (sqrt (+ (* y y) (* x x)))), (exp (sqrt (+ (* y y) (* x x)))), (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))), (cbrt (sqrt (+ (* y y) (* x x)))), (* (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x))), (fabs (cbrt (+ (* y y) (* x x)))), (sqrt (cbrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), 1, (sqrt (+ (* y y) (* x x))), (sqrt (+ (* (* y (* y y)) (* y (* y y))) (* (* x x) (* (* x x) (* x x))))), (sqrt (+ (* (* x x) (- (* x x) (* y y))) (* (* y y) (* y y)))), (sqrt (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (sqrt (- (* y y) (* x x))), 1/2, (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (real->posit16 (sqrt (+ (* y y) (* x x)))), (log (sqrt (+ (* y y) (* x x)))), (exp (sqrt (+ (* y y) (* x x)))), (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))), (cbrt (sqrt (+ (* y y) (* x x)))), (* (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x))), (fabs (cbrt (+ (* y y) (* x x)))), (sqrt (cbrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), 1, (sqrt (+ (* y y) (* x x))), (sqrt (+ (* (* y (* y y)) (* y (* y y))) (* (* x x) (* (* x x) (* x x))))), (sqrt (+ (* (* x x) (- (* x x) (* y y))) (* (* y y) (* y y)))), (sqrt (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (sqrt (- (* y y) (* x x))), 1/2, (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (real->posit16 (sqrt (+ (* y y) (* x x)))), (log (sqrt (+ (* y y) (* x x)))), (exp (sqrt (+ (* y y) (* x x)))), (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))), (cbrt (sqrt (+ (* y y) (* x x)))), (* (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x))), (fabs (cbrt (+ (* y y) (* x x)))), (sqrt (cbrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), 1, (sqrt (+ (* y y) (* x x))), (sqrt (+ (* (* y (* y y)) (* y (* y y))) (* (* x x) (* (* x x) (* x x))))), (sqrt (+ (* (* x x) (- (* x x) (* y y))) (* (* y y) (* y y)))), (sqrt (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (sqrt (- (* y y) (* x x))), 1/2, (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (real->posit16 (sqrt (+ (* y y) (* x x)))), (log (sqrt (+ (* y y) (* x x)))), (exp (sqrt (+ (* y y) (* x x)))), (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))), (cbrt (sqrt (+ (* y y) (* x x)))), (* (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x))), (fabs (cbrt (+ (* y y) (* x x)))), (sqrt (cbrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), 1, (sqrt (+ (* y y) (* x x))), (sqrt (+ (* (* y (* y y)) (* y (* y y))) (* (* x x) (* (* x x) (* x x))))), (sqrt (+ (* (* x x) (- (* x x) (* y y))) (* (* y y) (* y y)))), (sqrt (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (sqrt (- (* y y) (* x x))), 1/2, (sqrt (sqrt (+ (* y y) (* x x)))), (sqrt (sqrt (+ (* y y) (* x x)))), (real->posit16 (sqrt (+ (* y y) (* x x)))), x, y, (- y), x, y, (- y), x, y, (- y), x, y, (- y) 7.172 * * * [progress]: adding candidates to table 8.055 * * [progress]: iteration 3 / 4 8.055 * * * [progress]: picking best candidate 8.066 * * * * [pick]: Picked # 8.066 * * * [progress]: localizing error 8.066 * * * [progress]: generating rewritten candidates 8.066 * * * [progress]: generating series expansions 8.066 * * * [progress]: simplifying candidates 8.067 * [simplify]: Simplifying 8.067 * * [simplify]: iteration 1: (0 enodes) 8.067 * * [simplify]: Extracting #0: cost 0 inf + 0 8.067 * [simplify]: Simplified to 8.067 * * * [progress]: adding candidates to table 8.067 * * [progress]: iteration 4 / 4 8.067 * * * [progress]: picking best candidate 8.071 * * * * [pick]: Picked # 8.071 * * * [progress]: localizing error 8.116 * * * [progress]: generating rewritten candidates 8.116 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 8.144 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 8.179 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 8.196 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 8.211 * * * [progress]: generating series expansions 8.211 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 8.211 * [backup-simplify]: Simplify (/ (* y y) (+ (* y y) (* x x))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 8.211 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 8.211 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 8.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.211 * [taylor]: Taking taylor expansion of y in x 8.211 * [backup-simplify]: Simplify y into y 8.211 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.211 * [taylor]: Taking taylor expansion of y in x 8.211 * [backup-simplify]: Simplify y into y 8.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.211 * [taylor]: Taking taylor expansion of x in x 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 1 into 1 8.212 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.212 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.212 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.212 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 8.212 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.212 * [taylor]: Taking taylor expansion of y in y 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 1 into 1 8.212 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.212 * [taylor]: Taking taylor expansion of y in y 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 1 into 1 8.212 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.212 * [taylor]: Taking taylor expansion of x in y 8.212 * [backup-simplify]: Simplify x into x 8.212 * [backup-simplify]: Simplify (* 1 1) into 1 8.212 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.213 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.213 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.213 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.213 * [taylor]: Taking taylor expansion of y in y 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.213 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.213 * [taylor]: Taking taylor expansion of y in y 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.213 * [taylor]: Taking taylor expansion of x in y 8.213 * [backup-simplify]: Simplify x into x 8.213 * [backup-simplify]: Simplify (* 1 1) into 1 8.213 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.213 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.213 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.213 * [taylor]: Taking taylor expansion of x in x 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.214 * [backup-simplify]: Simplify (* 1 1) into 1 8.214 * [backup-simplify]: Simplify (/ 1 1) into 1 8.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.216 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.217 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.217 * [backup-simplify]: Simplify (+ 0 0) into 0 8.217 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.217 * [taylor]: Taking taylor expansion of 0 in x 8.217 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.219 * [backup-simplify]: Simplify 0 into 0 8.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.220 * [backup-simplify]: Simplify (* 1 1) into 1 8.221 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 8.221 * [backup-simplify]: Simplify (+ 1 0) into 1 8.221 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 8.221 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 8.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.221 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.222 * [taylor]: Taking taylor expansion of x in x 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify 1 into 1 8.222 * [backup-simplify]: Simplify (* 1 1) into 1 8.222 * [backup-simplify]: Simplify (* 1 1) into 1 8.223 * [backup-simplify]: Simplify (/ 1 1) into 1 8.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.235 * [backup-simplify]: Simplify (- 0) into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 8.238 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.238 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.238 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.238 * [taylor]: Taking taylor expansion of y in x 8.238 * [backup-simplify]: Simplify y into y 8.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.238 * [taylor]: Taking taylor expansion of y in x 8.238 * [backup-simplify]: Simplify y into y 8.238 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.238 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.238 * [taylor]: Taking taylor expansion of x in x 8.238 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify 1 into 1 8.239 * [backup-simplify]: Simplify (* 1 1) into 1 8.239 * [backup-simplify]: Simplify (/ 1 1) into 1 8.239 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.240 * [backup-simplify]: Simplify (+ 0 1) into 1 8.240 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 8.240 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.240 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.240 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.240 * [taylor]: Taking taylor expansion of y in y 8.240 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify 1 into 1 8.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.240 * [taylor]: Taking taylor expansion of y in y 8.240 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify 1 into 1 8.240 * [backup-simplify]: Simplify (* 1 1) into 1 8.241 * [backup-simplify]: Simplify (/ 1 1) into 1 8.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.241 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.241 * [taylor]: Taking taylor expansion of x in y 8.241 * [backup-simplify]: Simplify x into x 8.241 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.241 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.242 * [backup-simplify]: Simplify (* 1 1) into 1 8.242 * [backup-simplify]: Simplify (+ 1 0) into 1 8.242 * [backup-simplify]: Simplify (* 1 1) into 1 8.243 * [backup-simplify]: Simplify (/ 1 1) into 1 8.243 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.243 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.243 * [taylor]: Taking taylor expansion of y in y 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 1 into 1 8.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.243 * [taylor]: Taking taylor expansion of y in y 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 1 into 1 8.244 * [backup-simplify]: Simplify (* 1 1) into 1 8.244 * [backup-simplify]: Simplify (/ 1 1) into 1 8.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.244 * [taylor]: Taking taylor expansion of x in y 8.244 * [backup-simplify]: Simplify x into x 8.244 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.244 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.245 * [backup-simplify]: Simplify (* 1 1) into 1 8.245 * [backup-simplify]: Simplify (+ 1 0) into 1 8.246 * [backup-simplify]: Simplify (* 1 1) into 1 8.246 * [backup-simplify]: Simplify (/ 1 1) into 1 8.246 * [taylor]: Taking taylor expansion of 1 in x 8.246 * [backup-simplify]: Simplify 1 into 1 8.246 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.249 * [backup-simplify]: Simplify (+ 0 0) into 0 8.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.251 * [taylor]: Taking taylor expansion of 0 in x 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.253 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.255 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.255 * [taylor]: Taking taylor expansion of x in x 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 1 into 1 8.256 * [backup-simplify]: Simplify (* 1 1) into 1 8.261 * [backup-simplify]: Simplify (/ 1 1) into 1 8.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.271 * [backup-simplify]: Simplify (- 0) into 0 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 8.271 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.271 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.271 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.271 * [taylor]: Taking taylor expansion of y in x 8.271 * [backup-simplify]: Simplify y into y 8.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.272 * [taylor]: Taking taylor expansion of y in x 8.272 * [backup-simplify]: Simplify y into y 8.272 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.272 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.272 * [taylor]: Taking taylor expansion of x in x 8.272 * [backup-simplify]: Simplify 0 into 0 8.272 * [backup-simplify]: Simplify 1 into 1 8.272 * [backup-simplify]: Simplify (* 1 1) into 1 8.273 * [backup-simplify]: Simplify (/ 1 1) into 1 8.273 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.273 * [backup-simplify]: Simplify (+ 0 1) into 1 8.273 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 8.273 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.273 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.273 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.274 * [taylor]: Taking taylor expansion of y in y 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify 1 into 1 8.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.274 * [taylor]: Taking taylor expansion of y in y 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify 1 into 1 8.274 * [backup-simplify]: Simplify (* 1 1) into 1 8.274 * [backup-simplify]: Simplify (/ 1 1) into 1 8.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.274 * [taylor]: Taking taylor expansion of x in y 8.274 * [backup-simplify]: Simplify x into x 8.275 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.275 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.275 * [backup-simplify]: Simplify (* 1 1) into 1 8.275 * [backup-simplify]: Simplify (+ 1 0) into 1 8.275 * [backup-simplify]: Simplify (* 1 1) into 1 8.276 * [backup-simplify]: Simplify (/ 1 1) into 1 8.276 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.276 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.276 * [taylor]: Taking taylor expansion of y in y 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 1 into 1 8.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.276 * [taylor]: Taking taylor expansion of y in y 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 1 into 1 8.276 * [backup-simplify]: Simplify (* 1 1) into 1 8.276 * [backup-simplify]: Simplify (/ 1 1) into 1 8.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.276 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.276 * [taylor]: Taking taylor expansion of x in y 8.276 * [backup-simplify]: Simplify x into x 8.276 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.276 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.277 * [backup-simplify]: Simplify (* 1 1) into 1 8.277 * [backup-simplify]: Simplify (+ 1 0) into 1 8.277 * [backup-simplify]: Simplify (* 1 1) into 1 8.277 * [backup-simplify]: Simplify (/ 1 1) into 1 8.278 * [taylor]: Taking taylor expansion of 1 in x 8.278 * [backup-simplify]: Simplify 1 into 1 8.278 * [backup-simplify]: Simplify 0 into 0 8.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.279 * [backup-simplify]: Simplify (+ 0 0) into 0 8.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.280 * [taylor]: Taking taylor expansion of 0 in x 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.281 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.282 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.283 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.283 * [taylor]: Taking taylor expansion of x in x 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.283 * [backup-simplify]: Simplify (* 1 1) into 1 8.283 * [backup-simplify]: Simplify (/ 1 1) into 1 8.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.288 * [backup-simplify]: Simplify (- 0) into 0 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 8.288 * [backup-simplify]: Simplify (/ (* y y) (+ (* y y) (* x x))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 8.288 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 8.288 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 8.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.288 * [taylor]: Taking taylor expansion of y in x 8.288 * [backup-simplify]: Simplify y into y 8.289 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.289 * [taylor]: Taking taylor expansion of y in x 8.289 * [backup-simplify]: Simplify y into y 8.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.289 * [taylor]: Taking taylor expansion of x in x 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 1 into 1 8.289 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.289 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.289 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.289 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 8.289 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.289 * [taylor]: Taking taylor expansion of y in y 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 1 into 1 8.289 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.289 * [taylor]: Taking taylor expansion of y in y 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 1 into 1 8.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.289 * [taylor]: Taking taylor expansion of x in y 8.289 * [backup-simplify]: Simplify x into x 8.289 * [backup-simplify]: Simplify (* 1 1) into 1 8.289 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.289 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.289 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.289 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.289 * [taylor]: Taking taylor expansion of y in y 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify 1 into 1 8.290 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.290 * [taylor]: Taking taylor expansion of y in y 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify 1 into 1 8.290 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.290 * [taylor]: Taking taylor expansion of x in y 8.290 * [backup-simplify]: Simplify x into x 8.290 * [backup-simplify]: Simplify (* 1 1) into 1 8.290 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.290 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.290 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.290 * [taylor]: Taking taylor expansion of x in x 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify 1 into 1 8.290 * [backup-simplify]: Simplify (* 1 1) into 1 8.291 * [backup-simplify]: Simplify (/ 1 1) into 1 8.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.293 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.293 * [backup-simplify]: Simplify (+ 0 0) into 0 8.294 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.294 * [taylor]: Taking taylor expansion of 0 in x 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.295 * [backup-simplify]: Simplify 0 into 0 8.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.296 * [backup-simplify]: Simplify (* 1 1) into 1 8.296 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 8.296 * [backup-simplify]: Simplify (+ 1 0) into 1 8.296 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 8.297 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 8.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.297 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.297 * [taylor]: Taking taylor expansion of x in x 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.297 * [backup-simplify]: Simplify (* 1 1) into 1 8.297 * [backup-simplify]: Simplify (* 1 1) into 1 8.297 * [backup-simplify]: Simplify (/ 1 1) into 1 8.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.306 * [backup-simplify]: Simplify (- 0) into 0 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 8.310 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.310 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.310 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.310 * [taylor]: Taking taylor expansion of y in x 8.310 * [backup-simplify]: Simplify y into y 8.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.310 * [taylor]: Taking taylor expansion of y in x 8.310 * [backup-simplify]: Simplify y into y 8.310 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.310 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.310 * [taylor]: Taking taylor expansion of x in x 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 1 into 1 8.311 * [backup-simplify]: Simplify (* 1 1) into 1 8.311 * [backup-simplify]: Simplify (/ 1 1) into 1 8.311 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.312 * [backup-simplify]: Simplify (+ 0 1) into 1 8.312 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 8.312 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.312 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.312 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.312 * [taylor]: Taking taylor expansion of y in y 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 1 into 1 8.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.312 * [taylor]: Taking taylor expansion of y in y 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (* 1 1) into 1 8.313 * [backup-simplify]: Simplify (/ 1 1) into 1 8.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.313 * [taylor]: Taking taylor expansion of x in y 8.313 * [backup-simplify]: Simplify x into x 8.313 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.313 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.314 * [backup-simplify]: Simplify (* 1 1) into 1 8.314 * [backup-simplify]: Simplify (+ 1 0) into 1 8.315 * [backup-simplify]: Simplify (* 1 1) into 1 8.315 * [backup-simplify]: Simplify (/ 1 1) into 1 8.315 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.315 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.315 * [taylor]: Taking taylor expansion of y in y 8.315 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify 1 into 1 8.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.315 * [taylor]: Taking taylor expansion of y in y 8.315 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify 1 into 1 8.316 * [backup-simplify]: Simplify (* 1 1) into 1 8.316 * [backup-simplify]: Simplify (/ 1 1) into 1 8.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.316 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.316 * [taylor]: Taking taylor expansion of x in y 8.316 * [backup-simplify]: Simplify x into x 8.316 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.316 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.317 * [backup-simplify]: Simplify (* 1 1) into 1 8.317 * [backup-simplify]: Simplify (+ 1 0) into 1 8.318 * [backup-simplify]: Simplify (* 1 1) into 1 8.318 * [backup-simplify]: Simplify (/ 1 1) into 1 8.318 * [taylor]: Taking taylor expansion of 1 in x 8.318 * [backup-simplify]: Simplify 1 into 1 8.318 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.319 * [backup-simplify]: Simplify (+ 0 0) into 0 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.321 * [taylor]: Taking taylor expansion of 0 in x 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.322 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.323 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.323 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.323 * [taylor]: Taking taylor expansion of x in x 8.323 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify 1 into 1 8.324 * [backup-simplify]: Simplify (* 1 1) into 1 8.324 * [backup-simplify]: Simplify (/ 1 1) into 1 8.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.329 * [backup-simplify]: Simplify (- 0) into 0 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 8.329 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.329 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.329 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.329 * [taylor]: Taking taylor expansion of y in x 8.329 * [backup-simplify]: Simplify y into y 8.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.329 * [taylor]: Taking taylor expansion of y in x 8.329 * [backup-simplify]: Simplify y into y 8.329 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.329 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.329 * [taylor]: Taking taylor expansion of x in x 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 1 into 1 8.330 * [backup-simplify]: Simplify (* 1 1) into 1 8.330 * [backup-simplify]: Simplify (/ 1 1) into 1 8.330 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.330 * [backup-simplify]: Simplify (+ 0 1) into 1 8.330 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 8.330 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.330 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.330 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.330 * [taylor]: Taking taylor expansion of y in y 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify 1 into 1 8.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.330 * [taylor]: Taking taylor expansion of y in y 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify 1 into 1 8.331 * [backup-simplify]: Simplify (* 1 1) into 1 8.331 * [backup-simplify]: Simplify (/ 1 1) into 1 8.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.331 * [taylor]: Taking taylor expansion of x in y 8.331 * [backup-simplify]: Simplify x into x 8.331 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.331 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.331 * [backup-simplify]: Simplify (* 1 1) into 1 8.332 * [backup-simplify]: Simplify (+ 1 0) into 1 8.332 * [backup-simplify]: Simplify (* 1 1) into 1 8.332 * [backup-simplify]: Simplify (/ 1 1) into 1 8.332 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.332 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.332 * [taylor]: Taking taylor expansion of y in y 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 1 into 1 8.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.332 * [taylor]: Taking taylor expansion of y in y 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 1 into 1 8.333 * [backup-simplify]: Simplify (* 1 1) into 1 8.333 * [backup-simplify]: Simplify (/ 1 1) into 1 8.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.333 * [taylor]: Taking taylor expansion of x in y 8.333 * [backup-simplify]: Simplify x into x 8.333 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.333 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.333 * [backup-simplify]: Simplify (* 1 1) into 1 8.334 * [backup-simplify]: Simplify (+ 1 0) into 1 8.334 * [backup-simplify]: Simplify (* 1 1) into 1 8.334 * [backup-simplify]: Simplify (/ 1 1) into 1 8.334 * [taylor]: Taking taylor expansion of 1 in x 8.334 * [backup-simplify]: Simplify 1 into 1 8.334 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.335 * [backup-simplify]: Simplify (+ 0 0) into 0 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.337 * [taylor]: Taking taylor expansion of 0 in x 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.339 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.340 * [taylor]: Taking taylor expansion of x in x 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [backup-simplify]: Simplify (* 1 1) into 1 8.340 * [backup-simplify]: Simplify (/ 1 1) into 1 8.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.345 * [backup-simplify]: Simplify (- 0) into 0 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 8.345 * [backup-simplify]: Simplify (/ (* y y) (+ (* y y) (* x x))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 8.345 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 8.345 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 8.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.345 * [taylor]: Taking taylor expansion of y in x 8.345 * [backup-simplify]: Simplify y into y 8.345 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.345 * [taylor]: Taking taylor expansion of y in x 8.345 * [backup-simplify]: Simplify y into y 8.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.345 * [taylor]: Taking taylor expansion of x in x 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 1 into 1 8.346 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.346 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.346 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.346 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 8.346 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.346 * [taylor]: Taking taylor expansion of y in y 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 1 into 1 8.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.346 * [taylor]: Taking taylor expansion of y in y 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 1 into 1 8.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.346 * [taylor]: Taking taylor expansion of x in y 8.346 * [backup-simplify]: Simplify x into x 8.346 * [backup-simplify]: Simplify (* 1 1) into 1 8.346 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.347 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.347 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.347 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 8.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.347 * [taylor]: Taking taylor expansion of y in y 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 1 into 1 8.347 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.347 * [taylor]: Taking taylor expansion of y in y 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 1 into 1 8.347 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.347 * [taylor]: Taking taylor expansion of x in y 8.347 * [backup-simplify]: Simplify x into x 8.347 * [backup-simplify]: Simplify (* 1 1) into 1 8.348 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.348 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.348 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.348 * [taylor]: Taking taylor expansion of x in x 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify 1 into 1 8.348 * [backup-simplify]: Simplify (* 1 1) into 1 8.349 * [backup-simplify]: Simplify (/ 1 1) into 1 8.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.353 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.354 * [backup-simplify]: Simplify (+ 0 0) into 0 8.354 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.354 * [taylor]: Taking taylor expansion of 0 in x 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.356 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.357 * [backup-simplify]: Simplify (* 1 1) into 1 8.358 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 8.358 * [backup-simplify]: Simplify (+ 1 0) into 1 8.359 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 8.359 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 8.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.359 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.359 * [taylor]: Taking taylor expansion of x in x 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify 1 into 1 8.359 * [backup-simplify]: Simplify (* 1 1) into 1 8.360 * [backup-simplify]: Simplify (* 1 1) into 1 8.360 * [backup-simplify]: Simplify (/ 1 1) into 1 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (- 0) into 0 8.368 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.374 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 8.374 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.374 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.374 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.374 * [taylor]: Taking taylor expansion of y in x 8.374 * [backup-simplify]: Simplify y into y 8.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.374 * [taylor]: Taking taylor expansion of y in x 8.374 * [backup-simplify]: Simplify y into y 8.374 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.374 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.374 * [taylor]: Taking taylor expansion of x in x 8.374 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify 1 into 1 8.375 * [backup-simplify]: Simplify (* 1 1) into 1 8.375 * [backup-simplify]: Simplify (/ 1 1) into 1 8.375 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.376 * [backup-simplify]: Simplify (+ 0 1) into 1 8.376 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 8.376 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.376 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.376 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.376 * [taylor]: Taking taylor expansion of y in y 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 1 into 1 8.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.376 * [taylor]: Taking taylor expansion of y in y 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 1 into 1 8.376 * [backup-simplify]: Simplify (* 1 1) into 1 8.376 * [backup-simplify]: Simplify (/ 1 1) into 1 8.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.376 * [taylor]: Taking taylor expansion of x in y 8.377 * [backup-simplify]: Simplify x into x 8.377 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.377 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.377 * [backup-simplify]: Simplify (* 1 1) into 1 8.377 * [backup-simplify]: Simplify (+ 1 0) into 1 8.377 * [backup-simplify]: Simplify (* 1 1) into 1 8.378 * [backup-simplify]: Simplify (/ 1 1) into 1 8.378 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.378 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.378 * [taylor]: Taking taylor expansion of y in y 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.378 * [taylor]: Taking taylor expansion of y in y 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.378 * [backup-simplify]: Simplify (/ 1 1) into 1 8.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.378 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.378 * [taylor]: Taking taylor expansion of x in y 8.378 * [backup-simplify]: Simplify x into x 8.378 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.379 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.379 * [backup-simplify]: Simplify (* 1 1) into 1 8.379 * [backup-simplify]: Simplify (+ 1 0) into 1 8.379 * [backup-simplify]: Simplify (* 1 1) into 1 8.380 * [backup-simplify]: Simplify (/ 1 1) into 1 8.380 * [taylor]: Taking taylor expansion of 1 in x 8.380 * [backup-simplify]: Simplify 1 into 1 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.381 * [backup-simplify]: Simplify (+ 0 0) into 0 8.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.382 * [taylor]: Taking taylor expansion of 0 in x 8.382 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.384 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.385 * [taylor]: Taking taylor expansion of x in x 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [backup-simplify]: Simplify (* 1 1) into 1 8.385 * [backup-simplify]: Simplify (/ 1 1) into 1 8.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.390 * [backup-simplify]: Simplify (- 0) into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 8.391 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 8.391 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.391 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.391 * [taylor]: Taking taylor expansion of y in x 8.391 * [backup-simplify]: Simplify y into y 8.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.391 * [taylor]: Taking taylor expansion of y in x 8.391 * [backup-simplify]: Simplify y into y 8.391 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.391 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.392 * [taylor]: Taking taylor expansion of x in x 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 1 into 1 8.392 * [backup-simplify]: Simplify (* 1 1) into 1 8.393 * [backup-simplify]: Simplify (/ 1 1) into 1 8.393 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.393 * [backup-simplify]: Simplify (+ 0 1) into 1 8.393 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 8.393 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.393 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.393 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.394 * [taylor]: Taking taylor expansion of y in y 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 1 into 1 8.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.394 * [taylor]: Taking taylor expansion of y in y 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 1 into 1 8.394 * [backup-simplify]: Simplify (* 1 1) into 1 8.395 * [backup-simplify]: Simplify (/ 1 1) into 1 8.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.395 * [taylor]: Taking taylor expansion of x in y 8.395 * [backup-simplify]: Simplify x into x 8.395 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.395 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.395 * [backup-simplify]: Simplify (* 1 1) into 1 8.396 * [backup-simplify]: Simplify (+ 1 0) into 1 8.396 * [backup-simplify]: Simplify (* 1 1) into 1 8.397 * [backup-simplify]: Simplify (/ 1 1) into 1 8.397 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.397 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.397 * [taylor]: Taking taylor expansion of y in y 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 1 into 1 8.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.397 * [taylor]: Taking taylor expansion of y in y 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 1 into 1 8.398 * [backup-simplify]: Simplify (* 1 1) into 1 8.398 * [backup-simplify]: Simplify (/ 1 1) into 1 8.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.398 * [taylor]: Taking taylor expansion of x in y 8.398 * [backup-simplify]: Simplify x into x 8.398 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.398 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.399 * [backup-simplify]: Simplify (* 1 1) into 1 8.399 * [backup-simplify]: Simplify (+ 1 0) into 1 8.400 * [backup-simplify]: Simplify (* 1 1) into 1 8.400 * [backup-simplify]: Simplify (/ 1 1) into 1 8.400 * [taylor]: Taking taylor expansion of 1 in x 8.400 * [backup-simplify]: Simplify 1 into 1 8.400 * [backup-simplify]: Simplify 0 into 0 8.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.402 * [backup-simplify]: Simplify (+ 0 0) into 0 8.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.405 * [taylor]: Taking taylor expansion of 0 in x 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.407 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.409 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 8.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 8.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.410 * [taylor]: Taking taylor expansion of x in x 8.410 * [backup-simplify]: Simplify 0 into 0 8.410 * [backup-simplify]: Simplify 1 into 1 8.410 * [backup-simplify]: Simplify (* 1 1) into 1 8.411 * [backup-simplify]: Simplify (/ 1 1) into 1 8.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.419 * [backup-simplify]: Simplify (- 0) into 0 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 8.420 * [backup-simplify]: Simplify (/ (* x x) (+ (* y y) (* x x))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 8.420 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 8.420 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 8.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.420 * [taylor]: Taking taylor expansion of x in y 8.420 * [backup-simplify]: Simplify x into x 8.420 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.420 * [taylor]: Taking taylor expansion of y in y 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 1 into 1 8.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.420 * [taylor]: Taking taylor expansion of x in y 8.420 * [backup-simplify]: Simplify x into x 8.420 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.420 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.420 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.420 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 8.420 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 8.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.421 * [taylor]: Taking taylor expansion of x in x 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify 1 into 1 8.421 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.421 * [taylor]: Taking taylor expansion of y in x 8.421 * [backup-simplify]: Simplify y into y 8.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.421 * [taylor]: Taking taylor expansion of x in x 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify 1 into 1 8.421 * [backup-simplify]: Simplify (* 1 1) into 1 8.421 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.421 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.421 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.422 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 8.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.422 * [taylor]: Taking taylor expansion of x in x 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 1 into 1 8.422 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.422 * [taylor]: Taking taylor expansion of y in x 8.422 * [backup-simplify]: Simplify y into y 8.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.422 * [taylor]: Taking taylor expansion of x in x 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 1 into 1 8.422 * [backup-simplify]: Simplify (* 1 1) into 1 8.422 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.422 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.423 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.423 * [taylor]: Taking taylor expansion of y in y 8.423 * [backup-simplify]: Simplify 0 into 0 8.423 * [backup-simplify]: Simplify 1 into 1 8.423 * [backup-simplify]: Simplify (* 1 1) into 1 8.424 * [backup-simplify]: Simplify (/ 1 1) into 1 8.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.427 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.428 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.428 * [backup-simplify]: Simplify (+ 0 0) into 0 8.428 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.428 * [taylor]: Taking taylor expansion of 0 in y 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.432 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.432 * [backup-simplify]: Simplify (* 1 1) into 1 8.433 * [backup-simplify]: Simplify (+ 0 1) into 1 8.433 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 8.433 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.433 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.433 * [taylor]: Taking taylor expansion of y in y 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 1 into 1 8.434 * [backup-simplify]: Simplify (* 1 1) into 1 8.434 * [backup-simplify]: Simplify (* 1 1) into 1 8.434 * [backup-simplify]: Simplify (/ 1 1) into 1 8.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify (- 0) into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 8.446 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 8.446 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.446 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.446 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.446 * [taylor]: Taking taylor expansion of x in y 8.446 * [backup-simplify]: Simplify x into x 8.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.446 * [taylor]: Taking taylor expansion of y in y 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 1 into 1 8.447 * [backup-simplify]: Simplify (* 1 1) into 1 8.447 * [backup-simplify]: Simplify (/ 1 1) into 1 8.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.447 * [taylor]: Taking taylor expansion of x in y 8.447 * [backup-simplify]: Simplify x into x 8.447 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.447 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.447 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.448 * [backup-simplify]: Simplify (+ 1 0) into 1 8.448 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 8.448 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.448 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.448 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.448 * [taylor]: Taking taylor expansion of x in x 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 1 into 1 8.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.448 * [taylor]: Taking taylor expansion of y in x 8.448 * [backup-simplify]: Simplify y into y 8.448 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.448 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.448 * [taylor]: Taking taylor expansion of x in x 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 1 into 1 8.448 * [backup-simplify]: Simplify (* 1 1) into 1 8.449 * [backup-simplify]: Simplify (/ 1 1) into 1 8.449 * [backup-simplify]: Simplify (* 1 1) into 1 8.449 * [backup-simplify]: Simplify (+ 0 1) into 1 8.449 * [backup-simplify]: Simplify (* 1 1) into 1 8.450 * [backup-simplify]: Simplify (/ 1 1) into 1 8.450 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.450 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.450 * [taylor]: Taking taylor expansion of x in x 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify 1 into 1 8.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.450 * [taylor]: Taking taylor expansion of y in x 8.450 * [backup-simplify]: Simplify y into y 8.450 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.450 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.450 * [taylor]: Taking taylor expansion of x in x 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify 1 into 1 8.450 * [backup-simplify]: Simplify (* 1 1) into 1 8.450 * [backup-simplify]: Simplify (/ 1 1) into 1 8.451 * [backup-simplify]: Simplify (* 1 1) into 1 8.451 * [backup-simplify]: Simplify (+ 0 1) into 1 8.451 * [backup-simplify]: Simplify (* 1 1) into 1 8.452 * [backup-simplify]: Simplify (/ 1 1) into 1 8.452 * [taylor]: Taking taylor expansion of 1 in y 8.452 * [backup-simplify]: Simplify 1 into 1 8.452 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.453 * [backup-simplify]: Simplify (+ 0 0) into 0 8.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.454 * [taylor]: Taking taylor expansion of 0 in y 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.455 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.457 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 8.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 8.457 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 8.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.457 * [taylor]: Taking taylor expansion of y in y 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.457 * [backup-simplify]: Simplify (* 1 1) into 1 8.458 * [backup-simplify]: Simplify (/ 1 1) into 1 8.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (- 0) into 0 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 8.463 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 8.463 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 8.463 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.463 * [taylor]: Taking taylor expansion of x in y 8.463 * [backup-simplify]: Simplify x into x 8.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.463 * [taylor]: Taking taylor expansion of y in y 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.463 * [backup-simplify]: Simplify (* 1 1) into 1 8.464 * [backup-simplify]: Simplify (/ 1 1) into 1 8.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.464 * [taylor]: Taking taylor expansion of x in y 8.464 * [backup-simplify]: Simplify x into x 8.464 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.464 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.464 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.464 * [backup-simplify]: Simplify (+ 1 0) into 1 8.464 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 8.464 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.464 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.464 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.464 * [taylor]: Taking taylor expansion of x in x 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 1 into 1 8.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.465 * [taylor]: Taking taylor expansion of y in x 8.465 * [backup-simplify]: Simplify y into y 8.465 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.465 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.465 * [taylor]: Taking taylor expansion of x in x 8.465 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 1 into 1 8.465 * [backup-simplify]: Simplify (* 1 1) into 1 8.465 * [backup-simplify]: Simplify (/ 1 1) into 1 8.466 * [backup-simplify]: Simplify (* 1 1) into 1 8.466 * [backup-simplify]: Simplify (+ 0 1) into 1 8.466 * [backup-simplify]: Simplify (* 1 1) into 1 8.466 * [backup-simplify]: Simplify (/ 1 1) into 1 8.466 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 8.466 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.466 * [taylor]: Taking taylor expansion of x in x 8.466 * [backup-simplify]: Simplify 0 into 0 8.466 * [backup-simplify]: Simplify 1 into 1 8.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.467 * [taylor]: Taking taylor expansion of y in x 8.467 * [backup-simplify]: Simplify y into y 8.467 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.467 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.467 * [taylor]: Taking taylor expansion of x in x 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify 1 into 1 8.467 * [backup-simplify]: Simplify (* 1 1) into 1 8.467 * [backup-simplify]: Simplify (/ 1 1) into 1 8.468 * [backup-simplify]: Simplify (* 1 1) into 1 8.468 * [backup-simplify]: Simplify (+ 0 1) into 1 8.468 * [backup-simplify]: Simplify (* 1 1) into 1 8.468 * [backup-simplify]: Simplify (/ 1 1) into 1 8.469 * [taylor]: Taking taylor expansion of 1 in y 8.469 * [backup-simplify]: Simplify 1 into 1 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.470 * [backup-simplify]: Simplify (+ 0 0) into 0 8.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.472 * [taylor]: Taking taylor expansion of 0 in y 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.474 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.476 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 8.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 8.477 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 8.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.477 * [taylor]: Taking taylor expansion of y in y 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify 1 into 1 8.477 * [backup-simplify]: Simplify (* 1 1) into 1 8.477 * [backup-simplify]: Simplify (/ 1 1) into 1 8.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.486 * [backup-simplify]: Simplify (- 0) into 0 8.486 * [backup-simplify]: Simplify 0 into 0 8.486 * [backup-simplify]: Simplify 0 into 0 8.486 * [backup-simplify]: Simplify 0 into 0 8.486 * [backup-simplify]: Simplify 0 into 0 8.486 * * * [progress]: simplifying candidates 8.486 * * * * [progress]: [ 1 / 108 ] simplifiying candidate # 8.486 * * * * [progress]: [ 2 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 3 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 4 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 5 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 6 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 7 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 8 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 9 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 10 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 11 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 12 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 13 / 108 ] simplifiying candidate # 8.487 * * * * [progress]: [ 14 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 15 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 16 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 17 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 18 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 19 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 20 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 21 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 22 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 23 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 24 / 108 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* y y) (* x x)))))))))> 8.488 * * * * [progress]: [ 25 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 26 / 108 ] simplifiying candidate # 8.488 * * * * [progress]: [ 27 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 28 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 29 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 30 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 31 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 32 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 33 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 34 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 35 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 36 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 37 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 38 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 39 / 108 ] simplifiying candidate # 8.489 * * * * [progress]: [ 40 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 41 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 42 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 43 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 44 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 45 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 46 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 47 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 48 / 108 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* y y) (* x x))))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))))> 8.490 * * * * [progress]: [ 49 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 50 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 51 / 108 ] simplifiying candidate # 8.490 * * * * [progress]: [ 52 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 53 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 54 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 55 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 56 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 57 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 58 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 59 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 60 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 61 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 62 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 63 / 108 ] simplifiying candidate # 8.491 * * * * [progress]: [ 64 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 65 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 66 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 67 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 68 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 69 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 70 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 71 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 72 / 108 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* y y) (* x x)))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))))> 8.492 * * * * [progress]: [ 73 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 74 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 75 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 76 / 108 ] simplifiying candidate # 8.492 * * * * [progress]: [ 77 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 78 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 79 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 80 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 81 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 82 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 83 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 84 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 85 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 86 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 87 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 88 / 108 ] simplifiying candidate # 8.493 * * * * [progress]: [ 89 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 90 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 91 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 92 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 93 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 94 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 95 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 96 / 108 ] simplifiying candidate #real (real->posit16 (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* y y) (* x x)))))))> 8.494 * * * * [progress]: [ 97 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 98 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 99 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 100 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 101 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 102 / 108 ] simplifiying candidate # 8.494 * * * * [progress]: [ 103 / 108 ] simplifiying candidate # 8.495 * * * * [progress]: [ 104 / 108 ] simplifiying candidate # 8.495 * * * * [progress]: [ 105 / 108 ] simplifiying candidate # 8.495 * * * * [progress]: [ 106 / 108 ] simplifiying candidate # 8.495 * * * * [progress]: [ 107 / 108 ] simplifiying candidate # 8.495 * * * * [progress]: [ 108 / 108 ] simplifiying candidate # 8.497 * [simplify]: Simplifying (- (+ (log y) (log y)) (log (+ (* y y) (* x x)))), (- (log (* y y)) (log (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (exp (/ (* y y) (+ (* y y) (* x x)))), (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))), (cbrt (/ (* y y) (+ (* y y) (* x x)))), (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (- (* y y)), (- (+ (* y y) (* x x))), (/ y (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ y (cbrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y 1), (/ y (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* y y)), (/ (* y y) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ (* y y) (sqrt (+ (* y y) (* x x)))), (/ (* y y) 1), (/ (+ (* y y) (* x x)) y), (/ (* y y) (+ (pow (* y y) 3) (pow (* x x) 3))), (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (real->posit16 (/ (* y y) (+ (* y y) (* x x)))), (- (+ (log y) (log y)) (log (+ (* y y) (* x x)))), (- (log (* y y)) (log (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (exp (/ (* y y) (+ (* y y) (* x x)))), (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))), (cbrt (/ (* y y) (+ (* y y) (* x x)))), (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (- (* y y)), (- (+ (* y y) (* x x))), (/ y (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ y (cbrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y 1), (/ y (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* y y)), (/ (* y y) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ (* y y) (sqrt (+ (* y y) (* x x)))), (/ (* y y) 1), (/ (+ (* y y) (* x x)) y), (/ (* y y) (+ (pow (* y y) 3) (pow (* x x) 3))), (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (real->posit16 (/ (* y y) (+ (* y y) (* x x)))), (- (+ (log y) (log y)) (log (+ (* y y) (* x x)))), (- (log (* y y)) (log (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (exp (/ (* y y) (+ (* y y) (* x x)))), (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))), (cbrt (/ (* y y) (+ (* y y) (* x x)))), (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (- (* y y)), (- (+ (* y y) (* x x))), (/ y (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ y (cbrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y 1), (/ y (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* y y)), (/ (* y y) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ (* y y) (sqrt (+ (* y y) (* x x)))), (/ (* y y) 1), (/ (+ (* y y) (* x x)) y), (/ (* y y) (+ (pow (* y y) 3) (pow (* x x) 3))), (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (real->posit16 (/ (* y y) (+ (* y y) (* x x)))), (- (+ (log x) (log x)) (log (+ (* y y) (* x x)))), (- (log (* x x)) (log (+ (* y y) (* x x)))), (log (/ (* x x) (+ (* y y) (* x x)))), (exp (/ (* x x) (+ (* y y) (* x x)))), (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))), (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x))))), (cbrt (/ (* x x) (+ (* y y) (* x x)))), (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))), (sqrt (/ (* x x) (+ (* y y) (* x x)))), (sqrt (/ (* x x) (+ (* y y) (* x x)))), (- (* x x)), (- (+ (* y y) (* x x))), (/ x (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ x (cbrt (+ (* y y) (* x x)))), (/ x (sqrt (+ (* y y) (* x x)))), (/ x (sqrt (+ (* y y) (* x x)))), (/ x 1), (/ x (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* x x)), (/ (* x x) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ (* x x) (sqrt (+ (* y y) (* x x)))), (/ (* x x) 1), (/ (+ (* y y) (* x x)) x), (/ (* x x) (+ (pow (* y y) 3) (pow (* x x) 3))), (/ (* x x) (- (* (* y y) (* y y)) (* (* x x) (* x x)))), (real->posit16 (/ (* x x) (+ (* y y) (* x x)))), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 8.499 * * [simplify]: iteration 1: (86 enodes) 8.529 * * [simplify]: iteration 2: (365 enodes) 8.675 * * [simplify]: iteration 3: (998 enodes) 9.238 * * [simplify]: Extracting #0: cost 43 inf + 0 9.239 * * [simplify]: Extracting #1: cost 276 inf + 85 9.247 * * [simplify]: Extracting #2: cost 502 inf + 15053 9.271 * * [simplify]: Extracting #3: cost 257 inf + 85700 9.327 * * [simplify]: Extracting #4: cost 66 inf + 146576 9.380 * * [simplify]: Extracting #5: cost 3 inf + 161919 9.440 * * [simplify]: Extracting #6: cost 0 inf + 162877 9.496 * [simplify]: Simplified to (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (exp (/ (* y y) (+ (* y y) (* x x)))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))), (cbrt (/ (* y y) (+ (* y y) (* x x)))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (- (* y y)), (- (- (* y y)) (* x x)), (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))), (/ y (cbrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), y, (/ y (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* y y)), (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))), (/ (* y y) (sqrt (+ (* y y) (* x x)))), (* y y), (/ (+ (* y y) (* x x)) y), (/ (* y y) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) (* (* y y) (* y y))))), (/ (/ (* y y) (+ (* y y) (* x x))) (- (* y y) (* x x))), (real->posit16 (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (exp (/ (* y y) (+ (* y y) (* x x)))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))), (cbrt (/ (* y y) (+ (* y y) (* x x)))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (- (* y y)), (- (- (* y y)) (* x x)), (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))), (/ y (cbrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), y, (/ y (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* y y)), (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))), (/ (* y y) (sqrt (+ (* y y) (* x x)))), (* y y), (/ (+ (* y y) (* x x)) y), (/ (* y y) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) (* (* y y) (* y y))))), (/ (/ (* y y) (+ (* y y) (* x x))) (- (* y y) (* x x))), (real->posit16 (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (exp (/ (* y y) (+ (* y y) (* x x)))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))), (cbrt (/ (* y y) (+ (* y y) (* x x)))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (- (* y y)), (- (- (* y y)) (* x x)), (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))), (/ y (cbrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), y, (/ y (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* y y)), (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))), (/ (* y y) (sqrt (+ (* y y) (* x x)))), (* y y), (/ (+ (* y y) (* x x)) y), (/ (* y y) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) (* (* y y) (* y y))))), (/ (/ (* y y) (+ (* y y) (* x x))) (- (* y y) (* x x))), (real->posit16 (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* x x) (+ (* y y) (* x x)))), (log (/ (* x x) (+ (* y y) (* x x)))), (log (/ (* x x) (+ (* y y) (* x x)))), (exp (/ (* x x) (+ (* y y) (* x x)))), (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))), (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))), (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x))))), (cbrt (/ (* x x) (+ (* y y) (* x x)))), (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))), (sqrt (/ (* x x) (+ (* y y) (* x x)))), (sqrt (/ (* x x) (+ (* y y) (* x x)))), (- (* x x)), (- (- (* y y)) (* x x)), (/ (/ x (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))), (/ x (cbrt (+ (* y y) (* x x)))), (/ x (sqrt (+ (* y y) (* x x)))), (/ x (sqrt (+ (* y y) (* x x)))), x, (/ x (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* x x)), (/ (* x x) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ (* x x) (sqrt (+ (* y y) (* x x)))), (* x x), (/ (+ (* y y) (* x x)) x), (/ (* x x) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) (* (* y y) (* y y))))), (/ (/ (* x x) (+ (* y y) (* x x))) (- (* y y) (* x x))), (real->posit16 (/ (* x x) (+ (* y y) (* x x)))), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 9.509 * * * [progress]: adding candidates to table 10.688 * [progress]: [Phase 3 of 3] Extracting. 10.688 * * [regime]: Finding splitpoints for: (# # # #) 10.689 * * * [regime-changes]: Trying 2 branch expressions: (y x) 10.689 * * * * [regimes]: Trying to branch on y from (# # # #) 10.743 * * * * [regimes]: Trying to branch on x from (# # # #) 10.795 * * * [regime]: Found split indices: #