41.329 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.030 * * [simplify]: iteration 0: 7 enodes 0.031 * * [simplify]: iteration 1: 14 enodes 0.033 * * [simplify]: iteration 2: 29 enodes 0.045 * * [simplify]: iteration 3: 51 enodes 0.053 * * [simplify]: iteration 4: 71 enodes 0.061 * * [simplify]: iteration 5: 79 enodes 0.070 * * [simplify]: iteration complete: 79 enodes 0.070 * * [simplify]: Extracting #0: cost 1 inf + 0 0.070 * * [simplify]: Extracting #1: cost 13 inf + 0 0.070 * * [simplify]: Extracting #2: cost 4 inf + 25 0.070 * * [simplify]: Extracting #3: cost 0 inf + 48 0.070 * [simplify]: Simplified to: (fma x x (* (* y 3) y)) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.081 * * * * [pick]: Picked # 0.081 * * * [progress]: localizing error 0.093 * * * [progress]: generating rewritten candidates 0.093 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.258 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.304 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.318 * * * [progress]: generating series expansions 0.319 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.319 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (* 3 (pow y 2)) (pow x 2)) 0.319 * [approximate]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 0.319 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of 3 in y 0.319 * [backup-simplify]: Simplify 3 into 3 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [backup-simplify]: Simplify x into x 0.320 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of 3 in x 0.320 * [backup-simplify]: Simplify 3 into 3 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [backup-simplify]: Simplify y into y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of 3 in x 0.320 * [backup-simplify]: Simplify 3 into 3 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [backup-simplify]: Simplify y into y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.320 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.321 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 0.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.321 * [backup-simplify]: Simplify 3 into 3 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.322 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (+ 0 1) into 1 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (* 3 1) into 3 0.326 * [backup-simplify]: Simplify 3 into 3 0.327 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 0.333 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.333 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.333 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.333 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.333 * [taylor]: Taking taylor expansion of 3 in y 0.333 * [backup-simplify]: Simplify 3 into 3 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [backup-simplify]: Simplify x into x 0.333 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.334 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.334 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.334 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.334 * [taylor]: Taking taylor expansion of 3 in x 0.334 * [backup-simplify]: Simplify 3 into 3 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [backup-simplify]: Simplify y into y 0.334 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.334 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.334 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.334 * [taylor]: Taking taylor expansion of 3 in x 0.334 * [backup-simplify]: Simplify 3 into 3 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.335 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (+ 0 1) into 1 0.336 * [taylor]: Taking taylor expansion of 1 in y 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 0.338 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.338 * [taylor]: Taking taylor expansion of 3 in y 0.338 * [backup-simplify]: Simplify 3 into 3 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify (* 3 1) into 3 0.339 * [backup-simplify]: Simplify 3 into 3 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 0.351 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.351 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.351 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.351 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.351 * [taylor]: Taking taylor expansion of 3 in y 0.351 * [backup-simplify]: Simplify 3 into 3 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [backup-simplify]: Simplify x into x 0.352 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.352 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.352 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.352 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.352 * [taylor]: Taking taylor expansion of 3 in x 0.352 * [backup-simplify]: Simplify 3 into 3 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [backup-simplify]: Simplify y into y 0.352 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.353 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (* 1 1) into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.353 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.353 * [taylor]: Taking taylor expansion of 3 in x 0.353 * [backup-simplify]: Simplify 3 into 3 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [backup-simplify]: Simplify y into y 0.354 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.354 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (+ 0 1) into 1 0.355 * [taylor]: Taking taylor expansion of 1 in y 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 0.359 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of 3 in y 0.359 * [backup-simplify]: Simplify 3 into 3 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* 1 1) into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify (* 3 1) into 3 0.361 * [backup-simplify]: Simplify 3 into 3 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 0.375 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.375 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (* 2 (pow y 2)) (pow x 2)) 0.375 * [approximate]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in (x y) around 0 0.375 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 0.375 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of 2 in y 0.375 * [backup-simplify]: Simplify 2 into 2 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [backup-simplify]: Simplify x into x 0.375 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.376 * [taylor]: Taking taylor expansion of 2 in x 0.376 * [backup-simplify]: Simplify 2 into 2 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [backup-simplify]: Simplify y into y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.376 * [taylor]: Taking taylor expansion of 2 in x 0.376 * [backup-simplify]: Simplify 2 into 2 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [backup-simplify]: Simplify y into y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.376 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 0.376 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 0.376 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of 2 in y 0.376 * [backup-simplify]: Simplify 2 into 2 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.377 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (+ 0 1) into 1 0.379 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (* 2 1) into 2 0.379 * [backup-simplify]: Simplify 2 into 2 0.380 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 0.386 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.386 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.386 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.386 * [taylor]: Taking taylor expansion of 2 in y 0.386 * [backup-simplify]: Simplify 2 into 2 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.386 * [backup-simplify]: Simplify x into x 0.387 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.387 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.387 * [taylor]: Taking taylor expansion of 2 in x 0.387 * [backup-simplify]: Simplify 2 into 2 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [backup-simplify]: Simplify y into y 0.387 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.388 * [taylor]: Taking taylor expansion of 2 in x 0.388 * [backup-simplify]: Simplify 2 into 2 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [backup-simplify]: Simplify y into y 0.388 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.388 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [backup-simplify]: Simplify (+ 0 1) into 1 0.389 * [taylor]: Taking taylor expansion of 1 in y 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 0.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.391 * [taylor]: Taking taylor expansion of 2 in y 0.391 * [backup-simplify]: Simplify 2 into 2 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (* 2 1) into 2 0.392 * [backup-simplify]: Simplify 2 into 2 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.397 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 0.401 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.401 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.401 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.401 * [taylor]: Taking taylor expansion of 2 in y 0.401 * [backup-simplify]: Simplify 2 into 2 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [backup-simplify]: Simplify x into x 0.402 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.402 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.402 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.402 * [taylor]: Taking taylor expansion of 2 in x 0.402 * [backup-simplify]: Simplify 2 into 2 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.402 * [backup-simplify]: Simplify y into y 0.402 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.403 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of 2 in x 0.403 * [backup-simplify]: Simplify 2 into 2 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.404 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (+ 0 1) into 1 0.404 * [taylor]: Taking taylor expansion of 1 in y 0.404 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 0.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.407 * [taylor]: Taking taylor expansion of 2 in y 0.407 * [backup-simplify]: Simplify 2 into 2 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (* 2 1) into 2 0.409 * [backup-simplify]: Simplify 2 into 2 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 0.423 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.423 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.423 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [backup-simplify]: Simplify x into x 0.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [backup-simplify]: Simplify y into y 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.424 * [backup-simplify]: Simplify y into y 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.424 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (+ 0 1) into 1 0.426 * [taylor]: Taking taylor expansion of 1 in y 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.433 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.433 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [backup-simplify]: Simplify x into x 0.434 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [backup-simplify]: Simplify y into y 0.434 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.434 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.436 * [backup-simplify]: Simplify y into y 0.436 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.436 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (+ 0 1) into 1 0.437 * [taylor]: Taking taylor expansion of 1 in y 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.454 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.454 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [backup-simplify]: Simplify x into x 0.455 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.455 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [backup-simplify]: Simplify y into y 0.455 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.455 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [backup-simplify]: Simplify y into y 0.456 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.457 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [backup-simplify]: Simplify (+ 0 1) into 1 0.458 * [taylor]: Taking taylor expansion of 1 in y 0.458 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.474 * * * [progress]: simplifying candidates 0.476 * [simplify]: Simplifying: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.477 * * [simplify]: iteration 0: 76 enodes 0.494 * * [simplify]: iteration 1: 276 enodes 0.716 * * [simplify]: iteration 2: 1763 enodes 2.620 * * [simplify]: iteration complete: 5002 enodes 2.620 * * [simplify]: Extracting #0: cost 39 inf + 0 2.622 * * [simplify]: Extracting #1: cost 646 inf + 0 2.628 * * [simplify]: Extracting #2: cost 1488 inf + 242 2.635 * * [simplify]: Extracting #3: cost 969 inf + 2875 2.642 * * [simplify]: Extracting #4: cost 321 inf + 8389 2.649 * * [simplify]: Extracting #5: cost 13 inf + 12696 2.663 * * [simplify]: Extracting #6: cost 0 inf + 12880 2.669 * [simplify]: Simplified to: (expm1 (fma y (+ y y) (fma x x (* y y)))) (log1p (fma y (+ y y) (fma x x (* y y)))) (* (pow (exp x) x) (pow (pow (exp y) y) 3)) (* (pow (exp x) x) (pow (pow (exp y) y) 3)) (* (pow (exp x) x) (pow (pow (exp y) y) 3)) (log (fma y (+ y y) (fma x x (* y y)))) (* (pow (exp x) x) (pow (pow (exp y) y) 3)) (* (cbrt (fma y (+ y y) (fma x x (* y y)))) (cbrt (fma y (+ y y) (fma x x (* y y))))) (cbrt (fma y (+ y y) (fma x x (* y y)))) (pow (fma y (+ y y) (fma x x (* y y))) 3) (sqrt (fma y (+ y y) (fma x x (* y y)))) (sqrt (fma y (+ y y) (fma x x (* y y)))) (+ (pow (fma (* 2 y) y (pow x 2)) 3) (pow y 6)) (fma (- (fma x x (* y y))) (* y y) (* (fma (* 2 y) y (pow x 2)) (fma (* 2 y) y (pow x 2)))) (* (fma y (+ y y) (fma x x (* y y))) (fma x x (* y y))) (fma x x (* y y)) (* (* 2 y) y) (expm1 (fma (* 2 y) y (pow x 2))) (log1p (fma (* 2 y) y (pow x 2))) (exp (fma (* 2 y) y (pow x 2))) (exp (fma (* 2 y) y (pow x 2))) (log (fma (* 2 y) y (pow x 2))) (exp (fma (* 2 y) y (pow x 2))) (* (cbrt (fma (* 2 y) y (pow x 2))) (cbrt (fma (* 2 y) y (pow x 2)))) (cbrt (fma (* 2 y) y (pow x 2))) (pow (fma (* 2 y) y (pow x 2)) 3) (sqrt (fma (* 2 y) y (pow x 2))) (sqrt (fma (* 2 y) y (pow x 2))) (+ (pow y 6) (pow (fma x x (* y y)) 3)) (fma (fma x x (* y y)) (fma x x (* y y)) (* (* y y) (- (pow x 2)))) (* (pow x 2) (fma (* 2 y) y (pow x 2))) (pow x 2) (* (* 2 y) y) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (exp (fma x x (* y y))) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (+ (pow y 6) (pow x 6)) (fma (* (+ y x) (- y x)) (* y y) (pow x 4)) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) (fma 3 (* y y) (pow x 2)) (fma 3 (* y y) (pow x 2)) (fma 3 (* y y) (pow x 2)) (fma (* 2 y) y (pow x 2)) (fma (* 2 y) y (pow x 2)) (fma (* 2 y) y (pow x 2)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 2.670 * * * [progress]: adding candidates to table 2.965 * * [progress]: iteration 2 / 4 2.965 * * * [progress]: picking best candidate 3.005 * * * * [pick]: Picked # 3.005 * * * [progress]: localizing error 3.014 * * * [progress]: generating rewritten candidates 3.014 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.015 * * * [progress]: generating series expansions 3.015 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.015 * [backup-simplify]: Simplify (fma 3 (* y y) (pow x 2)) into (fma 3 (pow y 2) (pow x 2)) 3.015 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 3.015 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 3.015 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 3.015 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.015 * [taylor]: Taking taylor expansion of 3 in x 3.015 * [backup-simplify]: Simplify 3 into 3 3.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.015 * [taylor]: Taking taylor expansion of y in x 3.015 * [backup-simplify]: Simplify y into y 3.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.015 * [taylor]: Taking taylor expansion of x in x 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 3.015 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 3.015 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.015 * [taylor]: Taking taylor expansion of 3 in y 3.015 * [backup-simplify]: Simplify 3 into 3 3.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.015 * [taylor]: Taking taylor expansion of y in y 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.015 * [taylor]: Taking taylor expansion of x in y 3.015 * [backup-simplify]: Simplify x into x 3.015 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 3.016 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 3.016 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.016 * [taylor]: Taking taylor expansion of 3 in y 3.016 * [backup-simplify]: Simplify 3 into 3 3.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.016 * [taylor]: Taking taylor expansion of y in y 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.016 * [taylor]: Taking taylor expansion of x in y 3.016 * [backup-simplify]: Simplify x into x 3.016 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.016 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.016 * [backup-simplify]: Simplify (+ 0 0) into 0 3.016 * [taylor]: Taking taylor expansion of 0 in x 3.016 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify (* 1 1) into 1 3.017 * [backup-simplify]: Simplify (* 3 1) into 3 3.017 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.018 * [backup-simplify]: Simplify (+ 3 0) into 3 3.018 * [taylor]: Taking taylor expansion of 3 in x 3.018 * [backup-simplify]: Simplify 3 into 3 3.018 * [backup-simplify]: Simplify 3 into 3 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify (* 1 1) into 1 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.019 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.019 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [taylor]: Taking taylor expansion of 0 in x 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.021 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.022 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.022 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [taylor]: Taking taylor expansion of 0 in x 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.023 * [backup-simplify]: Simplify (fma 3 (* (/ 1 y) (/ 1 y)) (pow (/ 1 x) 2)) into (fma 3 (/ 1 (pow y 2)) (pow (/ 1 x) 2)) 3.023 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (pow (/ 1 x) 2)) in (y x) around 0 3.023 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (pow (/ 1 x) 2)) in x 3.023 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (pow (/ 1 x) 2)) 3.023 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.023 * [taylor]: Taking taylor expansion of 3 in x 3.023 * [backup-simplify]: Simplify 3 into 3 3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.023 * [taylor]: Taking taylor expansion of y in x 3.023 * [backup-simplify]: Simplify y into y 3.023 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.023 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.023 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 3.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.023 * [taylor]: Taking taylor expansion of x in x 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (/ 1 1) into 1 3.023 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (pow (/ 1 x) 2)) in y 3.023 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (pow (/ 1 x) 2)) 3.024 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.024 * [taylor]: Taking taylor expansion of 3 in y 3.024 * [backup-simplify]: Simplify 3 into 3 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.024 * [taylor]: Taking taylor expansion of y in y 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [backup-simplify]: Simplify (* 1 1) into 1 3.024 * [backup-simplify]: Simplify (/ 1 1) into 1 3.024 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 3.024 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.024 * [taylor]: Taking taylor expansion of x in y 3.024 * [backup-simplify]: Simplify x into x 3.024 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.024 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (pow (/ 1 x) 2)) in y 3.024 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (pow (/ 1 x) 2)) 3.024 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.024 * [taylor]: Taking taylor expansion of 3 in y 3.024 * [backup-simplify]: Simplify 3 into 3 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.024 * [taylor]: Taking taylor expansion of y in y 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (* 1 1) into 1 3.025 * [backup-simplify]: Simplify (/ 1 1) into 1 3.025 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 3.025 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.025 * [taylor]: Taking taylor expansion of x in y 3.025 * [backup-simplify]: Simplify x into x 3.025 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.025 * [backup-simplify]: Simplify (* 3 1) into 3 3.026 * [backup-simplify]: Simplify (+ 3 0) into 3 3.026 * [taylor]: Taking taylor expansion of 3 in x 3.026 * [backup-simplify]: Simplify 3 into 3 3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.027 * [backup-simplify]: Simplify (+ 0 0) into 0 3.027 * [taylor]: Taking taylor expansion of 0 in x 3.027 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.029 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 3.030 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.030 * [taylor]: Taking taylor expansion of x in x 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [backup-simplify]: Simplify (* 1 1) into 1 3.030 * [backup-simplify]: Simplify (/ 1 1) into 1 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [backup-simplify]: Simplify 3 into 3 3.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.032 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 3.033 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [taylor]: Taking taylor expansion of 0 in x 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.036 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.037 * [backup-simplify]: Simplify (+ 0 0) into 0 3.037 * [taylor]: Taking taylor expansion of 0 in x 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.038 * [backup-simplify]: Simplify (fma 3 (* (/ 1 (- y)) (/ 1 (- y))) (pow (/ 1 (- x)) 2)) into (fma 3 (/ 1 (pow y 2)) (pow (/ -1 x) 2)) 3.038 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (pow (/ -1 x) 2)) in (y x) around 0 3.038 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (pow (/ -1 x) 2)) in x 3.038 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (pow (/ -1 x) 2)) 3.038 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.038 * [taylor]: Taking taylor expansion of 3 in x 3.038 * [backup-simplify]: Simplify 3 into 3 3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.038 * [taylor]: Taking taylor expansion of y in x 3.038 * [backup-simplify]: Simplify y into y 3.038 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.039 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.039 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 3.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.039 * [taylor]: Taking taylor expansion of -1 in x 3.039 * [backup-simplify]: Simplify -1 into -1 3.039 * [taylor]: Taking taylor expansion of x in x 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [backup-simplify]: Simplify (/ -1 1) into -1 3.039 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (pow (/ -1 x) 2)) in y 3.039 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (pow (/ -1 x) 2)) 3.039 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.039 * [taylor]: Taking taylor expansion of 3 in y 3.039 * [backup-simplify]: Simplify 3 into 3 3.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.039 * [taylor]: Taking taylor expansion of y in y 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [backup-simplify]: Simplify (* 1 1) into 1 3.040 * [backup-simplify]: Simplify (/ 1 1) into 1 3.040 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 3.040 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.040 * [taylor]: Taking taylor expansion of -1 in y 3.040 * [backup-simplify]: Simplify -1 into -1 3.040 * [taylor]: Taking taylor expansion of x in y 3.040 * [backup-simplify]: Simplify x into x 3.040 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.040 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (pow (/ -1 x) 2)) in y 3.040 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (pow (/ -1 x) 2)) 3.040 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.040 * [taylor]: Taking taylor expansion of 3 in y 3.040 * [backup-simplify]: Simplify 3 into 3 3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.040 * [taylor]: Taking taylor expansion of y in y 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [backup-simplify]: Simplify (* 1 1) into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.041 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 3.041 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.041 * [taylor]: Taking taylor expansion of -1 in y 3.041 * [backup-simplify]: Simplify -1 into -1 3.041 * [taylor]: Taking taylor expansion of x in y 3.041 * [backup-simplify]: Simplify x into x 3.041 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.041 * [backup-simplify]: Simplify (* 3 1) into 3 3.041 * [backup-simplify]: Simplify (+ 3 0) into 3 3.041 * [taylor]: Taking taylor expansion of 3 in x 3.041 * [backup-simplify]: Simplify 3 into 3 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.043 * [taylor]: Taking taylor expansion of 0 in x 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.045 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 3.045 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.045 * [taylor]: Taking taylor expansion of x in x 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 1 into 1 3.045 * [backup-simplify]: Simplify (* 1 1) into 1 3.045 * [backup-simplify]: Simplify (/ 1 1) into 1 3.045 * [backup-simplify]: Simplify 1 into 1 3.045 * [backup-simplify]: Simplify 3 into 3 3.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 3.047 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 3.048 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [taylor]: Taking taylor expansion of 0 in x 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.051 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.051 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 3.051 * [backup-simplify]: Simplify (+ 0 0) into 0 3.051 * [taylor]: Taking taylor expansion of 0 in x 3.051 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.053 * * * [progress]: simplifying candidates 3.053 * [simplify]: Simplifying: (expm1 (fma 3 (* y y) (pow x 2))) (log1p (fma 3 (* y y) (pow x 2))) (* 3 (* y y)) (log (fma 3 (* y y) (pow x 2))) (exp (fma 3 (* y y) (pow x 2))) (* (cbrt (fma 3 (* y y) (pow x 2))) (cbrt (fma 3 (* y y) (pow x 2)))) (cbrt (fma 3 (* y y) (pow x 2))) (* (* (fma 3 (* y y) (pow x 2)) (fma 3 (* y y) (pow x 2))) (fma 3 (* y y) (pow x 2))) (sqrt (fma 3 (* y y) (pow x 2))) (sqrt (fma 3 (* y y) (pow x 2))) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) 3.053 * * [simplify]: iteration 0: 20 enodes 3.056 * * [simplify]: iteration 1: 38 enodes 3.066 * * [simplify]: iteration 2: 129 enodes 3.117 * * [simplify]: iteration 3: 644 enodes 3.672 * * [simplify]: iteration complete: 5001 enodes 3.672 * * [simplify]: Extracting #0: cost 10 inf + 0 3.673 * * [simplify]: Extracting #1: cost 192 inf + 0 3.678 * * [simplify]: Extracting #2: cost 1624 inf + 173 3.686 * * [simplify]: Extracting #3: cost 1237 inf + 8460 3.695 * * [simplify]: Extracting #4: cost 17 inf + 27517 3.701 * * [simplify]: Extracting #5: cost 0 inf + 27790 3.707 * [simplify]: Simplified to: (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* (* y 3) y) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 3.707 * * * [progress]: adding candidates to table 3.752 * * [progress]: iteration 3 / 4 3.752 * * * [progress]: picking best candidate 3.770 * * * * [pick]: Picked # 3.770 * * * [progress]: localizing error 3.779 * * * [progress]: generating rewritten candidates 3.779 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 3.792 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.793 * * * [progress]: generating series expansions 3.793 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 3.793 * [backup-simplify]: Simplify (* (* y 3) y) into (* 3 (pow y 2)) 3.793 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 3.793 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.793 * [taylor]: Taking taylor expansion of 3 in y 3.793 * [backup-simplify]: Simplify 3 into 3 3.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.793 * [taylor]: Taking taylor expansion of y in y 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.793 * [taylor]: Taking taylor expansion of 3 in y 3.793 * [backup-simplify]: Simplify 3 into 3 3.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.793 * [taylor]: Taking taylor expansion of y in y 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.794 * [backup-simplify]: Simplify (* 1 1) into 1 3.794 * [backup-simplify]: Simplify (* 3 1) into 3 3.794 * [backup-simplify]: Simplify 3 into 3 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.795 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.796 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.797 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.799 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.800 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.802 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 3.803 * [backup-simplify]: Simplify (* (* (/ 1 y) 3) (/ 1 y)) into (/ 3 (pow y 2)) 3.803 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 3.803 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.803 * [taylor]: Taking taylor expansion of 3 in y 3.803 * [backup-simplify]: Simplify 3 into 3 3.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.803 * [taylor]: Taking taylor expansion of y in y 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [backup-simplify]: Simplify (* 1 1) into 1 3.803 * [backup-simplify]: Simplify (/ 3 1) into 3 3.803 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.803 * [taylor]: Taking taylor expansion of 3 in y 3.803 * [backup-simplify]: Simplify 3 into 3 3.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.803 * [taylor]: Taking taylor expansion of y in y 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.804 * [backup-simplify]: Simplify (* 1 1) into 1 3.804 * [backup-simplify]: Simplify (/ 3 1) into 3 3.804 * [backup-simplify]: Simplify 3 into 3 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 3.812 * [backup-simplify]: Simplify (* (* (/ 1 (- y)) 3) (/ 1 (- y))) into (/ 3 (pow y 2)) 3.813 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 3.813 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.813 * [taylor]: Taking taylor expansion of 3 in y 3.813 * [backup-simplify]: Simplify 3 into 3 3.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.813 * [taylor]: Taking taylor expansion of y in y 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify (* 1 1) into 1 3.813 * [backup-simplify]: Simplify (/ 3 1) into 3 3.813 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.813 * [taylor]: Taking taylor expansion of 3 in y 3.813 * [backup-simplify]: Simplify 3 into 3 3.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.814 * [taylor]: Taking taylor expansion of y in y 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify 1 into 1 3.814 * [backup-simplify]: Simplify (* 1 1) into 1 3.814 * [backup-simplify]: Simplify (/ 3 1) into 3 3.814 * [backup-simplify]: Simplify 3 into 3 3.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.824 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 3.826 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.826 * [backup-simplify]: Simplify (fma x x (* (* y 3) y)) into (fma x x (* 3 (pow y 2))) 3.826 * [approximate]: Taking taylor expansion of (fma x x (* 3 (pow y 2))) in (x y) around 0 3.826 * [taylor]: Taking taylor expansion of (fma x x (* 3 (pow y 2))) in y 3.826 * [taylor]: Rewrote expression to (+ (* x x) (* 3 (pow y 2))) 3.826 * [taylor]: Taking taylor expansion of (* x x) in y 3.826 * [taylor]: Taking taylor expansion of x in y 3.826 * [backup-simplify]: Simplify x into x 3.826 * [taylor]: Taking taylor expansion of x in y 3.826 * [backup-simplify]: Simplify x into x 3.826 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.826 * [taylor]: Taking taylor expansion of 3 in y 3.826 * [backup-simplify]: Simplify 3 into 3 3.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.826 * [taylor]: Taking taylor expansion of y in y 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [taylor]: Taking taylor expansion of (fma x x (* 3 (pow y 2))) in x 3.826 * [taylor]: Rewrote expression to (+ (* x x) (* 3 (pow y 2))) 3.826 * [taylor]: Taking taylor expansion of (* x x) in x 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.826 * [taylor]: Taking taylor expansion of 3 in x 3.826 * [backup-simplify]: Simplify 3 into 3 3.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.826 * [taylor]: Taking taylor expansion of y in x 3.826 * [backup-simplify]: Simplify y into y 3.826 * [taylor]: Taking taylor expansion of (fma x x (* 3 (pow y 2))) in x 3.826 * [taylor]: Rewrote expression to (+ (* x x) (* 3 (pow y 2))) 3.826 * [taylor]: Taking taylor expansion of (* x x) in x 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 1 into 1 3.827 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.827 * [taylor]: Taking taylor expansion of 3 in x 3.827 * [backup-simplify]: Simplify 3 into 3 3.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.827 * [taylor]: Taking taylor expansion of y in x 3.827 * [backup-simplify]: Simplify y into y 3.827 * [backup-simplify]: Simplify (* 0 0) into 0 3.827 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.827 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 3.827 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 3.827 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.827 * [taylor]: Taking taylor expansion of 3 in y 3.827 * [backup-simplify]: Simplify 3 into 3 3.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.827 * [taylor]: Taking taylor expansion of y in y 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 1 into 1 3.828 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.828 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.828 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 3.828 * [backup-simplify]: Simplify (+ 0 0) into 0 3.828 * [taylor]: Taking taylor expansion of 0 in y 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.829 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.830 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.830 * [backup-simplify]: Simplify (+ 1 0) into 1 3.830 * [taylor]: Taking taylor expansion of 1 in y 3.830 * [backup-simplify]: Simplify 1 into 1 3.830 * [backup-simplify]: Simplify 1 into 1 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify (* 1 1) into 1 3.831 * [backup-simplify]: Simplify (* 3 1) into 3 3.831 * [backup-simplify]: Simplify 3 into 3 3.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.832 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.833 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.833 * [backup-simplify]: Simplify (+ 0 0) into 0 3.833 * [taylor]: Taking taylor expansion of 0 in y 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.834 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.834 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.836 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.838 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [taylor]: Taking taylor expansion of 0 in y 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.839 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (* (/ 1 y) 3) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 3 (pow y 2))) 3.839 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 3 (pow y 2))) in (x y) around 0 3.839 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 3 (pow y 2))) in y 3.839 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 3 (pow y 2))) 3.839 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.839 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.839 * [taylor]: Taking taylor expansion of x in y 3.839 * [backup-simplify]: Simplify x into x 3.839 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.839 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.839 * [taylor]: Taking taylor expansion of x in y 3.839 * [backup-simplify]: Simplify x into x 3.839 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.839 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.839 * [taylor]: Taking taylor expansion of 3 in y 3.839 * [backup-simplify]: Simplify 3 into 3 3.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.839 * [taylor]: Taking taylor expansion of y in y 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.840 * [backup-simplify]: Simplify (* 1 1) into 1 3.840 * [backup-simplify]: Simplify (/ 3 1) into 3 3.840 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 3 (pow y 2))) in x 3.840 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 3 (pow y 2))) 3.840 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.840 * [taylor]: Taking taylor expansion of x in x 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (/ 1 1) into 1 3.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.841 * [taylor]: Taking taylor expansion of x in x 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (/ 1 1) into 1 3.841 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in x 3.841 * [taylor]: Taking taylor expansion of 3 in x 3.841 * [backup-simplify]: Simplify 3 into 3 3.841 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.841 * [taylor]: Taking taylor expansion of y in x 3.841 * [backup-simplify]: Simplify y into y 3.841 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.841 * [backup-simplify]: Simplify (/ 3 (pow y 2)) into (/ 3 (pow y 2)) 3.841 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 3 (pow y 2))) in x 3.842 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 3 (pow y 2))) 3.842 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.842 * [taylor]: Taking taylor expansion of x in x 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (/ 1 1) into 1 3.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.842 * [taylor]: Taking taylor expansion of x in x 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (/ 1 1) into 1 3.842 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in x 3.842 * [taylor]: Taking taylor expansion of 3 in x 3.843 * [backup-simplify]: Simplify 3 into 3 3.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.843 * [taylor]: Taking taylor expansion of y in x 3.843 * [backup-simplify]: Simplify y into y 3.843 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.843 * [backup-simplify]: Simplify (/ 3 (pow y 2)) into (/ 3 (pow y 2)) 3.843 * [backup-simplify]: Simplify (* 1 1) into 1 3.844 * [backup-simplify]: Simplify (+ 1 0) into 1 3.844 * [taylor]: Taking taylor expansion of 1 in y 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.846 * [backup-simplify]: Simplify (+ 0 0) into 0 3.846 * [taylor]: Taking taylor expansion of 0 in y 3.846 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.848 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 3.848 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.848 * [taylor]: Taking taylor expansion of 3 in y 3.848 * [backup-simplify]: Simplify 3 into 3 3.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.849 * [taylor]: Taking taylor expansion of y in y 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 1 into 1 3.849 * [backup-simplify]: Simplify (* 1 1) into 1 3.849 * [backup-simplify]: Simplify (/ 1 1) into 1 3.850 * [backup-simplify]: Simplify (* 3 1) into 3 3.850 * [backup-simplify]: Simplify 3 into 3 3.850 * [backup-simplify]: Simplify 1 into 1 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.853 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.853 * [backup-simplify]: Simplify (+ 0 0) into 0 3.853 * [taylor]: Taking taylor expansion of 0 in y 3.853 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.858 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.859 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.859 * [backup-simplify]: Simplify (+ 0 0) into 0 3.859 * [taylor]: Taking taylor expansion of 0 in y 3.859 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.862 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (* (/ 1 (- y)) 3) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 3 (pow y 2))) 3.862 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 3 (pow y 2))) in (x y) around 0 3.862 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 3 (pow y 2))) in y 3.863 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 3 (pow y 2))) 3.863 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.863 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.863 * [taylor]: Taking taylor expansion of -1 in y 3.863 * [backup-simplify]: Simplify -1 into -1 3.863 * [taylor]: Taking taylor expansion of x in y 3.863 * [backup-simplify]: Simplify x into x 3.863 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.863 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.863 * [taylor]: Taking taylor expansion of -1 in y 3.863 * [backup-simplify]: Simplify -1 into -1 3.863 * [taylor]: Taking taylor expansion of x in y 3.863 * [backup-simplify]: Simplify x into x 3.863 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.863 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.863 * [taylor]: Taking taylor expansion of 3 in y 3.863 * [backup-simplify]: Simplify 3 into 3 3.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.863 * [taylor]: Taking taylor expansion of y in y 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (* 1 1) into 1 3.864 * [backup-simplify]: Simplify (/ 3 1) into 3 3.864 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 3 (pow y 2))) in x 3.864 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 3 (pow y 2))) 3.864 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.864 * [taylor]: Taking taylor expansion of -1 in x 3.864 * [backup-simplify]: Simplify -1 into -1 3.864 * [taylor]: Taking taylor expansion of x in x 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (/ -1 1) into -1 3.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.865 * [taylor]: Taking taylor expansion of -1 in x 3.865 * [backup-simplify]: Simplify -1 into -1 3.865 * [taylor]: Taking taylor expansion of x in x 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [backup-simplify]: Simplify (/ -1 1) into -1 3.865 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in x 3.865 * [taylor]: Taking taylor expansion of 3 in x 3.865 * [backup-simplify]: Simplify 3 into 3 3.865 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.865 * [taylor]: Taking taylor expansion of y in x 3.865 * [backup-simplify]: Simplify y into y 3.865 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.865 * [backup-simplify]: Simplify (/ 3 (pow y 2)) into (/ 3 (pow y 2)) 3.865 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 3 (pow y 2))) in x 3.865 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 3 (pow y 2))) 3.866 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.866 * [taylor]: Taking taylor expansion of -1 in x 3.866 * [backup-simplify]: Simplify -1 into -1 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (/ -1 1) into -1 3.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.866 * [taylor]: Taking taylor expansion of -1 in x 3.866 * [backup-simplify]: Simplify -1 into -1 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ -1 1) into -1 3.867 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in x 3.867 * [taylor]: Taking taylor expansion of 3 in x 3.867 * [backup-simplify]: Simplify 3 into 3 3.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.867 * [taylor]: Taking taylor expansion of y in x 3.867 * [backup-simplify]: Simplify y into y 3.867 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.867 * [backup-simplify]: Simplify (/ 3 (pow y 2)) into (/ 3 (pow y 2)) 3.867 * [backup-simplify]: Simplify (* -1 -1) into 1 3.868 * [backup-simplify]: Simplify (+ 1 0) into 1 3.868 * [taylor]: Taking taylor expansion of 1 in y 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.870 * [backup-simplify]: Simplify (+ 0 0) into 0 3.870 * [taylor]: Taking taylor expansion of 0 in y 3.870 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.873 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 3.873 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.873 * [taylor]: Taking taylor expansion of 3 in y 3.873 * [backup-simplify]: Simplify 3 into 3 3.873 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.873 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.873 * [taylor]: Taking taylor expansion of y in y 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (* 1 1) into 1 3.874 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [backup-simplify]: Simplify (* 3 1) into 3 3.874 * [backup-simplify]: Simplify 3 into 3 3.874 * [backup-simplify]: Simplify 1 into 1 3.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.877 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.877 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.878 * [backup-simplify]: Simplify (+ 0 0) into 0 3.878 * [taylor]: Taking taylor expansion of 0 in y 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.883 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.884 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.884 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [taylor]: Taking taylor expansion of 0 in y 3.884 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.887 * * * [progress]: simplifying candidates 3.888 * [simplify]: Simplifying: (expm1 (* (* y 3) y)) (log1p (* (* y 3) y)) (* (* y 3) y) (* (* y 3) y) (+ (+ (log y) (log 3)) (log y)) (+ (log (* y 3)) (log y)) (log (* (* y 3) y)) (exp (* (* y 3) y)) (* (* (* (* y y) y) (* (* 3 3) 3)) (* (* y y) y)) (* (* (* (* y 3) (* y 3)) (* y 3)) (* (* y y) y)) (* (cbrt (* (* y 3) y)) (cbrt (* (* y 3) y))) (cbrt (* (* y 3) y)) (* (* (* (* y 3) y) (* (* y 3) y)) (* (* y 3) y)) (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)) (* (* y 3) (* (cbrt y) (cbrt y))) (* (* y 3) (sqrt y)) (* (* y 3) 1) (* 3 y) (expm1 (fma x x (* (* y 3) y))) (log1p (fma x x (* (* y 3) y))) (* x x) (log (fma x x (* (* y 3) y))) (exp (fma x x (* (* y 3) y))) (* (cbrt (fma x x (* (* y 3) y))) (cbrt (fma x x (* (* y 3) y)))) (cbrt (fma x x (* (* y 3) y))) (* (* (fma x x (* (* y 3) y)) (fma x x (* (* y 3) y))) (fma x x (* (* y 3) y))) (sqrt (fma x x (* (* y 3) y))) (sqrt (fma x x (* (* y 3) y))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) 3.888 * * [simplify]: iteration 0: 53 enodes 3.905 * * [simplify]: iteration 1: 122 enodes 4.007 * * [simplify]: iteration 2: 681 enodes 4.399 * * [simplify]: iteration complete: 5000 enodes 4.399 * * [simplify]: Extracting #0: cost 22 inf + 0 4.401 * * [simplify]: Extracting #1: cost 527 inf + 0 4.405 * * [simplify]: Extracting #2: cost 1977 inf + 304 4.412 * * [simplify]: Extracting #3: cost 620 inf + 8589 4.418 * * [simplify]: Extracting #4: cost 16 inf + 13358 4.424 * * [simplify]: Extracting #5: cost 0 inf + 13289 4.434 * * [simplify]: Extracting #6: cost 0 inf + 13237 4.441 * [simplify]: Simplified to: (expm1 (* (* y 3) y)) (log1p (* (* y 3) y)) (* (* y 3) y) (* (* y 3) y) (log (* (* y 3) y)) (log (* (* y 3) y)) (log (* (* y 3) y)) (pow (exp y) (* y 3)) (* (pow y (* 2 3)) 27) (* (pow y (* 2 3)) 27) (* (cbrt (* (* y 3) y)) (cbrt (* (* y 3) y))) (cbrt (* (* y 3) y)) (* (pow y (* 2 3)) 27) (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)) (* (* (* (cbrt y) (cbrt y)) 3) y) (* y (* (sqrt y) 3)) (* y 3) (* y 3) (expm1 (fma (* y y) 3 (* x x))) (log1p (fma (* y y) 3 (* x x))) (* x x) (log (fma (* y y) 3 (* x x))) (exp (fma (* y y) 3 (* x x))) (* (cbrt (fma (* y y) 3 (* x x))) (cbrt (fma (* y y) 3 (* x x)))) (cbrt (fma (* y y) 3 (* x x))) (pow (fma (* y y) 3 (* x x)) 3) (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))) (* (* y 3) y) (* (* y 3) y) (* (* y 3) y) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) 4.441 * * * [progress]: adding candidates to table 4.543 * * [progress]: iteration 4 / 4 4.543 * * * [progress]: picking best candidate 4.569 * * * * [pick]: Picked # 4.569 * * * [progress]: localizing error 4.608 * * * [progress]: generating rewritten candidates 4.608 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.669 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.669 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.702 * * * [progress]: generating series expansions 4.702 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.702 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (* 2 (pow y 2)) (pow x 2))) 4.703 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in (x y) around 0 4.703 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 4.703 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 4.703 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 4.703 * [taylor]: Taking taylor expansion of 2 in y 4.703 * [backup-simplify]: Simplify 2 into 2 4.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.703 * [taylor]: Taking taylor expansion of y in y 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.703 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.703 * [taylor]: Taking taylor expansion of x in y 4.703 * [backup-simplify]: Simplify x into x 4.703 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.703 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.703 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.703 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.704 * [backup-simplify]: Simplify (+ 0 0) into 0 4.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.704 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 4.704 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 4.704 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.704 * [taylor]: Taking taylor expansion of 2 in x 4.705 * [backup-simplify]: Simplify 2 into 2 4.705 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.705 * [taylor]: Taking taylor expansion of y in x 4.705 * [backup-simplify]: Simplify y into y 4.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.705 * [taylor]: Taking taylor expansion of x in x 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 1 into 1 4.705 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.705 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.705 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 4.705 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.705 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.706 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.707 * [backup-simplify]: Simplify (+ 0 0) into 0 4.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.707 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 4.707 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 4.707 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.707 * [taylor]: Taking taylor expansion of 2 in x 4.707 * [backup-simplify]: Simplify 2 into 2 4.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.707 * [taylor]: Taking taylor expansion of y in x 4.707 * [backup-simplify]: Simplify y into y 4.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.707 * [taylor]: Taking taylor expansion of x in x 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.707 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.708 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 4.708 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.708 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.709 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.709 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.709 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 4.709 * [taylor]: Taking taylor expansion of (sqrt 2) in y 4.709 * [taylor]: Taking taylor expansion of 2 in y 4.709 * [backup-simplify]: Simplify 2 into 2 4.710 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.711 * [taylor]: Taking taylor expansion of y in y 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [taylor]: Taking taylor expansion of 0 in y 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 4.714 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.715 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.716 * [backup-simplify]: Simplify (* 1 1) into 1 4.716 * [backup-simplify]: Simplify (+ 0 1) into 1 4.718 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 4.718 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 4.718 * [taylor]: Taking taylor expansion of 1/2 in y 4.718 * [backup-simplify]: Simplify 1/2 into 1/2 4.718 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 4.718 * [taylor]: Taking taylor expansion of (sqrt 2) in y 4.718 * [taylor]: Taking taylor expansion of 2 in y 4.718 * [backup-simplify]: Simplify 2 into 2 4.718 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.719 * [taylor]: Taking taylor expansion of y in y 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.720 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.722 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 4.723 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 4.724 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 4.725 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 4.726 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 4.729 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.732 * [backup-simplify]: Simplify (+ 0 0) into 0 4.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 4.732 * [taylor]: Taking taylor expansion of 0 in y 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 4.734 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.734 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 4.734 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 4.735 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.735 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 4.735 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.735 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.735 * [taylor]: Taking taylor expansion of 2 in y 4.735 * [backup-simplify]: Simplify 2 into 2 4.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.735 * [taylor]: Taking taylor expansion of y in y 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.736 * [backup-simplify]: Simplify (* 1 1) into 1 4.736 * [backup-simplify]: Simplify (/ 1 1) into 1 4.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.736 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.736 * [taylor]: Taking taylor expansion of x in y 4.736 * [backup-simplify]: Simplify x into x 4.736 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.736 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.737 * [backup-simplify]: Simplify (* 2 1) into 2 4.737 * [backup-simplify]: Simplify (+ 2 0) into 2 4.737 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.738 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.739 * [backup-simplify]: Simplify (+ 0 0) into 0 4.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.739 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.739 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.739 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.739 * [taylor]: Taking taylor expansion of 2 in x 4.739 * [backup-simplify]: Simplify 2 into 2 4.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.739 * [taylor]: Taking taylor expansion of y in x 4.739 * [backup-simplify]: Simplify y into y 4.739 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.739 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.739 * [taylor]: Taking taylor expansion of x in x 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 1 into 1 4.740 * [backup-simplify]: Simplify (* 1 1) into 1 4.740 * [backup-simplify]: Simplify (/ 1 1) into 1 4.740 * [backup-simplify]: Simplify (+ 0 1) into 1 4.740 * [backup-simplify]: Simplify (sqrt 1) into 1 4.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.741 * [backup-simplify]: Simplify (+ 0 0) into 0 4.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.742 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.742 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.742 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.742 * [taylor]: Taking taylor expansion of 2 in x 4.742 * [backup-simplify]: Simplify 2 into 2 4.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.742 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.742 * [taylor]: Taking taylor expansion of y in x 4.742 * [backup-simplify]: Simplify y into y 4.742 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.742 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.742 * [taylor]: Taking taylor expansion of x in x 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (* 1 1) into 1 4.743 * [backup-simplify]: Simplify (/ 1 1) into 1 4.743 * [backup-simplify]: Simplify (+ 0 1) into 1 4.743 * [backup-simplify]: Simplify (sqrt 1) into 1 4.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.744 * [backup-simplify]: Simplify (+ 0 0) into 0 4.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.745 * [taylor]: Taking taylor expansion of 1 in y 4.745 * [backup-simplify]: Simplify 1 into 1 4.745 * [taylor]: Taking taylor expansion of 0 in y 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 1 into 1 4.745 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.748 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 4.749 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.749 * [taylor]: Taking taylor expansion of y in y 4.749 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify 1 into 1 4.749 * [backup-simplify]: Simplify (* 1 1) into 1 4.749 * [backup-simplify]: Simplify (/ 1 1) into 1 4.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.751 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (+ 0 0) into 0 4.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.753 * [taylor]: Taking taylor expansion of 0 in y 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.754 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.754 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 4.754 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.754 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.754 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.754 * [taylor]: Taking taylor expansion of 2 in y 4.754 * [backup-simplify]: Simplify 2 into 2 4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.754 * [taylor]: Taking taylor expansion of y in y 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (* 1 1) into 1 4.755 * [backup-simplify]: Simplify (/ 1 1) into 1 4.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.755 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.755 * [taylor]: Taking taylor expansion of x in y 4.755 * [backup-simplify]: Simplify x into x 4.755 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.755 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.755 * [backup-simplify]: Simplify (* 2 1) into 2 4.755 * [backup-simplify]: Simplify (+ 2 0) into 2 4.756 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.757 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.757 * [backup-simplify]: Simplify (+ 0 0) into 0 4.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.758 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.758 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.758 * [taylor]: Taking taylor expansion of 2 in x 4.758 * [backup-simplify]: Simplify 2 into 2 4.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.758 * [taylor]: Taking taylor expansion of y in x 4.758 * [backup-simplify]: Simplify y into y 4.758 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.758 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.758 * [taylor]: Taking taylor expansion of x in x 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [backup-simplify]: Simplify (* 1 1) into 1 4.758 * [backup-simplify]: Simplify (/ 1 1) into 1 4.759 * [backup-simplify]: Simplify (+ 0 1) into 1 4.759 * [backup-simplify]: Simplify (sqrt 1) into 1 4.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.760 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.761 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.761 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.761 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.761 * [taylor]: Taking taylor expansion of 2 in x 4.761 * [backup-simplify]: Simplify 2 into 2 4.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.761 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.761 * [taylor]: Taking taylor expansion of y in x 4.761 * [backup-simplify]: Simplify y into y 4.761 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.761 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.761 * [taylor]: Taking taylor expansion of x in x 4.761 * [backup-simplify]: Simplify 0 into 0 4.761 * [backup-simplify]: Simplify 1 into 1 4.761 * [backup-simplify]: Simplify (* 1 1) into 1 4.761 * [backup-simplify]: Simplify (/ 1 1) into 1 4.762 * [backup-simplify]: Simplify (+ 0 1) into 1 4.762 * [backup-simplify]: Simplify (sqrt 1) into 1 4.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.763 * [backup-simplify]: Simplify (+ 0 0) into 0 4.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.763 * [taylor]: Taking taylor expansion of 1 in y 4.763 * [backup-simplify]: Simplify 1 into 1 4.763 * [taylor]: Taking taylor expansion of 0 in y 4.763 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify 1 into 1 4.764 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 4.766 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.766 * [taylor]: Taking taylor expansion of y in y 4.766 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify 1 into 1 4.766 * [backup-simplify]: Simplify (* 1 1) into 1 4.766 * [backup-simplify]: Simplify (/ 1 1) into 1 4.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.768 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.769 * [backup-simplify]: Simplify (+ 0 0) into 0 4.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.770 * [taylor]: Taking taylor expansion of 0 in y 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.771 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.771 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (* 2 (pow y 2)) (pow x 2))) 4.771 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in (x y) around 0 4.771 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 4.771 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 4.771 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 4.771 * [taylor]: Taking taylor expansion of 2 in y 4.771 * [backup-simplify]: Simplify 2 into 2 4.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.771 * [taylor]: Taking taylor expansion of y in y 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.771 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.771 * [taylor]: Taking taylor expansion of x in y 4.771 * [backup-simplify]: Simplify x into x 4.771 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.771 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.772 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.772 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.772 * [backup-simplify]: Simplify (+ 0 0) into 0 4.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.772 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 4.772 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 4.772 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.772 * [taylor]: Taking taylor expansion of 2 in x 4.772 * [backup-simplify]: Simplify 2 into 2 4.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.772 * [taylor]: Taking taylor expansion of y in x 4.772 * [backup-simplify]: Simplify y into y 4.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.772 * [taylor]: Taking taylor expansion of x in x 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.772 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.772 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 4.772 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.772 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.773 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.773 * [backup-simplify]: Simplify (+ 0 0) into 0 4.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.773 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 4.773 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 4.773 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.773 * [taylor]: Taking taylor expansion of 2 in x 4.773 * [backup-simplify]: Simplify 2 into 2 4.773 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.773 * [taylor]: Taking taylor expansion of y in x 4.773 * [backup-simplify]: Simplify y into y 4.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.773 * [taylor]: Taking taylor expansion of x in x 4.773 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.774 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.774 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 4.774 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.774 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.774 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.774 * [backup-simplify]: Simplify (+ 0 0) into 0 4.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.775 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 4.775 * [taylor]: Taking taylor expansion of (sqrt 2) in y 4.775 * [taylor]: Taking taylor expansion of 2 in y 4.775 * [backup-simplify]: Simplify 2 into 2 4.775 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.775 * [taylor]: Taking taylor expansion of y in y 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.776 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [taylor]: Taking taylor expansion of 0 in y 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 4.777 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.778 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.779 * [backup-simplify]: Simplify (* 1 1) into 1 4.779 * [backup-simplify]: Simplify (+ 0 1) into 1 4.780 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 4.780 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 4.780 * [taylor]: Taking taylor expansion of 1/2 in y 4.780 * [backup-simplify]: Simplify 1/2 into 1/2 4.780 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 4.780 * [taylor]: Taking taylor expansion of (sqrt 2) in y 4.780 * [taylor]: Taking taylor expansion of 2 in y 4.780 * [backup-simplify]: Simplify 2 into 2 4.780 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.780 * [taylor]: Taking taylor expansion of y in y 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.782 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 4.783 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 4.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 4.785 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 4.786 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 4.786 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 4.789 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 4.789 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.792 * [backup-simplify]: Simplify (+ 0 0) into 0 4.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 4.793 * [taylor]: Taking taylor expansion of 0 in y 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 4.796 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.797 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 4.798 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.798 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 4.798 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.798 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.799 * [taylor]: Taking taylor expansion of 2 in y 4.799 * [backup-simplify]: Simplify 2 into 2 4.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.799 * [taylor]: Taking taylor expansion of y in y 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [backup-simplify]: Simplify (* 1 1) into 1 4.799 * [backup-simplify]: Simplify (/ 1 1) into 1 4.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.799 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.800 * [taylor]: Taking taylor expansion of x in y 4.800 * [backup-simplify]: Simplify x into x 4.800 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.800 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.800 * [backup-simplify]: Simplify (* 2 1) into 2 4.801 * [backup-simplify]: Simplify (+ 2 0) into 2 4.801 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.804 * [backup-simplify]: Simplify (+ 0 0) into 0 4.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.804 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.804 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.804 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.805 * [taylor]: Taking taylor expansion of 2 in x 4.805 * [backup-simplify]: Simplify 2 into 2 4.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.805 * [taylor]: Taking taylor expansion of y in x 4.805 * [backup-simplify]: Simplify y into y 4.805 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.805 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.805 * [taylor]: Taking taylor expansion of x in x 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 1 into 1 4.805 * [backup-simplify]: Simplify (* 1 1) into 1 4.806 * [backup-simplify]: Simplify (/ 1 1) into 1 4.806 * [backup-simplify]: Simplify (+ 0 1) into 1 4.807 * [backup-simplify]: Simplify (sqrt 1) into 1 4.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.808 * [backup-simplify]: Simplify (+ 0 0) into 0 4.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.809 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.809 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.809 * [taylor]: Taking taylor expansion of 2 in x 4.809 * [backup-simplify]: Simplify 2 into 2 4.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.809 * [taylor]: Taking taylor expansion of y in x 4.809 * [backup-simplify]: Simplify y into y 4.810 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.810 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.810 * [taylor]: Taking taylor expansion of x in x 4.810 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify 1 into 1 4.810 * [backup-simplify]: Simplify (* 1 1) into 1 4.811 * [backup-simplify]: Simplify (/ 1 1) into 1 4.811 * [backup-simplify]: Simplify (+ 0 1) into 1 4.811 * [backup-simplify]: Simplify (sqrt 1) into 1 4.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.813 * [backup-simplify]: Simplify (+ 0 0) into 0 4.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.814 * [taylor]: Taking taylor expansion of 1 in y 4.814 * [backup-simplify]: Simplify 1 into 1 4.814 * [taylor]: Taking taylor expansion of 0 in y 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 1 into 1 4.815 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.816 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 4.817 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.817 * [taylor]: Taking taylor expansion of y in y 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.817 * [backup-simplify]: Simplify (* 1 1) into 1 4.817 * [backup-simplify]: Simplify (/ 1 1) into 1 4.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.819 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.821 * [backup-simplify]: Simplify (+ 0 0) into 0 4.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.821 * [taylor]: Taking taylor expansion of 0 in y 4.821 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.823 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.823 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 4.823 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.823 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.823 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.823 * [taylor]: Taking taylor expansion of 2 in y 4.823 * [backup-simplify]: Simplify 2 into 2 4.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.823 * [taylor]: Taking taylor expansion of y in y 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify 1 into 1 4.823 * [backup-simplify]: Simplify (* 1 1) into 1 4.823 * [backup-simplify]: Simplify (/ 1 1) into 1 4.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.823 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.823 * [taylor]: Taking taylor expansion of x in y 4.823 * [backup-simplify]: Simplify x into x 4.823 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.824 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.824 * [backup-simplify]: Simplify (* 2 1) into 2 4.824 * [backup-simplify]: Simplify (+ 2 0) into 2 4.824 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.826 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.826 * [backup-simplify]: Simplify (+ 0 0) into 0 4.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.827 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.827 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.827 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.827 * [taylor]: Taking taylor expansion of 2 in x 4.827 * [backup-simplify]: Simplify 2 into 2 4.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.827 * [taylor]: Taking taylor expansion of y in x 4.827 * [backup-simplify]: Simplify y into y 4.827 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.827 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.827 * [taylor]: Taking taylor expansion of x in x 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (* 1 1) into 1 4.828 * [backup-simplify]: Simplify (/ 1 1) into 1 4.828 * [backup-simplify]: Simplify (+ 0 1) into 1 4.828 * [backup-simplify]: Simplify (sqrt 1) into 1 4.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.830 * [backup-simplify]: Simplify (+ 0 0) into 0 4.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.830 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.830 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.830 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.830 * [taylor]: Taking taylor expansion of 2 in x 4.830 * [backup-simplify]: Simplify 2 into 2 4.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.830 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.830 * [taylor]: Taking taylor expansion of y in x 4.830 * [backup-simplify]: Simplify y into y 4.830 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.830 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.831 * [taylor]: Taking taylor expansion of x in x 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 1 into 1 4.831 * [backup-simplify]: Simplify (* 1 1) into 1 4.831 * [backup-simplify]: Simplify (/ 1 1) into 1 4.831 * [backup-simplify]: Simplify (+ 0 1) into 1 4.832 * [backup-simplify]: Simplify (sqrt 1) into 1 4.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.833 * [backup-simplify]: Simplify (+ 0 0) into 0 4.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.833 * [taylor]: Taking taylor expansion of 1 in y 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [taylor]: Taking taylor expansion of 0 in y 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 1 into 1 4.834 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.835 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 4.836 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.836 * [taylor]: Taking taylor expansion of y in y 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [backup-simplify]: Simplify (* 1 1) into 1 4.836 * [backup-simplify]: Simplify (/ 1 1) into 1 4.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.838 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify (+ 0 0) into 0 4.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.840 * [taylor]: Taking taylor expansion of 0 in y 4.840 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.842 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.842 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) into (fma (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (pow y 2)) 4.842 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (pow y 2)) in (x y) around 0 4.842 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (pow y 2)) in y 4.842 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) (pow y 2)) 4.842 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) in y 4.842 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 4.842 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 4.842 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 4.842 * [taylor]: Taking taylor expansion of 2 in y 4.842 * [backup-simplify]: Simplify 2 into 2 4.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.842 * [taylor]: Taking taylor expansion of y in y 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 1 into 1 4.842 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.842 * [taylor]: Taking taylor expansion of x in y 4.842 * [backup-simplify]: Simplify x into x 4.842 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.843 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.843 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.843 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.843 * [backup-simplify]: Simplify (+ 0 0) into 0 4.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.843 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 4.843 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 4.843 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 4.843 * [taylor]: Taking taylor expansion of 2 in y 4.843 * [backup-simplify]: Simplify 2 into 2 4.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.843 * [taylor]: Taking taylor expansion of y in y 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.843 * [taylor]: Taking taylor expansion of x in y 4.843 * [backup-simplify]: Simplify x into x 4.843 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.844 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.844 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.844 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.844 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.844 * [taylor]: Taking taylor expansion of y in y 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify 1 into 1 4.844 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (pow y 2)) in x 4.845 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) (pow y 2)) 4.845 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) in x 4.845 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 4.845 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 4.845 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.845 * [taylor]: Taking taylor expansion of 2 in x 4.845 * [backup-simplify]: Simplify 2 into 2 4.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.845 * [taylor]: Taking taylor expansion of y in x 4.845 * [backup-simplify]: Simplify y into y 4.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.845 * [taylor]: Taking taylor expansion of x in x 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 1 into 1 4.845 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.845 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.845 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 4.845 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.845 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.846 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.846 * [backup-simplify]: Simplify (+ 0 0) into 0 4.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.846 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 4.846 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 4.846 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.846 * [taylor]: Taking taylor expansion of 2 in x 4.846 * [backup-simplify]: Simplify 2 into 2 4.846 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.846 * [taylor]: Taking taylor expansion of y in x 4.846 * [backup-simplify]: Simplify y into y 4.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.846 * [taylor]: Taking taylor expansion of x in x 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify 1 into 1 4.846 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.847 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.847 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 4.847 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.847 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.847 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.847 * [backup-simplify]: Simplify (+ 0 0) into 0 4.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.848 * [taylor]: Taking taylor expansion of y in x 4.848 * [backup-simplify]: Simplify y into y 4.848 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (pow y 2)) in x 4.848 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) (pow y 2)) 4.848 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) in x 4.848 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 4.848 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 4.848 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.848 * [taylor]: Taking taylor expansion of 2 in x 4.848 * [backup-simplify]: Simplify 2 into 2 4.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.848 * [taylor]: Taking taylor expansion of y in x 4.848 * [backup-simplify]: Simplify y into y 4.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.848 * [taylor]: Taking taylor expansion of x in x 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.848 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.848 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 4.848 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.848 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.849 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.849 * [backup-simplify]: Simplify (+ 0 0) into 0 4.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.849 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 4.849 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 4.849 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.849 * [taylor]: Taking taylor expansion of 2 in x 4.849 * [backup-simplify]: Simplify 2 into 2 4.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.849 * [taylor]: Taking taylor expansion of y in x 4.849 * [backup-simplify]: Simplify y into y 4.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.849 * [taylor]: Taking taylor expansion of x in x 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.850 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.850 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 4.850 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.850 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.850 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.850 * [backup-simplify]: Simplify (+ 0 0) into 0 4.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.851 * [taylor]: Taking taylor expansion of y in x 4.851 * [backup-simplify]: Simplify y into y 4.851 * [backup-simplify]: Simplify (* (* (sqrt 2) y) (* (sqrt 2) y)) into (* (pow (sqrt 2) 2) (pow y 2)) 4.851 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.852 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) (pow y 2)) (pow y 2)) into (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) 4.852 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 4.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.852 * [taylor]: Taking taylor expansion of y in y 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 1 into 1 4.852 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 4.852 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 4.852 * [taylor]: Taking taylor expansion of (sqrt 2) in y 4.852 * [taylor]: Taking taylor expansion of 2 in y 4.852 * [backup-simplify]: Simplify 2 into 2 4.853 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.853 * [taylor]: Taking taylor expansion of y in y 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.854 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) 0) (* 0 (* (sqrt 2) y))) into 0 4.854 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.854 * [backup-simplify]: Simplify (+ 0 0) into 0 4.854 * [taylor]: Taking taylor expansion of 0 in y 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.855 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.855 * [backup-simplify]: Simplify (* 1 1) into 1 4.856 * [backup-simplify]: Simplify (+ 0 1) into 1 4.858 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 4.859 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.860 * [backup-simplify]: Simplify (* 1 1) into 1 4.860 * [backup-simplify]: Simplify (+ 0 1) into 1 4.861 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 4.862 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) (/ 1/2 (* (sqrt 2) y))) (+ (* 0 0) (* (/ 1/2 (* (sqrt 2) y)) (* (sqrt 2) y)))) into 1 4.862 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.863 * [backup-simplify]: Simplify (+ 1 0) into 1 4.863 * [taylor]: Taking taylor expansion of 1 in y 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (* 1 1) into 1 4.864 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 4.864 * [backup-simplify]: Simplify (* 1 1) into 1 4.865 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) 1) into (pow (sqrt 2) 2) 4.866 * [backup-simplify]: Simplify (+ 1 (pow (sqrt 2) 2)) into (+ (pow (sqrt 2) 2) 1) 4.867 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 4.868 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.869 * [backup-simplify]: Simplify (+ 0 0) into 0 4.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 4.871 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.872 * [backup-simplify]: Simplify (+ 0 0) into 0 4.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 4.874 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) 0) (+ (* 0 (/ 1/2 (* (sqrt 2) y))) (+ (* (/ 1/2 (* (sqrt 2) y)) 0) (* 0 (* (sqrt 2) y))))) into 0 4.874 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.874 * [backup-simplify]: Simplify (+ 0 0) into 0 4.874 * [taylor]: Taking taylor expansion of 0 in y 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.876 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 4.876 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 1)) into 0 4.877 * [backup-simplify]: Simplify (+ 0 0) into 0 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.879 * [backup-simplify]: Simplify (+ 0 0) into 0 4.880 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (sqrt 2) y)) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) y))) into (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) 4.881 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.883 * [backup-simplify]: Simplify (+ 0 0) into 0 4.884 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (sqrt 2) y)) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) y))) into (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) 4.887 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3)))) (+ (* 0 0) (+ (* (/ 1/2 (* (sqrt 2) y)) (/ 1/2 (* (sqrt 2) y))) (+ (* 0 0) (* (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) (* (sqrt 2) y)))))) into 0 4.888 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.888 * [backup-simplify]: Simplify (+ 0 0) into 0 4.888 * [taylor]: Taking taylor expansion of 0 in y 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify (+ (* (+ (pow (sqrt 2) 2) 1) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (+ (pow x 2) (* (pow (sqrt 2) 2) (pow y 2)))) 4.890 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (* (/ 1 y) (/ 1 y))) into (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) 4.890 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in (x y) around 0 4.890 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in y 4.890 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 4.890 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in y 4.890 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.890 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.890 * [taylor]: Taking taylor expansion of 2 in y 4.890 * [backup-simplify]: Simplify 2 into 2 4.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.890 * [taylor]: Taking taylor expansion of y in y 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (* 1 1) into 1 4.891 * [backup-simplify]: Simplify (/ 1 1) into 1 4.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.891 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.891 * [taylor]: Taking taylor expansion of x in y 4.891 * [backup-simplify]: Simplify x into x 4.891 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.891 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.891 * [backup-simplify]: Simplify (* 2 1) into 2 4.892 * [backup-simplify]: Simplify (+ 2 0) into 2 4.892 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.893 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.893 * [backup-simplify]: Simplify (+ 0 0) into 0 4.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.894 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.894 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.894 * [taylor]: Taking taylor expansion of 2 in y 4.894 * [backup-simplify]: Simplify 2 into 2 4.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.894 * [taylor]: Taking taylor expansion of y in y 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (* 1 1) into 1 4.894 * [backup-simplify]: Simplify (/ 1 1) into 1 4.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.894 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.894 * [taylor]: Taking taylor expansion of x in y 4.894 * [backup-simplify]: Simplify x into x 4.894 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.895 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.895 * [backup-simplify]: Simplify (* 2 1) into 2 4.895 * [backup-simplify]: Simplify (+ 2 0) into 2 4.895 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.897 * [backup-simplify]: Simplify (+ 0 0) into 0 4.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.898 * [taylor]: Taking taylor expansion of y in y 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (* 1 1) into 1 4.898 * [backup-simplify]: Simplify (/ 1 1) into 1 4.898 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in x 4.898 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 4.898 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in x 4.898 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.898 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.898 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.898 * [taylor]: Taking taylor expansion of 2 in x 4.898 * [backup-simplify]: Simplify 2 into 2 4.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.898 * [taylor]: Taking taylor expansion of y in x 4.898 * [backup-simplify]: Simplify y into y 4.898 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.899 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.899 * [taylor]: Taking taylor expansion of x in x 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (* 1 1) into 1 4.899 * [backup-simplify]: Simplify (/ 1 1) into 1 4.899 * [backup-simplify]: Simplify (+ 0 1) into 1 4.900 * [backup-simplify]: Simplify (sqrt 1) into 1 4.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.901 * [backup-simplify]: Simplify (+ 0 0) into 0 4.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.901 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.901 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.901 * [taylor]: Taking taylor expansion of 2 in x 4.901 * [backup-simplify]: Simplify 2 into 2 4.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.901 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.901 * [taylor]: Taking taylor expansion of y in x 4.901 * [backup-simplify]: Simplify y into y 4.901 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.902 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.902 * [taylor]: Taking taylor expansion of x in x 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (* 1 1) into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [backup-simplify]: Simplify (+ 0 1) into 1 4.903 * [backup-simplify]: Simplify (sqrt 1) into 1 4.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.904 * [backup-simplify]: Simplify (+ 0 0) into 0 4.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.904 * [taylor]: Taking taylor expansion of y in x 4.904 * [backup-simplify]: Simplify y into y 4.904 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.904 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.904 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in x 4.905 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 4.905 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in x 4.905 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.905 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.905 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.905 * [taylor]: Taking taylor expansion of 2 in x 4.905 * [backup-simplify]: Simplify 2 into 2 4.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.905 * [taylor]: Taking taylor expansion of y in x 4.905 * [backup-simplify]: Simplify y into y 4.905 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.905 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.905 * [taylor]: Taking taylor expansion of x in x 4.905 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify 1 into 1 4.905 * [backup-simplify]: Simplify (* 1 1) into 1 4.905 * [backup-simplify]: Simplify (/ 1 1) into 1 4.906 * [backup-simplify]: Simplify (+ 0 1) into 1 4.906 * [backup-simplify]: Simplify (sqrt 1) into 1 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (+ 0 0) into 0 4.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.908 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.908 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.908 * [taylor]: Taking taylor expansion of 2 in x 4.908 * [backup-simplify]: Simplify 2 into 2 4.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.908 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.908 * [taylor]: Taking taylor expansion of y in x 4.908 * [backup-simplify]: Simplify y into y 4.908 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.908 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.908 * [taylor]: Taking taylor expansion of x in x 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (* 1 1) into 1 4.908 * [backup-simplify]: Simplify (/ 1 1) into 1 4.909 * [backup-simplify]: Simplify (+ 0 1) into 1 4.909 * [backup-simplify]: Simplify (sqrt 1) into 1 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (+ 0 0) into 0 4.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.911 * [taylor]: Taking taylor expansion of y in x 4.911 * [backup-simplify]: Simplify y into y 4.911 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.911 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.911 * [backup-simplify]: Simplify (* 1 1) into 1 4.911 * [backup-simplify]: Simplify (+ 1 0) into 1 4.911 * [taylor]: Taking taylor expansion of 1 in y 4.911 * [backup-simplify]: Simplify 1 into 1 4.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.912 * [backup-simplify]: Simplify (+ 0 0) into 0 4.912 * [taylor]: Taking taylor expansion of 0 in y 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.913 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 4.914 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.914 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 4.916 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.917 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 4.917 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 4.917 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.917 * [taylor]: Taking taylor expansion of 3 in y 4.917 * [backup-simplify]: Simplify 3 into 3 4.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.917 * [taylor]: Taking taylor expansion of y in y 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (* 1 1) into 1 4.918 * [backup-simplify]: Simplify (/ 1 1) into 1 4.918 * [backup-simplify]: Simplify (* 3 1) into 3 4.918 * [backup-simplify]: Simplify 3 into 3 4.918 * [backup-simplify]: Simplify 1 into 1 4.918 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.919 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.920 * [backup-simplify]: Simplify (+ 0 0) into 0 4.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.920 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.921 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.922 * [backup-simplify]: Simplify (+ 0 0) into 0 4.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 4.924 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.924 * [backup-simplify]: Simplify (+ 0 0) into 0 4.924 * [taylor]: Taking taylor expansion of 0 in y 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.928 * [backup-simplify]: Simplify (+ 0 0) into 0 4.929 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 4.929 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (+ 0 0) into 0 4.933 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 4.934 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* (/ -1/2 (pow y 4)) 1))))) into 0 4.934 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.934 * [backup-simplify]: Simplify (+ 0 0) into 0 4.934 * [taylor]: Taking taylor expansion of 0 in y 4.934 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.936 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 4.937 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) 4.937 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in (x y) around 0 4.937 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in y 4.937 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 4.937 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in y 4.937 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.937 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.937 * [taylor]: Taking taylor expansion of 2 in y 4.937 * [backup-simplify]: Simplify 2 into 2 4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.937 * [taylor]: Taking taylor expansion of y in y 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (* 1 1) into 1 4.938 * [backup-simplify]: Simplify (/ 1 1) into 1 4.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.938 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.938 * [taylor]: Taking taylor expansion of x in y 4.938 * [backup-simplify]: Simplify x into x 4.938 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.938 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.938 * [backup-simplify]: Simplify (* 2 1) into 2 4.939 * [backup-simplify]: Simplify (+ 2 0) into 2 4.939 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.940 * [backup-simplify]: Simplify (+ 0 0) into 0 4.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.941 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.941 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.941 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.941 * [taylor]: Taking taylor expansion of 2 in y 4.941 * [backup-simplify]: Simplify 2 into 2 4.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.941 * [taylor]: Taking taylor expansion of y in y 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (* 1 1) into 1 4.942 * [backup-simplify]: Simplify (/ 1 1) into 1 4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.942 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.942 * [taylor]: Taking taylor expansion of x in y 4.942 * [backup-simplify]: Simplify x into x 4.942 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.942 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.942 * [backup-simplify]: Simplify (* 2 1) into 2 4.942 * [backup-simplify]: Simplify (+ 2 0) into 2 4.943 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.944 * [backup-simplify]: Simplify (+ 0 0) into 0 4.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.945 * [taylor]: Taking taylor expansion of y in y 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 1 into 1 4.945 * [backup-simplify]: Simplify (* 1 1) into 1 4.945 * [backup-simplify]: Simplify (/ 1 1) into 1 4.945 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in x 4.945 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 4.945 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in x 4.945 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.945 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.945 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.945 * [taylor]: Taking taylor expansion of 2 in x 4.945 * [backup-simplify]: Simplify 2 into 2 4.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.946 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.946 * [taylor]: Taking taylor expansion of y in x 4.946 * [backup-simplify]: Simplify y into y 4.946 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.946 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.946 * [taylor]: Taking taylor expansion of x in x 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [backup-simplify]: Simplify (* 1 1) into 1 4.946 * [backup-simplify]: Simplify (/ 1 1) into 1 4.947 * [backup-simplify]: Simplify (+ 0 1) into 1 4.947 * [backup-simplify]: Simplify (sqrt 1) into 1 4.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.948 * [backup-simplify]: Simplify (+ 0 0) into 0 4.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.949 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.949 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.949 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.949 * [taylor]: Taking taylor expansion of 2 in x 4.949 * [backup-simplify]: Simplify 2 into 2 4.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.949 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.949 * [taylor]: Taking taylor expansion of y in x 4.949 * [backup-simplify]: Simplify y into y 4.949 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.949 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.949 * [taylor]: Taking taylor expansion of x in x 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [backup-simplify]: Simplify (* 1 1) into 1 4.949 * [backup-simplify]: Simplify (/ 1 1) into 1 4.951 * [backup-simplify]: Simplify (+ 0 1) into 1 4.951 * [backup-simplify]: Simplify (sqrt 1) into 1 4.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.952 * [backup-simplify]: Simplify (+ 0 0) into 0 4.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.953 * [taylor]: Taking taylor expansion of y in x 4.953 * [backup-simplify]: Simplify y into y 4.953 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.953 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.953 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in x 4.953 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 4.953 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in x 4.953 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.953 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.953 * [taylor]: Taking taylor expansion of 2 in x 4.953 * [backup-simplify]: Simplify 2 into 2 4.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.953 * [taylor]: Taking taylor expansion of y in x 4.953 * [backup-simplify]: Simplify y into y 4.953 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.954 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.954 * [taylor]: Taking taylor expansion of x in x 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 1 into 1 4.954 * [backup-simplify]: Simplify (* 1 1) into 1 4.954 * [backup-simplify]: Simplify (/ 1 1) into 1 4.954 * [backup-simplify]: Simplify (+ 0 1) into 1 4.955 * [backup-simplify]: Simplify (sqrt 1) into 1 4.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.956 * [backup-simplify]: Simplify (+ 0 0) into 0 4.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.956 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.956 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.956 * [taylor]: Taking taylor expansion of 2 in x 4.956 * [backup-simplify]: Simplify 2 into 2 4.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.956 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.956 * [taylor]: Taking taylor expansion of y in x 4.956 * [backup-simplify]: Simplify y into y 4.956 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.956 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.957 * [taylor]: Taking taylor expansion of x in x 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [backup-simplify]: Simplify (* 1 1) into 1 4.957 * [backup-simplify]: Simplify (/ 1 1) into 1 4.957 * [backup-simplify]: Simplify (+ 0 1) into 1 4.958 * [backup-simplify]: Simplify (sqrt 1) into 1 4.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.959 * [backup-simplify]: Simplify (+ 0 0) into 0 4.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.959 * [taylor]: Taking taylor expansion of y in x 4.959 * [backup-simplify]: Simplify y into y 4.959 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.960 * [backup-simplify]: Simplify (* 1 1) into 1 4.960 * [backup-simplify]: Simplify (+ 1 0) into 1 4.960 * [taylor]: Taking taylor expansion of 1 in y 4.960 * [backup-simplify]: Simplify 1 into 1 4.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.961 * [backup-simplify]: Simplify (+ 0 0) into 0 4.961 * [taylor]: Taking taylor expansion of 0 in y 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.962 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 4.963 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.963 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 4.965 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.965 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 4.966 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 4.966 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.966 * [taylor]: Taking taylor expansion of 3 in y 4.966 * [backup-simplify]: Simplify 3 into 3 4.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.966 * [taylor]: Taking taylor expansion of y in y 4.966 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify 1 into 1 4.966 * [backup-simplify]: Simplify (* 1 1) into 1 4.966 * [backup-simplify]: Simplify (/ 1 1) into 1 4.967 * [backup-simplify]: Simplify (* 3 1) into 3 4.967 * [backup-simplify]: Simplify 3 into 3 4.967 * [backup-simplify]: Simplify 1 into 1 4.967 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.967 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.969 * [backup-simplify]: Simplify (+ 0 0) into 0 4.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.970 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.970 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (+ 0 0) into 0 4.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.973 * [backup-simplify]: Simplify (+ 0 0) into 0 4.973 * [taylor]: Taking taylor expansion of 0 in y 4.973 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.977 * [backup-simplify]: Simplify (+ 0 0) into 0 4.978 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 4.979 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.981 * [backup-simplify]: Simplify (+ 0 0) into 0 4.982 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 4.983 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* (/ -1/2 (pow y 4)) 1))))) into 0 4.983 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.984 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [taylor]: Taking taylor expansion of 0 in y 4.984 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.987 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 4.988 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.988 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (* 2 (pow y 2)) (pow x 2)) 4.988 * [approximate]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in (x y) around 0 4.988 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 4.988 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 4.988 * [taylor]: Taking taylor expansion of 2 in y 4.988 * [backup-simplify]: Simplify 2 into 2 4.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.988 * [taylor]: Taking taylor expansion of y in y 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.988 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.988 * [taylor]: Taking taylor expansion of x in y 4.988 * [backup-simplify]: Simplify x into x 4.988 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 4.989 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.989 * [taylor]: Taking taylor expansion of 2 in x 4.989 * [backup-simplify]: Simplify 2 into 2 4.989 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.989 * [taylor]: Taking taylor expansion of y in x 4.989 * [backup-simplify]: Simplify y into y 4.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.989 * [taylor]: Taking taylor expansion of x in x 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 1 into 1 4.989 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 4.989 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.989 * [taylor]: Taking taylor expansion of 2 in x 4.989 * [backup-simplify]: Simplify 2 into 2 4.989 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.989 * [taylor]: Taking taylor expansion of y in x 4.989 * [backup-simplify]: Simplify y into y 4.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.989 * [taylor]: Taking taylor expansion of x in x 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 1 into 1 4.989 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.989 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.989 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 4.990 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 4.990 * [taylor]: Taking taylor expansion of 2 in y 4.990 * [backup-simplify]: Simplify 2 into 2 4.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.990 * [taylor]: Taking taylor expansion of y in y 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.990 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.990 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.991 * [backup-simplify]: Simplify (+ 0 0) into 0 4.991 * [taylor]: Taking taylor expansion of 0 in y 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.993 * [backup-simplify]: Simplify (* 1 1) into 1 4.993 * [backup-simplify]: Simplify (+ 0 1) into 1 4.993 * [taylor]: Taking taylor expansion of 1 in y 4.993 * [backup-simplify]: Simplify 1 into 1 4.993 * [backup-simplify]: Simplify 1 into 1 4.993 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify (* 1 1) into 1 4.994 * [backup-simplify]: Simplify (* 2 1) into 2 4.994 * [backup-simplify]: Simplify 2 into 2 4.995 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.998 * [backup-simplify]: Simplify (+ 0 0) into 0 4.998 * [taylor]: Taking taylor expansion of 0 in y 4.998 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.000 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.004 * [backup-simplify]: Simplify (+ 0 0) into 0 5.004 * [taylor]: Taking taylor expansion of 0 in y 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 5.005 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 5.005 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 5.005 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.005 * [taylor]: Taking taylor expansion of 2 in y 5.005 * [backup-simplify]: Simplify 2 into 2 5.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.005 * [taylor]: Taking taylor expansion of y in y 5.005 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify 1 into 1 5.006 * [backup-simplify]: Simplify (* 1 1) into 1 5.006 * [backup-simplify]: Simplify (/ 1 1) into 1 5.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.006 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.006 * [taylor]: Taking taylor expansion of x in y 5.006 * [backup-simplify]: Simplify x into x 5.006 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.006 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.006 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.006 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.006 * [taylor]: Taking taylor expansion of 2 in x 5.006 * [backup-simplify]: Simplify 2 into 2 5.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.006 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.006 * [taylor]: Taking taylor expansion of y in x 5.007 * [backup-simplify]: Simplify y into y 5.007 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.007 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.007 * [taylor]: Taking taylor expansion of x in x 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 1 into 1 5.007 * [backup-simplify]: Simplify (* 1 1) into 1 5.007 * [backup-simplify]: Simplify (/ 1 1) into 1 5.007 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.007 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.007 * [taylor]: Taking taylor expansion of 2 in x 5.007 * [backup-simplify]: Simplify 2 into 2 5.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.007 * [taylor]: Taking taylor expansion of y in x 5.007 * [backup-simplify]: Simplify y into y 5.007 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.007 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.008 * [taylor]: Taking taylor expansion of x in x 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (* 1 1) into 1 5.008 * [backup-simplify]: Simplify (/ 1 1) into 1 5.008 * [backup-simplify]: Simplify (+ 0 1) into 1 5.008 * [taylor]: Taking taylor expansion of 1 in y 5.008 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.009 * [backup-simplify]: Simplify (+ 0 0) into 0 5.010 * [taylor]: Taking taylor expansion of 0 in y 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 5.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.011 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 5.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.011 * [taylor]: Taking taylor expansion of 2 in y 5.011 * [backup-simplify]: Simplify 2 into 2 5.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.011 * [taylor]: Taking taylor expansion of y in y 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 1 into 1 5.011 * [backup-simplify]: Simplify (* 1 1) into 1 5.011 * [backup-simplify]: Simplify (/ 1 1) into 1 5.012 * [backup-simplify]: Simplify (* 2 1) into 2 5.012 * [backup-simplify]: Simplify 2 into 2 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.012 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 5.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.014 * [backup-simplify]: Simplify (+ 0 0) into 0 5.014 * [taylor]: Taking taylor expansion of 0 in y 5.014 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.015 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 0 into 0 5.016 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 5.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.018 * [backup-simplify]: Simplify (+ 0 0) into 0 5.018 * [taylor]: Taking taylor expansion of 0 in y 5.018 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 5.020 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 5.020 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 5.020 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.020 * [taylor]: Taking taylor expansion of 2 in y 5.020 * [backup-simplify]: Simplify 2 into 2 5.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.020 * [taylor]: Taking taylor expansion of y in y 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.021 * [backup-simplify]: Simplify (* 1 1) into 1 5.021 * [backup-simplify]: Simplify (/ 1 1) into 1 5.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.021 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.021 * [taylor]: Taking taylor expansion of x in y 5.021 * [backup-simplify]: Simplify x into x 5.021 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.021 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.021 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.021 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.021 * [taylor]: Taking taylor expansion of 2 in x 5.021 * [backup-simplify]: Simplify 2 into 2 5.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.021 * [taylor]: Taking taylor expansion of y in x 5.021 * [backup-simplify]: Simplify y into y 5.021 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.021 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.021 * [taylor]: Taking taylor expansion of x in x 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 1 into 1 5.022 * [backup-simplify]: Simplify (* 1 1) into 1 5.022 * [backup-simplify]: Simplify (/ 1 1) into 1 5.022 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.022 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.022 * [taylor]: Taking taylor expansion of 2 in x 5.022 * [backup-simplify]: Simplify 2 into 2 5.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.022 * [taylor]: Taking taylor expansion of y in x 5.022 * [backup-simplify]: Simplify y into y 5.022 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.022 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.022 * [taylor]: Taking taylor expansion of x in x 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (* 1 1) into 1 5.023 * [backup-simplify]: Simplify (/ 1 1) into 1 5.023 * [backup-simplify]: Simplify (+ 0 1) into 1 5.023 * [taylor]: Taking taylor expansion of 1 in y 5.023 * [backup-simplify]: Simplify 1 into 1 5.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.024 * [backup-simplify]: Simplify (+ 0 0) into 0 5.024 * [taylor]: Taking taylor expansion of 0 in y 5.024 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 5.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.026 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 5.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.026 * [taylor]: Taking taylor expansion of 2 in y 5.026 * [backup-simplify]: Simplify 2 into 2 5.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.026 * [taylor]: Taking taylor expansion of y in y 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (* 1 1) into 1 5.026 * [backup-simplify]: Simplify (/ 1 1) into 1 5.027 * [backup-simplify]: Simplify (* 2 1) into 2 5.027 * [backup-simplify]: Simplify 2 into 2 5.027 * [backup-simplify]: Simplify 1 into 1 5.027 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.027 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 5.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.029 * [backup-simplify]: Simplify (+ 0 0) into 0 5.029 * [taylor]: Taking taylor expansion of 0 in y 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 5.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (+ 0 0) into 0 5.033 * [taylor]: Taking taylor expansion of 0 in y 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.035 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 5.035 * * * [progress]: simplifying candidates 5.036 * [simplify]: Simplifying: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow y 2) (+ (pow x 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) 5.037 * * [simplify]: iteration 0: 76 enodes 5.060 * * [simplify]: iteration 1: 198 enodes 5.144 * * [simplify]: iteration 2: 1055 enodes 5.628 * * [simplify]: iteration complete: 5002 enodes 5.628 * * [simplify]: Extracting #0: cost 43 inf + 0 5.630 * * [simplify]: Extracting #1: cost 500 inf + 8 5.636 * * [simplify]: Extracting #2: cost 1450 inf + 2169 5.646 * * [simplify]: Extracting #3: cost 834 inf + 14072 5.657 * * [simplify]: Extracting #4: cost 92 inf + 22503 5.667 * * [simplify]: Extracting #5: cost 13 inf + 22383 5.678 * * [simplify]: Extracting #6: cost 0 inf + 22479 5.695 * [simplify]: Simplified to: (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (log (hypot (* (sqrt 2) y) x)) (exp (hypot (* (sqrt 2) y) x)) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (pow (hypot (* (sqrt 2) y) x) 3) (fabs (cbrt (fma y (+ y y) (* x x)))) (sqrt (cbrt (fma y (+ y y) (* x x)))) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) 1 (hypot (* (sqrt 2) y) x) (hypot (pow y 3) (pow (fma y y (* x x)) 3/2)) (sqrt (fma (* y y) (- (* x x)) (* (fma y y (* x x)) (fma y y (* x x))))) (sqrt (* (fma y (+ y y) (* x x)) (* x x))) (sqrt (* x x)) 1/2 (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (log (hypot (* (sqrt 2) y) x)) (exp (hypot (* (sqrt 2) y) x)) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (pow (hypot (* (sqrt 2) y) x) 3) (fabs (cbrt (fma y (+ y y) (* x x)))) (sqrt (cbrt (fma y (+ y y) (* x x)))) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) 1 (hypot (* (sqrt 2) y) x) (hypot (pow y 3) (pow (fma y y (* x x)) 3/2)) (sqrt (fma (* y y) (- (* x x)) (* (fma y y (* x x)) (fma y y (* x x))))) (sqrt (* (fma y (+ y y) (* x x)) (* x x))) (sqrt (* x x)) 1/2 (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (expm1 (fma y (+ y y) (fma y y (* x x)))) (log1p (fma y (+ y y) (fma y y (* x x)))) (fma y (+ y y) (* x x)) (log (fma y (+ y y) (fma y y (* x x)))) (exp (fma y (+ y y) (fma y y (* x x)))) (* (cbrt (fma y (+ y y) (fma y y (* x x)))) (cbrt (fma y (+ y y) (fma y y (* x x))))) (cbrt (fma y (+ y y) (fma y y (* x x)))) (pow (fma y (+ y y) (fma y y (* x x))) 3) (hypot (hypot (* (sqrt 2) y) x) y) (hypot (hypot (* (sqrt 2) y) x) y) (expm1 (fma y (+ y y) (* x x))) (log1p (fma y (+ y y) (* x x))) (exp (fma y (+ y y) (* x x))) (exp (fma y (+ y y) (* x x))) (log (fma y (+ y y) (* x x))) (exp (fma y (+ y y) (* x x))) (* (cbrt (fma y (+ y y) (* x x))) (cbrt (fma y (+ y y) (* x x)))) (cbrt (fma y (+ y y) (* x x))) (pow (fma y (+ y y) (* x x)) 3) (hypot (* (sqrt 2) y) x) (hypot (* (sqrt 2) y) x) (+ (pow y 6) (pow (fma y y (* x x)) 3)) (fma (* y y) (- (* x x)) (* (fma y y (* x x)) (fma y y (* x x)))) (* (fma y (+ y y) (* x x)) (* x x)) (* x x) (* 2 (* y y)) (* y (sqrt 2)) x (- x) (* y (sqrt 2)) x (- x) (fma y (+ y y) (fma y y (* x x))) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma y (+ y y) (* x x)) (fma y (+ y y) (* x x)) (fma y (+ y y) (* x x)) 5.696 * * * [progress]: adding candidates to table 6.090 * [progress]: [Phase 3 of 3] Extracting. 6.090 * * [regime]: Finding splitpoints for: (# # # # # #) 6.091 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 6.091 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 6.138 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 6.204 * * * * [regimes]: Trying to branch on y from (# # # # # #) 6.262 * * * * [regimes]: Trying to branch on x from (# # # # # #) 6.315 * * * [regime]: Found split indices: #