25.104 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: Extracting # 3 : cost 0 0.021 * * [simplify]: Extracting # 4 : cost 0 0.021 * * [simplify]: Extracting # 5 : cost 0 0.021 * * [simplify]: iteration 0 : 9 enodes (cost 19 ) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: Extracting # 1 : cost 0 0.023 * * [simplify]: Extracting # 2 : cost 0 0.023 * * [simplify]: iteration 1 : 17 enodes (cost 19 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: iteration 2 : 35 enodes (cost 19 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: iteration 3 : 67 enodes (cost 19 ) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: Extracting # 1 : cost 0 0.049 * * [simplify]: Extracting # 2 : cost 0 0.050 * * [simplify]: iteration 4 : 111 enodes (cost 19 ) 0.085 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: Extracting # 1 : cost 0 0.086 * * [simplify]: Extracting # 2 : cost 0 0.086 * * [simplify]: iteration 5 : 158 enodes (cost 19 ) 0.131 * * [simplify]: Extracting # 0 : cost 0 0.131 * * [simplify]: Extracting # 1 : cost 0 0.131 * * [simplify]: Extracting # 2 : cost 0 0.131 * * [simplify]: iteration 6 : 173 enodes (cost 19 ) 0.186 * * [simplify]: Extracting # 0 : cost 0 0.186 * * [simplify]: iteration 7 : 174 enodes (cost 19 ) 0.238 * * [simplify]: Extracting # 0 : cost 0 0.238 * * [simplify]: iteration done: 174 enodes (cost 19 ) 0.239 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.239 * * [progress]: iteration 1 / 4 0.239 * * * [progress]: picking best candidate 0.242 * * * * [pick]: Picked # 0.242 * * * [progress]: localizing error 0.262 * * * [progress]: generating rewritten candidates 0.262 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.319 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.327 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.337 * * * [progress]: generating series expansions 0.337 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.338 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 0.338 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.338 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [backup-simplify]: Simplify x into x 0.338 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of 4.0 in y 0.338 * [backup-simplify]: Simplify 4.0 into 4.0 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 0.338 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [backup-simplify]: Simplify x into x 0.338 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of 4.0 in y 0.338 * [backup-simplify]: Simplify 4.0 into 4.0 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 0.338 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.338 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.338 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.339 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.339 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.339 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.339 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of 4.0 in x 0.339 * [backup-simplify]: Simplify 4.0 into 4.0 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [backup-simplify]: Simplify y into y 0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of 4.0 in x 0.339 * [backup-simplify]: Simplify 4.0 into 4.0 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [backup-simplify]: Simplify y into y 0.339 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.339 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.339 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.339 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.340 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.340 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.340 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.340 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.340 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.340 * [taylor]: Taking taylor expansion of 4.0 in x 0.340 * [backup-simplify]: Simplify 4.0 into 4.0 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [backup-simplify]: Simplify y into y 0.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.340 * [taylor]: Taking taylor expansion of 4.0 in x 0.340 * [backup-simplify]: Simplify 4.0 into 4.0 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [backup-simplify]: Simplify y into y 0.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.340 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.341 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.341 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.341 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.341 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.341 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.341 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.341 * [taylor]: Taking taylor expansion of -1.0 in y 0.341 * [backup-simplify]: Simplify -1.0 into -1.0 0.341 * [backup-simplify]: Simplify -1.0 into -1.0 0.342 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.342 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.343 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.344 * [taylor]: Taking taylor expansion of 0 in y 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 (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 1 0) into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.347 * [backup-simplify]: Simplify (+ 1 0) into 1 0.347 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.347 * [taylor]: Taking taylor expansion of 0.5 in y 0.347 * [backup-simplify]: Simplify 0.5 into 0.5 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 0.5 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 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify -1.0 into -1.0 0.355 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.355 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [backup-simplify]: Simplify x into x 0.355 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.355 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.355 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of 4.0 in y 0.355 * [backup-simplify]: Simplify 4.0 into 4.0 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [backup-simplify]: Simplify x into x 0.356 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.356 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.356 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.356 * [taylor]: Taking taylor expansion of 4.0 in y 0.356 * [backup-simplify]: Simplify 4.0 into 4.0 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.357 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.358 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.358 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.358 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.359 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.359 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.359 * [taylor]: Taking taylor expansion of 4.0 in x 0.359 * [backup-simplify]: Simplify 4.0 into 4.0 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.360 * [backup-simplify]: Simplify y into y 0.360 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.360 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* 1 1) into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.360 * [taylor]: Taking taylor expansion of 4.0 in x 0.360 * [backup-simplify]: Simplify 4.0 into 4.0 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [backup-simplify]: Simplify y into y 0.360 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.361 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.362 * [taylor]: Taking taylor expansion of 4.0 in x 0.362 * [backup-simplify]: Simplify 4.0 into 4.0 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [backup-simplify]: Simplify y into y 0.362 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.362 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.363 * [taylor]: Taking taylor expansion of 4.0 in x 0.363 * [backup-simplify]: Simplify 4.0 into 4.0 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [backup-simplify]: Simplify y into y 0.363 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [taylor]: Taking taylor expansion of 1 in y 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 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 (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.368 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.368 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.369 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.370 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.370 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.370 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of 8.0 in y 0.370 * [backup-simplify]: Simplify 8.0 into 8.0 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.379 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.379 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [backup-simplify]: Simplify x into x 0.379 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.379 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.379 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of 4.0 in y 0.379 * [backup-simplify]: Simplify 4.0 into 4.0 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [backup-simplify]: Simplify x into x 0.380 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.380 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.380 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.380 * [taylor]: Taking taylor expansion of 4.0 in y 0.380 * [backup-simplify]: Simplify 4.0 into 4.0 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.382 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.383 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.383 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.384 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.385 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.385 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.386 * [taylor]: Taking taylor expansion of 4.0 in x 0.386 * [backup-simplify]: Simplify 4.0 into 4.0 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [backup-simplify]: Simplify y into y 0.386 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.386 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.387 * [taylor]: Taking taylor expansion of 4.0 in x 0.387 * [backup-simplify]: Simplify 4.0 into 4.0 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [backup-simplify]: Simplify y into y 0.387 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.388 * [backup-simplify]: Simplify (+ 1 0) into 1 0.388 * [backup-simplify]: Simplify (+ 1 0) into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.390 * [taylor]: Taking taylor expansion of 4.0 in x 0.390 * [backup-simplify]: Simplify 4.0 into 4.0 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [backup-simplify]: Simplify y into y 0.390 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.390 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.391 * [taylor]: Taking taylor expansion of 4.0 in x 0.391 * [backup-simplify]: Simplify 4.0 into 4.0 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [backup-simplify]: Simplify y into y 0.391 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.392 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.392 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of 1 in y 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.405 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.406 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.408 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.409 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.410 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.410 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.410 * [taylor]: Taking taylor expansion of 8.0 in y 0.410 * [backup-simplify]: Simplify 8.0 into 8.0 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.424 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.424 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [backup-simplify]: Simplify x into x 0.425 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of 4.0 in y 0.425 * [backup-simplify]: Simplify 4.0 into 4.0 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of 4.0 in x 0.425 * [backup-simplify]: Simplify 4.0 into 4.0 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [backup-simplify]: Simplify y into y 0.425 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of 4.0 in x 0.425 * [backup-simplify]: Simplify 4.0 into 4.0 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [backup-simplify]: Simplify y into y 0.425 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.426 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.426 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.426 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.426 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.426 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of 4.0 in y 0.426 * [backup-simplify]: Simplify 4.0 into 4.0 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.427 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.427 * [backup-simplify]: Simplify (- 0) 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 (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.429 * [backup-simplify]: Simplify (- 0) into 0 0.429 * [backup-simplify]: Simplify (+ 1 0) into 1 0.429 * [taylor]: Taking taylor expansion of 1 in y 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.430 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.431 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.432 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.434 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.434 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.435 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.437 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.437 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [backup-simplify]: Simplify x into x 0.437 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.437 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.437 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.437 * [taylor]: Taking taylor expansion of 4.0 in y 0.437 * [backup-simplify]: Simplify 4.0 into 4.0 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.439 * [taylor]: Taking taylor expansion of 4.0 in x 0.439 * [backup-simplify]: Simplify 4.0 into 4.0 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [backup-simplify]: Simplify y into y 0.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.439 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.439 * [taylor]: Taking taylor expansion of 4.0 in x 0.439 * [backup-simplify]: Simplify 4.0 into 4.0 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [taylor]: Taking taylor expansion of 1 in y 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.444 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.445 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.445 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.445 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.445 * [taylor]: Taking taylor expansion of 4.0 in y 0.445 * [backup-simplify]: Simplify 4.0 into 4.0 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.446 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.447 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.447 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 4.0 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 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.460 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.460 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.460 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [backup-simplify]: Simplify x into x 0.460 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.460 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.460 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.460 * [taylor]: Taking taylor expansion of 4.0 in y 0.460 * [backup-simplify]: Simplify 4.0 into 4.0 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (* 1 1) into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.462 * [taylor]: Taking taylor expansion of 4.0 in x 0.462 * [backup-simplify]: Simplify 4.0 into 4.0 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [backup-simplify]: Simplify y into y 0.462 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.462 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.463 * [taylor]: Taking taylor expansion of 4.0 in x 0.463 * [backup-simplify]: Simplify 4.0 into 4.0 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [backup-simplify]: Simplify y into y 0.463 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.464 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [taylor]: Taking taylor expansion of 1 in y 0.464 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.468 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.468 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.468 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.468 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.468 * [taylor]: Taking taylor expansion of 4.0 in y 0.468 * [backup-simplify]: Simplify 4.0 into 4.0 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.470 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.470 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.485 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.485 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.485 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [backup-simplify]: Simplify x into x 0.485 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of 4.0 in y 0.485 * [backup-simplify]: Simplify 4.0 into 4.0 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.485 * [taylor]: Taking taylor expansion of 4.0 in x 0.485 * [backup-simplify]: Simplify 4.0 into 4.0 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [backup-simplify]: Simplify y into y 0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.486 * [taylor]: Taking taylor expansion of 4.0 in x 0.486 * [backup-simplify]: Simplify 4.0 into 4.0 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [backup-simplify]: Simplify y into y 0.486 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.486 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.486 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.486 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of 4.0 in y 0.486 * [backup-simplify]: Simplify 4.0 into 4.0 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.487 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.490 * [backup-simplify]: Simplify (+ 1 0) into 1 0.490 * [taylor]: Taking taylor expansion of 1 in y 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.491 * [backup-simplify]: Simplify 4.0 into 4.0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.500 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.500 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [backup-simplify]: Simplify x into x 0.500 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.500 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.500 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of 4.0 in y 0.500 * [backup-simplify]: Simplify 4.0 into 4.0 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.502 * [taylor]: Taking taylor expansion of 4.0 in x 0.502 * [backup-simplify]: Simplify 4.0 into 4.0 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [backup-simplify]: Simplify y into y 0.502 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.503 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.504 * [taylor]: Taking taylor expansion of 4.0 in x 0.504 * [backup-simplify]: Simplify 4.0 into 4.0 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [backup-simplify]: Simplify y into y 0.504 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.504 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [taylor]: Taking taylor expansion of 1 in y 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.507 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.507 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.507 * [taylor]: Taking taylor expansion of 4.0 in y 0.507 * [backup-simplify]: Simplify 4.0 into 4.0 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.508 * [backup-simplify]: Simplify 4.0 into 4.0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.516 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.516 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [backup-simplify]: Simplify x into x 0.516 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.516 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.516 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.516 * [taylor]: Taking taylor expansion of 4.0 in y 0.516 * [backup-simplify]: Simplify 4.0 into 4.0 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.517 * [taylor]: Taking taylor expansion of 4.0 in x 0.517 * [backup-simplify]: Simplify 4.0 into 4.0 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [backup-simplify]: Simplify y into y 0.517 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.517 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (* 1 1) into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.518 * [taylor]: Taking taylor expansion of 4.0 in x 0.518 * [backup-simplify]: Simplify 4.0 into 4.0 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [backup-simplify]: Simplify y into y 0.518 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.518 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.519 * [backup-simplify]: Simplify (+ 1 0) into 1 0.519 * [taylor]: Taking taylor expansion of 1 in y 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.521 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.521 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.521 * [taylor]: Taking taylor expansion of 4.0 in y 0.521 * [backup-simplify]: Simplify 4.0 into 4.0 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.522 * [backup-simplify]: Simplify 4.0 into 4.0 0.522 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.533 * * * [progress]: simplifying candidates 0.534 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) 0.536 * * [simplify]: Extracting # 0 : cost 0 0.536 * * [simplify]: Extracting # 1 : cost 0 0.536 * * [simplify]: Extracting # 2 : cost 0 0.536 * * [simplify]: Extracting # 3 : cost 0 0.536 * * [simplify]: Extracting # 4 : cost 0 0.536 * * [simplify]: Extracting # 5 : cost 0 0.537 * * [simplify]: Extracting # 6 : cost 0 0.537 * * [simplify]: Extracting # 7 : cost 0 0.537 * * [simplify]: iteration 0 : 87 enodes (cost 1404 ) 0.556 * * [simplify]: Extracting # 0 : cost 0 0.557 * * [simplify]: Extracting # 1 : cost 0 0.557 * * [simplify]: Extracting # 2 : cost 0 0.557 * * [simplify]: Extracting # 3 : cost 0 0.557 * * [simplify]: Extracting # 4 : cost 0 0.558 * * [simplify]: iteration 1 : 233 enodes (cost 1375 ) 0.647 * * [simplify]: Extracting # 0 : cost 0 0.648 * * [simplify]: Extracting # 1 : cost 0 0.650 * * [simplify]: Extracting # 2 : cost 0 0.651 * * [simplify]: Extracting # 3 : cost 0 0.653 * * [simplify]: Extracting # 4 : cost 0 0.654 * * [simplify]: iteration 2 : 769 enodes (cost 1233 ) 1.132 * * [simplify]: Extracting # 0 : cost 0 1.141 * * [simplify]: Extracting # 1 : cost 0 1.144 * * [simplify]: Extracting # 2 : cost 0 1.147 * * [simplify]: Extracting # 3 : cost 0 1.150 * * [simplify]: Extracting # 4 : cost 0 1.155 * * [simplify]: iteration 3 : 2891 enodes (cost 1226 ) 3.226 * * [simplify]: Extracting # 0 : cost 0 3.231 * * [simplify]: Extracting # 1 : cost 0 3.237 * * [simplify]: Extracting # 2 : cost 0 3.242 * * [simplify]: Extracting # 3 : cost 0 3.247 * * [simplify]: Extracting # 4 : cost 0 3.251 * * [simplify]: iteration done: 5001 enodes (cost 1210 ) 3.252 * [simplify]: Simplified to: (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y) (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (pow x 2) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 6) (pow (* (* y 4.0) y) 3))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (* (+ (* (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (pow x 4)) (+ (pow x 2) (* 4.0 (pow y 2)))) (* (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2))) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (* (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (pow x 4)) (- (* 4.0 (pow y 2))) (- (pow x 4) (* (pow y 4) (* 4.0 4.0))) (+ (* 4.0 (pow y 2)) (pow x 2)) (- (* 4.0 (pow y 2))) (exp (+ (* x x) (* (* y 4.0) y))) (log (+ (* 4.0 (pow y 2)) (pow x 2))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (pow (+ (* 4.0 (pow y 2)) (pow x 2)) 3) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 4) (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x)))) (- (pow x 4) (* (pow y 4) (* 4.0 4.0))) (- (pow x 2) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* (* y 4.0) y)) (- (pow x 2) (* (* y 4.0) y)) (- (pow x 2) (* (* y 4.0) y)) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) 3.253 * * * [progress]: adding candidates to table 3.427 * * [progress]: iteration 2 / 4 3.427 * * * [progress]: picking best candidate 3.440 * * * * [pick]: Picked # 3.441 * * * [progress]: localizing error 3.455 * * * [progress]: generating rewritten candidates 3.455 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.472 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.501 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.611 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.629 * * * [progress]: generating series expansions 3.629 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.629 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) 3.629 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 3.629 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.629 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.629 * [taylor]: Taking taylor expansion of x in y 3.629 * [backup-simplify]: Simplify x into x 3.629 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.629 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.629 * [taylor]: Taking taylor expansion of x in y 3.629 * [backup-simplify]: Simplify x into x 3.629 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.629 * [taylor]: Taking taylor expansion of 4.0 in y 3.629 * [backup-simplify]: Simplify 4.0 into 4.0 3.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.629 * [taylor]: Taking taylor expansion of y in y 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 1 into 1 3.629 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.629 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.630 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.630 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.630 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.630 * [taylor]: Taking taylor expansion of x in x 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.630 * [taylor]: Taking taylor expansion of x in x 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.630 * [taylor]: Taking taylor expansion of 4.0 in x 3.630 * [backup-simplify]: Simplify 4.0 into 4.0 3.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.630 * [taylor]: Taking taylor expansion of y in x 3.630 * [backup-simplify]: Simplify y into y 3.631 * [backup-simplify]: Simplify (* 1 1) into 1 3.631 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.631 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.631 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.631 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 3.631 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.631 * [taylor]: Taking taylor expansion of x in x 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.631 * [taylor]: Taking taylor expansion of x in x 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.631 * [taylor]: Taking taylor expansion of 4.0 in x 3.631 * [backup-simplify]: Simplify 4.0 into 4.0 3.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.631 * [taylor]: Taking taylor expansion of y in x 3.631 * [backup-simplify]: Simplify y into y 3.632 * [backup-simplify]: Simplify (* 1 1) into 1 3.632 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.632 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.632 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.632 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 3.632 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 3.632 * [taylor]: Taking taylor expansion of 0.25 in y 3.632 * [backup-simplify]: Simplify 0.25 into 0.25 3.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.632 * [taylor]: Taking taylor expansion of y in y 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [backup-simplify]: Simplify (* 1 1) into 1 3.633 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 3.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.635 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.636 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.636 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 3.636 * [taylor]: Taking taylor expansion of 0 in y 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.638 * [backup-simplify]: Simplify (* 1 1) into 1 3.639 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.639 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.640 * [backup-simplify]: Simplify (+ 1 0) into 1 3.640 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 3.640 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 3.640 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 3.640 * [taylor]: Taking taylor expansion of 0.0625 in y 3.640 * [backup-simplify]: Simplify 0.0625 into 0.0625 3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.640 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.640 * [taylor]: Taking taylor expansion of y in y 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 1 into 1 3.640 * [backup-simplify]: Simplify (* 1 1) into 1 3.641 * [backup-simplify]: Simplify (* 1 1) into 1 3.641 * [backup-simplify]: Simplify (/ 1 1) into 1 3.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.648 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.648 * [backup-simplify]: Simplify (- 0) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 3.650 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 3.650 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.650 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.650 * [taylor]: Taking taylor expansion of x in y 3.650 * [backup-simplify]: Simplify x into x 3.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.650 * [taylor]: Taking taylor expansion of x in y 3.650 * [backup-simplify]: Simplify x into x 3.650 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.650 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.650 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.650 * [taylor]: Taking taylor expansion of 4.0 in y 3.650 * [backup-simplify]: Simplify 4.0 into 4.0 3.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.650 * [taylor]: Taking taylor expansion of y in y 3.650 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify 1 into 1 3.650 * [backup-simplify]: Simplify (* 1 1) into 1 3.651 * [backup-simplify]: Simplify (/ 1 1) into 1 3.651 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.651 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.651 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.651 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 3.651 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 3.651 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.651 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.651 * [taylor]: Taking taylor expansion of x in x 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify 1 into 1 3.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.652 * [taylor]: Taking taylor expansion of x in x 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 1 into 1 3.652 * [backup-simplify]: Simplify (* 1 1) into 1 3.652 * [backup-simplify]: Simplify (/ 1 1) into 1 3.652 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.652 * [taylor]: Taking taylor expansion of 4.0 in x 3.652 * [backup-simplify]: Simplify 4.0 into 4.0 3.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.652 * [taylor]: Taking taylor expansion of y in x 3.652 * [backup-simplify]: Simplify y into y 3.652 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.652 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.653 * [backup-simplify]: Simplify (* 1 1) into 1 3.653 * [backup-simplify]: Simplify (+ 1 0) into 1 3.653 * [backup-simplify]: Simplify (* 1 1) into 1 3.653 * [backup-simplify]: Simplify (/ 1 1) into 1 3.653 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.653 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.653 * [taylor]: Taking taylor expansion of x in x 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.653 * [taylor]: Taking taylor expansion of x in x 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.654 * [backup-simplify]: Simplify (* 1 1) into 1 3.654 * [backup-simplify]: Simplify (/ 1 1) into 1 3.654 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.654 * [taylor]: Taking taylor expansion of 4.0 in x 3.654 * [backup-simplify]: Simplify 4.0 into 4.0 3.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.654 * [taylor]: Taking taylor expansion of y in x 3.654 * [backup-simplify]: Simplify y into y 3.654 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.654 * [backup-simplify]: Simplify (* 1 1) into 1 3.655 * [backup-simplify]: Simplify (+ 1 0) into 1 3.655 * [backup-simplify]: Simplify (* 1 1) into 1 3.655 * [backup-simplify]: Simplify (/ 1 1) into 1 3.655 * [taylor]: Taking taylor expansion of 1 in y 3.655 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify (+ 0 0) into 0 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.657 * [taylor]: Taking taylor expansion of 0 in y 3.657 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.659 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 3.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.660 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 3.660 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.660 * [taylor]: Taking taylor expansion of 4.0 in y 3.660 * [backup-simplify]: Simplify 4.0 into 4.0 3.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.660 * [taylor]: Taking taylor expansion of y in y 3.660 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.661 * [backup-simplify]: Simplify (/ 1 1) into 1 3.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.666 * [backup-simplify]: Simplify (- 0) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 3.666 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 3.666 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.666 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.666 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.666 * [taylor]: Taking taylor expansion of x in y 3.666 * [backup-simplify]: Simplify x into x 3.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.666 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.666 * [taylor]: Taking taylor expansion of x in y 3.666 * [backup-simplify]: Simplify x into x 3.667 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.667 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.667 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.667 * [taylor]: Taking taylor expansion of 4.0 in y 3.667 * [backup-simplify]: Simplify 4.0 into 4.0 3.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.667 * [taylor]: Taking taylor expansion of y in y 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify 1 into 1 3.667 * [backup-simplify]: Simplify (* 1 1) into 1 3.667 * [backup-simplify]: Simplify (/ 1 1) into 1 3.667 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.668 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.668 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.668 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 3.668 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 3.668 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.668 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.668 * [taylor]: Taking taylor expansion of x in x 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 1 into 1 3.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.668 * [taylor]: Taking taylor expansion of x in x 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 1 into 1 3.669 * [backup-simplify]: Simplify (* 1 1) into 1 3.669 * [backup-simplify]: Simplify (/ 1 1) into 1 3.669 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.669 * [taylor]: Taking taylor expansion of 4.0 in x 3.669 * [backup-simplify]: Simplify 4.0 into 4.0 3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.669 * [taylor]: Taking taylor expansion of y in x 3.669 * [backup-simplify]: Simplify y into y 3.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.669 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.669 * [backup-simplify]: Simplify (* 1 1) into 1 3.669 * [backup-simplify]: Simplify (+ 1 0) into 1 3.670 * [backup-simplify]: Simplify (* 1 1) into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.670 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (* 1 1) into 1 3.671 * [backup-simplify]: Simplify (/ 1 1) into 1 3.671 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.671 * [taylor]: Taking taylor expansion of 4.0 in x 3.671 * [backup-simplify]: Simplify 4.0 into 4.0 3.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.671 * [taylor]: Taking taylor expansion of y in x 3.671 * [backup-simplify]: Simplify y into y 3.671 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.671 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.671 * [backup-simplify]: Simplify (* 1 1) into 1 3.671 * [backup-simplify]: Simplify (+ 1 0) into 1 3.672 * [backup-simplify]: Simplify (* 1 1) into 1 3.672 * [backup-simplify]: Simplify (/ 1 1) into 1 3.672 * [taylor]: Taking taylor expansion of 1 in y 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.673 * [backup-simplify]: Simplify (+ 0 0) into 0 3.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.674 * [taylor]: Taking taylor expansion of 0 in y 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.675 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.677 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.677 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 3.677 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.677 * [taylor]: Taking taylor expansion of 4.0 in y 3.677 * [backup-simplify]: Simplify 4.0 into 4.0 3.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.677 * [taylor]: Taking taylor expansion of y in y 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (* 1 1) into 1 3.678 * [backup-simplify]: Simplify (/ 1 1) into 1 3.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.683 * [backup-simplify]: Simplify (- 0) into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.683 * [backup-simplify]: Simplify (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) into (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) 3.684 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 3.684 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 3.684 * [taylor]: Taking taylor expansion of 4.0 in x 3.684 * [backup-simplify]: Simplify 4.0 into 4.0 3.684 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.684 * [taylor]: Taking taylor expansion of y in x 3.684 * [backup-simplify]: Simplify y into y 3.684 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.684 * [taylor]: Taking taylor expansion of x in x 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.684 * [taylor]: Taking taylor expansion of 4.0 in x 3.684 * [backup-simplify]: Simplify 4.0 into 4.0 3.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.684 * [taylor]: Taking taylor expansion of y in x 3.684 * [backup-simplify]: Simplify y into y 3.684 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.684 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.684 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.684 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.684 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 3.684 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 3.684 * [taylor]: Taking taylor expansion of 4.0 in y 3.684 * [backup-simplify]: Simplify 4.0 into 4.0 3.684 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.684 * [taylor]: Taking taylor expansion of y in y 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.684 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.685 * [taylor]: Taking taylor expansion of x in y 3.685 * [backup-simplify]: Simplify x into x 3.685 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.685 * [taylor]: Taking taylor expansion of 4.0 in y 3.685 * [backup-simplify]: Simplify 4.0 into 4.0 3.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.685 * [taylor]: Taking taylor expansion of y in y 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [backup-simplify]: Simplify (* 1 1) into 1 3.685 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.685 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.685 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.685 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 3.685 * [taylor]: Taking taylor expansion of 4.0 in y 3.685 * [backup-simplify]: Simplify 4.0 into 4.0 3.685 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.685 * [taylor]: Taking taylor expansion of y in y 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.685 * [taylor]: Taking taylor expansion of x in y 3.685 * [backup-simplify]: Simplify x into x 3.685 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.685 * [taylor]: Taking taylor expansion of 4.0 in y 3.685 * [backup-simplify]: Simplify 4.0 into 4.0 3.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.685 * [taylor]: Taking taylor expansion of y in y 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (* 1 1) into 1 3.686 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.686 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.686 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.686 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 3.686 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 3.686 * [taylor]: Taking taylor expansion of 4.0 in x 3.686 * [backup-simplify]: Simplify 4.0 into 4.0 3.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.686 * [taylor]: Taking taylor expansion of x in x 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (* 1 1) into 1 3.687 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 3.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 3.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.689 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.690 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 3.690 * [taylor]: Taking taylor expansion of 0 in x 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.692 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.693 * [backup-simplify]: Simplify (* 1 1) into 1 3.693 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.693 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.693 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 4.0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 4.0 (/ 1 (pow x 4)))) 3.694 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 4.0 (/ 1 (pow x 4))))) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into (- (* 16.0 (/ 1 (pow x 4)))) 3.694 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 3.694 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 3.694 * [taylor]: Taking taylor expansion of 16.0 in x 3.694 * [backup-simplify]: Simplify 16.0 into 16.0 3.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.694 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.694 * [taylor]: Taking taylor expansion of x in x 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (* 1 1) into 1 3.695 * [backup-simplify]: Simplify (* 1 1) into 1 3.695 * [backup-simplify]: Simplify (/ 1 1) into 1 3.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.706 * [backup-simplify]: Simplify (- 0) into 0 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 3.708 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 3.708 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.708 * [taylor]: Taking taylor expansion of 4.0 in x 3.708 * [backup-simplify]: Simplify 4.0 into 4.0 3.708 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.708 * [taylor]: Taking taylor expansion of x in x 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 1 into 1 3.709 * [backup-simplify]: Simplify (* 1 1) into 1 3.709 * [backup-simplify]: Simplify (/ 1 1) into 1 3.709 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.709 * [taylor]: Taking taylor expansion of 4.0 in x 3.709 * [backup-simplify]: Simplify 4.0 into 4.0 3.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.709 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.709 * [taylor]: Taking taylor expansion of y in x 3.709 * [backup-simplify]: Simplify y into y 3.709 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.709 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.709 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.709 * [taylor]: Taking taylor expansion of y in x 3.709 * [backup-simplify]: Simplify y into y 3.709 * [backup-simplify]: Simplify (+ 1 0) into 1 3.709 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.710 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.710 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 3.710 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.710 * [taylor]: Taking taylor expansion of 4.0 in y 3.710 * [backup-simplify]: Simplify 4.0 into 4.0 3.710 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.710 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.710 * [taylor]: Taking taylor expansion of x in y 3.710 * [backup-simplify]: Simplify x into x 3.710 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.710 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.710 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.710 * [taylor]: Taking taylor expansion of 4.0 in y 3.710 * [backup-simplify]: Simplify 4.0 into 4.0 3.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.710 * [taylor]: Taking taylor expansion of y in y 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (* 1 1) into 1 3.711 * [backup-simplify]: Simplify (/ 1 1) into 1 3.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.711 * [taylor]: Taking taylor expansion of y in y 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.711 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.711 * [backup-simplify]: Simplify (* 1 1) into 1 3.712 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.712 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 3.712 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.712 * [taylor]: Taking taylor expansion of 4.0 in y 3.712 * [backup-simplify]: Simplify 4.0 into 4.0 3.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.712 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.712 * [taylor]: Taking taylor expansion of x in y 3.712 * [backup-simplify]: Simplify x into x 3.712 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.712 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.712 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.712 * [taylor]: Taking taylor expansion of 4.0 in y 3.712 * [backup-simplify]: Simplify 4.0 into 4.0 3.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.712 * [taylor]: Taking taylor expansion of y in y 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (* 1 1) into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.713 * [taylor]: Taking taylor expansion of y in y 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.713 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.714 * [backup-simplify]: Simplify (* 1 1) into 1 3.714 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.714 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 3.714 * [taylor]: Taking taylor expansion of 1.0 in x 3.714 * [backup-simplify]: Simplify 1.0 into 1.0 3.714 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.717 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 3.717 * [taylor]: Taking taylor expansion of 0 in x 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.721 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.722 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 3.723 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 3.723 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 3.723 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 3.723 * [taylor]: Taking taylor expansion of 0.25 in x 3.723 * [backup-simplify]: Simplify 0.25 into 0.25 3.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.723 * [taylor]: Taking taylor expansion of x in x 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (* 1 1) into 1 3.724 * [backup-simplify]: Simplify (/ 1 1) into 1 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.729 * [backup-simplify]: Simplify (- 0) into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 3.730 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 3.730 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.730 * [taylor]: Taking taylor expansion of 4.0 in x 3.730 * [backup-simplify]: Simplify 4.0 into 4.0 3.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.730 * [taylor]: Taking taylor expansion of x in x 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify 1 into 1 3.730 * [backup-simplify]: Simplify (* 1 1) into 1 3.730 * [backup-simplify]: Simplify (/ 1 1) into 1 3.730 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.730 * [taylor]: Taking taylor expansion of 4.0 in x 3.730 * [backup-simplify]: Simplify 4.0 into 4.0 3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.730 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.730 * [taylor]: Taking taylor expansion of y in x 3.731 * [backup-simplify]: Simplify y into y 3.731 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.731 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.731 * [taylor]: Taking taylor expansion of y in x 3.731 * [backup-simplify]: Simplify y into y 3.731 * [backup-simplify]: Simplify (+ 1 0) into 1 3.731 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.731 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.731 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 3.731 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.731 * [taylor]: Taking taylor expansion of 4.0 in y 3.731 * [backup-simplify]: Simplify 4.0 into 4.0 3.731 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.731 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.731 * [taylor]: Taking taylor expansion of x in y 3.731 * [backup-simplify]: Simplify x into x 3.732 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.732 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.732 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.732 * [taylor]: Taking taylor expansion of 4.0 in y 3.732 * [backup-simplify]: Simplify 4.0 into 4.0 3.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.732 * [taylor]: Taking taylor expansion of y in y 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify (* 1 1) into 1 3.733 * [backup-simplify]: Simplify (/ 1 1) into 1 3.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.733 * [taylor]: Taking taylor expansion of y in y 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.733 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.733 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.734 * [backup-simplify]: Simplify (* 1 1) into 1 3.734 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.734 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 3.734 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.734 * [taylor]: Taking taylor expansion of 4.0 in y 3.734 * [backup-simplify]: Simplify 4.0 into 4.0 3.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.734 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.734 * [taylor]: Taking taylor expansion of x in y 3.734 * [backup-simplify]: Simplify x into x 3.734 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.734 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.734 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.734 * [taylor]: Taking taylor expansion of 4.0 in y 3.734 * [backup-simplify]: Simplify 4.0 into 4.0 3.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.735 * [taylor]: Taking taylor expansion of y in y 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (* 1 1) into 1 3.735 * [backup-simplify]: Simplify (/ 1 1) into 1 3.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.735 * [taylor]: Taking taylor expansion of y in y 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.736 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.736 * [backup-simplify]: Simplify (* 1 1) into 1 3.736 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.737 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 3.737 * [taylor]: Taking taylor expansion of 1.0 in x 3.737 * [backup-simplify]: Simplify 1.0 into 1.0 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.739 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.740 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 3.740 * [taylor]: Taking taylor expansion of 0 in x 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.742 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.742 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.743 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 3.744 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 3.744 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 3.744 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 3.744 * [taylor]: Taking taylor expansion of 0.25 in x 3.744 * [backup-simplify]: Simplify 0.25 into 0.25 3.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.744 * [taylor]: Taking taylor expansion of x in x 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 1 into 1 3.744 * [backup-simplify]: Simplify (* 1 1) into 1 3.744 * [backup-simplify]: Simplify (/ 1 1) into 1 3.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.749 * [backup-simplify]: Simplify (- 0) into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.750 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) into (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) 3.750 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in (x y) around 0 3.750 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in y 3.750 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.750 * [taylor]: Taking taylor expansion of x in y 3.750 * [backup-simplify]: Simplify x into x 3.750 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.750 * [taylor]: Taking taylor expansion of x in y 3.750 * [backup-simplify]: Simplify x into x 3.750 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.750 * [taylor]: Taking taylor expansion of 4.0 in y 3.750 * [backup-simplify]: Simplify 4.0 into 4.0 3.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.750 * [taylor]: Taking taylor expansion of y in y 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.750 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.750 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.751 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.751 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 3.751 * [taylor]: Taking taylor expansion of 4.0 in y 3.751 * [backup-simplify]: Simplify 4.0 into 4.0 3.751 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.751 * [taylor]: Taking taylor expansion of y in y 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.751 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.751 * [taylor]: Taking taylor expansion of x in y 3.751 * [backup-simplify]: Simplify x into x 3.751 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.751 * [taylor]: Taking taylor expansion of 4.0 in y 3.751 * [backup-simplify]: Simplify 4.0 into 4.0 3.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.751 * [taylor]: Taking taylor expansion of y in y 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (* 1 1) into 1 3.751 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.751 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.751 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.752 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 3.752 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.752 * [taylor]: Taking taylor expansion of x in x 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.752 * [taylor]: Taking taylor expansion of x in x 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.752 * [taylor]: Taking taylor expansion of 4.0 in x 3.752 * [backup-simplify]: Simplify 4.0 into 4.0 3.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.752 * [taylor]: Taking taylor expansion of y in x 3.752 * [backup-simplify]: Simplify y into y 3.752 * [backup-simplify]: Simplify (* 1 1) into 1 3.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.752 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.752 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.752 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 3.752 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 3.752 * [taylor]: Taking taylor expansion of 4.0 in x 3.752 * [backup-simplify]: Simplify 4.0 into 4.0 3.753 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.753 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.753 * [taylor]: Taking taylor expansion of y in x 3.753 * [backup-simplify]: Simplify y into y 3.753 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.753 * [taylor]: Taking taylor expansion of x in x 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.753 * [taylor]: Taking taylor expansion of 4.0 in x 3.753 * [backup-simplify]: Simplify 4.0 into 4.0 3.753 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.753 * [taylor]: Taking taylor expansion of y in x 3.753 * [backup-simplify]: Simplify y into y 3.753 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.753 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.753 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.753 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.753 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 3.753 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 3.753 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.753 * [taylor]: Taking taylor expansion of x in x 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.753 * [taylor]: Taking taylor expansion of x in x 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.753 * [taylor]: Taking taylor expansion of 4.0 in x 3.753 * [backup-simplify]: Simplify 4.0 into 4.0 3.753 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.753 * [taylor]: Taking taylor expansion of y in x 3.753 * [backup-simplify]: Simplify y into y 3.754 * [backup-simplify]: Simplify (* 1 1) into 1 3.754 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.754 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.754 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.754 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 3.754 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 3.754 * [taylor]: Taking taylor expansion of 4.0 in x 3.754 * [backup-simplify]: Simplify 4.0 into 4.0 3.754 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.754 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.754 * [taylor]: Taking taylor expansion of y in x 3.754 * [backup-simplify]: Simplify y into y 3.754 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.754 * [taylor]: Taking taylor expansion of x in x 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.754 * [taylor]: Taking taylor expansion of 4.0 in x 3.754 * [backup-simplify]: Simplify 4.0 into 4.0 3.754 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.754 * [taylor]: Taking taylor expansion of y in x 3.754 * [backup-simplify]: Simplify y into y 3.754 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.754 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.755 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.755 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.755 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 3.755 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0 3.755 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.756 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.756 * [taylor]: Taking taylor expansion of (- 1.0) in y 3.756 * [taylor]: Taking taylor expansion of 1.0 in y 3.756 * [backup-simplify]: Simplify 1.0 into 1.0 3.756 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.756 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.757 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.757 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.757 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.757 * [backup-simplify]: Simplify (+ 0 0) into 0 3.757 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0 3.758 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0 3.758 * [backup-simplify]: Simplify (- 0) into 0 3.758 * [backup-simplify]: Simplify (+ 0 0) into 0 3.758 * [taylor]: Taking taylor expansion of 0 in y 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify (- 0) into 0 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.759 * [backup-simplify]: Simplify (* 1 1) into 1 3.759 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.760 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.760 * [backup-simplify]: Simplify (+ 1 0) into 1 3.761 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 2)))) 3.761 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2)))) 3.761 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow y 2))))) into (* 0.25 (/ 1 (pow y 2))) 3.761 * [backup-simplify]: Simplify (+ (/ 0.25 (pow y 2)) (* 0.25 (/ 1 (pow y 2)))) into (* 0.5 (/ 1 (pow y 2))) 3.761 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 3.761 * [taylor]: Taking taylor expansion of 0.5 in y 3.762 * [backup-simplify]: Simplify 0.5 into 0.5 3.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.762 * [taylor]: Taking taylor expansion of y in y 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [backup-simplify]: Simplify (* 1 1) into 1 3.762 * [backup-simplify]: Simplify (/ 1 1) into 1 3.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.764 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify (- 0) into 0 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.765 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.766 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 3.767 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.768 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.769 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.769 * [backup-simplify]: Simplify (+ 0 0) into 0 3.769 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (- (* 0.0625 (/ 1 (pow y 2)))) (/ 0 (* 4.0 (pow y 2)))))) into 0 3.770 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25)))) into 0 3.770 * [backup-simplify]: Simplify (- 0) into 0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [taylor]: Taking taylor expansion of 0 in y 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.771 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) 3.771 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 3.771 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 3.771 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.771 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.771 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.771 * [taylor]: Taking taylor expansion of x in y 3.771 * [backup-simplify]: Simplify x into x 3.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.772 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.772 * [taylor]: Taking taylor expansion of x in y 3.772 * [backup-simplify]: Simplify x into x 3.772 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.772 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.772 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.772 * [taylor]: Taking taylor expansion of 4.0 in y 3.772 * [backup-simplify]: Simplify 4.0 into 4.0 3.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.772 * [taylor]: Taking taylor expansion of y in y 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 1 into 1 3.772 * [backup-simplify]: Simplify (* 1 1) into 1 3.772 * [backup-simplify]: Simplify (/ 1 1) into 1 3.772 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.773 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.773 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.773 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 3.773 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 3.773 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 3.773 * [taylor]: Taking taylor expansion of 4.0 in y 3.773 * [backup-simplify]: Simplify 4.0 into 4.0 3.773 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.773 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.773 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.773 * [taylor]: Taking taylor expansion of x in y 3.773 * [backup-simplify]: Simplify x into x 3.773 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.774 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.774 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.774 * [taylor]: Taking taylor expansion of 4.0 in y 3.774 * [backup-simplify]: Simplify 4.0 into 4.0 3.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.774 * [taylor]: Taking taylor expansion of y in y 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (* 1 1) into 1 3.774 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.774 * [taylor]: Taking taylor expansion of y in y 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.775 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.775 * [backup-simplify]: Simplify (* 1 1) into 1 3.775 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.775 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 3.776 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 3.776 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.776 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.776 * [taylor]: Taking taylor expansion of x in x 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.776 * [taylor]: Taking taylor expansion of x in x 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (* 1 1) into 1 3.776 * [backup-simplify]: Simplify (/ 1 1) into 1 3.776 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.776 * [taylor]: Taking taylor expansion of 4.0 in x 3.776 * [backup-simplify]: Simplify 4.0 into 4.0 3.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.776 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.776 * [taylor]: Taking taylor expansion of y in x 3.776 * [backup-simplify]: Simplify y into y 3.776 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.777 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.777 * [backup-simplify]: Simplify (* 1 1) into 1 3.777 * [backup-simplify]: Simplify (+ 1 0) into 1 3.777 * [backup-simplify]: Simplify (* 1 1) into 1 3.777 * [backup-simplify]: Simplify (/ 1 1) into 1 3.777 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.778 * [taylor]: Taking taylor expansion of 4.0 in x 3.778 * [backup-simplify]: Simplify 4.0 into 4.0 3.778 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.778 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.778 * [taylor]: Taking taylor expansion of x in x 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (* 1 1) into 1 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.778 * [taylor]: Taking taylor expansion of 4.0 in x 3.778 * [backup-simplify]: Simplify 4.0 into 4.0 3.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.778 * [taylor]: Taking taylor expansion of y in x 3.778 * [backup-simplify]: Simplify y into y 3.778 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.778 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.778 * [taylor]: Taking taylor expansion of y in x 3.779 * [backup-simplify]: Simplify y into y 3.779 * [backup-simplify]: Simplify (+ 1 0) into 1 3.779 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.779 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.779 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 3.779 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.779 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.779 * [taylor]: Taking taylor expansion of x in x 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.779 * [taylor]: Taking taylor expansion of x in x 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (* 1 1) into 1 3.780 * [backup-simplify]: Simplify (/ 1 1) into 1 3.780 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.780 * [taylor]: Taking taylor expansion of 4.0 in x 3.780 * [backup-simplify]: Simplify 4.0 into 4.0 3.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.780 * [taylor]: Taking taylor expansion of y in x 3.780 * [backup-simplify]: Simplify y into y 3.780 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.780 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.780 * [backup-simplify]: Simplify (* 1 1) into 1 3.780 * [backup-simplify]: Simplify (+ 1 0) into 1 3.781 * [backup-simplify]: Simplify (* 1 1) into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.781 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.781 * [taylor]: Taking taylor expansion of 4.0 in x 3.781 * [backup-simplify]: Simplify 4.0 into 4.0 3.781 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.781 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (* 1 1) into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.782 * [taylor]: Taking taylor expansion of 4.0 in x 3.782 * [backup-simplify]: Simplify 4.0 into 4.0 3.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.782 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.782 * [taylor]: Taking taylor expansion of y in x 3.782 * [backup-simplify]: Simplify y into y 3.782 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.782 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.782 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.782 * [taylor]: Taking taylor expansion of y in x 3.782 * [backup-simplify]: Simplify y into y 3.782 * [backup-simplify]: Simplify (+ 1 0) into 1 3.782 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.782 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.782 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.783 * [backup-simplify]: Simplify (+ 1 0) into 1 3.783 * [taylor]: Taking taylor expansion of 1 in y 3.783 * [backup-simplify]: Simplify 1 into 1 3.783 * [backup-simplify]: Simplify 1 into 1 3.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [taylor]: Taking taylor expansion of 0 in y 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.787 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.788 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.788 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.788 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.789 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 3.789 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.789 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.789 * [taylor]: Taking taylor expansion of 8.0 in y 3.789 * [backup-simplify]: Simplify 8.0 into 8.0 3.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.789 * [taylor]: Taking taylor expansion of y in y 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (* 1 1) into 1 3.789 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.792 * [backup-simplify]: Simplify (- 0) into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.794 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.794 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.798 * [backup-simplify]: Simplify (+ 0 0) into 0 3.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.799 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.799 * [backup-simplify]: Simplify (- 0) into 0 3.804 * [backup-simplify]: Simplify (+ 0 0) into 0 3.804 * [taylor]: Taking taylor expansion of 0 in y 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) 3.805 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 3.805 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 3.805 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.805 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.805 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.805 * [taylor]: Taking taylor expansion of x in y 3.805 * [backup-simplify]: Simplify x into x 3.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.805 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.805 * [taylor]: Taking taylor expansion of x in y 3.805 * [backup-simplify]: Simplify x into x 3.805 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.805 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.806 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.806 * [taylor]: Taking taylor expansion of 4.0 in y 3.806 * [backup-simplify]: Simplify 4.0 into 4.0 3.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.806 * [taylor]: Taking taylor expansion of y in y 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [backup-simplify]: Simplify (* 1 1) into 1 3.806 * [backup-simplify]: Simplify (/ 1 1) into 1 3.807 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.807 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.807 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.807 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 3.807 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 3.807 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 3.807 * [taylor]: Taking taylor expansion of 4.0 in y 3.807 * [backup-simplify]: Simplify 4.0 into 4.0 3.807 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.807 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.807 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.807 * [taylor]: Taking taylor expansion of x in y 3.807 * [backup-simplify]: Simplify x into x 3.808 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.808 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.808 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.808 * [taylor]: Taking taylor expansion of 4.0 in y 3.808 * [backup-simplify]: Simplify 4.0 into 4.0 3.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.808 * [taylor]: Taking taylor expansion of y in y 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (* 1 1) into 1 3.808 * [backup-simplify]: Simplify (/ 1 1) into 1 3.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.808 * [taylor]: Taking taylor expansion of y in y 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.809 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.809 * [backup-simplify]: Simplify (* 1 1) into 1 3.809 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.810 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 3.810 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 3.810 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.810 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.810 * [taylor]: Taking taylor expansion of x in x 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.810 * [taylor]: Taking taylor expansion of x in x 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.810 * [backup-simplify]: Simplify (* 1 1) into 1 3.810 * [backup-simplify]: Simplify (/ 1 1) into 1 3.810 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.810 * [taylor]: Taking taylor expansion of 4.0 in x 3.810 * [backup-simplify]: Simplify 4.0 into 4.0 3.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.810 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.810 * [taylor]: Taking taylor expansion of y in x 3.810 * [backup-simplify]: Simplify y into y 3.810 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.811 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.811 * [backup-simplify]: Simplify (* 1 1) into 1 3.811 * [backup-simplify]: Simplify (+ 1 0) into 1 3.811 * [backup-simplify]: Simplify (* 1 1) into 1 3.812 * [backup-simplify]: Simplify (/ 1 1) into 1 3.812 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.812 * [taylor]: Taking taylor expansion of 4.0 in x 3.812 * [backup-simplify]: Simplify 4.0 into 4.0 3.812 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.812 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.812 * [taylor]: Taking taylor expansion of x in x 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify (* 1 1) into 1 3.812 * [backup-simplify]: Simplify (/ 1 1) into 1 3.812 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.812 * [taylor]: Taking taylor expansion of 4.0 in x 3.812 * [backup-simplify]: Simplify 4.0 into 4.0 3.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.812 * [taylor]: Taking taylor expansion of y in x 3.812 * [backup-simplify]: Simplify y into y 3.812 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.813 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.813 * [taylor]: Taking taylor expansion of y in x 3.813 * [backup-simplify]: Simplify y into y 3.813 * [backup-simplify]: Simplify (+ 1 0) into 1 3.813 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.813 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.813 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.813 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 3.813 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.813 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.813 * [taylor]: Taking taylor expansion of x in x 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.813 * [taylor]: Taking taylor expansion of x in x 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.814 * [backup-simplify]: Simplify (* 1 1) into 1 3.814 * [backup-simplify]: Simplify (/ 1 1) into 1 3.814 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.814 * [taylor]: Taking taylor expansion of 4.0 in x 3.814 * [backup-simplify]: Simplify 4.0 into 4.0 3.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.814 * [taylor]: Taking taylor expansion of y in x 3.814 * [backup-simplify]: Simplify y into y 3.814 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.814 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.814 * [backup-simplify]: Simplify (* 1 1) into 1 3.815 * [backup-simplify]: Simplify (+ 1 0) into 1 3.815 * [backup-simplify]: Simplify (* 1 1) into 1 3.815 * [backup-simplify]: Simplify (/ 1 1) into 1 3.815 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.815 * [taylor]: Taking taylor expansion of 4.0 in x 3.815 * [backup-simplify]: Simplify 4.0 into 4.0 3.815 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.815 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.815 * [taylor]: Taking taylor expansion of x in x 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 1 into 1 3.815 * [backup-simplify]: Simplify (* 1 1) into 1 3.816 * [backup-simplify]: Simplify (/ 1 1) into 1 3.816 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.816 * [taylor]: Taking taylor expansion of 4.0 in x 3.816 * [backup-simplify]: Simplify 4.0 into 4.0 3.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.816 * [taylor]: Taking taylor expansion of y in x 3.816 * [backup-simplify]: Simplify y into y 3.816 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.816 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.816 * [taylor]: Taking taylor expansion of y in x 3.816 * [backup-simplify]: Simplify y into y 3.816 * [backup-simplify]: Simplify (+ 1 0) into 1 3.816 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.816 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.816 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.817 * [backup-simplify]: Simplify (+ 1 0) into 1 3.817 * [taylor]: Taking taylor expansion of 1 in y 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (+ 0 0) into 0 3.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify (+ 0 0) into 0 3.819 * [taylor]: Taking taylor expansion of 0 in y 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.821 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.821 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.822 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 3.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.823 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.824 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.824 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 3.824 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.824 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.824 * [taylor]: Taking taylor expansion of 8.0 in y 3.824 * [backup-simplify]: Simplify 8.0 into 8.0 3.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.824 * [taylor]: Taking taylor expansion of y in y 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify 1 into 1 3.825 * [backup-simplify]: Simplify (* 1 1) into 1 3.825 * [backup-simplify]: Simplify (/ 1 1) into 1 3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.829 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.829 * [backup-simplify]: Simplify (- 0) into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.832 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.833 * [backup-simplify]: Simplify (+ 0 0) into 0 3.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.837 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 3.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.838 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.839 * [backup-simplify]: Simplify (- 0) into 0 3.839 * [backup-simplify]: Simplify (+ 0 0) into 0 3.839 * [taylor]: Taking taylor expansion of 0 in y 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.839 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2))) 3.839 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 3.840 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.840 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.840 * [taylor]: Taking taylor expansion of x in y 3.840 * [backup-simplify]: Simplify x into x 3.840 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.840 * [taylor]: Taking taylor expansion of 4.0 in y 3.840 * [backup-simplify]: Simplify 4.0 into 4.0 3.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.840 * [taylor]: Taking taylor expansion of y in y 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify 1 into 1 3.840 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.840 * [taylor]: Taking taylor expansion of (pow x 2) 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 3.840 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.840 * [taylor]: Taking taylor expansion of 4.0 in x 3.840 * [backup-simplify]: Simplify 4.0 into 4.0 3.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.840 * [taylor]: Taking taylor expansion of y in x 3.840 * [backup-simplify]: Simplify y into y 3.840 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.840 * [taylor]: Taking taylor expansion of (pow x 2) 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 3.840 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.840 * [taylor]: Taking taylor expansion of 4.0 in x 3.840 * [backup-simplify]: Simplify 4.0 into 4.0 3.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.840 * [taylor]: Taking taylor expansion of y in x 3.840 * [backup-simplify]: Simplify y into y 3.840 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.840 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.840 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.840 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.840 * [taylor]: Taking taylor expansion of 4.0 in y 3.840 * [backup-simplify]: Simplify 4.0 into 4.0 3.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.841 * [taylor]: Taking taylor expansion of y in y 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.841 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.841 * [backup-simplify]: Simplify (+ 0 0) into 0 3.841 * [taylor]: Taking taylor expansion of 0 in y 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify (* 1 1) into 1 3.842 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.842 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.843 * [backup-simplify]: Simplify (+ 1 0) into 1 3.843 * [taylor]: Taking taylor expansion of 1 in y 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify (* 1 1) into 1 3.843 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.843 * [backup-simplify]: Simplify 4.0 into 4.0 3.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.844 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.845 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.845 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [taylor]: Taking taylor expansion of 0 in y 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.846 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.846 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.847 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.848 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.849 * [taylor]: Taking taylor expansion of 0 in y 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 3.849 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 3.849 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 3.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.849 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.849 * [taylor]: Taking taylor expansion of x in y 3.849 * [backup-simplify]: Simplify x into x 3.849 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.849 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.849 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.849 * [taylor]: Taking taylor expansion of 4.0 in y 3.850 * [backup-simplify]: Simplify 4.0 into 4.0 3.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.850 * [taylor]: Taking taylor expansion of y in y 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (* 1 1) into 1 3.850 * [backup-simplify]: Simplify (/ 1 1) into 1 3.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.850 * [taylor]: Taking taylor expansion of x in x 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (* 1 1) into 1 3.851 * [backup-simplify]: Simplify (/ 1 1) into 1 3.851 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.851 * [taylor]: Taking taylor expansion of 4.0 in x 3.851 * [backup-simplify]: Simplify 4.0 into 4.0 3.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.851 * [taylor]: Taking taylor expansion of y in x 3.851 * [backup-simplify]: Simplify y into y 3.851 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.851 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.851 * [taylor]: Taking taylor expansion of x in x 3.851 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify 1 into 1 3.851 * [backup-simplify]: Simplify (* 1 1) into 1 3.852 * [backup-simplify]: Simplify (/ 1 1) into 1 3.852 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.852 * [taylor]: Taking taylor expansion of 4.0 in x 3.852 * [backup-simplify]: Simplify 4.0 into 4.0 3.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.852 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.852 * [taylor]: Taking taylor expansion of y in x 3.852 * [backup-simplify]: Simplify y into y 3.852 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.852 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.852 * [backup-simplify]: Simplify (+ 1 0) into 1 3.852 * [taylor]: Taking taylor expansion of 1 in y 3.852 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (+ 0 0) into 0 3.854 * [taylor]: Taking taylor expansion of 0 in y 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.855 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.855 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.855 * [taylor]: Taking taylor expansion of 4.0 in y 3.855 * [backup-simplify]: Simplify 4.0 into 4.0 3.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.855 * [taylor]: Taking taylor expansion of y in y 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 1 into 1 3.855 * [backup-simplify]: Simplify (* 1 1) into 1 3.855 * [backup-simplify]: Simplify (/ 1 1) into 1 3.856 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.856 * [backup-simplify]: Simplify 4.0 into 4.0 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.858 * [taylor]: Taking taylor expansion of 0 in y 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.862 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [taylor]: Taking taylor expansion of 0 in y 3.862 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 3.864 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 3.864 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 3.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.864 * [taylor]: Taking taylor expansion of x in y 3.864 * [backup-simplify]: Simplify x into x 3.865 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.865 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.865 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.865 * [taylor]: Taking taylor expansion of 4.0 in y 3.865 * [backup-simplify]: Simplify 4.0 into 4.0 3.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.865 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 3.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 3.866 * [backup-simplify]: Simplify (* 1 1) into 1 3.866 * [backup-simplify]: Simplify (/ 1 1) into 1 3.866 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.866 * [taylor]: Taking taylor expansion of 4.0 in x 3.866 * [backup-simplify]: Simplify 4.0 into 4.0 3.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.866 * [taylor]: Taking taylor expansion of y in x 3.866 * [backup-simplify]: Simplify y into y 3.866 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.866 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (* 1 1) into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.867 * [taylor]: Taking taylor expansion of 4.0 in x 3.867 * [backup-simplify]: Simplify 4.0 into 4.0 3.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 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 (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 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 (+ (* 1 0) (* 0 1)) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.869 * [taylor]: Taking taylor expansion of 0 in y 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.870 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.870 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.870 * [taylor]: Taking taylor expansion of 4.0 in y 3.870 * [backup-simplify]: Simplify 4.0 into 4.0 3.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.870 * [taylor]: Taking taylor expansion of y in y 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 1 into 1 3.870 * [backup-simplify]: Simplify (* 1 1) into 1 3.871 * [backup-simplify]: Simplify (/ 1 1) into 1 3.871 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.871 * [backup-simplify]: Simplify 4.0 into 4.0 3.871 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [taylor]: Taking taylor expansion of 0 in y 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.877 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.877 * [backup-simplify]: Simplify (+ 0 0) into 0 3.877 * [taylor]: Taking taylor expansion of 0 in y 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.878 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 3.879 * * * [progress]: simplifying candidates 3.880 * [simplify]: Simplifying: (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x 1) (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) 1) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (- (+ (+ (log y) (log 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (+ (log (* y 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* (* y 4.0) y)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* y 4.0) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) 1) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) 1) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (log (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (* (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (+ (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (- (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) 0 0 0 0 0 0 (- 1.0) 1 1 (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) 3.883 * * [simplify]: Extracting # 0 : cost 0 3.883 * * [simplify]: Extracting # 1 : cost 0 3.883 * * [simplify]: Extracting # 2 : cost 0 3.883 * * [simplify]: Extracting # 3 : cost 0 3.884 * * [simplify]: Extracting # 4 : cost 0 3.884 * * [simplify]: Extracting # 5 : cost 0 3.884 * * [simplify]: Extracting # 6 : cost 0 3.884 * * [simplify]: Extracting # 7 : cost 0 3.884 * * [simplify]: iteration 0 : 142 enodes (cost 2132 ) 3.937 * * [simplify]: Extracting # 0 : cost 0 3.937 * * [simplify]: Extracting # 1 : cost 0 3.938 * * [simplify]: Extracting # 2 : cost 0 3.938 * * [simplify]: Extracting # 3 : cost 0 3.939 * * [simplify]: Extracting # 4 : cost 0 3.939 * * [simplify]: iteration 1 : 384 enodes (cost 2013 ) 4.236 * * [simplify]: Extracting # 0 : cost 0 4.239 * * [simplify]: Extracting # 1 : cost 0 4.242 * * [simplify]: Extracting # 2 : cost 0 4.245 * * [simplify]: Extracting # 3 : cost 0 4.248 * * [simplify]: Extracting # 4 : cost 0 4.251 * * [simplify]: Extracting # 5 : cost 0 4.254 * * [simplify]: iteration 2 : 1397 enodes (cost 1747 ) 5.255 * * [simplify]: Extracting # 0 : cost 0 5.265 * * [simplify]: Extracting # 1 : cost 0 5.276 * * [simplify]: Extracting # 2 : cost 0 5.286 * * [simplify]: Extracting # 3 : cost 0 5.294 * * [simplify]: Extracting # 4 : cost 0 5.303 * * [simplify]: iteration done: 5000 enodes (cost 1747 ) 5.304 * [simplify]: Simplified to: (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) x (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* x x) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ x (/ (+ (pow x 6) (pow (* (* y 4.0) y) 3)) x)) (/ (* x x) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3))))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (* y 4.0) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* 4.0 (pow y 2)) (/ (+ (* x x) (* 4.0 (pow y 2))) y) (/ y (/ (+ (pow x 6) (pow (* (* y 4.0) y) 3)) (* y 4.0))) (/ (* 4.0 (pow y 2)) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3))))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (log (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (pow (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) 3) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (* x x) (* (* y 4.0) y)) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3)) (+ (/ (/ (pow x 4) (+ (pow x 2) (* 4.0 (pow y 2)))) (+ (pow x 2) (* 4.0 (pow y 2)))) (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (/ (/ (pow x 4) (+ (pow x 2) (* 4.0 (pow y 2)))) (+ (pow x 2) (* 4.0 (pow y 2)))) (/ (/ (* (* 4.0 4.0) (pow y 3)) (/ (+ (* x x) (* (* y 4.0) y)) y)) (+ (pow x 2) (* 4.0 (pow y 2))))) (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (- (/ x (/ (+ (pow x 6) (pow (* (* y 4.0) y) 3)) x)) (/ y (/ (+ (pow x 6) (pow (* (* y 4.0) y) 3)) (* y 4.0)))) (- (/ (* x x) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3))))) (/ (* 4.0 (pow y 2)) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3)))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (+ (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (pow (+ (* x x) (* (* y 4.0) y)) 3) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x))) (pow x 4)) (- (pow x 4) (* y (* (* 4.0 4.0) (pow y 3)))) (- (* x x) (* (* y 4.0) y)) 0 0 0 0 0 0 (- 1.0) 1 1 (+ (* x x) (* 4.0 (pow y 2))) (+ (* x x) (* 4.0 (pow y 2))) (+ (* x x) (* 4.0 (pow y 2))) 5.305 * * * [progress]: adding candidates to table 5.521 * * [progress]: iteration 3 / 4 5.521 * * * [progress]: picking best candidate 5.531 * * * * [pick]: Picked # 5.531 * * * [progress]: localizing error 5.544 * * * [progress]: generating rewritten candidates 5.544 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.561 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 5.619 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.665 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.794 * * * [progress]: generating series expansions 5.795 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.795 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) 5.795 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 5.795 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 5.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.796 * [taylor]: Taking taylor expansion of x in y 5.796 * [backup-simplify]: Simplify x into x 5.796 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 5.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.796 * [taylor]: Taking taylor expansion of x in y 5.796 * [backup-simplify]: Simplify x into x 5.796 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 5.796 * [taylor]: Taking taylor expansion of 4.0 in y 5.796 * [backup-simplify]: Simplify 4.0 into 4.0 5.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.796 * [taylor]: Taking taylor expansion of y in y 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.796 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.796 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 5.796 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 5.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.796 * [taylor]: Taking taylor expansion of x in x 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.796 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 5.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.796 * [taylor]: Taking taylor expansion of x in x 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.796 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 5.796 * [taylor]: Taking taylor expansion of 4.0 in x 5.796 * [backup-simplify]: Simplify 4.0 into 4.0 5.796 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.796 * [taylor]: Taking taylor expansion of y in x 5.796 * [backup-simplify]: Simplify y into y 5.797 * [backup-simplify]: Simplify (* 1 1) into 1 5.797 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.797 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 5.797 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 5.797 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 5.797 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 5.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.797 * [taylor]: Taking taylor expansion of x in x 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 1 into 1 5.798 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 5.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.798 * [taylor]: Taking taylor expansion of x in x 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 5.798 * [taylor]: Taking taylor expansion of 4.0 in x 5.798 * [backup-simplify]: Simplify 4.0 into 4.0 5.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.798 * [taylor]: Taking taylor expansion of y in x 5.798 * [backup-simplify]: Simplify y into y 5.798 * [backup-simplify]: Simplify (* 1 1) into 1 5.798 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.798 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 5.798 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 5.798 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 5.798 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 5.798 * [taylor]: Taking taylor expansion of 0.25 in y 5.798 * [backup-simplify]: Simplify 0.25 into 0.25 5.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.798 * [taylor]: Taking taylor expansion of y in y 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify 1 into 1 5.799 * [backup-simplify]: Simplify (* 1 1) into 1 5.799 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 5.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 5.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.801 * [backup-simplify]: Simplify 0 into 0 5.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.802 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.802 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 5.802 * [backup-simplify]: Simplify (+ 0 0) into 0 5.803 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 5.803 * [taylor]: Taking taylor expansion of 0 in y 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.805 * [backup-simplify]: Simplify (* 1 1) into 1 5.805 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.806 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 5.806 * [backup-simplify]: Simplify (+ 1 0) into 1 5.806 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 5.806 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 5.806 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 5.806 * [taylor]: Taking taylor expansion of 0.0625 in y 5.806 * [backup-simplify]: Simplify 0.0625 into 0.0625 5.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 5.806 * [taylor]: Taking taylor expansion of (pow y 4) in y 5.806 * [taylor]: Taking taylor expansion of y in y 5.806 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify 1 into 1 5.807 * [backup-simplify]: Simplify (* 1 1) into 1 5.807 * [backup-simplify]: Simplify (* 1 1) into 1 5.807 * [backup-simplify]: Simplify (/ 1 1) into 1 5.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.814 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.814 * [backup-simplify]: Simplify (- 0) into 0 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 5.816 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 5.816 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 5.816 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 5.816 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.816 * [taylor]: Taking taylor expansion of x in y 5.816 * [backup-simplify]: Simplify x into x 5.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 5.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.816 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.816 * [taylor]: Taking taylor expansion of x in y 5.816 * [backup-simplify]: Simplify x into x 5.816 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.816 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.816 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.816 * [taylor]: Taking taylor expansion of 4.0 in y 5.816 * [backup-simplify]: Simplify 4.0 into 4.0 5.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.816 * [taylor]: Taking taylor expansion of y in y 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (* 1 1) into 1 5.820 * [backup-simplify]: Simplify (/ 1 1) into 1 5.820 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.821 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.821 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 5.821 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 5.821 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 5.821 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 5.821 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 5.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.821 * [taylor]: Taking taylor expansion of x in x 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.821 * [taylor]: Taking taylor expansion of x in x 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.822 * [backup-simplify]: Simplify (* 1 1) into 1 5.822 * [backup-simplify]: Simplify (/ 1 1) into 1 5.822 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.822 * [taylor]: Taking taylor expansion of 4.0 in x 5.822 * [backup-simplify]: Simplify 4.0 into 4.0 5.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.822 * [taylor]: Taking taylor expansion of y in x 5.822 * [backup-simplify]: Simplify y into y 5.822 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.822 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.822 * [backup-simplify]: Simplify (* 1 1) into 1 5.823 * [backup-simplify]: Simplify (+ 1 0) into 1 5.823 * [backup-simplify]: Simplify (* 1 1) into 1 5.823 * [backup-simplify]: Simplify (/ 1 1) into 1 5.823 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 5.823 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 5.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.823 * [taylor]: Taking taylor expansion of x in x 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 1 into 1 5.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.823 * [taylor]: Taking taylor expansion of x in x 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 1 into 1 5.824 * [backup-simplify]: Simplify (* 1 1) into 1 5.824 * [backup-simplify]: Simplify (/ 1 1) into 1 5.824 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.824 * [taylor]: Taking taylor expansion of 4.0 in x 5.824 * [backup-simplify]: Simplify 4.0 into 4.0 5.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.824 * [taylor]: Taking taylor expansion of y in x 5.824 * [backup-simplify]: Simplify y into y 5.824 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.824 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.824 * [backup-simplify]: Simplify (* 1 1) into 1 5.825 * [backup-simplify]: Simplify (+ 1 0) into 1 5.825 * [backup-simplify]: Simplify (* 1 1) into 1 5.825 * [backup-simplify]: Simplify (/ 1 1) into 1 5.825 * [taylor]: Taking taylor expansion of 1 in y 5.825 * [backup-simplify]: Simplify 1 into 1 5.825 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.826 * [backup-simplify]: Simplify (+ 0 0) into 0 5.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.827 * [taylor]: Taking taylor expansion of 0 in y 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.829 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 5.829 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 5.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.831 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 5.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 5.832 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 5.832 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.832 * [taylor]: Taking taylor expansion of 4.0 in y 5.832 * [backup-simplify]: Simplify 4.0 into 4.0 5.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.832 * [taylor]: Taking taylor expansion of y in y 5.832 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify 1 into 1 5.833 * [backup-simplify]: Simplify (* 1 1) into 1 5.833 * [backup-simplify]: Simplify (/ 1 1) into 1 5.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.841 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.842 * [backup-simplify]: Simplify (- 0) into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 5.842 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 5.842 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 5.843 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 5.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.843 * [taylor]: Taking taylor expansion of x in y 5.843 * [backup-simplify]: Simplify x into x 5.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 5.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.843 * [taylor]: Taking taylor expansion of x in y 5.843 * [backup-simplify]: Simplify x into x 5.843 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.843 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.843 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.843 * [taylor]: Taking taylor expansion of 4.0 in y 5.843 * [backup-simplify]: Simplify 4.0 into 4.0 5.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.843 * [taylor]: Taking taylor expansion of y in y 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.844 * [backup-simplify]: Simplify (* 1 1) into 1 5.844 * [backup-simplify]: Simplify (/ 1 1) into 1 5.844 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.845 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.845 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 5.845 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 5.845 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 5.845 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 5.845 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 5.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.846 * [taylor]: Taking taylor expansion of x in x 5.846 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.846 * [taylor]: Taking taylor expansion of x in x 5.846 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [backup-simplify]: Simplify (* 1 1) into 1 5.846 * [backup-simplify]: Simplify (/ 1 1) into 1 5.847 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.847 * [taylor]: Taking taylor expansion of 4.0 in x 5.847 * [backup-simplify]: Simplify 4.0 into 4.0 5.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.847 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.847 * [taylor]: Taking taylor expansion of y in x 5.847 * [backup-simplify]: Simplify y into y 5.847 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.847 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.847 * [backup-simplify]: Simplify (* 1 1) into 1 5.848 * [backup-simplify]: Simplify (+ 1 0) into 1 5.848 * [backup-simplify]: Simplify (* 1 1) into 1 5.848 * [backup-simplify]: Simplify (/ 1 1) into 1 5.848 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 5.849 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 5.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.849 * [taylor]: Taking taylor expansion of x in x 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify 1 into 1 5.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.849 * [taylor]: Taking taylor expansion of x in x 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify 1 into 1 5.849 * [backup-simplify]: Simplify (* 1 1) into 1 5.850 * [backup-simplify]: Simplify (/ 1 1) into 1 5.850 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.850 * [taylor]: Taking taylor expansion of 4.0 in x 5.850 * [backup-simplify]: Simplify 4.0 into 4.0 5.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.850 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.850 * [taylor]: Taking taylor expansion of y in x 5.850 * [backup-simplify]: Simplify y into y 5.850 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.850 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.850 * [backup-simplify]: Simplify (* 1 1) into 1 5.851 * [backup-simplify]: Simplify (+ 1 0) into 1 5.851 * [backup-simplify]: Simplify (* 1 1) into 1 5.852 * [backup-simplify]: Simplify (/ 1 1) into 1 5.852 * [taylor]: Taking taylor expansion of 1 in y 5.852 * [backup-simplify]: Simplify 1 into 1 5.852 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.854 * [backup-simplify]: Simplify (+ 0 0) into 0 5.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.856 * [taylor]: Taking taylor expansion of 0 in y 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.858 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 5.858 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 5.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.859 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 5.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 5.859 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 5.859 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.859 * [taylor]: Taking taylor expansion of 4.0 in y 5.859 * [backup-simplify]: Simplify 4.0 into 4.0 5.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.859 * [taylor]: Taking taylor expansion of y in y 5.859 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify 1 into 1 5.860 * [backup-simplify]: Simplify (* 1 1) into 1 5.860 * [backup-simplify]: Simplify (/ 1 1) into 1 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.865 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.865 * [backup-simplify]: Simplify (- 0) into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 5.865 * [backup-simplify]: Simplify (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) into (* 0.25 (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2))) 5.865 * [approximate]: Taking taylor expansion of (* 0.25 (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2))) in (x y) around 0 5.865 * [taylor]: Taking taylor expansion of (* 0.25 (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2))) in y 5.865 * [taylor]: Taking taylor expansion of 0.25 in y 5.865 * [backup-simplify]: Simplify 0.25 into 0.25 5.865 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2)) in y 5.865 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 5.865 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.865 * [taylor]: Taking taylor expansion of x in y 5.865 * [backup-simplify]: Simplify x into x 5.865 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 5.866 * [taylor]: Taking taylor expansion of 4.0 in y 5.866 * [backup-simplify]: Simplify 4.0 into 4.0 5.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.866 * [taylor]: Taking taylor expansion of y in y 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.866 * [taylor]: Taking taylor expansion of y in y 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.866 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.866 * [backup-simplify]: Simplify (* 1 1) into 1 5.866 * [backup-simplify]: Simplify (/ (pow x 2) 1) into (pow x 2) 5.866 * [taylor]: Taking taylor expansion of (* 0.25 (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2))) in x 5.866 * [taylor]: Taking taylor expansion of 0.25 in x 5.866 * [backup-simplify]: Simplify 0.25 into 0.25 5.866 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2)) in x 5.866 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 5.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.866 * [taylor]: Taking taylor expansion of x in x 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 5.866 * [taylor]: Taking taylor expansion of 4.0 in x 5.866 * [backup-simplify]: Simplify 4.0 into 4.0 5.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.866 * [taylor]: Taking taylor expansion of y in x 5.866 * [backup-simplify]: Simplify y into y 5.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.866 * [taylor]: Taking taylor expansion of y in x 5.867 * [backup-simplify]: Simplify y into y 5.867 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.867 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 5.867 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 5.867 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.867 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (pow y 2)) into 4.0 5.867 * [taylor]: Taking taylor expansion of (* 0.25 (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2))) in x 5.867 * [taylor]: Taking taylor expansion of 0.25 in x 5.867 * [backup-simplify]: Simplify 0.25 into 0.25 5.867 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2)) in x 5.867 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 5.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.867 * [taylor]: Taking taylor expansion of x in x 5.867 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify 1 into 1 5.867 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 5.867 * [taylor]: Taking taylor expansion of 4.0 in x 5.867 * [backup-simplify]: Simplify 4.0 into 4.0 5.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.867 * [taylor]: Taking taylor expansion of y in x 5.867 * [backup-simplify]: Simplify y into y 5.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.867 * [taylor]: Taking taylor expansion of y in x 5.867 * [backup-simplify]: Simplify y into y 5.867 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.867 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 5.868 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 5.868 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.868 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (pow y 2)) into 4.0 5.868 * [backup-simplify]: Simplify (* 0.25 4.0) into 1.0 5.868 * [taylor]: Taking taylor expansion of 1.0 in y 5.868 * [backup-simplify]: Simplify 1.0 into 1.0 5.868 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.868 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 5.869 * [backup-simplify]: Simplify (+ 0 0) into 0 5.869 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.869 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 4.0 (/ 0 (pow y 2))))) into 0 5.869 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 4.0)) into 0 5.869 * [taylor]: Taking taylor expansion of 0 in y 5.869 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify (* 1 1) into 1 5.870 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.871 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 5.871 * [backup-simplify]: Simplify (+ 1 0) into 1 5.871 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.871 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* 4.0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (/ 1 (pow y 2)) 5.872 * [backup-simplify]: Simplify (+ (* 0.25 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 4.0))) into (* 0.25 (/ 1 (pow y 2))) 5.872 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow y 2))) in y 5.872 * [taylor]: Taking taylor expansion of 0.25 in y 5.872 * [backup-simplify]: Simplify 0.25 into 0.25 5.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.872 * [taylor]: Taking taylor expansion of y in y 5.872 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify 1 into 1 5.872 * [backup-simplify]: Simplify (* 1 1) into 1 5.872 * [backup-simplify]: Simplify (/ 1 1) into 1 5.873 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 5.873 * [backup-simplify]: Simplify 0.25 into 0.25 5.873 * [backup-simplify]: Simplify 1.0 into 1.0 5.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.874 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.874 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.875 * [backup-simplify]: Simplify (+ 0 0) into 0 5.875 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.876 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 4.0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.876 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 4.0)))) into 0 5.876 * [taylor]: Taking taylor expansion of 0 in y 5.876 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.878 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 5.878 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.879 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.880 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.880 * [backup-simplify]: Simplify (+ 0 0) into 0 5.881 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.881 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 4.0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.882 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 4.0))))) into 0 5.882 * [taylor]: Taking taylor expansion of 0 in y 5.882 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.884 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify (+ 1.0 (* 0.25 (pow (* (/ 1 y) x) 2))) into (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) 5.884 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (* (* (/ 1 y) 4.0) (/ 1 y))) into (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 5.884 * [approximate]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (x y) around 0 5.884 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 5.885 * [taylor]: Taking taylor expansion of 0.25 in y 5.885 * [backup-simplify]: Simplify 0.25 into 0.25 5.885 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 5.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 5.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.885 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.885 * [taylor]: Taking taylor expansion of x in y 5.885 * [backup-simplify]: Simplify x into x 5.885 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.885 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.885 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.885 * [taylor]: Taking taylor expansion of 4.0 in y 5.885 * [backup-simplify]: Simplify 4.0 into 4.0 5.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.885 * [taylor]: Taking taylor expansion of y in y 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 1 into 1 5.886 * [backup-simplify]: Simplify (* 1 1) into 1 5.886 * [backup-simplify]: Simplify (/ 1 1) into 1 5.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.886 * [taylor]: Taking taylor expansion of y in y 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 5.886 * [taylor]: Taking taylor expansion of 0.25 in x 5.886 * [backup-simplify]: Simplify 0.25 into 0.25 5.886 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 5.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.886 * [taylor]: Taking taylor expansion of x in x 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.887 * [backup-simplify]: Simplify (* 1 1) into 1 5.887 * [backup-simplify]: Simplify (/ 1 1) into 1 5.887 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.887 * [taylor]: Taking taylor expansion of 4.0 in x 5.887 * [backup-simplify]: Simplify 4.0 into 4.0 5.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.887 * [taylor]: Taking taylor expansion of y in x 5.887 * [backup-simplify]: Simplify y into y 5.887 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.888 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.888 * [taylor]: Taking taylor expansion of y in x 5.888 * [backup-simplify]: Simplify y into y 5.888 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 5.888 * [taylor]: Taking taylor expansion of 0.25 in x 5.888 * [backup-simplify]: Simplify 0.25 into 0.25 5.888 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 5.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.888 * [taylor]: Taking taylor expansion of x in x 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 1 into 1 5.888 * [backup-simplify]: Simplify (* 1 1) into 1 5.889 * [backup-simplify]: Simplify (/ 1 1) into 1 5.889 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.889 * [taylor]: Taking taylor expansion of 4.0 in x 5.889 * [backup-simplify]: Simplify 4.0 into 4.0 5.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.889 * [taylor]: Taking taylor expansion of y in x 5.889 * [backup-simplify]: Simplify y into y 5.889 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.889 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.889 * [taylor]: Taking taylor expansion of y in x 5.889 * [backup-simplify]: Simplify y into y 5.890 * [backup-simplify]: Simplify (+ 1 0) into 1 5.890 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.890 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 5.890 * [backup-simplify]: Simplify (* 0.25 (pow y 2)) into (* 0.25 (pow y 2)) 5.890 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 2)) in y 5.890 * [taylor]: Taking taylor expansion of 0.25 in y 5.890 * [backup-simplify]: Simplify 0.25 into 0.25 5.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.890 * [taylor]: Taking taylor expansion of y in y 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 1 into 1 5.891 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.892 * [backup-simplify]: Simplify (+ 0 0) into 0 5.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 5.894 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (pow y 2))) into 0 5.894 * [taylor]: Taking taylor expansion of 0 in y 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.896 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 5.896 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 5.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) (pow y 2)))) into 4.0 5.898 * [backup-simplify]: Simplify (+ (* 0.25 4.0) (+ (* 0 0) (* 0 (pow y 2)))) into 1.0 5.898 * [taylor]: Taking taylor expansion of 1.0 in y 5.898 * [backup-simplify]: Simplify 1.0 into 1.0 5.899 * [backup-simplify]: Simplify 1.0 into 1.0 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify (* 1 1) into 1 5.899 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 5.899 * [backup-simplify]: Simplify 0.25 into 0.25 5.900 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.903 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 5.904 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (* 0 (pow y 2))))) into 0 5.906 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 4.0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.906 * [taylor]: Taking taylor expansion of 0 in y 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.908 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 5.908 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.913 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 5.914 * [backup-simplify]: Simplify (+ 0 0) into 0 5.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.917 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 4.0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.917 * [taylor]: Taking taylor expansion of 0 in y 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify (+ (* 0.25 (pow (* (/ 1 y) (/ 1 (/ 1 x))) 2)) 1.0) into (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) 5.918 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 5.918 * [approximate]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (x y) around 0 5.918 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 5.918 * [taylor]: Taking taylor expansion of 0.25 in y 5.918 * [backup-simplify]: Simplify 0.25 into 0.25 5.918 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 5.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 5.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.918 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.918 * [taylor]: Taking taylor expansion of x in y 5.918 * [backup-simplify]: Simplify x into x 5.918 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.918 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.918 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.918 * [taylor]: Taking taylor expansion of 4.0 in y 5.918 * [backup-simplify]: Simplify 4.0 into 4.0 5.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.918 * [taylor]: Taking taylor expansion of y in y 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify 1 into 1 5.919 * [backup-simplify]: Simplify (* 1 1) into 1 5.919 * [backup-simplify]: Simplify (/ 1 1) into 1 5.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.919 * [taylor]: Taking taylor expansion of y in y 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify 1 into 1 5.919 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 5.919 * [taylor]: Taking taylor expansion of 0.25 in x 5.919 * [backup-simplify]: Simplify 0.25 into 0.25 5.919 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 5.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.920 * [taylor]: Taking taylor expansion of x in x 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 1 into 1 5.920 * [backup-simplify]: Simplify (* 1 1) into 1 5.920 * [backup-simplify]: Simplify (/ 1 1) into 1 5.920 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.920 * [taylor]: Taking taylor expansion of 4.0 in x 5.920 * [backup-simplify]: Simplify 4.0 into 4.0 5.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.921 * [taylor]: Taking taylor expansion of y in x 5.921 * [backup-simplify]: Simplify y into y 5.921 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.921 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.921 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.921 * [taylor]: Taking taylor expansion of y in x 5.921 * [backup-simplify]: Simplify y into y 5.921 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 5.921 * [taylor]: Taking taylor expansion of 0.25 in x 5.921 * [backup-simplify]: Simplify 0.25 into 0.25 5.921 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 5.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.921 * [taylor]: Taking taylor expansion of x in x 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 1 into 1 5.921 * [backup-simplify]: Simplify (* 1 1) into 1 5.921 * [backup-simplify]: Simplify (/ 1 1) into 1 5.921 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.921 * [taylor]: Taking taylor expansion of 4.0 in x 5.921 * [backup-simplify]: Simplify 4.0 into 4.0 5.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.921 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.922 * [taylor]: Taking taylor expansion of y in x 5.922 * [backup-simplify]: Simplify y into y 5.922 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.922 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.922 * [taylor]: Taking taylor expansion of y in x 5.922 * [backup-simplify]: Simplify y into y 5.922 * [backup-simplify]: Simplify (+ 1 0) into 1 5.922 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.922 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 5.922 * [backup-simplify]: Simplify (* 0.25 (pow y 2)) into (* 0.25 (pow y 2)) 5.922 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 2)) in y 5.922 * [taylor]: Taking taylor expansion of 0.25 in y 5.922 * [backup-simplify]: Simplify 0.25 into 0.25 5.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.922 * [taylor]: Taking taylor expansion of y in y 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.922 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.923 * [backup-simplify]: Simplify (+ 0 0) into 0 5.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 5.924 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (pow y 2))) into 0 5.924 * [taylor]: Taking taylor expansion of 0 in y 5.924 * [backup-simplify]: Simplify 0 into 0 5.924 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.926 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 5.926 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 5.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) (pow y 2)))) into 4.0 5.927 * [backup-simplify]: Simplify (+ (* 0.25 4.0) (+ (* 0 0) (* 0 (pow y 2)))) into 1.0 5.927 * [taylor]: Taking taylor expansion of 1.0 in y 5.927 * [backup-simplify]: Simplify 1.0 into 1.0 5.927 * [backup-simplify]: Simplify 1.0 into 1.0 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify (* 1 1) into 1 5.928 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 5.928 * [backup-simplify]: Simplify 0.25 into 0.25 5.928 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.929 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.930 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 5.930 * [backup-simplify]: Simplify (+ 0 0) into 0 5.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (* 0 (pow y 2))))) into 0 5.931 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 4.0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.931 * [taylor]: Taking taylor expansion of 0 in y 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.932 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 5.932 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.934 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.935 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 5.936 * [backup-simplify]: Simplify (+ 0 0) into 0 5.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.942 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 4.0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.942 * [taylor]: Taking taylor expansion of 0 in y 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify (+ (* 0.25 (pow (* (/ 1 (- y)) (/ 1 (/ 1 (- x)))) 2)) 1.0) into (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) 5.943 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.943 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) into (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) 5.943 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (x y) around 0 5.943 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 5.943 * [taylor]: Taking taylor expansion of 4.0 in y 5.943 * [backup-simplify]: Simplify 4.0 into 4.0 5.943 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 5.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.943 * [taylor]: Taking taylor expansion of y in y 5.943 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 5.943 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.943 * [taylor]: Taking taylor expansion of x in y 5.943 * [backup-simplify]: Simplify x into x 5.943 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 5.943 * [taylor]: Taking taylor expansion of 4.0 in y 5.943 * [backup-simplify]: Simplify 4.0 into 4.0 5.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.943 * [taylor]: Taking taylor expansion of y in y 5.943 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [backup-simplify]: Simplify (* 1 1) into 1 5.944 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.944 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.944 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.944 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 5.944 * [taylor]: Taking taylor expansion of 4.0 in x 5.944 * [backup-simplify]: Simplify 4.0 into 4.0 5.944 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 5.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.944 * [taylor]: Taking taylor expansion of y in x 5.944 * [backup-simplify]: Simplify y into y 5.944 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 5.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.944 * [taylor]: Taking taylor expansion of x in x 5.944 * [backup-simplify]: Simplify 0 into 0 5.944 * [backup-simplify]: Simplify 1 into 1 5.944 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 5.944 * [taylor]: Taking taylor expansion of 4.0 in x 5.944 * [backup-simplify]: Simplify 4.0 into 4.0 5.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.944 * [taylor]: Taking taylor expansion of y in x 5.944 * [backup-simplify]: Simplify y into y 5.944 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.944 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.944 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 5.944 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 5.944 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 5.944 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 5.945 * [taylor]: Taking taylor expansion of 4.0 in x 5.945 * [backup-simplify]: Simplify 4.0 into 4.0 5.945 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 5.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.945 * [taylor]: Taking taylor expansion of y in x 5.945 * [backup-simplify]: Simplify y into y 5.945 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 5.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.945 * [taylor]: Taking taylor expansion of x in x 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 1 into 1 5.945 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 5.945 * [taylor]: Taking taylor expansion of 4.0 in x 5.945 * [backup-simplify]: Simplify 4.0 into 4.0 5.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.945 * [taylor]: Taking taylor expansion of y in x 5.945 * [backup-simplify]: Simplify y into y 5.945 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.945 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.945 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 5.945 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 5.945 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 5.946 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0 5.946 * [taylor]: Taking taylor expansion of 1.0 in y 5.946 * [backup-simplify]: Simplify 1.0 into 1.0 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.946 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.946 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 5.946 * [backup-simplify]: Simplify (+ 0 0) into 0 5.947 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0 5.947 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0 5.947 * [taylor]: Taking taylor expansion of 0 in y 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.948 * [backup-simplify]: Simplify (* 1 1) into 1 5.948 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.948 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 5.949 * [backup-simplify]: Simplify (+ 1 0) into 1 5.949 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 2)))) 5.950 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2)))) 5.950 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow y 2)))) in y 5.950 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow y 2))) in y 5.950 * [taylor]: Taking taylor expansion of 0.25 in y 5.950 * [backup-simplify]: Simplify 0.25 into 0.25 5.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.950 * [taylor]: Taking taylor expansion of y in y 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [backup-simplify]: Simplify (* 1 1) into 1 5.950 * [backup-simplify]: Simplify (/ 1 1) into 1 5.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.955 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.955 * [backup-simplify]: Simplify (- 0) into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 5.956 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (x y) around 0 5.956 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 5.956 * [taylor]: Taking taylor expansion of 4.0 in y 5.956 * [backup-simplify]: Simplify 4.0 into 4.0 5.956 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 5.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 5.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.956 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.956 * [taylor]: Taking taylor expansion of x in y 5.956 * [backup-simplify]: Simplify x into x 5.956 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.956 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.956 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.956 * [taylor]: Taking taylor expansion of 4.0 in y 5.956 * [backup-simplify]: Simplify 4.0 into 4.0 5.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.956 * [taylor]: Taking taylor expansion of y in y 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 1 into 1 5.956 * [backup-simplify]: Simplify (* 1 1) into 1 5.957 * [backup-simplify]: Simplify (/ 1 1) into 1 5.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.957 * [taylor]: Taking taylor expansion of y in y 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify 1 into 1 5.957 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.957 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 5.958 * [backup-simplify]: Simplify (* 1 1) into 1 5.958 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.958 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 5.958 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 5.958 * [taylor]: Taking taylor expansion of 4.0 in x 5.958 * [backup-simplify]: Simplify 4.0 into 4.0 5.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 5.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.958 * [taylor]: Taking taylor expansion of x in x 5.958 * [backup-simplify]: Simplify 0 into 0 5.958 * [backup-simplify]: Simplify 1 into 1 5.958 * [backup-simplify]: Simplify (* 1 1) into 1 5.959 * [backup-simplify]: Simplify (/ 1 1) into 1 5.959 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.959 * [taylor]: Taking taylor expansion of 4.0 in x 5.959 * [backup-simplify]: Simplify 4.0 into 4.0 5.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.959 * [taylor]: Taking taylor expansion of y in x 5.959 * [backup-simplify]: Simplify y into y 5.959 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.959 * [taylor]: Taking taylor expansion of y in x 5.959 * [backup-simplify]: Simplify y into y 5.959 * [backup-simplify]: Simplify (+ 1 0) into 1 5.959 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.960 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 5.960 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 5.960 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 5.960 * [taylor]: Taking taylor expansion of 4.0 in x 5.960 * [backup-simplify]: Simplify 4.0 into 4.0 5.960 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 5.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.960 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.960 * [taylor]: Taking taylor expansion of x in x 5.960 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify 1 into 1 5.960 * [backup-simplify]: Simplify (* 1 1) into 1 5.960 * [backup-simplify]: Simplify (/ 1 1) into 1 5.960 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.960 * [taylor]: Taking taylor expansion of 4.0 in x 5.960 * [backup-simplify]: Simplify 4.0 into 4.0 5.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.961 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.961 * [taylor]: Taking taylor expansion of y in x 5.961 * [backup-simplify]: Simplify y into y 5.961 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.961 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.961 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.961 * [taylor]: Taking taylor expansion of y in x 5.961 * [backup-simplify]: Simplify y into y 5.961 * [backup-simplify]: Simplify (+ 1 0) into 1 5.961 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.961 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 5.961 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 5.961 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 5.961 * [taylor]: Taking taylor expansion of 4.0 in y 5.961 * [backup-simplify]: Simplify 4.0 into 4.0 5.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.961 * [taylor]: Taking taylor expansion of y in y 5.961 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify 1 into 1 5.962 * [backup-simplify]: Simplify (* 1 1) into 1 5.962 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 5.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 5.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.964 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.966 * [backup-simplify]: Simplify (+ 0 0) into 0 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 5.967 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 4.0 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.967 * [taylor]: Taking taylor expansion of 0 in y 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.972 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 5.972 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) (pow y 2)))) into 4.0 5.974 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 4.0 (pow y 2)) (/ 4.0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (* 16.0 (/ 1 (pow y 4)))) 5.974 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow y 4)))) in y 5.974 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow y 4))) in y 5.974 * [taylor]: Taking taylor expansion of 16.0 in y 5.974 * [backup-simplify]: Simplify 16.0 into 16.0 5.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 5.974 * [taylor]: Taking taylor expansion of (pow y 4) in y 5.974 * [taylor]: Taking taylor expansion of y in y 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify 1 into 1 5.975 * [backup-simplify]: Simplify (* 1 1) into 1 5.975 * [backup-simplify]: Simplify (* 1 1) into 1 5.976 * [backup-simplify]: Simplify (/ 1 1) into 1 5.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.989 * [backup-simplify]: Simplify (- 0) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 5.993 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (x y) around 0 5.993 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 5.993 * [taylor]: Taking taylor expansion of 4.0 in y 5.993 * [backup-simplify]: Simplify 4.0 into 4.0 5.993 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 5.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 5.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.993 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.993 * [taylor]: Taking taylor expansion of x in y 5.993 * [backup-simplify]: Simplify x into x 5.993 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.993 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.993 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.993 * [taylor]: Taking taylor expansion of 4.0 in y 5.993 * [backup-simplify]: Simplify 4.0 into 4.0 5.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.994 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.994 * [taylor]: Taking taylor expansion of y in y 5.994 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify 1 into 1 5.994 * [backup-simplify]: Simplify (* 1 1) into 1 5.995 * [backup-simplify]: Simplify (/ 1 1) into 1 5.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.995 * [taylor]: Taking taylor expansion of y in y 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify 1 into 1 5.995 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.996 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 5.996 * [backup-simplify]: Simplify (* 1 1) into 1 5.997 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.997 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 5.997 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 5.997 * [taylor]: Taking taylor expansion of 4.0 in x 5.997 * [backup-simplify]: Simplify 4.0 into 4.0 5.997 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 5.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 5.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.997 * [taylor]: Taking taylor expansion of x in x 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.998 * [backup-simplify]: Simplify (* 1 1) into 1 5.998 * [backup-simplify]: Simplify (/ 1 1) into 1 5.998 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.998 * [taylor]: Taking taylor expansion of 4.0 in x 5.998 * [backup-simplify]: Simplify 4.0 into 4.0 5.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.998 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.998 * [taylor]: Taking taylor expansion of y in x 5.998 * [backup-simplify]: Simplify y into y 5.999 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.999 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.999 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.999 * [taylor]: Taking taylor expansion of y in x 5.999 * [backup-simplify]: Simplify y into y 5.999 * [backup-simplify]: Simplify (+ 1 0) into 1 5.999 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.000 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 6.000 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 6.000 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 6.000 * [taylor]: Taking taylor expansion of 4.0 in x 6.000 * [backup-simplify]: Simplify 4.0 into 4.0 6.000 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 6.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.000 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.000 * [taylor]: Taking taylor expansion of x in x 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [backup-simplify]: Simplify (* 1 1) into 1 6.001 * [backup-simplify]: Simplify (/ 1 1) into 1 6.001 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.001 * [taylor]: Taking taylor expansion of 4.0 in x 6.001 * [backup-simplify]: Simplify 4.0 into 4.0 6.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.001 * [taylor]: Taking taylor expansion of y in x 6.001 * [backup-simplify]: Simplify y into y 6.001 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.001 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.001 * [taylor]: Taking taylor expansion of y in x 6.001 * [backup-simplify]: Simplify y into y 6.002 * [backup-simplify]: Simplify (+ 1 0) into 1 6.002 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.002 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 6.002 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 6.002 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 6.002 * [taylor]: Taking taylor expansion of 4.0 in y 6.002 * [backup-simplify]: Simplify 4.0 into 4.0 6.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.002 * [taylor]: Taking taylor expansion of y in y 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 1 into 1 6.003 * [backup-simplify]: Simplify (* 1 1) into 1 6.003 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 6.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 6.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.009 * [backup-simplify]: Simplify (+ 0 0) into 0 6.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 6.010 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 4.0 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.010 * [taylor]: Taking taylor expansion of 0 in y 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.015 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.015 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 6.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) (pow y 2)))) into 4.0 6.017 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 4.0 (pow y 2)) (/ 4.0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (* 16.0 (/ 1 (pow y 4)))) 6.017 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow y 4)))) in y 6.017 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow y 4))) in y 6.017 * [taylor]: Taking taylor expansion of 16.0 in y 6.017 * [backup-simplify]: Simplify 16.0 into 16.0 6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.017 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.017 * [taylor]: Taking taylor expansion of y in y 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify 1 into 1 6.017 * [backup-simplify]: Simplify (* 1 1) into 1 6.018 * [backup-simplify]: Simplify (* 1 1) into 1 6.018 * [backup-simplify]: Simplify (/ 1 1) into 1 6.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.030 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.030 * [backup-simplify]: Simplify (- 0) into 0 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.034 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) into (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) 6.034 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in (x y) around 0 6.034 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in y 6.034 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 6.034 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.034 * [taylor]: Taking taylor expansion of x in y 6.034 * [backup-simplify]: Simplify x into x 6.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 6.034 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.034 * [taylor]: Taking taylor expansion of x in y 6.034 * [backup-simplify]: Simplify x into x 6.034 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 6.034 * [taylor]: Taking taylor expansion of 4.0 in y 6.034 * [backup-simplify]: Simplify 4.0 into 4.0 6.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.034 * [taylor]: Taking taylor expansion of y in y 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.034 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.035 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.035 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.035 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 6.035 * [taylor]: Taking taylor expansion of 4.0 in y 6.035 * [backup-simplify]: Simplify 4.0 into 4.0 6.035 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 6.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.035 * [taylor]: Taking taylor expansion of y in y 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 1 into 1 6.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 6.035 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.035 * [taylor]: Taking taylor expansion of x in y 6.035 * [backup-simplify]: Simplify x into x 6.035 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 6.035 * [taylor]: Taking taylor expansion of 4.0 in y 6.035 * [backup-simplify]: Simplify 4.0 into 4.0 6.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.035 * [taylor]: Taking taylor expansion of y in y 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 1 into 1 6.036 * [backup-simplify]: Simplify (* 1 1) into 1 6.036 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.036 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.036 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.036 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 6.036 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 6.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.036 * [taylor]: Taking taylor expansion of x in x 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 6.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.037 * [taylor]: Taking taylor expansion of x in x 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.037 * [taylor]: Taking taylor expansion of 4.0 in x 6.037 * [backup-simplify]: Simplify 4.0 into 4.0 6.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.037 * [taylor]: Taking taylor expansion of y in x 6.037 * [backup-simplify]: Simplify y into y 6.037 * [backup-simplify]: Simplify (* 1 1) into 1 6.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.037 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.038 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 6.038 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 6.038 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 6.038 * [taylor]: Taking taylor expansion of 4.0 in x 6.038 * [backup-simplify]: Simplify 4.0 into 4.0 6.038 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 6.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.038 * [taylor]: Taking taylor expansion of y in x 6.038 * [backup-simplify]: Simplify y into y 6.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 6.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.038 * [taylor]: Taking taylor expansion of x in x 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.038 * [taylor]: Taking taylor expansion of 4.0 in x 6.038 * [backup-simplify]: Simplify 4.0 into 4.0 6.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.038 * [taylor]: Taking taylor expansion of y in x 6.038 * [backup-simplify]: Simplify y into y 6.038 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.038 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.039 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.039 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 6.039 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 6.039 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 6.039 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 6.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.039 * [taylor]: Taking taylor expansion of x in x 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 6.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.039 * [taylor]: Taking taylor expansion of x in x 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.039 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.039 * [taylor]: Taking taylor expansion of 4.0 in x 6.039 * [backup-simplify]: Simplify 4.0 into 4.0 6.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.040 * [taylor]: Taking taylor expansion of y in x 6.040 * [backup-simplify]: Simplify y into y 6.040 * [backup-simplify]: Simplify (* 1 1) into 1 6.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.040 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.040 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 6.041 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 6.041 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 6.041 * [taylor]: Taking taylor expansion of 4.0 in x 6.041 * [backup-simplify]: Simplify 4.0 into 4.0 6.041 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 6.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.041 * [taylor]: Taking taylor expansion of y in x 6.041 * [backup-simplify]: Simplify y into y 6.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 6.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.041 * [taylor]: Taking taylor expansion of x in x 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 1 into 1 6.041 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.041 * [taylor]: Taking taylor expansion of 4.0 in x 6.041 * [backup-simplify]: Simplify 4.0 into 4.0 6.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.041 * [taylor]: Taking taylor expansion of y in x 6.041 * [backup-simplify]: Simplify y into y 6.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.041 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.042 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 6.042 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 6.042 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0 6.043 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.044 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.044 * [taylor]: Taking taylor expansion of (- 1.0) in y 6.044 * [taylor]: Taking taylor expansion of 1.0 in y 6.044 * [backup-simplify]: Simplify 1.0 into 1.0 6.044 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.044 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.045 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 6.046 * [backup-simplify]: Simplify (+ 0 0) into 0 6.046 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0 6.047 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0 6.047 * [backup-simplify]: Simplify (- 0) into 0 6.048 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [taylor]: Taking taylor expansion of 0 in y 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify (- 0) into 0 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.049 * [backup-simplify]: Simplify (* 1 1) into 1 6.049 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.050 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.051 * [backup-simplify]: Simplify (+ 1 0) into 1 6.051 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 2)))) 6.052 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2)))) 6.052 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow y 2))))) into (* 0.25 (/ 1 (pow y 2))) 6.053 * [backup-simplify]: Simplify (+ (/ 0.25 (pow y 2)) (* 0.25 (/ 1 (pow y 2)))) into (* 0.5 (/ 1 (pow y 2))) 6.053 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 6.053 * [taylor]: Taking taylor expansion of 0.5 in y 6.053 * [backup-simplify]: Simplify 0.5 into 0.5 6.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.053 * [taylor]: Taking taylor expansion of y in y 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 1 into 1 6.053 * [backup-simplify]: Simplify (* 1 1) into 1 6.054 * [backup-simplify]: Simplify (/ 1 1) into 1 6.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (- 0) into 0 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.060 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.061 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 6.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.063 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.064 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.065 * [backup-simplify]: Simplify (+ 0 0) into 0 6.065 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (- (* 0.0625 (/ 1 (pow y 2)))) (/ 0 (* 4.0 (pow y 2)))))) into 0 6.067 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25)))) into 0 6.067 * [backup-simplify]: Simplify (- 0) into 0 6.067 * [backup-simplify]: Simplify (+ 0 0) into 0 6.067 * [taylor]: Taking taylor expansion of 0 in y 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.069 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (* (* (/ 1 y) 4.0) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) 6.069 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 6.069 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 6.069 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 6.069 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 6.069 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.069 * [taylor]: Taking taylor expansion of x in y 6.069 * [backup-simplify]: Simplify x into x 6.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.069 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.069 * [taylor]: Taking taylor expansion of x in y 6.069 * [backup-simplify]: Simplify x into x 6.069 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.069 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.069 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.070 * [taylor]: Taking taylor expansion of 4.0 in y 6.070 * [backup-simplify]: Simplify 4.0 into 4.0 6.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.070 * [taylor]: Taking taylor expansion of y in y 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify 1 into 1 6.070 * [backup-simplify]: Simplify (* 1 1) into 1 6.071 * [backup-simplify]: Simplify (/ 1 1) into 1 6.071 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.071 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.071 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 6.072 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 6.072 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 6.072 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 6.072 * [taylor]: Taking taylor expansion of 4.0 in y 6.072 * [backup-simplify]: Simplify 4.0 into 4.0 6.072 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 6.072 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 6.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.072 * [taylor]: Taking taylor expansion of x in y 6.072 * [backup-simplify]: Simplify x into x 6.072 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.072 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.072 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.072 * [taylor]: Taking taylor expansion of 4.0 in y 6.072 * [backup-simplify]: Simplify 4.0 into 4.0 6.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.072 * [taylor]: Taking taylor expansion of y in y 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 1 into 1 6.073 * [backup-simplify]: Simplify (* 1 1) into 1 6.073 * [backup-simplify]: Simplify (/ 1 1) into 1 6.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.073 * [taylor]: Taking taylor expansion of y in y 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 1 into 1 6.073 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.074 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 6.074 * [backup-simplify]: Simplify (* 1 1) into 1 6.074 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.074 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 6.074 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 6.074 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 6.074 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.074 * [taylor]: Taking taylor expansion of x in x 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.075 * [taylor]: Taking taylor expansion of x in x 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (* 1 1) into 1 6.075 * [backup-simplify]: Simplify (/ 1 1) into 1 6.075 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.075 * [taylor]: Taking taylor expansion of 4.0 in x 6.075 * [backup-simplify]: Simplify 4.0 into 4.0 6.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.075 * [taylor]: Taking taylor expansion of y in x 6.075 * [backup-simplify]: Simplify y into y 6.075 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.076 * [backup-simplify]: Simplify (* 1 1) into 1 6.076 * [backup-simplify]: Simplify (+ 1 0) into 1 6.076 * [backup-simplify]: Simplify (* 1 1) into 1 6.076 * [backup-simplify]: Simplify (/ 1 1) into 1 6.077 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 6.077 * [taylor]: Taking taylor expansion of 4.0 in x 6.077 * [backup-simplify]: Simplify 4.0 into 4.0 6.077 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 6.077 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 6.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.077 * [taylor]: Taking taylor expansion of x in x 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.077 * [backup-simplify]: Simplify (/ 1 1) into 1 6.077 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.077 * [taylor]: Taking taylor expansion of 4.0 in x 6.077 * [backup-simplify]: Simplify 4.0 into 4.0 6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.077 * [taylor]: Taking taylor expansion of y in x 6.077 * [backup-simplify]: Simplify y into y 6.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.078 * [taylor]: Taking taylor expansion of y in x 6.078 * [backup-simplify]: Simplify y into y 6.078 * [backup-simplify]: Simplify (+ 1 0) into 1 6.078 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.078 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 6.078 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.078 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 6.078 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 6.078 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.078 * [taylor]: Taking taylor expansion of x in x 6.078 * [backup-simplify]: Simplify 0 into 0 6.078 * [backup-simplify]: Simplify 1 into 1 6.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.078 * [taylor]: Taking taylor expansion of x in x 6.078 * [backup-simplify]: Simplify 0 into 0 6.078 * [backup-simplify]: Simplify 1 into 1 6.079 * [backup-simplify]: Simplify (* 1 1) into 1 6.079 * [backup-simplify]: Simplify (/ 1 1) into 1 6.079 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.079 * [taylor]: Taking taylor expansion of 4.0 in x 6.079 * [backup-simplify]: Simplify 4.0 into 4.0 6.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.079 * [taylor]: Taking taylor expansion of y in x 6.079 * [backup-simplify]: Simplify y into y 6.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.084 * [backup-simplify]: Simplify (* 1 1) into 1 6.085 * [backup-simplify]: Simplify (+ 1 0) into 1 6.085 * [backup-simplify]: Simplify (* 1 1) into 1 6.085 * [backup-simplify]: Simplify (/ 1 1) into 1 6.085 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 6.085 * [taylor]: Taking taylor expansion of 4.0 in x 6.085 * [backup-simplify]: Simplify 4.0 into 4.0 6.085 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 6.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.085 * [taylor]: Taking taylor expansion of x in x 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.086 * [backup-simplify]: Simplify (* 1 1) into 1 6.086 * [backup-simplify]: Simplify (/ 1 1) into 1 6.086 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.086 * [taylor]: Taking taylor expansion of 4.0 in x 6.086 * [backup-simplify]: Simplify 4.0 into 4.0 6.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.086 * [taylor]: Taking taylor expansion of y in x 6.086 * [backup-simplify]: Simplify y into y 6.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.086 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.086 * [taylor]: Taking taylor expansion of y in x 6.086 * [backup-simplify]: Simplify y into y 6.087 * [backup-simplify]: Simplify (+ 1 0) into 1 6.087 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.087 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 6.087 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.087 * [backup-simplify]: Simplify (+ 1 0) into 1 6.087 * [taylor]: Taking taylor expansion of 1 in y 6.087 * [backup-simplify]: Simplify 1 into 1 6.087 * [backup-simplify]: Simplify 1 into 1 6.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.088 * [backup-simplify]: Simplify (+ 0 0) into 0 6.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (+ 0 0) into 0 6.090 * [taylor]: Taking taylor expansion of 0 in y 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.091 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 6.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.092 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 6.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.093 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.093 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.093 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 6.093 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 6.093 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 6.093 * [taylor]: Taking taylor expansion of 8.0 in y 6.093 * [backup-simplify]: Simplify 8.0 into 8.0 6.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.094 * [taylor]: Taking taylor expansion of y in y 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.094 * [backup-simplify]: Simplify (* 1 1) into 1 6.094 * [backup-simplify]: Simplify (/ 1 1) into 1 6.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.098 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 6.099 * [backup-simplify]: Simplify (- 0) into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.101 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.102 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.102 * [backup-simplify]: Simplify (+ 0 0) into 0 6.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify (+ 0 0) into 0 6.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 6.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.110 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.111 * [backup-simplify]: Simplify (- 0) into 0 6.111 * [backup-simplify]: Simplify (+ 0 0) into 0 6.111 * [taylor]: Taking taylor expansion of 0 in y 6.111 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify 1 into 1 6.112 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) 6.112 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 6.112 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 6.112 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 6.112 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 6.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.112 * [taylor]: Taking taylor expansion of x in y 6.112 * [backup-simplify]: Simplify x into x 6.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.113 * [taylor]: Taking taylor expansion of x in y 6.113 * [backup-simplify]: Simplify x into x 6.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.113 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.113 * [taylor]: Taking taylor expansion of 4.0 in y 6.113 * [backup-simplify]: Simplify 4.0 into 4.0 6.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.113 * [taylor]: Taking taylor expansion of y in y 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (* 1 1) into 1 6.114 * [backup-simplify]: Simplify (/ 1 1) into 1 6.114 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.114 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.115 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 6.115 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 6.115 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 6.115 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 6.115 * [taylor]: Taking taylor expansion of 4.0 in y 6.115 * [backup-simplify]: Simplify 4.0 into 4.0 6.115 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 6.115 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 6.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.115 * [taylor]: Taking taylor expansion of x in y 6.115 * [backup-simplify]: Simplify x into x 6.115 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.116 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.116 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.116 * [taylor]: Taking taylor expansion of 4.0 in y 6.116 * [backup-simplify]: Simplify 4.0 into 4.0 6.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.116 * [taylor]: Taking taylor expansion of y in y 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [backup-simplify]: Simplify (* 1 1) into 1 6.117 * [backup-simplify]: Simplify (/ 1 1) into 1 6.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.117 * [taylor]: Taking taylor expansion of y in y 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.118 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 6.118 * [backup-simplify]: Simplify (* 1 1) into 1 6.118 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.119 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 6.119 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 6.119 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 6.119 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.119 * [taylor]: Taking taylor expansion of x in x 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.119 * [taylor]: Taking taylor expansion of x in x 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [backup-simplify]: Simplify (* 1 1) into 1 6.120 * [backup-simplify]: Simplify (/ 1 1) into 1 6.120 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.120 * [taylor]: Taking taylor expansion of 4.0 in x 6.120 * [backup-simplify]: Simplify 4.0 into 4.0 6.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.120 * [taylor]: Taking taylor expansion of y in x 6.120 * [backup-simplify]: Simplify y into y 6.120 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.120 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.121 * [backup-simplify]: Simplify (* 1 1) into 1 6.121 * [backup-simplify]: Simplify (+ 1 0) into 1 6.121 * [backup-simplify]: Simplify (* 1 1) into 1 6.121 * [backup-simplify]: Simplify (/ 1 1) into 1 6.121 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 6.121 * [taylor]: Taking taylor expansion of 4.0 in x 6.121 * [backup-simplify]: Simplify 4.0 into 4.0 6.121 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 6.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 6.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.121 * [taylor]: Taking taylor expansion of x in x 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.122 * [backup-simplify]: Simplify (* 1 1) into 1 6.122 * [backup-simplify]: Simplify (/ 1 1) into 1 6.122 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.122 * [taylor]: Taking taylor expansion of 4.0 in x 6.122 * [backup-simplify]: Simplify 4.0 into 4.0 6.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.122 * [taylor]: Taking taylor expansion of y in x 6.122 * [backup-simplify]: Simplify y into y 6.122 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.122 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.122 * [taylor]: Taking taylor expansion of y in x 6.122 * [backup-simplify]: Simplify y into y 6.123 * [backup-simplify]: Simplify (+ 1 0) into 1 6.123 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.123 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 6.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.123 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 6.123 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 6.123 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.123 * [taylor]: Taking taylor expansion of x in x 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.123 * [taylor]: Taking taylor expansion of x in x 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [backup-simplify]: Simplify (* 1 1) into 1 6.123 * [backup-simplify]: Simplify (/ 1 1) into 1 6.123 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.123 * [taylor]: Taking taylor expansion of 4.0 in x 6.124 * [backup-simplify]: Simplify 4.0 into 4.0 6.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.124 * [taylor]: Taking taylor expansion of y in x 6.124 * [backup-simplify]: Simplify y into y 6.124 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.124 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.124 * [backup-simplify]: Simplify (* 1 1) into 1 6.124 * [backup-simplify]: Simplify (+ 1 0) into 1 6.124 * [backup-simplify]: Simplify (* 1 1) into 1 6.125 * [backup-simplify]: Simplify (/ 1 1) into 1 6.125 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 6.125 * [taylor]: Taking taylor expansion of 4.0 in x 6.125 * [backup-simplify]: Simplify 4.0 into 4.0 6.125 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 6.125 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 6.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.125 * [taylor]: Taking taylor expansion of x in x 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 1 into 1 6.125 * [backup-simplify]: Simplify (* 1 1) into 1 6.125 * [backup-simplify]: Simplify (/ 1 1) into 1 6.125 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.125 * [taylor]: Taking taylor expansion of 4.0 in x 6.125 * [backup-simplify]: Simplify 4.0 into 4.0 6.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.125 * [taylor]: Taking taylor expansion of y in x 6.125 * [backup-simplify]: Simplify y into y 6.125 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.126 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.126 * [taylor]: Taking taylor expansion of y in x 6.126 * [backup-simplify]: Simplify y into y 6.126 * [backup-simplify]: Simplify (+ 1 0) into 1 6.126 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.126 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 6.126 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.126 * [backup-simplify]: Simplify (+ 1 0) into 1 6.126 * [taylor]: Taking taylor expansion of 1 in y 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify 1 into 1 6.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.128 * [backup-simplify]: Simplify (+ 0 0) into 0 6.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (+ 0 0) into 0 6.129 * [taylor]: Taking taylor expansion of 0 in y 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.130 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.131 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 6.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.132 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 6.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.132 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.132 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.133 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 6.133 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 6.133 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 6.133 * [taylor]: Taking taylor expansion of 8.0 in y 6.133 * [backup-simplify]: Simplify 8.0 into 8.0 6.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.133 * [taylor]: Taking taylor expansion of y in y 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify 1 into 1 6.133 * [backup-simplify]: Simplify (* 1 1) into 1 6.133 * [backup-simplify]: Simplify (/ 1 1) into 1 6.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.135 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 6.136 * [backup-simplify]: Simplify (- 0) into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.137 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.137 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.138 * [backup-simplify]: Simplify (+ 0 0) into 0 6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.140 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 6.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.142 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.142 * [backup-simplify]: Simplify (- 0) into 0 6.142 * [backup-simplify]: Simplify (+ 0 0) into 0 6.142 * [taylor]: Taking taylor expansion of 0 in y 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 1 into 1 6.142 * * * [progress]: simplifying candidates 6.145 * [simplify]: Simplifying: (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x 1) (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) 1) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (- (log (+ (* x x) (* (* y 4.0) y))) (+ (+ (log y) (log 4.0)) (log y))) (- (log (+ (* x x) (* (* y 4.0) y))) (+ (log (* y 4.0)) (log y))) (- (log (+ (* x x) (* (* y 4.0) y))) (log (* (* y 4.0) y))) (log (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (exp (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y))) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y))) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* y 4.0) y))) (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (* (* (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (- (* (* y 4.0) y)) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (* y 4.0)) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) y) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* y 4.0)) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) y) (/ 1 (* y 4.0)) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ 1 (* (* y 4.0) y)) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* y 4.0)) (/ (* (* y 4.0) y) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (* (* (* y 4.0) y) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (* (* y 4.0) y) (- (* x x) (* (* y 4.0) y))) (- 1) (- (- (log (+ (* x x) (* (* y 4.0) y))) (+ (+ (log y) (log 4.0)) (log y)))) (- (- (log (+ (* x x) (* (* y 4.0) y))) (+ (log (* y 4.0)) (log y)))) (- (- (log (+ (* x x) (* (* y 4.0) y))) (log (* (* y 4.0) y)))) (- (log (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (- 0 (- (log (+ (* x x) (* (* y 4.0) y))) (+ (+ (log y) (log 4.0)) (log y)))) (- 0 (- (log (+ (* x x) (* (* y 4.0) y))) (+ (log (* y 4.0)) (log y)))) (- 0 (- (log (+ (* x x) (* (* y 4.0) y))) (log (* (* y 4.0) y)))) (- 0 (log (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (- (log 1) (- (log (+ (* x x) (* (* y 4.0) y))) (+ (+ (log y) (log 4.0)) (log y)))) (- (log 1) (- (log (+ (* x x) (* (* y 4.0) y))) (+ (log (* y 4.0)) (log y)))) (- (log 1) (- (log (+ (* x x) (* (* y 4.0) y))) (log (* (* y 4.0) y)))) (- (log 1) (log (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (log (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (exp (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y)))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* y 4.0) y)))) (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (* (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) 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y 4.0) y)) (* (* y 4.0) y))) (/ (sqrt 1) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt 1) (/ 1 (* (* y 4.0) y))) (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (/ 1 (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (/ 1 (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (* y 4.0))) (/ 1 (/ (cbrt (+ (* x x) (* (* y 4.0) y))) y)) (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* y 4.0))) (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) y)) (/ 1 (/ 1 (* y 4.0))) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) y)) (/ 1 1) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ 1 (/ 1 (* (* y 4.0) y))) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (/ (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) 1) (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 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(/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt 1) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt 1) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt 1) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (- (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) 0 0 0 (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) 0 0 0 (- 1.0) 1 1 6.149 * * [simplify]: Extracting # 0 : cost 0 6.149 * * [simplify]: Extracting # 1 : cost 0 6.150 * * [simplify]: Extracting # 2 : cost 0 6.150 * * [simplify]: Extracting # 3 : cost 0 6.150 * * [simplify]: Extracting # 4 : cost 0 6.150 * * [simplify]: Extracting # 5 : cost 0 6.151 * * [simplify]: Extracting # 6 : cost 0 6.151 * * [simplify]: Extracting # 7 : cost 0 6.151 * * [simplify]: iteration 0 : 220 enodes (cost 3773 ) 6.277 * * [simplify]: Extracting # 0 : cost 0 6.278 * * [simplify]: Extracting # 1 : cost 0 6.279 * * [simplify]: Extracting # 2 : cost 0 6.280 * * [simplify]: Extracting # 3 : cost 0 6.281 * * [simplify]: Extracting # 4 : cost 0 6.283 * * [simplify]: iteration 1 : 557 enodes (cost 3491 ) 6.632 * * [simplify]: Extracting # 0 : cost 0 6.635 * * [simplify]: Extracting # 1 : cost 0 6.637 * * [simplify]: Extracting # 2 : cost 0 6.639 * * [simplify]: Extracting # 3 : cost 0 6.641 * * [simplify]: Extracting # 4 : cost 0 6.643 * * [simplify]: iteration 2 : 1964 enodes (cost 3046 ) 7.468 * * [simplify]: Extracting # 0 : cost 0 7.482 * * [simplify]: Extracting # 1 : cost 0 7.488 * * [simplify]: Extracting # 2 : cost 0 7.494 * * [simplify]: Extracting # 3 : cost 0 7.501 * * [simplify]: iteration done: 5001 enodes (cost 3046 ) 7.503 * [simplify]: Simplified to: (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 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x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ (* 4.0 y) (/ (+ (* x x) (* (* y 4.0) y)) y)) (* (/ x (+ (* x x) (* (* y 4.0) y))) x)) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* 4.0 y) (/ (+ (* x x) (* (* y 4.0) y)) y)))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* 4.0 y) (/ (+ (* x x) (* (* y 4.0) y)) y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* 4.0 y) (/ (+ (* x x) (* (* y 4.0) y)) y)))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* 4.0 y) (/ (+ (* x x) (* (* y 4.0) y)) y)))) (+ (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (+ (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))))) (- (* (/ x (+ (* x x) (* (* y 4.0) y))) x) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (/ x (+ (* x x) (* (* y 4.0) y))) x) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (/ (* 4.0 y) (/ (+ (* x x) (* (* y 4.0) y)) y))) 0 0 0 (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) 0 0 0 (- 1.0) 1 1 7.505 * * * [progress]: adding candidates to table 7.893 * * [progress]: iteration 4 / 4 7.893 * * * [progress]: picking best candidate 7.905 * * * * [pick]: Picked # 7.906 * * * [progress]: localizing error 7.930 * * * [progress]: generating rewritten candidates 7.930 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 7.969 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 8.039 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.100 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 8.151 * * * [progress]: generating series expansions 8.151 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 8.151 * [backup-simplify]: Simplify (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) into (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow x 2)) 8.151 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow x 2)) in (x y) around 0 8.151 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow x 2)) in y 8.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 8.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.151 * [taylor]: Taking taylor expansion of x in y 8.151 * [backup-simplify]: Simplify x into x 8.151 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.151 * [taylor]: Taking taylor expansion of 4.0 in y 8.151 * [backup-simplify]: Simplify 4.0 into 4.0 8.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.151 * [taylor]: Taking taylor expansion of y in y 8.151 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify 1 into 1 8.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.151 * [taylor]: Taking taylor expansion of x in y 8.151 * [backup-simplify]: Simplify x into x 8.151 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.152 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.152 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.152 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 8.152 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow x 2)) in x 8.152 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.152 * [taylor]: Taking taylor expansion of x in x 8.152 * [backup-simplify]: Simplify 0 into 0 8.152 * [backup-simplify]: Simplify 1 into 1 8.152 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.152 * [taylor]: Taking taylor expansion of 4.0 in x 8.152 * [backup-simplify]: Simplify 4.0 into 4.0 8.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.152 * [taylor]: Taking taylor expansion of y in x 8.152 * [backup-simplify]: Simplify y into y 8.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.152 * [taylor]: Taking taylor expansion of x in x 8.152 * [backup-simplify]: Simplify 0 into 0 8.152 * [backup-simplify]: Simplify 1 into 1 8.152 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.152 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.152 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.153 * [backup-simplify]: Simplify (* 1 1) into 1 8.153 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) 1) into (* 4.0 (pow y 2)) 8.153 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow x 2)) in x 8.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.153 * [taylor]: Taking taylor expansion of x in x 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 1 into 1 8.153 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.153 * [taylor]: Taking taylor expansion of 4.0 in x 8.153 * [backup-simplify]: Simplify 4.0 into 4.0 8.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.153 * [taylor]: Taking taylor expansion of y in x 8.153 * [backup-simplify]: Simplify y into y 8.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.153 * [taylor]: Taking taylor expansion of x in x 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 1 into 1 8.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.153 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.154 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.154 * [backup-simplify]: Simplify (* 1 1) into 1 8.154 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) 1) into (* 4.0 (pow y 2)) 8.154 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.154 * [taylor]: Taking taylor expansion of 4.0 in y 8.154 * [backup-simplify]: Simplify 4.0 into 4.0 8.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.154 * [taylor]: Taking taylor expansion of y in y 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.154 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.155 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.155 * [backup-simplify]: Simplify (+ 0 0) into 0 8.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 4.0 (pow y 2)) (/ 0 1)))) into 0 8.156 * [taylor]: Taking taylor expansion of 0 in y 8.156 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify (* 1 1) into 1 8.157 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.158 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.158 * [backup-simplify]: Simplify (+ 1 0) into 1 8.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.160 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* (* 4.0 (pow y 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 1 8.160 * [taylor]: Taking taylor expansion of 1 in y 8.160 * [backup-simplify]: Simplify 1 into 1 8.160 * [backup-simplify]: Simplify 1 into 1 8.160 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify (* 1 1) into 1 8.161 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.161 * [backup-simplify]: Simplify 4.0 into 4.0 8.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.162 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.164 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.164 * [backup-simplify]: Simplify (+ 0 0) into 0 8.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 4.0 (pow y 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.167 * [taylor]: Taking taylor expansion of 0 in y 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.169 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.171 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.173 * [backup-simplify]: Simplify (+ 0 0) into 0 8.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 4.0 (pow y 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.177 * [taylor]: Taking taylor expansion of 0 in y 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y (/ 1 x)) 2)) 1) into (+ 1 (* 4.0 (/ (pow y 2) (pow x 2)))) 8.178 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 8.178 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 8.178 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 8.178 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.178 * [taylor]: Taking taylor expansion of x in y 8.179 * [backup-simplify]: Simplify x into x 8.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.179 * [taylor]: Taking taylor expansion of x in y 8.179 * [backup-simplify]: Simplify x into x 8.179 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.179 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.179 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.179 * [taylor]: Taking taylor expansion of 4.0 in y 8.179 * [backup-simplify]: Simplify 4.0 into 4.0 8.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.179 * [taylor]: Taking taylor expansion of y in y 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (* 1 1) into 1 8.180 * [backup-simplify]: Simplify (/ 1 1) into 1 8.180 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.180 * [taylor]: Taking taylor expansion of x in x 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.180 * [taylor]: Taking taylor expansion of x in x 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.181 * [backup-simplify]: Simplify (* 1 1) into 1 8.181 * [backup-simplify]: Simplify (/ 1 1) into 1 8.181 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.181 * [taylor]: Taking taylor expansion of 4.0 in x 8.181 * [backup-simplify]: Simplify 4.0 into 4.0 8.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.181 * [taylor]: Taking taylor expansion of y in x 8.181 * [backup-simplify]: Simplify y into y 8.182 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.182 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.182 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.182 * [taylor]: Taking taylor expansion of x in x 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.182 * [taylor]: Taking taylor expansion of x in x 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [backup-simplify]: Simplify (* 1 1) into 1 8.183 * [backup-simplify]: Simplify (/ 1 1) into 1 8.183 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.183 * [taylor]: Taking taylor expansion of 4.0 in x 8.183 * [backup-simplify]: Simplify 4.0 into 4.0 8.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.183 * [taylor]: Taking taylor expansion of y in x 8.183 * [backup-simplify]: Simplify y into y 8.183 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.183 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.184 * [backup-simplify]: Simplify (* 1 1) into 1 8.184 * [backup-simplify]: Simplify (+ 1 0) into 1 8.184 * [backup-simplify]: Simplify (* 1 1) into 1 8.184 * [taylor]: Taking taylor expansion of 1 in y 8.185 * [backup-simplify]: Simplify 1 into 1 8.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.186 * [backup-simplify]: Simplify (+ 0 0) into 0 8.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.188 * [taylor]: Taking taylor expansion of 0 in y 8.188 * [backup-simplify]: Simplify 0 into 0 8.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.190 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.190 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.192 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 8.192 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.192 * [taylor]: Taking taylor expansion of 4.0 in y 8.192 * [backup-simplify]: Simplify 4.0 into 4.0 8.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.192 * [taylor]: Taking taylor expansion of y in y 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 1 into 1 8.192 * [backup-simplify]: Simplify (* 1 1) into 1 8.193 * [backup-simplify]: Simplify (/ 1 1) into 1 8.193 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.193 * [backup-simplify]: Simplify 4.0 into 4.0 8.193 * [backup-simplify]: Simplify 1 into 1 8.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.196 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.196 * [backup-simplify]: Simplify (+ 0 0) into 0 8.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 8.199 * [taylor]: Taking taylor expansion of 0 in y 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.201 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.204 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.205 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.205 * [backup-simplify]: Simplify (+ 0 0) into 0 8.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into 0 8.209 * [taylor]: Taking taylor expansion of 0 in y 8.209 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.211 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (+ 1 (* 4.0 (pow (* (/ 1 (/ 1 y)) (/ 1 x)) 2))) into (+ (* 4.0 (/ (pow y 2) (pow x 2))) 1) 8.212 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 8.212 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 8.213 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 8.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.213 * [taylor]: Taking taylor expansion of x in y 8.213 * [backup-simplify]: Simplify x into x 8.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.213 * [taylor]: Taking taylor expansion of x in y 8.213 * [backup-simplify]: Simplify x into x 8.213 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.213 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.213 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.213 * [taylor]: Taking taylor expansion of 4.0 in y 8.213 * [backup-simplify]: Simplify 4.0 into 4.0 8.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.213 * [taylor]: Taking taylor expansion of y in y 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.214 * [backup-simplify]: Simplify (* 1 1) into 1 8.214 * [backup-simplify]: Simplify (/ 1 1) into 1 8.214 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.214 * [taylor]: Taking taylor expansion of x in x 8.214 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify 1 into 1 8.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.214 * [taylor]: Taking taylor expansion of x in x 8.214 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify 1 into 1 8.215 * [backup-simplify]: Simplify (* 1 1) into 1 8.215 * [backup-simplify]: Simplify (/ 1 1) into 1 8.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.215 * [taylor]: Taking taylor expansion of 4.0 in x 8.215 * [backup-simplify]: Simplify 4.0 into 4.0 8.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.215 * [taylor]: Taking taylor expansion of y in x 8.215 * [backup-simplify]: Simplify y into y 8.215 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.216 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.216 * [taylor]: Taking taylor expansion of x in x 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify 1 into 1 8.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.216 * [taylor]: Taking taylor expansion of x in x 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (* 1 1) into 1 8.217 * [backup-simplify]: Simplify (/ 1 1) into 1 8.217 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.217 * [taylor]: Taking taylor expansion of 4.0 in x 8.217 * [backup-simplify]: Simplify 4.0 into 4.0 8.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.217 * [taylor]: Taking taylor expansion of y in x 8.217 * [backup-simplify]: Simplify y into y 8.217 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.217 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.217 * [backup-simplify]: Simplify (* 1 1) into 1 8.218 * [backup-simplify]: Simplify (+ 1 0) into 1 8.225 * [backup-simplify]: Simplify (* 1 1) into 1 8.225 * [taylor]: Taking taylor expansion of 1 in y 8.225 * [backup-simplify]: Simplify 1 into 1 8.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.227 * [backup-simplify]: Simplify (+ 0 0) into 0 8.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.228 * [taylor]: Taking taylor expansion of 0 in y 8.228 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.230 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.230 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.231 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 8.231 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.231 * [taylor]: Taking taylor expansion of 4.0 in y 8.231 * [backup-simplify]: Simplify 4.0 into 4.0 8.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.231 * [taylor]: Taking taylor expansion of y in y 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.231 * [backup-simplify]: Simplify (* 1 1) into 1 8.232 * [backup-simplify]: Simplify (/ 1 1) into 1 8.232 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.232 * [backup-simplify]: Simplify 4.0 into 4.0 8.232 * [backup-simplify]: Simplify 1 into 1 8.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.233 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.234 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.234 * [backup-simplify]: Simplify (+ 0 0) into 0 8.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 8.236 * [taylor]: Taking taylor expansion of 0 in y 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.237 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.239 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.240 * [backup-simplify]: Simplify (+ 0 0) into 0 8.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into 0 8.241 * [taylor]: Taking taylor expansion of 0 in y 8.241 * [backup-simplify]: Simplify 0 into 0 8.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.243 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify (+ 1 (* 4.0 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (- x))) 2))) into (+ (* 4.0 (/ (pow y 2) (pow x 2))) 1) 8.243 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 8.243 * [backup-simplify]: Simplify (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) into (* 0.25 (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2))) 8.243 * [approximate]: Taking taylor expansion of (* 0.25 (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2))) in (x y) around 0 8.244 * [taylor]: Taking taylor expansion of (* 0.25 (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2))) in y 8.244 * [taylor]: Taking taylor expansion of 0.25 in y 8.244 * [backup-simplify]: Simplify 0.25 into 0.25 8.244 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2)) in y 8.244 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 8.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.244 * [taylor]: Taking taylor expansion of x in y 8.244 * [backup-simplify]: Simplify x into x 8.244 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.244 * [taylor]: Taking taylor expansion of 4.0 in y 8.244 * [backup-simplify]: Simplify 4.0 into 4.0 8.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.244 * [taylor]: Taking taylor expansion of y in y 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify 1 into 1 8.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.244 * [taylor]: Taking taylor expansion of y in y 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify 1 into 1 8.244 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.244 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.244 * [backup-simplify]: Simplify (* 1 1) into 1 8.244 * [backup-simplify]: Simplify (/ (pow x 2) 1) into (pow x 2) 8.244 * [taylor]: Taking taylor expansion of (* 0.25 (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2))) in x 8.244 * [taylor]: Taking taylor expansion of 0.25 in x 8.244 * [backup-simplify]: Simplify 0.25 into 0.25 8.244 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2)) in x 8.244 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.244 * [taylor]: Taking taylor expansion of x in x 8.244 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.245 * [taylor]: Taking taylor expansion of 4.0 in x 8.245 * [backup-simplify]: Simplify 4.0 into 4.0 8.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.245 * [taylor]: Taking taylor expansion of y in x 8.245 * [backup-simplify]: Simplify y into y 8.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.245 * [taylor]: Taking taylor expansion of y in x 8.245 * [backup-simplify]: Simplify y into y 8.245 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.245 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.245 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.245 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.245 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (pow y 2)) into 4.0 8.245 * [taylor]: Taking taylor expansion of (* 0.25 (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2))) in x 8.245 * [taylor]: Taking taylor expansion of 0.25 in x 8.245 * [backup-simplify]: Simplify 0.25 into 0.25 8.245 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (pow y 2)) in x 8.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.245 * [taylor]: Taking taylor expansion of x in x 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.245 * [taylor]: Taking taylor expansion of 4.0 in x 8.245 * [backup-simplify]: Simplify 4.0 into 4.0 8.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.245 * [taylor]: Taking taylor expansion of y in x 8.245 * [backup-simplify]: Simplify y into y 8.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.245 * [taylor]: Taking taylor expansion of y in x 8.245 * [backup-simplify]: Simplify y into y 8.245 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.246 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.246 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.246 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.246 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (pow y 2)) into 4.0 8.246 * [backup-simplify]: Simplify (* 0.25 4.0) into 1.0 8.246 * [taylor]: Taking taylor expansion of 1.0 in y 8.246 * [backup-simplify]: Simplify 1.0 into 1.0 8.246 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.247 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.247 * [backup-simplify]: Simplify (+ 0 0) into 0 8.247 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.247 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 4.0 (/ 0 (pow y 2))))) into 0 8.248 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 4.0)) into 0 8.248 * [taylor]: Taking taylor expansion of 0 in y 8.248 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify (* 1 1) into 1 8.248 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.249 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.249 * [backup-simplify]: Simplify (+ 1 0) into 1 8.249 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.250 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* 4.0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (/ 1 (pow y 2)) 8.250 * [backup-simplify]: Simplify (+ (* 0.25 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 4.0))) into (* 0.25 (/ 1 (pow y 2))) 8.250 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow y 2))) in y 8.250 * [taylor]: Taking taylor expansion of 0.25 in y 8.250 * [backup-simplify]: Simplify 0.25 into 0.25 8.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.250 * [taylor]: Taking taylor expansion of y in y 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify 1 into 1 8.251 * [backup-simplify]: Simplify (* 1 1) into 1 8.251 * [backup-simplify]: Simplify (/ 1 1) into 1 8.251 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 8.251 * [backup-simplify]: Simplify 0.25 into 0.25 8.251 * [backup-simplify]: Simplify 1.0 into 1.0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.252 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.253 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.253 * [backup-simplify]: Simplify (+ 0 0) into 0 8.253 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.254 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 4.0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.255 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 4.0)))) into 0 8.255 * [taylor]: Taking taylor expansion of 0 in y 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.256 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.257 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.258 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.258 * [backup-simplify]: Simplify (+ 0 0) into 0 8.259 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.260 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 4.0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.261 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 4.0))))) into 0 8.261 * [taylor]: Taking taylor expansion of 0 in y 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.262 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 8.262 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify (+ 1.0 (* 0.25 (pow (* (/ 1 y) x) 2))) into (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) 8.263 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (* (* (/ 1 y) 4.0) (/ 1 y))) into (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 8.263 * [approximate]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (x y) around 0 8.263 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 8.263 * [taylor]: Taking taylor expansion of 0.25 in y 8.263 * [backup-simplify]: Simplify 0.25 into 0.25 8.263 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 8.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.263 * [taylor]: Taking taylor expansion of x in y 8.263 * [backup-simplify]: Simplify x into x 8.263 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.263 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.263 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.263 * [taylor]: Taking taylor expansion of 4.0 in y 8.263 * [backup-simplify]: Simplify 4.0 into 4.0 8.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.263 * [taylor]: Taking taylor expansion of y in y 8.263 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify 1 into 1 8.264 * [backup-simplify]: Simplify (* 1 1) into 1 8.264 * [backup-simplify]: Simplify (/ 1 1) into 1 8.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.264 * [taylor]: Taking taylor expansion of y in y 8.264 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify 1 into 1 8.264 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 8.264 * [taylor]: Taking taylor expansion of 0.25 in x 8.264 * [backup-simplify]: Simplify 0.25 into 0.25 8.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 8.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.264 * [taylor]: Taking taylor expansion of x in x 8.264 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify 1 into 1 8.264 * [backup-simplify]: Simplify (* 1 1) into 1 8.265 * [backup-simplify]: Simplify (/ 1 1) into 1 8.265 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.265 * [taylor]: Taking taylor expansion of 4.0 in x 8.265 * [backup-simplify]: Simplify 4.0 into 4.0 8.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.265 * [taylor]: Taking taylor expansion of y in x 8.265 * [backup-simplify]: Simplify y into y 8.265 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.265 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.265 * [taylor]: Taking taylor expansion of y in x 8.265 * [backup-simplify]: Simplify y into y 8.265 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 8.265 * [taylor]: Taking taylor expansion of 0.25 in x 8.265 * [backup-simplify]: Simplify 0.25 into 0.25 8.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 8.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.265 * [taylor]: Taking taylor expansion of x in x 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 1 into 1 8.265 * [backup-simplify]: Simplify (* 1 1) into 1 8.266 * [backup-simplify]: Simplify (/ 1 1) into 1 8.266 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.266 * [taylor]: Taking taylor expansion of 4.0 in x 8.266 * [backup-simplify]: Simplify 4.0 into 4.0 8.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.266 * [taylor]: Taking taylor expansion of y in x 8.266 * [backup-simplify]: Simplify y into y 8.266 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.266 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.266 * [taylor]: Taking taylor expansion of y in x 8.266 * [backup-simplify]: Simplify y into y 8.266 * [backup-simplify]: Simplify (+ 1 0) into 1 8.266 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.266 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 8.266 * [backup-simplify]: Simplify (* 0.25 (pow y 2)) into (* 0.25 (pow y 2)) 8.266 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 2)) in y 8.266 * [taylor]: Taking taylor expansion of 0.25 in y 8.266 * [backup-simplify]: Simplify 0.25 into 0.25 8.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.267 * [taylor]: Taking taylor expansion of y in y 8.267 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify 1 into 1 8.267 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.268 * [backup-simplify]: Simplify (+ 0 0) into 0 8.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 8.268 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (pow y 2))) into 0 8.268 * [taylor]: Taking taylor expansion of 0 in y 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.270 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.270 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) (pow y 2)))) into 4.0 8.271 * [backup-simplify]: Simplify (+ (* 0.25 4.0) (+ (* 0 0) (* 0 (pow y 2)))) into 1.0 8.271 * [taylor]: Taking taylor expansion of 1.0 in y 8.271 * [backup-simplify]: Simplify 1.0 into 1.0 8.271 * [backup-simplify]: Simplify 1.0 into 1.0 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify (* 1 1) into 1 8.272 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 8.272 * [backup-simplify]: Simplify 0.25 into 0.25 8.272 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.273 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.274 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.274 * [backup-simplify]: Simplify (+ 0 0) into 0 8.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (* 0 (pow y 2))))) into 0 8.276 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 4.0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.276 * [taylor]: Taking taylor expansion of 0 in y 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.277 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 8.277 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.279 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.280 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.280 * [backup-simplify]: Simplify (+ 0 0) into 0 8.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.283 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 4.0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.283 * [taylor]: Taking taylor expansion of 0 in y 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify (+ (* 0.25 (pow (* (/ 1 y) (/ 1 (/ 1 x))) 2)) 1.0) into (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) 8.284 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 8.284 * [approximate]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (x y) around 0 8.284 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 8.284 * [taylor]: Taking taylor expansion of 0.25 in y 8.284 * [backup-simplify]: Simplify 0.25 into 0.25 8.284 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 8.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.284 * [taylor]: Taking taylor expansion of x in y 8.284 * [backup-simplify]: Simplify x into x 8.284 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.284 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.284 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.284 * [taylor]: Taking taylor expansion of 4.0 in y 8.285 * [backup-simplify]: Simplify 4.0 into 4.0 8.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.285 * [taylor]: Taking taylor expansion of y in y 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.285 * [backup-simplify]: Simplify (* 1 1) into 1 8.285 * [backup-simplify]: Simplify (/ 1 1) into 1 8.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.286 * [taylor]: Taking taylor expansion of y in y 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 1 into 1 8.286 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 8.286 * [taylor]: Taking taylor expansion of 0.25 in x 8.286 * [backup-simplify]: Simplify 0.25 into 0.25 8.286 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 8.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.286 * [taylor]: Taking taylor expansion of x in x 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify 1 into 1 8.286 * [backup-simplify]: Simplify (* 1 1) into 1 8.287 * [backup-simplify]: Simplify (/ 1 1) into 1 8.287 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.287 * [taylor]: Taking taylor expansion of 4.0 in x 8.287 * [backup-simplify]: Simplify 4.0 into 4.0 8.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.287 * [taylor]: Taking taylor expansion of y in x 8.287 * [backup-simplify]: Simplify y into y 8.287 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.287 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.287 * [taylor]: Taking taylor expansion of y in x 8.287 * [backup-simplify]: Simplify y into y 8.287 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 8.287 * [taylor]: Taking taylor expansion of 0.25 in x 8.287 * [backup-simplify]: Simplify 0.25 into 0.25 8.287 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 8.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.287 * [taylor]: Taking taylor expansion of x in x 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [backup-simplify]: Simplify (* 1 1) into 1 8.288 * [backup-simplify]: Simplify (/ 1 1) into 1 8.288 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.288 * [taylor]: Taking taylor expansion of 4.0 in x 8.288 * [backup-simplify]: Simplify 4.0 into 4.0 8.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.288 * [taylor]: Taking taylor expansion of y in x 8.288 * [backup-simplify]: Simplify y into y 8.289 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.289 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.289 * [taylor]: Taking taylor expansion of y in x 8.289 * [backup-simplify]: Simplify y into y 8.289 * [backup-simplify]: Simplify (+ 1 0) into 1 8.289 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.289 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 8.290 * [backup-simplify]: Simplify (* 0.25 (pow y 2)) into (* 0.25 (pow y 2)) 8.290 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 2)) in y 8.290 * [taylor]: Taking taylor expansion of 0.25 in y 8.290 * [backup-simplify]: Simplify 0.25 into 0.25 8.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.290 * [taylor]: Taking taylor expansion of y in y 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify 1 into 1 8.290 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.292 * [backup-simplify]: Simplify (+ 0 0) into 0 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 8.293 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (pow y 2))) into 0 8.293 * [taylor]: Taking taylor expansion of 0 in y 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.295 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.295 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) (pow y 2)))) into 4.0 8.297 * [backup-simplify]: Simplify (+ (* 0.25 4.0) (+ (* 0 0) (* 0 (pow y 2)))) into 1.0 8.297 * [taylor]: Taking taylor expansion of 1.0 in y 8.297 * [backup-simplify]: Simplify 1.0 into 1.0 8.297 * [backup-simplify]: Simplify 1.0 into 1.0 8.298 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify (* 1 1) into 1 8.298 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 8.298 * [backup-simplify]: Simplify 0.25 into 0.25 8.299 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.302 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.303 * [backup-simplify]: Simplify (+ 0 0) into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (* 0 (pow y 2))))) into 0 8.305 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 4.0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.305 * [taylor]: Taking taylor expansion of 0 in y 8.305 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.307 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 8.307 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.311 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.312 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.312 * [backup-simplify]: Simplify (+ 0 0) into 0 8.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.316 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 4.0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.316 * [taylor]: Taking taylor expansion of 0 in y 8.316 * [backup-simplify]: Simplify 0 into 0 8.316 * [backup-simplify]: Simplify 0 into 0 8.316 * [backup-simplify]: Simplify 0 into 0 8.316 * [backup-simplify]: Simplify (+ (* 0.25 (pow (* (/ 1 (- y)) (/ 1 (/ 1 (- x)))) 2)) 1.0) into (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) 8.316 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.317 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) into (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) 8.317 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (x y) around 0 8.317 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 8.317 * [taylor]: Taking taylor expansion of 4.0 in y 8.317 * [backup-simplify]: Simplify 4.0 into 4.0 8.317 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 8.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.317 * [taylor]: Taking taylor expansion of y in y 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 1 into 1 8.317 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 8.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.317 * [taylor]: Taking taylor expansion of x in y 8.317 * [backup-simplify]: Simplify x into x 8.317 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.317 * [taylor]: Taking taylor expansion of 4.0 in y 8.317 * [backup-simplify]: Simplify 4.0 into 4.0 8.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.317 * [taylor]: Taking taylor expansion of y in y 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 1 into 1 8.318 * [backup-simplify]: Simplify (* 1 1) into 1 8.318 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.318 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.318 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.318 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 8.318 * [taylor]: Taking taylor expansion of 4.0 in x 8.318 * [backup-simplify]: Simplify 4.0 into 4.0 8.318 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 8.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.318 * [taylor]: Taking taylor expansion of y in x 8.318 * [backup-simplify]: Simplify y into y 8.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.319 * [taylor]: Taking taylor expansion of x in x 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.319 * [taylor]: Taking taylor expansion of 4.0 in x 8.319 * [backup-simplify]: Simplify 4.0 into 4.0 8.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.319 * [taylor]: Taking taylor expansion of y in x 8.319 * [backup-simplify]: Simplify y into y 8.319 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.319 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.319 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.319 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.320 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 8.320 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 8.320 * [taylor]: Taking taylor expansion of 4.0 in x 8.320 * [backup-simplify]: Simplify 4.0 into 4.0 8.320 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 8.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.320 * [taylor]: Taking taylor expansion of y in x 8.320 * [backup-simplify]: Simplify y into y 8.320 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.320 * [taylor]: Taking taylor expansion of x in x 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 1 into 1 8.320 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.320 * [taylor]: Taking taylor expansion of 4.0 in x 8.320 * [backup-simplify]: Simplify 4.0 into 4.0 8.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.320 * [taylor]: Taking taylor expansion of y in x 8.320 * [backup-simplify]: Simplify y into y 8.320 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.320 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.320 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.321 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.321 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 8.321 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0 8.322 * [taylor]: Taking taylor expansion of 1.0 in y 8.322 * [backup-simplify]: Simplify 1.0 into 1.0 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.322 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.322 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.323 * [backup-simplify]: Simplify (+ 0 0) into 0 8.323 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0 8.324 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0 8.324 * [taylor]: Taking taylor expansion of 0 in y 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.325 * [backup-simplify]: Simplify (* 1 1) into 1 8.325 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.326 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.327 * [backup-simplify]: Simplify (+ 1 0) into 1 8.327 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 2)))) 8.328 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2)))) 8.328 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow y 2)))) in y 8.328 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow y 2))) in y 8.328 * [taylor]: Taking taylor expansion of 0.25 in y 8.328 * [backup-simplify]: Simplify 0.25 into 0.25 8.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.329 * [taylor]: Taking taylor expansion of y in y 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 1 into 1 8.329 * [backup-simplify]: Simplify (* 1 1) into 1 8.329 * [backup-simplify]: Simplify (/ 1 1) into 1 8.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.339 * [backup-simplify]: Simplify (- 0) into 0 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 8.340 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (x y) around 0 8.340 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 8.340 * [taylor]: Taking taylor expansion of 4.0 in y 8.340 * [backup-simplify]: Simplify 4.0 into 4.0 8.340 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 8.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.340 * [taylor]: Taking taylor expansion of x in y 8.340 * [backup-simplify]: Simplify x into x 8.340 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.340 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.340 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.340 * [taylor]: Taking taylor expansion of 4.0 in y 8.340 * [backup-simplify]: Simplify 4.0 into 4.0 8.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.340 * [taylor]: Taking taylor expansion of y in y 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.341 * [backup-simplify]: Simplify (* 1 1) into 1 8.341 * [backup-simplify]: Simplify (/ 1 1) into 1 8.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.341 * [taylor]: Taking taylor expansion of y in y 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 1 into 1 8.342 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.342 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 8.343 * [backup-simplify]: Simplify (* 1 1) into 1 8.343 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.344 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 8.344 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 8.344 * [taylor]: Taking taylor expansion of 4.0 in x 8.344 * [backup-simplify]: Simplify 4.0 into 4.0 8.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 8.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.344 * [taylor]: Taking taylor expansion of x in x 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (* 1 1) into 1 8.351 * [backup-simplify]: Simplify (/ 1 1) into 1 8.351 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.351 * [taylor]: Taking taylor expansion of 4.0 in x 8.351 * [backup-simplify]: Simplify 4.0 into 4.0 8.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.352 * [taylor]: Taking taylor expansion of y in x 8.352 * [backup-simplify]: Simplify y into y 8.352 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.352 * [taylor]: Taking taylor expansion of y in x 8.352 * [backup-simplify]: Simplify y into y 8.353 * [backup-simplify]: Simplify (+ 1 0) into 1 8.353 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.353 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 8.353 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 8.353 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 8.353 * [taylor]: Taking taylor expansion of 4.0 in x 8.353 * [backup-simplify]: Simplify 4.0 into 4.0 8.353 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 8.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.354 * [taylor]: Taking taylor expansion of x in x 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify 1 into 1 8.354 * [backup-simplify]: Simplify (* 1 1) into 1 8.354 * [backup-simplify]: Simplify (/ 1 1) into 1 8.354 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.355 * [taylor]: Taking taylor expansion of 4.0 in x 8.355 * [backup-simplify]: Simplify 4.0 into 4.0 8.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.355 * [taylor]: Taking taylor expansion of y in x 8.355 * [backup-simplify]: Simplify y into y 8.355 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.355 * [taylor]: Taking taylor expansion of y in x 8.355 * [backup-simplify]: Simplify y into y 8.356 * [backup-simplify]: Simplify (+ 1 0) into 1 8.356 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.356 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 8.356 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 8.356 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 8.356 * [taylor]: Taking taylor expansion of 4.0 in y 8.356 * [backup-simplify]: Simplify 4.0 into 4.0 8.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.356 * [taylor]: Taking taylor expansion of y in y 8.356 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify 1 into 1 8.357 * [backup-simplify]: Simplify (* 1 1) into 1 8.357 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 8.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 8.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.360 * [backup-simplify]: Simplify (+ 0 0) into 0 8.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 8.361 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 4.0 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.361 * [taylor]: Taking taylor expansion of 0 in y 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.362 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.364 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) (pow y 2)))) into 4.0 8.365 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 4.0 (pow y 2)) (/ 4.0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (* 16.0 (/ 1 (pow y 4)))) 8.365 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow y 4)))) in y 8.365 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow y 4))) in y 8.365 * [taylor]: Taking taylor expansion of 16.0 in y 8.365 * [backup-simplify]: Simplify 16.0 into 16.0 8.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.365 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.365 * [taylor]: Taking taylor expansion of y in y 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (* 1 1) into 1 8.366 * [backup-simplify]: Simplify (* 1 1) into 1 8.366 * [backup-simplify]: Simplify (/ 1 1) into 1 8.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.373 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 8.375 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (x y) around 0 8.375 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 8.375 * [taylor]: Taking taylor expansion of 4.0 in y 8.375 * [backup-simplify]: Simplify 4.0 into 4.0 8.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 8.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.375 * [taylor]: Taking taylor expansion of x in y 8.375 * [backup-simplify]: Simplify x into x 8.375 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.375 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.375 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.375 * [taylor]: Taking taylor expansion of 4.0 in y 8.375 * [backup-simplify]: Simplify 4.0 into 4.0 8.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.375 * [taylor]: Taking taylor expansion of y in y 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [backup-simplify]: Simplify 1 into 1 8.376 * [backup-simplify]: Simplify (* 1 1) into 1 8.376 * [backup-simplify]: Simplify (/ 1 1) into 1 8.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.376 * [taylor]: Taking taylor expansion of y in y 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 1 into 1 8.376 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.377 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 8.377 * [backup-simplify]: Simplify (* 1 1) into 1 8.377 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.377 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 8.377 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 8.377 * [taylor]: Taking taylor expansion of 4.0 in x 8.377 * [backup-simplify]: Simplify 4.0 into 4.0 8.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 8.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.378 * [taylor]: Taking taylor expansion of x in x 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.378 * [backup-simplify]: Simplify (/ 1 1) into 1 8.378 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.378 * [taylor]: Taking taylor expansion of 4.0 in x 8.378 * [backup-simplify]: Simplify 4.0 into 4.0 8.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.378 * [taylor]: Taking taylor expansion of y in x 8.378 * [backup-simplify]: Simplify y into y 8.378 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.378 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.378 * [taylor]: Taking taylor expansion of y in x 8.378 * [backup-simplify]: Simplify y into y 8.379 * [backup-simplify]: Simplify (+ 1 0) into 1 8.379 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.379 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 8.379 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 8.379 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 8.379 * [taylor]: Taking taylor expansion of 4.0 in x 8.379 * [backup-simplify]: Simplify 4.0 into 4.0 8.379 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 8.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.379 * [taylor]: Taking taylor expansion of x in x 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 1 into 1 8.379 * [backup-simplify]: Simplify (* 1 1) into 1 8.380 * [backup-simplify]: Simplify (/ 1 1) into 1 8.380 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.380 * [taylor]: Taking taylor expansion of 4.0 in x 8.380 * [backup-simplify]: Simplify 4.0 into 4.0 8.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.380 * [taylor]: Taking taylor expansion of y in x 8.380 * [backup-simplify]: Simplify y into y 8.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.380 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.380 * [taylor]: Taking taylor expansion of y in x 8.380 * [backup-simplify]: Simplify y into y 8.380 * [backup-simplify]: Simplify (+ 1 0) into 1 8.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.380 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 8.380 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 8.380 * [taylor]: Taking taylor expansion of (/ 4.0 (pow y 2)) in y 8.380 * [taylor]: Taking taylor expansion of 4.0 in y 8.380 * [backup-simplify]: Simplify 4.0 into 4.0 8.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.381 * [taylor]: Taking taylor expansion of y in y 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 1 into 1 8.381 * [backup-simplify]: Simplify (* 1 1) into 1 8.381 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 8.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.384 * [backup-simplify]: Simplify (+ 0 0) into 0 8.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 8.385 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 4.0 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.385 * [taylor]: Taking taylor expansion of 0 in y 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.388 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.388 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) (pow y 2)))) into 4.0 8.389 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 4.0 (pow y 2)) (/ 4.0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (* 16.0 (/ 1 (pow y 4)))) 8.389 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow y 4)))) in y 8.389 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow y 4))) in y 8.389 * [taylor]: Taking taylor expansion of 16.0 in y 8.389 * [backup-simplify]: Simplify 16.0 into 16.0 8.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.389 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.389 * [taylor]: Taking taylor expansion of y in y 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 1 into 1 8.389 * [backup-simplify]: Simplify (* 1 1) into 1 8.389 * [backup-simplify]: Simplify (* 1 1) into 1 8.390 * [backup-simplify]: Simplify (/ 1 1) into 1 8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.396 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.397 * [backup-simplify]: Simplify (- 0) into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.398 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) 8.398 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 8.398 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 8.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.398 * [taylor]: Taking taylor expansion of x in y 8.398 * [backup-simplify]: Simplify x into x 8.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 8.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.398 * [taylor]: Taking taylor expansion of x in y 8.398 * [backup-simplify]: Simplify x into x 8.399 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.399 * [taylor]: Taking taylor expansion of 4.0 in y 8.399 * [backup-simplify]: Simplify 4.0 into 4.0 8.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.399 * [taylor]: Taking taylor expansion of y in y 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.399 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.399 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.399 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 8.399 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 8.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.399 * [taylor]: Taking taylor expansion of x in x 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.399 * [taylor]: Taking taylor expansion of x in x 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.399 * [taylor]: Taking taylor expansion of 4.0 in x 8.399 * [backup-simplify]: Simplify 4.0 into 4.0 8.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.399 * [taylor]: Taking taylor expansion of y in x 8.399 * [backup-simplify]: Simplify y into y 8.399 * [backup-simplify]: Simplify (* 1 1) into 1 8.400 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.400 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.400 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.400 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 8.400 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 8.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.400 * [taylor]: Taking taylor expansion of x in x 8.400 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify 1 into 1 8.400 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.400 * [taylor]: Taking taylor expansion of x in x 8.400 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify 1 into 1 8.400 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.400 * [taylor]: Taking taylor expansion of 4.0 in x 8.400 * [backup-simplify]: Simplify 4.0 into 4.0 8.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.400 * [taylor]: Taking taylor expansion of y in x 8.400 * [backup-simplify]: Simplify y into y 8.400 * [backup-simplify]: Simplify (* 1 1) into 1 8.400 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.401 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.401 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.401 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 8.401 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 8.401 * [taylor]: Taking taylor expansion of 0.25 in y 8.401 * [backup-simplify]: Simplify 0.25 into 0.25 8.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.401 * [taylor]: Taking taylor expansion of y in y 8.401 * [backup-simplify]: Simplify 0 into 0 8.401 * [backup-simplify]: Simplify 1 into 1 8.402 * [backup-simplify]: Simplify (* 1 1) into 1 8.402 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 8.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 8.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.406 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.406 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.407 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.407 * [backup-simplify]: Simplify (+ 0 0) into 0 8.408 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 8.408 * [taylor]: Taking taylor expansion of 0 in y 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.410 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.411 * [backup-simplify]: Simplify (* 1 1) into 1 8.412 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.413 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.413 * [backup-simplify]: Simplify (+ 1 0) into 1 8.414 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 8.414 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 8.414 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 8.414 * [taylor]: Taking taylor expansion of 0.0625 in y 8.414 * [backup-simplify]: Simplify 0.0625 into 0.0625 8.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.414 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.414 * [taylor]: Taking taylor expansion of y in y 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify 1 into 1 8.414 * [backup-simplify]: Simplify (* 1 1) into 1 8.415 * [backup-simplify]: Simplify (* 1 1) into 1 8.415 * [backup-simplify]: Simplify (/ 1 1) into 1 8.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.428 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.428 * [backup-simplify]: Simplify (- 0) into 0 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.430 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 8.430 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 8.430 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 8.430 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 8.430 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.430 * [taylor]: Taking taylor expansion of x in y 8.430 * [backup-simplify]: Simplify x into x 8.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.430 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.430 * [taylor]: Taking taylor expansion of x in y 8.430 * [backup-simplify]: Simplify x into x 8.430 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.430 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.430 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.430 * [taylor]: Taking taylor expansion of 4.0 in y 8.430 * [backup-simplify]: Simplify 4.0 into 4.0 8.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.430 * [taylor]: Taking taylor expansion of y in y 8.430 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify 1 into 1 8.431 * [backup-simplify]: Simplify (* 1 1) into 1 8.431 * [backup-simplify]: Simplify (/ 1 1) into 1 8.431 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.431 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.431 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 8.432 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 8.432 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 8.432 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 8.432 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.432 * [taylor]: Taking taylor expansion of x in x 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.432 * [taylor]: Taking taylor expansion of x in x 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [backup-simplify]: Simplify (* 1 1) into 1 8.432 * [backup-simplify]: Simplify (/ 1 1) into 1 8.432 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.432 * [taylor]: Taking taylor expansion of 4.0 in x 8.432 * [backup-simplify]: Simplify 4.0 into 4.0 8.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.432 * [taylor]: Taking taylor expansion of y in x 8.433 * [backup-simplify]: Simplify y into y 8.433 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.433 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.433 * [backup-simplify]: Simplify (* 1 1) into 1 8.433 * [backup-simplify]: Simplify (+ 1 0) into 1 8.433 * [backup-simplify]: Simplify (* 1 1) into 1 8.434 * [backup-simplify]: Simplify (/ 1 1) into 1 8.434 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 8.434 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.434 * [taylor]: Taking taylor expansion of x in x 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify 1 into 1 8.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.434 * [taylor]: Taking taylor expansion of x in x 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify 1 into 1 8.434 * [backup-simplify]: Simplify (* 1 1) into 1 8.434 * [backup-simplify]: Simplify (/ 1 1) into 1 8.434 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.434 * [taylor]: Taking taylor expansion of 4.0 in x 8.434 * [backup-simplify]: Simplify 4.0 into 4.0 8.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.434 * [taylor]: Taking taylor expansion of y in x 8.434 * [backup-simplify]: Simplify y into y 8.434 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.435 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.435 * [backup-simplify]: Simplify (* 1 1) into 1 8.435 * [backup-simplify]: Simplify (+ 1 0) into 1 8.435 * [backup-simplify]: Simplify (* 1 1) into 1 8.436 * [backup-simplify]: Simplify (/ 1 1) into 1 8.436 * [taylor]: Taking taylor expansion of 1 in y 8.436 * [backup-simplify]: Simplify 1 into 1 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify (+ 0 0) into 0 8.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.438 * [taylor]: Taking taylor expansion of 0 in y 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.439 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.439 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.440 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 8.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 8.441 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 8.441 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.441 * [taylor]: Taking taylor expansion of 4.0 in y 8.441 * [backup-simplify]: Simplify 4.0 into 4.0 8.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.441 * [taylor]: Taking taylor expansion of y in y 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (* 1 1) into 1 8.441 * [backup-simplify]: Simplify (/ 1 1) into 1 8.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.446 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.446 * [backup-simplify]: Simplify (- 0) into 0 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 8.447 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 8.447 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 8.447 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 8.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.447 * [taylor]: Taking taylor expansion of x in y 8.447 * [backup-simplify]: Simplify x into x 8.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.447 * [taylor]: Taking taylor expansion of x in y 8.447 * [backup-simplify]: Simplify x into x 8.447 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.447 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.447 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.447 * [taylor]: Taking taylor expansion of 4.0 in y 8.447 * [backup-simplify]: Simplify 4.0 into 4.0 8.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.447 * [taylor]: Taking taylor expansion of y in y 8.447 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 1 into 1 8.448 * [backup-simplify]: Simplify (* 1 1) into 1 8.448 * [backup-simplify]: Simplify (/ 1 1) into 1 8.448 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.448 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.449 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 8.449 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 8.449 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 8.449 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 8.449 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.449 * [taylor]: Taking taylor expansion of x in x 8.449 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify 1 into 1 8.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.449 * [taylor]: Taking taylor expansion of x in x 8.449 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify 1 into 1 8.449 * [backup-simplify]: Simplify (* 1 1) into 1 8.450 * [backup-simplify]: Simplify (/ 1 1) into 1 8.450 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.450 * [taylor]: Taking taylor expansion of 4.0 in x 8.450 * [backup-simplify]: Simplify 4.0 into 4.0 8.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.450 * [taylor]: Taking taylor expansion of y in x 8.450 * [backup-simplify]: Simplify y into y 8.450 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.450 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.450 * [backup-simplify]: Simplify (* 1 1) into 1 8.451 * [backup-simplify]: Simplify (+ 1 0) into 1 8.451 * [backup-simplify]: Simplify (* 1 1) into 1 8.451 * [backup-simplify]: Simplify (/ 1 1) into 1 8.451 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 8.451 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.451 * [taylor]: Taking taylor expansion of x in x 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 1 into 1 8.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.451 * [taylor]: Taking taylor expansion of x in x 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 1 into 1 8.451 * [backup-simplify]: Simplify (* 1 1) into 1 8.452 * [backup-simplify]: Simplify (/ 1 1) into 1 8.452 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.452 * [taylor]: Taking taylor expansion of 4.0 in x 8.452 * [backup-simplify]: Simplify 4.0 into 4.0 8.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.452 * [taylor]: Taking taylor expansion of y in x 8.452 * [backup-simplify]: Simplify y into y 8.452 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.452 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.452 * [backup-simplify]: Simplify (* 1 1) into 1 8.453 * [backup-simplify]: Simplify (+ 1 0) into 1 8.453 * [backup-simplify]: Simplify (* 1 1) into 1 8.453 * [backup-simplify]: Simplify (/ 1 1) into 1 8.453 * [taylor]: Taking taylor expansion of 1 in y 8.453 * [backup-simplify]: Simplify 1 into 1 8.453 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.454 * [backup-simplify]: Simplify (+ 0 0) into 0 8.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.456 * [taylor]: Taking taylor expansion of 0 in y 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.457 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.457 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.464 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 8.465 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 8.465 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.465 * [taylor]: Taking taylor expansion of 4.0 in y 8.465 * [backup-simplify]: Simplify 4.0 into 4.0 8.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.465 * [taylor]: Taking taylor expansion of y in y 8.465 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 1 into 1 8.466 * [backup-simplify]: Simplify (* 1 1) into 1 8.466 * [backup-simplify]: Simplify (/ 1 1) into 1 8.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.471 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.471 * [backup-simplify]: Simplify (- 0) into 0 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * * * [progress]: simplifying candidates 8.475 * [simplify]: Simplifying: (- (log (+ (* x x) (* (* y 4.0) y))) (+ (log x) (log x))) (- (log (+ (* x x) (* (* y 4.0) y))) (log (* x x))) (log (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (exp (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (* (* (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (sqrt 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y)) (* x x))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (/ 1 (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) x)) (/ 1 (/ (sqrt (+ (* x x) (* (* y 4.0) y))) x)) (/ 1 (/ 1 x)) (/ 1 1) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (cbrt 1)) (/ (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (sqrt 1)) (/ (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) 1) (/ 1 (+ (* x x) (* (* y 4.0) y))) (+ 1 (* 4.0 (/ (pow y 2) (pow x 2)))) (+ (* 4.0 (/ (pow y 2) (pow x 2))) 1) (+ (* 4.0 (/ (pow y 2) (pow x 2))) 1) (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) 0 0 0 0 0 0 8.480 * * [simplify]: Extracting # 0 : cost 0 8.480 * * [simplify]: Extracting # 1 : cost 0 8.481 * * [simplify]: Extracting # 2 : cost 0 8.481 * * [simplify]: Extracting # 3 : cost 0 8.481 * * [simplify]: Extracting # 4 : cost 0 8.481 * * [simplify]: Extracting # 5 : cost 0 8.482 * * [simplify]: Extracting # 6 : cost 0 8.482 * * [simplify]: Extracting # 7 : cost 0 8.482 * * [simplify]: Extracting # 8 : cost 0 8.482 * * [simplify]: iteration 0 : 238 enodes (cost 3994 ) 8.563 * * [simplify]: Extracting # 0 : cost 0 8.563 * * [simplify]: Extracting # 1 : cost 0 8.564 * * [simplify]: Extracting # 2 : cost 0 8.564 * * [simplify]: Extracting # 3 : cost 0 8.565 * * [simplify]: iteration 1 : 575 enodes (cost 3701 ) 8.866 * * [simplify]: Extracting # 0 : cost 0 8.869 * * [simplify]: Extracting # 1 : cost 0 8.870 * * [simplify]: Extracting # 2 : cost 0 8.872 * * [simplify]: Extracting # 3 : cost 0 8.876 * * [simplify]: Extracting # 4 : cost 0 8.879 * * [simplify]: Extracting # 5 : cost 0 8.884 * * [simplify]: iteration 2 : 1866 enodes (cost 3102 ) 10.270 * * [simplify]: Extracting # 0 : cost 0 10.291 * * [simplify]: Extracting # 1 : cost 0 10.302 * * [simplify]: Extracting # 2 : cost 0 10.312 * * [simplify]: Extracting # 3 : cost 0 10.322 * * [simplify]: Extracting # 4 : cost 0 10.333 * * [simplify]: iteration done: 5001 enodes (cost 3084 ) 10.336 * [simplify]: Simplified to: (log (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (log (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (log (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (exp (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (pow (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) 3) (pow (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) 3) (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (pow (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) 3) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (- (+ (* x x) (* (* y 4.0) y))) (- (* x x)) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) x) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) x) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) x) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) x) (/ 1 x) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ 1 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1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) x (/ x (+ (* x x) (* (* y 4.0) y))) 1 (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* 4.0 (pow y 2)) (* x x))) (* x x) (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))))) (/ 1 (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) x (/ x (+ (* x x) (* (* y 4.0) y))) 1 (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* 4.0 (pow y 2)) (* x x))) (* x x) (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))))) (/ 1 (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) x (/ x (+ (* x x) (* (* y 4.0) y))) 1 (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* 4.0 (pow y 2)) (* x x))) (* x x) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x))))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (* x x)))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) x 1 (/ 1 (+ (* 4.0 (pow y 2)) (* x x))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ 1 (+ (* 4.0 (pow y 2)) (* x x))) (+ 1 (* 4.0 (/ (pow y 2) (pow x 2)))) (+ 1 (* 4.0 (/ (pow y 2) (pow x 2)))) (+ 1 (* 4.0 (/ (pow y 2) (pow x 2)))) (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) (+ (* 0.25 (/ (pow x 2) (pow y 2))) 1.0) 0 0 0 0 0 0 10.340 * * * [progress]: adding candidates to table 10.792 * [progress]: [Phase 3 of 3] Extracting. 10.792 * * [regime]: Finding splitpoints for: (# # # # #) 10.795 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x) 10.795 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # # #) 10.835 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 10.874 * * * * [regimes]: Trying to branch on y from (# # # # #) 10.921 * * * * [regimes]: Trying to branch on x from (# # # # #) 10.993 * * * [regime]: Found split indices: #