10.953 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: Extracting # 5 : cost 0 0.029 * * [simplify]: iteration 0 : 9 enodes (cost 19 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.030 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: iteration 1 : 17 enodes (cost 19 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: iteration 2 : 35 enodes (cost 19 ) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 3 : 67 enodes (cost 19 ) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.054 * * [simplify]: Extracting # 1 : cost 0 0.054 * * [simplify]: Extracting # 2 : cost 0 0.055 * * [simplify]: iteration 4 : 111 enodes (cost 19 ) 0.084 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: Extracting # 1 : cost 0 0.084 * * [simplify]: Extracting # 2 : cost 0 0.085 * * [simplify]: iteration 5 : 158 enodes (cost 19 ) 0.122 * * [simplify]: Extracting # 0 : cost 0 0.122 * * [simplify]: Extracting # 1 : cost 0 0.123 * * [simplify]: Extracting # 2 : cost 0 0.123 * * [simplify]: iteration 6 : 173 enodes (cost 19 ) 0.161 * * [simplify]: Extracting # 0 : cost 0 0.161 * * [simplify]: iteration 7 : 174 enodes (cost 19 ) 0.201 * * [simplify]: Extracting # 0 : cost 0 0.201 * * [simplify]: iteration done: 174 enodes (cost 19 ) 0.201 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.201 * * [progress]: iteration 1 / 4 0.201 * * * [progress]: picking best candidate 0.203 * * * * [pick]: Picked # 0.203 * * * [progress]: localizing error 0.210 * * * [progress]: generating rewritten candidates 0.211 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.238 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.246 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.256 * * * [progress]: generating series expansions 0.256 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.256 * [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)))) 0.256 * [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 0.256 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.256 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [backup-simplify]: Simplify x into x 0.256 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of 4.0 in y 0.256 * [backup-simplify]: Simplify 4.0 into 4.0 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [backup-simplify]: Simplify x into x 0.256 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of 4.0 in y 0.256 * [backup-simplify]: Simplify 4.0 into 4.0 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.257 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.257 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.257 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.257 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.257 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.257 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.257 * [taylor]: Taking taylor expansion of 4.0 in x 0.257 * [backup-simplify]: Simplify 4.0 into 4.0 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [backup-simplify]: Simplify y into y 0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.257 * [taylor]: Taking taylor expansion of 4.0 in x 0.257 * [backup-simplify]: Simplify 4.0 into 4.0 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [backup-simplify]: Simplify y into y 0.257 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.257 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.257 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.258 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.258 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.258 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.258 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.258 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.258 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.258 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of 4.0 in x 0.258 * [backup-simplify]: Simplify 4.0 into 4.0 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of 4.0 in x 0.258 * [backup-simplify]: Simplify 4.0 into 4.0 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.258 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.259 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.259 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.259 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.259 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.259 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.259 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.259 * [taylor]: Taking taylor expansion of -1.0 in y 0.259 * [backup-simplify]: Simplify -1.0 into -1.0 0.259 * [backup-simplify]: Simplify -1.0 into -1.0 0.259 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.260 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.261 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [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))) 0.264 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.264 * [taylor]: Taking taylor expansion of 0.5 in y 0.264 * [backup-simplify]: Simplify 0.5 into 0.5 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [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 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify -1.0 into -1.0 0.272 * [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))))) 0.272 * [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 0.272 * [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 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [backup-simplify]: Simplify x into x 0.272 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.272 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.272 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.272 * [taylor]: Taking taylor expansion of 4.0 in y 0.272 * [backup-simplify]: Simplify 4.0 into 4.0 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [backup-simplify]: Simplify x into x 0.273 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.273 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.273 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.273 * [taylor]: Taking taylor expansion of 4.0 in y 0.273 * [backup-simplify]: Simplify 4.0 into 4.0 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.274 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.275 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.275 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.275 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.276 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.276 * [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 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.276 * [taylor]: Taking taylor expansion of 4.0 in x 0.276 * [backup-simplify]: Simplify 4.0 into 4.0 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [backup-simplify]: Simplify y into y 0.276 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.277 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of 4.0 in x 0.277 * [backup-simplify]: Simplify 4.0 into 4.0 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [backup-simplify]: Simplify y into y 0.277 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.277 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [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 0.278 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.279 * [taylor]: Taking taylor expansion of 4.0 in x 0.279 * [backup-simplify]: Simplify 4.0 into 4.0 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [backup-simplify]: Simplify y into y 0.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.279 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.280 * [taylor]: Taking taylor expansion of 4.0 in x 0.280 * [backup-simplify]: Simplify 4.0 into 4.0 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [backup-simplify]: Simplify y into y 0.280 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.280 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.284 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.284 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.286 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.286 * [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)))) 0.286 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.286 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.286 * [taylor]: Taking taylor expansion of 8.0 in y 0.286 * [backup-simplify]: Simplify 8.0 into 8.0 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [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 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [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))))) 0.295 * [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 0.295 * [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 0.295 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [backup-simplify]: Simplify x into x 0.295 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.295 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.295 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.295 * [taylor]: Taking taylor expansion of 4.0 in y 0.295 * [backup-simplify]: Simplify 4.0 into 4.0 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [backup-simplify]: Simplify x into x 0.296 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.296 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.296 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.296 * [taylor]: Taking taylor expansion of 4.0 in y 0.296 * [backup-simplify]: Simplify 4.0 into 4.0 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.297 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.298 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.298 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.298 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.299 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.299 * [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 0.299 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.299 * [taylor]: Taking taylor expansion of 4.0 in x 0.299 * [backup-simplify]: Simplify 4.0 into 4.0 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [backup-simplify]: Simplify y into y 0.299 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.299 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.300 * [taylor]: Taking taylor expansion of 4.0 in x 0.300 * [backup-simplify]: Simplify 4.0 into 4.0 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [backup-simplify]: Simplify y into y 0.300 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.300 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [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 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.302 * [taylor]: Taking taylor expansion of 4.0 in x 0.302 * [backup-simplify]: Simplify 4.0 into 4.0 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.302 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.303 * [taylor]: Taking taylor expansion of 4.0 in x 0.303 * [backup-simplify]: Simplify 4.0 into 4.0 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [backup-simplify]: Simplify y into y 0.303 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.303 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of 1 in y 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.310 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.311 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.312 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.313 * [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)))) 0.313 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.313 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.313 * [taylor]: Taking taylor expansion of 8.0 in y 0.313 * [backup-simplify]: Simplify 8.0 into 8.0 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [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 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.322 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.322 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.322 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [backup-simplify]: Simplify x into x 0.322 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.322 * [taylor]: Taking taylor expansion of 4.0 in y 0.322 * [backup-simplify]: Simplify 4.0 into 4.0 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.322 * [taylor]: Taking taylor expansion of 4.0 in x 0.322 * [backup-simplify]: Simplify 4.0 into 4.0 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [backup-simplify]: Simplify y into y 0.322 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.322 * [taylor]: Taking taylor expansion of 4.0 in x 0.322 * [backup-simplify]: Simplify 4.0 into 4.0 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [backup-simplify]: Simplify y into y 0.322 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.322 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.322 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.323 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.323 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.323 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of 4.0 in y 0.323 * [backup-simplify]: Simplify 4.0 into 4.0 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.323 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.324 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.325 * [backup-simplify]: Simplify (- 0) into 0 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.326 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.326 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.331 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.333 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.333 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [backup-simplify]: Simplify x into x 0.333 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.333 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.333 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.333 * [taylor]: Taking taylor expansion of 4.0 in y 0.333 * [backup-simplify]: Simplify 4.0 into 4.0 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.334 * [taylor]: Taking taylor expansion of 4.0 in x 0.334 * [backup-simplify]: Simplify 4.0 into 4.0 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [backup-simplify]: Simplify y into y 0.334 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.334 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.335 * [taylor]: Taking taylor expansion of 4.0 in x 0.335 * [backup-simplify]: Simplify 4.0 into 4.0 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.335 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.336 * [backup-simplify]: Simplify (+ 1 0) into 1 0.336 * [taylor]: Taking taylor expansion of 1 in y 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.338 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.338 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.338 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.338 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (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 (/ 1 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.339 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.339 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [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))) 0.348 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.348 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [backup-simplify]: Simplify x into x 0.348 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.348 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.348 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of 4.0 in y 0.349 * [backup-simplify]: Simplify 4.0 into 4.0 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.350 * [taylor]: Taking taylor expansion of 4.0 in x 0.350 * [backup-simplify]: Simplify 4.0 into 4.0 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [backup-simplify]: Simplify y into y 0.350 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.350 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.350 * [taylor]: Taking taylor expansion of 4.0 in x 0.351 * [backup-simplify]: Simplify 4.0 into 4.0 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [backup-simplify]: Simplify y into y 0.351 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.351 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.353 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.353 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.353 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.353 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.353 * [taylor]: Taking taylor expansion of 4.0 in y 0.354 * [backup-simplify]: Simplify 4.0 into 4.0 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.355 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.355 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [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))) 0.364 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.364 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.364 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [backup-simplify]: Simplify x into x 0.364 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of 4.0 in y 0.364 * [backup-simplify]: Simplify 4.0 into 4.0 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of 4.0 in x 0.364 * [backup-simplify]: Simplify 4.0 into 4.0 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [backup-simplify]: Simplify y into y 0.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of 4.0 in x 0.364 * [backup-simplify]: Simplify 4.0 into 4.0 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [backup-simplify]: Simplify y into y 0.364 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.364 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.365 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.365 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.365 * [taylor]: Taking taylor expansion of 4.0 in y 0.365 * [backup-simplify]: Simplify 4.0 into 4.0 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.365 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.367 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [taylor]: Taking taylor expansion of 1 in y 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.367 * [backup-simplify]: Simplify 4.0 into 4.0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.368 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.370 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.371 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.373 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.373 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [backup-simplify]: Simplify x into x 0.373 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.373 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.373 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.373 * [taylor]: Taking taylor expansion of 4.0 in y 0.373 * [backup-simplify]: Simplify 4.0 into 4.0 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of 4.0 in x 0.374 * [backup-simplify]: Simplify 4.0 into 4.0 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.375 * [backup-simplify]: Simplify y into y 0.375 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (* 1 1) into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.375 * [taylor]: Taking taylor expansion of 4.0 in x 0.375 * [backup-simplify]: Simplify 4.0 into 4.0 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [backup-simplify]: Simplify y into y 0.375 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.376 * [backup-simplify]: Simplify (+ 1 0) into 1 0.376 * [taylor]: Taking taylor expansion of 1 in y 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.378 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.378 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of 4.0 in y 0.378 * [backup-simplify]: Simplify 4.0 into 4.0 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.379 * [backup-simplify]: Simplify 4.0 into 4.0 0.379 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [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))) 0.387 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.387 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [backup-simplify]: Simplify x into x 0.387 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.387 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.387 * [taylor]: Taking taylor expansion of 4.0 in y 0.387 * [backup-simplify]: Simplify 4.0 into 4.0 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.388 * [taylor]: Taking taylor expansion of 4.0 in x 0.388 * [backup-simplify]: Simplify 4.0 into 4.0 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [backup-simplify]: Simplify y into y 0.388 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.388 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.389 * [taylor]: Taking taylor expansion of 4.0 in x 0.389 * [backup-simplify]: Simplify 4.0 into 4.0 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [backup-simplify]: Simplify y into y 0.389 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.389 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.390 * [taylor]: Taking taylor expansion of 1 in y 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.392 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.392 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.392 * [taylor]: Taking taylor expansion of 4.0 in y 0.392 * [backup-simplify]: Simplify 4.0 into 4.0 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.393 * [backup-simplify]: Simplify 4.0 into 4.0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [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))) 0.401 * * * [progress]: simplifying candidates 0.402 * [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))) 0.403 * * [simplify]: Extracting # 0 : cost 0 0.403 * * [simplify]: Extracting # 1 : cost 0 0.403 * * [simplify]: Extracting # 2 : cost 0 0.404 * * [simplify]: Extracting # 3 : cost 0 0.404 * * [simplify]: Extracting # 4 : cost 0 0.404 * * [simplify]: Extracting # 5 : cost 0 0.404 * * [simplify]: Extracting # 6 : cost 0 0.404 * * [simplify]: Extracting # 7 : cost 0 0.408 * * [simplify]: iteration 0 : 87 enodes (cost 1404 ) 0.426 * * [simplify]: Extracting # 0 : cost 0 0.426 * * [simplify]: Extracting # 1 : cost 0 0.427 * * [simplify]: Extracting # 2 : cost 0 0.427 * * [simplify]: Extracting # 3 : cost 0 0.427 * * [simplify]: Extracting # 4 : cost 0 0.427 * * [simplify]: iteration 1 : 233 enodes (cost 1375 ) 0.505 * * [simplify]: Extracting # 0 : cost 0 0.506 * * [simplify]: Extracting # 1 : cost 0 0.506 * * [simplify]: Extracting # 2 : cost 0 0.507 * * [simplify]: Extracting # 3 : cost 0 0.508 * * [simplify]: Extracting # 4 : cost 0 0.508 * * [simplify]: iteration 2 : 769 enodes (cost 1233 ) 0.880 * * [simplify]: Extracting # 0 : cost 0 0.883 * * [simplify]: Extracting # 1 : cost 0 0.886 * * [simplify]: Extracting # 2 : cost 0 0.895 * * [simplify]: Extracting # 3 : cost 0 0.898 * * [simplify]: Extracting # 4 : cost 0 0.901 * * [simplify]: iteration 3 : 2891 enodes (cost 1226 ) 2.309 * * [simplify]: Extracting # 0 : cost 0 2.321 * * [simplify]: Extracting # 1 : cost 0 2.326 * * [simplify]: Extracting # 2 : cost 0 2.331 * * [simplify]: Extracting # 3 : cost 0 2.336 * * [simplify]: Extracting # 4 : cost 0 2.341 * * [simplify]: iteration done: 5001 enodes (cost 1210 ) 2.342 * [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)) 2.342 * * * [progress]: adding candidates to table 2.489 * * [progress]: iteration 2 / 4 2.489 * * * [progress]: picking best candidate 2.492 * * * * [pick]: Picked # 2.492 * * * [progress]: localizing error 2.501 * * * [progress]: generating rewritten candidates 2.501 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.530 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.547 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.620 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.630 * * * [progress]: generating series expansions 2.630 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.631 * [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))))) 2.631 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 2.631 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 2.631 * [taylor]: Taking taylor expansion of 4.0 in x 2.631 * [backup-simplify]: Simplify 4.0 into 4.0 2.631 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 2.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.631 * [taylor]: Taking taylor expansion of y in x 2.631 * [backup-simplify]: Simplify y into y 2.631 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 2.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.631 * [taylor]: Taking taylor expansion of x in x 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify 1 into 1 2.631 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.631 * [taylor]: Taking taylor expansion of 4.0 in x 2.631 * [backup-simplify]: Simplify 4.0 into 4.0 2.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.631 * [taylor]: Taking taylor expansion of y in x 2.631 * [backup-simplify]: Simplify y into y 2.631 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.631 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.631 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.631 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 2.631 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 2.631 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 2.632 * [taylor]: Taking taylor expansion of 4.0 in y 2.632 * [backup-simplify]: Simplify 4.0 into 4.0 2.632 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 2.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.632 * [taylor]: Taking taylor expansion of y in y 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 1 into 1 2.632 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 2.632 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.632 * [taylor]: Taking taylor expansion of x in y 2.632 * [backup-simplify]: Simplify x into x 2.632 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.632 * [taylor]: Taking taylor expansion of 4.0 in y 2.632 * [backup-simplify]: Simplify 4.0 into 4.0 2.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.632 * [taylor]: Taking taylor expansion of y in y 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 1 into 1 2.632 * [backup-simplify]: Simplify (* 1 1) into 1 2.632 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.632 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.633 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.633 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 2.633 * [taylor]: Taking taylor expansion of 4.0 in y 2.633 * [backup-simplify]: Simplify 4.0 into 4.0 2.633 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 2.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.633 * [taylor]: Taking taylor expansion of y in y 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 1 into 1 2.633 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 2.633 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.633 * [taylor]: Taking taylor expansion of x in y 2.633 * [backup-simplify]: Simplify x into x 2.633 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.633 * [taylor]: Taking taylor expansion of 4.0 in y 2.633 * [backup-simplify]: Simplify 4.0 into 4.0 2.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.633 * [taylor]: Taking taylor expansion of y in y 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 1 into 1 2.633 * [backup-simplify]: Simplify (* 1 1) into 1 2.633 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.633 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.633 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.633 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 2.633 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 2.634 * [taylor]: Taking taylor expansion of 4.0 in x 2.634 * [backup-simplify]: Simplify 4.0 into 4.0 2.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.634 * [taylor]: Taking taylor expansion of x in x 2.634 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify 1 into 1 2.634 * [backup-simplify]: Simplify (* 1 1) into 1 2.634 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.636 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.637 * [backup-simplify]: Simplify (+ 0 0) into 0 2.637 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.638 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 2.638 * [taylor]: Taking taylor expansion of 0 in x 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.640 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.640 * [backup-simplify]: Simplify (* 1 1) into 1 2.640 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.640 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.641 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 4.0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 4.0 (/ 1 (pow x 4)))) 2.641 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 4.0 (/ 1 (pow x 4))))) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into (- (* 16.0 (/ 1 (pow x 4)))) 2.641 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 2.641 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 2.641 * [taylor]: Taking taylor expansion of 16.0 in x 2.641 * [backup-simplify]: Simplify 16.0 into 16.0 2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.641 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify 1 into 1 2.641 * [backup-simplify]: Simplify (* 1 1) into 1 2.642 * [backup-simplify]: Simplify (* 1 1) into 1 2.642 * [backup-simplify]: Simplify (/ 1 1) into 1 2.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.652 * [backup-simplify]: Simplify (- 0) into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [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))) 2.653 * [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 2.653 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 2.653 * [taylor]: Taking taylor expansion of 4.0 in x 2.653 * [backup-simplify]: Simplify 4.0 into 4.0 2.653 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 2.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.654 * [taylor]: Taking taylor expansion of x in x 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.654 * [backup-simplify]: Simplify (* 1 1) into 1 2.654 * [backup-simplify]: Simplify (/ 1 1) into 1 2.654 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.654 * [taylor]: Taking taylor expansion of 4.0 in x 2.654 * [backup-simplify]: Simplify 4.0 into 4.0 2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.654 * [taylor]: Taking taylor expansion of y in x 2.654 * [backup-simplify]: Simplify y into y 2.654 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.654 * [taylor]: Taking taylor expansion of y in x 2.654 * [backup-simplify]: Simplify y into y 2.655 * [backup-simplify]: Simplify (+ 1 0) into 1 2.655 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.655 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.655 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 2.655 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 2.655 * [taylor]: Taking taylor expansion of 4.0 in y 2.655 * [backup-simplify]: Simplify 4.0 into 4.0 2.655 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 2.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.655 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.655 * [taylor]: Taking taylor expansion of x in y 2.655 * [backup-simplify]: Simplify x into x 2.655 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.655 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.655 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.655 * [taylor]: Taking taylor expansion of 4.0 in y 2.655 * [backup-simplify]: Simplify 4.0 into 4.0 2.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.655 * [taylor]: Taking taylor expansion of y in y 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (* 1 1) into 1 2.656 * [backup-simplify]: Simplify (/ 1 1) into 1 2.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.656 * [taylor]: Taking taylor expansion of y in y 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.656 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.657 * [backup-simplify]: Simplify (* 1 1) into 1 2.657 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.657 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.657 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 2.657 * [taylor]: Taking taylor expansion of 4.0 in y 2.657 * [backup-simplify]: Simplify 4.0 into 4.0 2.657 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 2.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.657 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.657 * [taylor]: Taking taylor expansion of x in y 2.657 * [backup-simplify]: Simplify x into x 2.657 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.657 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.657 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.658 * [taylor]: Taking taylor expansion of 4.0 in y 2.658 * [backup-simplify]: Simplify 4.0 into 4.0 2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.658 * [taylor]: Taking taylor expansion of y in y 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (* 1 1) into 1 2.658 * [backup-simplify]: Simplify (/ 1 1) into 1 2.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.658 * [taylor]: Taking taylor expansion of y in y 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.659 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.659 * [backup-simplify]: Simplify (* 1 1) into 1 2.659 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.659 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.659 * [taylor]: Taking taylor expansion of 1.0 in x 2.660 * [backup-simplify]: Simplify 1.0 into 1.0 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.662 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.662 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 2.662 * [taylor]: Taking taylor expansion of 0 in x 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.664 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.664 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.665 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 2.666 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 2.666 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 2.666 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.666 * [taylor]: Taking taylor expansion of 0.25 in x 2.666 * [backup-simplify]: Simplify 0.25 into 0.25 2.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.666 * [taylor]: Taking taylor expansion of x in x 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify (* 1 1) into 1 2.667 * [backup-simplify]: Simplify (/ 1 1) into 1 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.672 * [backup-simplify]: Simplify (- 0) into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [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))) 2.672 * [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 2.672 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 2.672 * [taylor]: Taking taylor expansion of 4.0 in x 2.672 * [backup-simplify]: Simplify 4.0 into 4.0 2.672 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 2.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.673 * [taylor]: Taking taylor expansion of x in x 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify 1 into 1 2.673 * [backup-simplify]: Simplify (* 1 1) into 1 2.673 * [backup-simplify]: Simplify (/ 1 1) into 1 2.673 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.673 * [taylor]: Taking taylor expansion of 4.0 in x 2.673 * [backup-simplify]: Simplify 4.0 into 4.0 2.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.673 * [taylor]: Taking taylor expansion of y in x 2.673 * [backup-simplify]: Simplify y into y 2.673 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.674 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.674 * [taylor]: Taking taylor expansion of y in x 2.674 * [backup-simplify]: Simplify y into y 2.674 * [backup-simplify]: Simplify (+ 1 0) into 1 2.674 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.674 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.674 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 2.674 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 2.674 * [taylor]: Taking taylor expansion of 4.0 in y 2.674 * [backup-simplify]: Simplify 4.0 into 4.0 2.674 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 2.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.674 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.674 * [taylor]: Taking taylor expansion of x in y 2.674 * [backup-simplify]: Simplify x into x 2.674 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.674 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.674 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.674 * [taylor]: Taking taylor expansion of 4.0 in y 2.674 * [backup-simplify]: Simplify 4.0 into 4.0 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.674 * [taylor]: Taking taylor expansion of y in y 2.674 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.675 * [backup-simplify]: Simplify (* 1 1) into 1 2.675 * [backup-simplify]: Simplify (/ 1 1) into 1 2.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.675 * [taylor]: Taking taylor expansion of y in y 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.675 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.676 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.676 * [backup-simplify]: Simplify (* 1 1) into 1 2.676 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.676 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.676 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 2.676 * [taylor]: Taking taylor expansion of 4.0 in y 2.676 * [backup-simplify]: Simplify 4.0 into 4.0 2.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 2.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.676 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.676 * [taylor]: Taking taylor expansion of x in y 2.677 * [backup-simplify]: Simplify x into x 2.677 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.677 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.677 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.677 * [taylor]: Taking taylor expansion of 4.0 in y 2.677 * [backup-simplify]: Simplify 4.0 into 4.0 2.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.677 * [taylor]: Taking taylor expansion of y in y 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify 1 into 1 2.677 * [backup-simplify]: Simplify (* 1 1) into 1 2.677 * [backup-simplify]: Simplify (/ 1 1) into 1 2.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.677 * [taylor]: Taking taylor expansion of y in y 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify 1 into 1 2.678 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.678 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.678 * [backup-simplify]: Simplify (* 1 1) into 1 2.678 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.679 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.679 * [backup-simplify]: Simplify 1.0 into 1.0 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.680 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.680 * [backup-simplify]: Simplify (+ 0 0) into 0 2.681 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.681 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 2.681 * [taylor]: Taking taylor expansion of 0 in x 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.684 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.684 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 2.685 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 2.685 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 2.685 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.685 * [taylor]: Taking taylor expansion of 0.25 in x 2.685 * [backup-simplify]: Simplify 0.25 into 0.25 2.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 1 into 1 2.685 * [backup-simplify]: Simplify (* 1 1) into 1 2.686 * [backup-simplify]: Simplify (/ 1 1) into 1 2.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.691 * [backup-simplify]: Simplify (- 0) into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.691 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) 2.691 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 2.691 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 2.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.691 * [taylor]: Taking taylor expansion of x in y 2.691 * [backup-simplify]: Simplify x into x 2.691 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 2.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.691 * [taylor]: Taking taylor expansion of x in y 2.691 * [backup-simplify]: Simplify x into x 2.691 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.691 * [taylor]: Taking taylor expansion of 4.0 in y 2.691 * [backup-simplify]: Simplify 4.0 into 4.0 2.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.691 * [taylor]: Taking taylor expansion of y in y 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.691 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.692 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.692 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.692 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 2.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 2.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.692 * [taylor]: Taking taylor expansion of 4.0 in x 2.692 * [backup-simplify]: Simplify 4.0 into 4.0 2.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.692 * [taylor]: Taking taylor expansion of y in x 2.692 * [backup-simplify]: Simplify y into y 2.692 * [backup-simplify]: Simplify (* 1 1) into 1 2.692 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.692 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.693 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 2.693 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 2.693 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 2.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 2.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.693 * [taylor]: Taking taylor expansion of 4.0 in x 2.693 * [backup-simplify]: Simplify 4.0 into 4.0 2.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.693 * [taylor]: Taking taylor expansion of y in x 2.693 * [backup-simplify]: Simplify y into y 2.693 * [backup-simplify]: Simplify (* 1 1) into 1 2.693 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.693 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.693 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 2.693 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 2.694 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 2.694 * [taylor]: Taking taylor expansion of 0.25 in y 2.694 * [backup-simplify]: Simplify 0.25 into 0.25 2.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.694 * [taylor]: Taking taylor expansion of y in y 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.694 * [backup-simplify]: Simplify (* 1 1) into 1 2.694 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 2.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.697 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.697 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.697 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 2.697 * [taylor]: Taking taylor expansion of 0 in y 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.699 * [backup-simplify]: Simplify (* 1 1) into 1 2.700 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.700 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.700 * [backup-simplify]: Simplify (+ 1 0) into 1 2.701 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 2.701 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 2.701 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 2.701 * [taylor]: Taking taylor expansion of 0.0625 in y 2.701 * [backup-simplify]: Simplify 0.0625 into 0.0625 2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.701 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.701 * [taylor]: Taking taylor expansion of y in y 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 1 into 1 2.701 * [backup-simplify]: Simplify (* 1 1) into 1 2.701 * [backup-simplify]: Simplify (* 1 1) into 1 2.702 * [backup-simplify]: Simplify (/ 1 1) into 1 2.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.708 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.709 * [backup-simplify]: Simplify (- 0) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [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)))))) 2.710 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 2.710 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 2.710 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 2.710 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.710 * [taylor]: Taking taylor expansion of x in y 2.710 * [backup-simplify]: Simplify x into x 2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.711 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.711 * [taylor]: Taking taylor expansion of x in y 2.711 * [backup-simplify]: Simplify x into x 2.711 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.711 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.711 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.711 * [taylor]: Taking taylor expansion of 4.0 in y 2.711 * [backup-simplify]: Simplify 4.0 into 4.0 2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.711 * [taylor]: Taking taylor expansion of y in y 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (* 1 1) into 1 2.711 * [backup-simplify]: Simplify (/ 1 1) into 1 2.711 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.712 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.712 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.712 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 2.712 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 2.712 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 2.712 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 2.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (* 1 1) into 1 2.713 * [backup-simplify]: Simplify (/ 1 1) into 1 2.713 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.713 * [taylor]: Taking taylor expansion of 4.0 in x 2.713 * [backup-simplify]: Simplify 4.0 into 4.0 2.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.713 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.713 * [taylor]: Taking taylor expansion of y in x 2.713 * [backup-simplify]: Simplify y into y 2.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.713 * [backup-simplify]: Simplify (* 1 1) into 1 2.714 * [backup-simplify]: Simplify (+ 1 0) into 1 2.714 * [backup-simplify]: Simplify (* 1 1) into 1 2.714 * [backup-simplify]: Simplify (/ 1 1) into 1 2.714 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 2.714 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 2.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.714 * [taylor]: Taking taylor expansion of x in x 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.714 * [taylor]: Taking taylor expansion of x in x 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (* 1 1) into 1 2.715 * [backup-simplify]: Simplify (/ 1 1) into 1 2.715 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.715 * [taylor]: Taking taylor expansion of 4.0 in x 2.715 * [backup-simplify]: Simplify 4.0 into 4.0 2.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.715 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.715 * [taylor]: Taking taylor expansion of y in x 2.715 * [backup-simplify]: Simplify y into y 2.715 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.715 * [backup-simplify]: Simplify (* 1 1) into 1 2.716 * [backup-simplify]: Simplify (+ 1 0) into 1 2.716 * [backup-simplify]: Simplify (* 1 1) into 1 2.716 * [backup-simplify]: Simplify (/ 1 1) into 1 2.716 * [taylor]: Taking taylor expansion of 1 in y 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.718 * [taylor]: Taking taylor expansion of 0 in y 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.720 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.720 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.721 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.721 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 2.721 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.721 * [taylor]: Taking taylor expansion of 4.0 in y 2.721 * [backup-simplify]: Simplify 4.0 into 4.0 2.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.721 * [taylor]: Taking taylor expansion of y in y 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify (* 1 1) into 1 2.722 * [backup-simplify]: Simplify (/ 1 1) into 1 2.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.727 * [backup-simplify]: Simplify (- 0) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [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)))))) 2.727 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 2.727 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 2.727 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 2.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.727 * [taylor]: Taking taylor expansion of x in y 2.727 * [backup-simplify]: Simplify x into x 2.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.727 * [taylor]: Taking taylor expansion of x in y 2.727 * [backup-simplify]: Simplify x into x 2.727 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.728 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.728 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.728 * [taylor]: Taking taylor expansion of 4.0 in y 2.728 * [backup-simplify]: Simplify 4.0 into 4.0 2.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.728 * [taylor]: Taking taylor expansion of y in y 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [backup-simplify]: Simplify (* 1 1) into 1 2.728 * [backup-simplify]: Simplify (/ 1 1) into 1 2.728 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.728 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.729 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.729 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 2.729 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 2.729 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 2.729 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 2.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.729 * [taylor]: Taking taylor expansion of x in x 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.729 * [taylor]: Taking taylor expansion of x in x 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (* 1 1) into 1 2.730 * [backup-simplify]: Simplify (/ 1 1) into 1 2.730 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.730 * [taylor]: Taking taylor expansion of 4.0 in x 2.730 * [backup-simplify]: Simplify 4.0 into 4.0 2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.730 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.730 * [taylor]: Taking taylor expansion of y in x 2.730 * [backup-simplify]: Simplify y into y 2.730 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.730 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.730 * [backup-simplify]: Simplify (* 1 1) into 1 2.730 * [backup-simplify]: Simplify (+ 1 0) into 1 2.731 * [backup-simplify]: Simplify (* 1 1) into 1 2.731 * [backup-simplify]: Simplify (/ 1 1) into 1 2.731 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 2.731 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 2.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.731 * [taylor]: Taking taylor expansion of x in x 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.731 * [taylor]: Taking taylor expansion of x in x 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [backup-simplify]: Simplify (* 1 1) into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.732 * [taylor]: Taking taylor expansion of 4.0 in x 2.732 * [backup-simplify]: Simplify 4.0 into 4.0 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.732 * [taylor]: Taking taylor expansion of y in x 2.732 * [backup-simplify]: Simplify y into y 2.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.732 * [backup-simplify]: Simplify (* 1 1) into 1 2.732 * [backup-simplify]: Simplify (+ 1 0) into 1 2.733 * [backup-simplify]: Simplify (* 1 1) into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [taylor]: Taking taylor expansion of 1 in y 2.733 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.735 * [taylor]: Taking taylor expansion of 0 in y 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.737 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.738 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.738 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 2.738 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.738 * [taylor]: Taking taylor expansion of 4.0 in y 2.738 * [backup-simplify]: Simplify 4.0 into 4.0 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.738 * [taylor]: Taking taylor expansion of y in y 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (* 1 1) into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.749 * [backup-simplify]: Simplify (- 0) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.750 * [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)))))) 2.750 * [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 2.750 * [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 2.750 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 2.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.750 * [taylor]: Taking taylor expansion of x in y 2.750 * [backup-simplify]: Simplify x into x 2.750 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 2.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.750 * [taylor]: Taking taylor expansion of x in y 2.750 * [backup-simplify]: Simplify x into x 2.750 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.750 * [taylor]: Taking taylor expansion of 4.0 in y 2.750 * [backup-simplify]: Simplify 4.0 into 4.0 2.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.750 * [taylor]: Taking taylor expansion of y in y 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.750 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.750 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.750 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.750 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 2.750 * [taylor]: Taking taylor expansion of 4.0 in y 2.750 * [backup-simplify]: Simplify 4.0 into 4.0 2.750 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 2.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.750 * [taylor]: Taking taylor expansion of y in y 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 2.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.750 * [taylor]: Taking taylor expansion of x in y 2.750 * [backup-simplify]: Simplify x into x 2.750 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.750 * [taylor]: Taking taylor expansion of 4.0 in y 2.750 * [backup-simplify]: Simplify 4.0 into 4.0 2.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.750 * [taylor]: Taking taylor expansion of y in y 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (* 1 1) into 1 2.751 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.751 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.751 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.751 * [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 2.751 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 2.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 2.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.751 * [taylor]: Taking taylor expansion of 4.0 in x 2.751 * [backup-simplify]: Simplify 4.0 into 4.0 2.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.751 * [taylor]: Taking taylor expansion of y in x 2.751 * [backup-simplify]: Simplify y into y 2.752 * [backup-simplify]: Simplify (* 1 1) into 1 2.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.752 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.752 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 2.752 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 2.752 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 2.752 * [taylor]: Taking taylor expansion of 4.0 in x 2.752 * [backup-simplify]: Simplify 4.0 into 4.0 2.752 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 2.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.752 * [taylor]: Taking taylor expansion of y in x 2.752 * [backup-simplify]: Simplify y into y 2.752 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 2.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.752 * [taylor]: Taking taylor expansion of x in x 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.752 * [taylor]: Taking taylor expansion of 4.0 in x 2.752 * [backup-simplify]: Simplify 4.0 into 4.0 2.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.752 * [taylor]: Taking taylor expansion of y in x 2.752 * [backup-simplify]: Simplify y into y 2.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.752 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.752 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 2.753 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 2.753 * [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 2.753 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 2.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 2.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.753 * [taylor]: Taking taylor expansion of 4.0 in x 2.753 * [backup-simplify]: Simplify 4.0 into 4.0 2.753 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.753 * [taylor]: Taking taylor expansion of y in x 2.753 * [backup-simplify]: Simplify y into y 2.753 * [backup-simplify]: Simplify (* 1 1) into 1 2.753 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.753 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.753 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 2.753 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 2.754 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 2.754 * [taylor]: Taking taylor expansion of 4.0 in x 2.754 * [backup-simplify]: Simplify 4.0 into 4.0 2.754 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 2.754 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.754 * [taylor]: Taking taylor expansion of y in x 2.754 * [backup-simplify]: Simplify y into y 2.754 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 2.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.754 * [taylor]: Taking taylor expansion of x in x 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.754 * [taylor]: Taking taylor expansion of 4.0 in x 2.754 * [backup-simplify]: Simplify 4.0 into 4.0 2.754 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.754 * [taylor]: Taking taylor expansion of y in x 2.754 * [backup-simplify]: Simplify y into y 2.754 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.754 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.754 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.754 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 2.754 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 2.755 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0 2.755 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.755 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.755 * [taylor]: Taking taylor expansion of (- 1.0) in y 2.755 * [taylor]: Taking taylor expansion of 1.0 in y 2.755 * [backup-simplify]: Simplify 1.0 into 1.0 2.756 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.756 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.756 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.756 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.756 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0 2.757 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0 2.757 * [backup-simplify]: Simplify (- 0) into 0 2.758 * [backup-simplify]: Simplify (+ 0 0) into 0 2.758 * [taylor]: Taking taylor expansion of 0 in y 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (- 0) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.759 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.759 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.759 * [backup-simplify]: Simplify (+ 1 0) into 1 2.760 * [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)))) 2.760 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2)))) 2.760 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow y 2))))) into (* 0.25 (/ 1 (pow y 2))) 2.761 * [backup-simplify]: Simplify (+ (/ 0.25 (pow y 2)) (* 0.25 (/ 1 (pow y 2)))) into (* 0.5 (/ 1 (pow y 2))) 2.761 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 2.761 * [taylor]: Taking taylor expansion of 0.5 in y 2.761 * [backup-simplify]: Simplify 0.5 into 0.5 2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.761 * [taylor]: Taking taylor expansion of y in y 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (* 1 1) into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (- 0) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.764 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.765 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 2.766 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.766 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.767 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.767 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [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 2.769 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25)))) into 0 2.769 * [backup-simplify]: Simplify (- 0) into 0 2.769 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [taylor]: Taking taylor expansion of 0 in y 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.770 * [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))))) 2.770 * [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 2.770 * [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 2.770 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 2.770 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 2.770 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.770 * [taylor]: Taking taylor expansion of x in y 2.770 * [backup-simplify]: Simplify x into x 2.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.770 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.770 * [taylor]: Taking taylor expansion of x in y 2.770 * [backup-simplify]: Simplify x into x 2.770 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.770 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.770 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.770 * [taylor]: Taking taylor expansion of 4.0 in y 2.770 * [backup-simplify]: Simplify 4.0 into 4.0 2.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.770 * [taylor]: Taking taylor expansion of y in y 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.771 * [backup-simplify]: Simplify (* 1 1) into 1 2.771 * [backup-simplify]: Simplify (/ 1 1) into 1 2.771 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.771 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.772 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.772 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 2.772 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 2.772 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 2.772 * [taylor]: Taking taylor expansion of 4.0 in y 2.772 * [backup-simplify]: Simplify 4.0 into 4.0 2.772 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 2.772 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 2.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.772 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.772 * [taylor]: Taking taylor expansion of x in y 2.772 * [backup-simplify]: Simplify x into x 2.772 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.772 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.772 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.772 * [taylor]: Taking taylor expansion of 4.0 in y 2.772 * [backup-simplify]: Simplify 4.0 into 4.0 2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.772 * [taylor]: Taking taylor expansion of y in y 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.773 * [backup-simplify]: Simplify (* 1 1) into 1 2.773 * [backup-simplify]: Simplify (/ 1 1) into 1 2.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.773 * [taylor]: Taking taylor expansion of y in y 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 1 into 1 2.773 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.773 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.774 * [backup-simplify]: Simplify (* 1 1) into 1 2.774 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.774 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 2.774 * [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 2.774 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 2.774 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 2.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.774 * [taylor]: Taking taylor expansion of x in x 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.774 * [taylor]: Taking taylor expansion of x in x 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.775 * [backup-simplify]: Simplify (/ 1 1) into 1 2.775 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.775 * [taylor]: Taking taylor expansion of 4.0 in x 2.775 * [backup-simplify]: Simplify 4.0 into 4.0 2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.775 * [taylor]: Taking taylor expansion of y in x 2.775 * [backup-simplify]: Simplify y into y 2.775 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.775 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.776 * [backup-simplify]: Simplify (+ 1 0) into 1 2.776 * [backup-simplify]: Simplify (* 1 1) into 1 2.776 * [backup-simplify]: Simplify (/ 1 1) into 1 2.776 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 2.776 * [taylor]: Taking taylor expansion of 4.0 in x 2.776 * [backup-simplify]: Simplify 4.0 into 4.0 2.776 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 2.776 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 2.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.776 * [taylor]: Taking taylor expansion of x in x 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (* 1 1) into 1 2.777 * [backup-simplify]: Simplify (/ 1 1) into 1 2.777 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.777 * [taylor]: Taking taylor expansion of 4.0 in x 2.777 * [backup-simplify]: Simplify 4.0 into 4.0 2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.777 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.777 * [taylor]: Taking taylor expansion of y in x 2.777 * [backup-simplify]: Simplify y into y 2.777 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.777 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.777 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.777 * [taylor]: Taking taylor expansion of y in x 2.777 * [backup-simplify]: Simplify y into y 2.777 * [backup-simplify]: Simplify (+ 1 0) into 1 2.777 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.778 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.778 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.778 * [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 2.778 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 2.778 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 2.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (* 1 1) into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.778 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.778 * [taylor]: Taking taylor expansion of 4.0 in x 2.778 * [backup-simplify]: Simplify 4.0 into 4.0 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.778 * [taylor]: Taking taylor expansion of y in x 2.779 * [backup-simplify]: Simplify y into y 2.779 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.779 * [backup-simplify]: Simplify (* 1 1) into 1 2.779 * [backup-simplify]: Simplify (+ 1 0) into 1 2.779 * [backup-simplify]: Simplify (* 1 1) into 1 2.780 * [backup-simplify]: Simplify (/ 1 1) into 1 2.780 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 2.780 * [taylor]: Taking taylor expansion of 4.0 in x 2.780 * [backup-simplify]: Simplify 4.0 into 4.0 2.780 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 2.780 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 2.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 1 into 1 2.780 * [backup-simplify]: Simplify (* 1 1) into 1 2.780 * [backup-simplify]: Simplify (/ 1 1) into 1 2.780 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.780 * [taylor]: Taking taylor expansion of 4.0 in x 2.780 * [backup-simplify]: Simplify 4.0 into 4.0 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.780 * [taylor]: Taking taylor expansion of y in x 2.780 * [backup-simplify]: Simplify y into y 2.780 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.780 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.781 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.781 * [taylor]: Taking taylor expansion of y in x 2.781 * [backup-simplify]: Simplify y into y 2.781 * [backup-simplify]: Simplify (+ 1 0) into 1 2.781 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.781 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.781 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.781 * [backup-simplify]: Simplify (+ 1 0) into 1 2.781 * [taylor]: Taking taylor expansion of 1 in y 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (+ 0 0) into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [taylor]: Taking taylor expansion of 0 in y 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.785 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.785 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 2.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.786 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.787 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.787 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.787 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 2.787 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.787 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.787 * [taylor]: Taking taylor expansion of 8.0 in y 2.787 * [backup-simplify]: Simplify 8.0 into 8.0 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.787 * [taylor]: Taking taylor expansion of y in y 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify (* 1 1) into 1 2.788 * [backup-simplify]: Simplify (/ 1 1) into 1 2.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.790 * [backup-simplify]: Simplify (- 0) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.792 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.792 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.792 * [backup-simplify]: Simplify (+ 0 0) into 0 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (+ 0 0) into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 2.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.796 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.797 * [backup-simplify]: Simplify (- 0) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.797 * [taylor]: Taking taylor expansion of 0 in y 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.798 * [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))))) 2.798 * [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 2.798 * [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 2.798 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 2.798 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 2.798 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.798 * [taylor]: Taking taylor expansion of x in y 2.798 * [backup-simplify]: Simplify x into x 2.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.798 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.798 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.798 * [taylor]: Taking taylor expansion of x in y 2.798 * [backup-simplify]: Simplify x into x 2.798 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.798 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.798 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.798 * [taylor]: Taking taylor expansion of 4.0 in y 2.798 * [backup-simplify]: Simplify 4.0 into 4.0 2.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.798 * [taylor]: Taking taylor expansion of y in y 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (* 1 1) into 1 2.799 * [backup-simplify]: Simplify (/ 1 1) into 1 2.799 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.799 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.799 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.799 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 2.799 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 2.799 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 2.799 * [taylor]: Taking taylor expansion of 4.0 in y 2.799 * [backup-simplify]: Simplify 4.0 into 4.0 2.799 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 2.799 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 2.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.800 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.800 * [taylor]: Taking taylor expansion of x in y 2.800 * [backup-simplify]: Simplify x into x 2.800 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.800 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.800 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.800 * [taylor]: Taking taylor expansion of 4.0 in y 2.800 * [backup-simplify]: Simplify 4.0 into 4.0 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.800 * [taylor]: Taking taylor expansion of y in y 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (* 1 1) into 1 2.800 * [backup-simplify]: Simplify (/ 1 1) into 1 2.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.800 * [taylor]: Taking taylor expansion of y in y 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.801 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 2.801 * [backup-simplify]: Simplify (* 1 1) into 1 2.801 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.802 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 2.802 * [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 2.802 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 2.802 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 2.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (* 1 1) into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.802 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.802 * [taylor]: Taking taylor expansion of 4.0 in x 2.802 * [backup-simplify]: Simplify 4.0 into 4.0 2.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.802 * [taylor]: Taking taylor expansion of y in x 2.802 * [backup-simplify]: Simplify y into y 2.802 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.803 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.803 * [backup-simplify]: Simplify (* 1 1) into 1 2.803 * [backup-simplify]: Simplify (+ 1 0) into 1 2.803 * [backup-simplify]: Simplify (* 1 1) into 1 2.803 * [backup-simplify]: Simplify (/ 1 1) into 1 2.804 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 2.804 * [taylor]: Taking taylor expansion of 4.0 in x 2.804 * [backup-simplify]: Simplify 4.0 into 4.0 2.804 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 2.804 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 2.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (* 1 1) into 1 2.804 * [backup-simplify]: Simplify (/ 1 1) into 1 2.804 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.804 * [taylor]: Taking taylor expansion of 4.0 in x 2.804 * [backup-simplify]: Simplify 4.0 into 4.0 2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.804 * [taylor]: Taking taylor expansion of y in x 2.804 * [backup-simplify]: Simplify y into y 2.804 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.804 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.804 * [taylor]: Taking taylor expansion of y in x 2.804 * [backup-simplify]: Simplify y into y 2.805 * [backup-simplify]: Simplify (+ 1 0) into 1 2.805 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.805 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.805 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.805 * [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 x 2.805 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 2.805 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 2.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.805 * [taylor]: Taking taylor expansion of x in x 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.805 * [taylor]: Taking taylor expansion of x in x 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.806 * [taylor]: Taking taylor expansion of 4.0 in x 2.806 * [backup-simplify]: Simplify 4.0 into 4.0 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.806 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.806 * [taylor]: Taking taylor expansion of y in x 2.806 * [backup-simplify]: Simplify y into y 2.806 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.806 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify (+ 1 0) into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 2.807 * [taylor]: Taking taylor expansion of 4.0 in x 2.807 * [backup-simplify]: Simplify 4.0 into 4.0 2.807 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 2.807 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 2.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.808 * [backup-simplify]: Simplify (/ 1 1) into 1 2.808 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.808 * [taylor]: Taking taylor expansion of 4.0 in x 2.808 * [backup-simplify]: Simplify 4.0 into 4.0 2.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.808 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.808 * [taylor]: Taking taylor expansion of y in x 2.808 * [backup-simplify]: Simplify y into y 2.808 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.808 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.808 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.808 * [taylor]: Taking taylor expansion of y in x 2.808 * [backup-simplify]: Simplify y into y 2.808 * [backup-simplify]: Simplify (+ 1 0) into 1 2.808 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.808 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.808 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.809 * [backup-simplify]: Simplify (+ 1 0) into 1 2.809 * [taylor]: Taking taylor expansion of 1 in y 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (+ 0 0) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify (+ 0 0) into 0 2.811 * [taylor]: Taking taylor expansion of 0 in y 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.813 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.814 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.814 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.814 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.815 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 2.815 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.815 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.815 * [taylor]: Taking taylor expansion of 8.0 in y 2.815 * [backup-simplify]: Simplify 8.0 into 8.0 2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.815 * [taylor]: Taking taylor expansion of y in y 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (* 1 1) into 1 2.815 * [backup-simplify]: Simplify (/ 1 1) into 1 2.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.818 * [backup-simplify]: Simplify (- 0) into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.820 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ 0 0) into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 2.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.824 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.824 * [backup-simplify]: Simplify (- 0) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.825 * [taylor]: Taking taylor expansion of 0 in y 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.825 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2))) 2.825 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 2.825 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 2.825 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.825 * [taylor]: Taking taylor expansion of x in y 2.825 * [backup-simplify]: Simplify x into x 2.825 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.825 * [taylor]: Taking taylor expansion of 4.0 in y 2.825 * [backup-simplify]: Simplify 4.0 into 4.0 2.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.825 * [taylor]: Taking taylor expansion of y in y 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 2.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.825 * [taylor]: Taking taylor expansion of 4.0 in x 2.825 * [backup-simplify]: Simplify 4.0 into 4.0 2.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.825 * [taylor]: Taking taylor expansion of y in x 2.825 * [backup-simplify]: Simplify y into y 2.825 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 2.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.825 * [taylor]: Taking taylor expansion of 4.0 in x 2.826 * [backup-simplify]: Simplify 4.0 into 4.0 2.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.826 * [taylor]: Taking taylor expansion of y in x 2.826 * [backup-simplify]: Simplify y into y 2.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.826 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.826 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 2.826 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.826 * [taylor]: Taking taylor expansion of 4.0 in y 2.826 * [backup-simplify]: Simplify 4.0 into 4.0 2.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.826 * [taylor]: Taking taylor expansion of y in y 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.827 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.827 * [backup-simplify]: Simplify (+ 0 0) into 0 2.827 * [taylor]: Taking taylor expansion of 0 in y 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (* 1 1) into 1 2.827 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.828 * [backup-simplify]: Simplify (+ 1 0) into 1 2.828 * [taylor]: Taking taylor expansion of 1 in y 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (* 1 1) into 1 2.829 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.829 * [backup-simplify]: Simplify 4.0 into 4.0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.830 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.831 * [backup-simplify]: Simplify (+ 0 0) into 0 2.831 * [taylor]: Taking taylor expansion of 0 in y 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.832 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.833 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.834 * [backup-simplify]: Simplify (+ 0 0) into 0 2.834 * [taylor]: Taking taylor expansion of 0 in y 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 2.834 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 2.834 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 2.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.834 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.835 * [taylor]: Taking taylor expansion of x in y 2.835 * [backup-simplify]: Simplify x into x 2.835 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.835 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.835 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.835 * [taylor]: Taking taylor expansion of 4.0 in y 2.835 * [backup-simplify]: Simplify 4.0 into 4.0 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.835 * [taylor]: Taking taylor expansion of y in y 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (* 1 1) into 1 2.835 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (* 1 1) into 1 2.836 * [backup-simplify]: Simplify (/ 1 1) into 1 2.836 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.836 * [taylor]: Taking taylor expansion of 4.0 in x 2.836 * [backup-simplify]: Simplify 4.0 into 4.0 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.836 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.836 * [taylor]: Taking taylor expansion of y in x 2.836 * [backup-simplify]: Simplify y into y 2.836 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.836 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (* 1 1) into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.837 * [taylor]: Taking taylor expansion of 4.0 in x 2.837 * [backup-simplify]: Simplify 4.0 into 4.0 2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.837 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.837 * [taylor]: Taking taylor expansion of y in x 2.837 * [backup-simplify]: Simplify y into y 2.837 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.837 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.837 * [backup-simplify]: Simplify (+ 1 0) into 1 2.837 * [taylor]: Taking taylor expansion of 1 in y 2.837 * [backup-simplify]: Simplify 1 into 1 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [taylor]: Taking taylor expansion of 0 in y 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.840 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 2.840 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.840 * [taylor]: Taking taylor expansion of 4.0 in y 2.840 * [backup-simplify]: Simplify 4.0 into 4.0 2.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.840 * [taylor]: Taking taylor expansion of y in y 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (* 1 1) into 1 2.841 * [backup-simplify]: Simplify (/ 1 1) into 1 2.841 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.841 * [backup-simplify]: Simplify 4.0 into 4.0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.843 * [backup-simplify]: Simplify (+ 0 0) into 0 2.843 * [taylor]: Taking taylor expansion of 0 in y 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.846 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [taylor]: Taking taylor expansion of 0 in y 2.851 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 2.853 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 2.853 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 2.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 2.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.853 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.853 * [taylor]: Taking taylor expansion of x in y 2.853 * [backup-simplify]: Simplify x into x 2.854 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.854 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.854 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.854 * [taylor]: Taking taylor expansion of 4.0 in y 2.854 * [backup-simplify]: Simplify 4.0 into 4.0 2.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.854 * [taylor]: Taking taylor expansion of y in y 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (* 1 1) into 1 2.854 * [backup-simplify]: Simplify (/ 1 1) into 1 2.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.854 * [taylor]: Taking taylor expansion of x in x 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (* 1 1) into 1 2.855 * [backup-simplify]: Simplify (/ 1 1) into 1 2.855 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.855 * [taylor]: Taking taylor expansion of 4.0 in x 2.855 * [backup-simplify]: Simplify 4.0 into 4.0 2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.855 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.855 * [taylor]: Taking taylor expansion of y in x 2.855 * [backup-simplify]: Simplify y into y 2.855 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.855 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.855 * [taylor]: Taking taylor expansion of x in x 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (* 1 1) into 1 2.856 * [backup-simplify]: Simplify (/ 1 1) into 1 2.856 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.856 * [taylor]: Taking taylor expansion of 4.0 in x 2.856 * [backup-simplify]: Simplify 4.0 into 4.0 2.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.856 * [taylor]: Taking taylor expansion of y in x 2.856 * [backup-simplify]: Simplify y into y 2.856 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.856 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.856 * [backup-simplify]: Simplify (+ 1 0) into 1 2.856 * [taylor]: Taking taylor expansion of 1 in y 2.856 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ 0 0) into 0 2.857 * [taylor]: Taking taylor expansion of 0 in y 2.857 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.859 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 2.859 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.859 * [taylor]: Taking taylor expansion of 4.0 in y 2.859 * [backup-simplify]: Simplify 4.0 into 4.0 2.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.859 * [taylor]: Taking taylor expansion of y in y 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (* 1 1) into 1 2.859 * [backup-simplify]: Simplify (/ 1 1) into 1 2.860 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.860 * [backup-simplify]: Simplify 4.0 into 4.0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.861 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.862 * [backup-simplify]: Simplify (+ 0 0) into 0 2.862 * [taylor]: Taking taylor expansion of 0 in y 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.865 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.865 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [taylor]: Taking taylor expansion of 0 in y 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.867 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 2.868 * * * [progress]: simplifying candidates 2.869 * [simplify]: Simplifying: (- (+ (+ (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) (* 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(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)))) (/ (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))) 2.872 * * [simplify]: Extracting # 0 : cost 0 2.872 * * [simplify]: Extracting # 1 : cost 0 2.872 * * [simplify]: Extracting # 2 : cost 0 2.873 * * [simplify]: Extracting # 3 : cost 0 2.873 * * [simplify]: Extracting # 4 : cost 0 2.873 * * [simplify]: Extracting # 5 : cost 0 2.873 * * [simplify]: Extracting # 6 : cost 0 2.873 * * [simplify]: Extracting # 7 : cost 0 2.873 * * [simplify]: iteration 0 : 142 enodes (cost 2132 ) 2.906 * * [simplify]: Extracting # 0 : cost 0 2.907 * * [simplify]: Extracting # 1 : cost 0 2.907 * * [simplify]: Extracting # 2 : cost 0 2.908 * * [simplify]: Extracting # 3 : cost 0 2.908 * * [simplify]: Extracting # 4 : cost 0 2.909 * * [simplify]: iteration 1 : 383 enodes (cost 2013 ) 3.090 * * [simplify]: Extracting # 0 : cost 0 3.092 * * [simplify]: Extracting # 1 : cost 0 3.094 * * [simplify]: Extracting # 2 : cost 0 3.095 * * [simplify]: Extracting # 3 : cost 0 3.096 * * [simplify]: Extracting # 4 : cost 0 3.098 * * [simplify]: Extracting # 5 : cost 0 3.102 * * [simplify]: iteration 2 : 1397 enodes (cost 1747 ) 3.851 * * [simplify]: Extracting # 0 : cost 0 3.857 * * [simplify]: Extracting # 1 : cost 0 3.863 * * [simplify]: Extracting # 2 : cost 0 3.873 * * [simplify]: Extracting # 3 : cost 0 3.879 * * [simplify]: Extracting # 4 : cost 0 3.885 * * [simplify]: iteration done: 5000 enodes (cost 1747 ) 3.886 * [simplify]: Simplified to: (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)))) (* (* y 4.0) y) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow x 6) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (pow x 4) (* y (* (pow y 3) (* 4.0 4.0))))) (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) (* 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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) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* y (* (pow y 3) (* 4.0 4.0))) (* (+ (* 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)))) (+ (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 4.0) y) (+ (pow x 6) (pow (* (* y 4.0) y) 3)))) (- (/ (* x x) (- (pow x 4) (* y (* (pow y 3) (* 4.0 4.0))))) (/ (* (* y 4.0) y) (- (pow x 4) (* y (* (pow y 3) (* 4.0 4.0)))))) (- (/ (* (* 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)) (+ (pow x 4) (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x)))) (- (pow x 4) (* y (* (pow y 3) (* 4.0 4.0)))) (- (* x x) (* (* y 4.0) y)) 0 0 0 0 0 0 (- 1.0) 1 1 (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)) 3.886 * * * [progress]: adding candidates to table 4.064 * * [progress]: iteration 3 / 4 4.064 * * * [progress]: picking best candidate 4.066 * * * * [pick]: Picked # 4.066 * * * [progress]: localizing error 4.067 * * * [progress]: generating rewritten candidates 4.067 * * * [progress]: generating series expansions 4.067 * * * [progress]: simplifying candidates 4.068 * [simplify]: Simplifying: 4.068 * * [simplify]: Extracting # 0 : cost 0 4.068 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 4.068 * * [simplify]: Extracting # 0 : cost 0 4.068 * * [simplify]: iteration done: 0 enodes (cost 0 ) 4.068 * [simplify]: Simplified to: 4.068 * * * [progress]: adding candidates to table 4.068 * * [progress]: iteration 4 / 4 4.068 * * * [progress]: picking best candidate 4.069 * * * * [pick]: Picked # 4.069 * * * [progress]: localizing error 4.069 * * * [progress]: generating rewritten candidates 4.069 * * * [progress]: generating series expansions 4.069 * * * [progress]: simplifying candidates 4.069 * [simplify]: Simplifying: 4.069 * * [simplify]: Extracting # 0 : cost 0 4.069 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 4.069 * * [simplify]: Extracting # 0 : cost 0 4.069 * * [simplify]: iteration done: 0 enodes (cost 0 ) 4.069 * [simplify]: Simplified to: 4.069 * * * [progress]: adding candidates to table 4.070 * [progress]: [Phase 3 of 3] Extracting. 4.070 * * [regime]: Finding splitpoints for: (# # #) 4.070 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x) 4.070 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # #) 4.091 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 4.107 * * * * [regimes]: Trying to branch on y from (# # #) 4.138 * * * * [regimes]: Trying to branch on x from (# # #) 4.171 * * * [regime]: Found split indices: #