25.713 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.032 * * [simplify]: iteration 0: 9 enodes 0.035 * * [simplify]: iteration 1: 17 enodes 0.039 * * [simplify]: iteration 2: 35 enodes 0.045 * * [simplify]: iteration 3: 67 enodes 0.060 * * [simplify]: iteration 4: 116 enodes 0.098 * * [simplify]: iteration 5: 169 enodes 0.148 * * [simplify]: iteration 6: 198 enodes 0.203 * * [simplify]: iteration 7: 202 enodes 0.241 * * [simplify]: iteration complete: 202 enodes 0.241 * * [simplify]: Extracting #0: cost 1 inf + 0 0.241 * * [simplify]: Extracting #1: cost 6 inf + 0 0.241 * * [simplify]: Extracting #2: cost 36 inf + 0 0.241 * * [simplify]: Extracting #3: cost 24 inf + 576 0.243 * * [simplify]: Extracting #4: cost 6 inf + 4670 0.244 * * [simplify]: Extracting #5: cost 0 inf + 5928 0.246 * [simplify]: Simplified to: (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) 0.247 * * [progress]: iteration 1 / 4 0.247 * * * [progress]: picking best candidate 0.250 * * * * [pick]: Picked # 0.250 * * * [progress]: localizing error 0.264 * * * [progress]: generating rewritten candidates 0.264 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.285 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.291 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.299 * * * [progress]: generating series expansions 0.299 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.299 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 0.299 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0 0.299 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 0.299 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [backup-simplify]: Simplify x into x 0.299 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.299 * [taylor]: Taking taylor expansion of 4.0 in y 0.299 * [backup-simplify]: Simplify 4.0 into 4.0 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 0.299 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.299 * [taylor]: Taking taylor expansion of 4.0 in y 0.299 * [backup-simplify]: Simplify 4.0 into 4.0 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [backup-simplify]: Simplify x into x 0.300 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.300 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.300 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.300 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.300 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.300 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.300 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of (* 4.0 (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 (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 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (* 4.0 (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 (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 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.300 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.301 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.301 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.301 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.301 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.301 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.301 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.301 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.301 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 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 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.301 * [taylor]: Taking taylor expansion of 4.0 in x 0.301 * [backup-simplify]: Simplify 4.0 into 4.0 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.301 * [taylor]: Taking taylor expansion of 4.0 in x 0.301 * [backup-simplify]: Simplify 4.0 into 4.0 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 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 0.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.302 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.302 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.302 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.302 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.302 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.302 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.302 * [taylor]: Taking taylor expansion of -1.0 in y 0.302 * [backup-simplify]: Simplify -1.0 into -1.0 0.302 * [backup-simplify]: Simplify -1.0 into -1.0 0.302 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.303 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.307 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 1 0) into 1 0.309 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ 0 1) into 1 0.311 * [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))) 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.311 * [taylor]: Taking taylor expansion of 0.5 in y 0.311 * [backup-simplify]: Simplify 0.5 into 0.5 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [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 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify -1.0 into -1.0 0.319 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 0.319 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [backup-simplify]: Simplify x into x 0.319 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.319 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.319 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.319 * [taylor]: Taking taylor expansion of 4.0 in y 0.319 * [backup-simplify]: Simplify 4.0 into 4.0 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.320 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.320 * [taylor]: Taking taylor expansion of 4.0 in y 0.320 * [backup-simplify]: Simplify 4.0 into 4.0 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [backup-simplify]: Simplify x into x 0.320 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.320 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.321 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.321 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.321 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.322 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.322 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.322 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.322 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 0.322 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.323 * [taylor]: Taking taylor expansion of 4.0 in x 0.323 * [backup-simplify]: Simplify 4.0 into 4.0 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [backup-simplify]: Simplify y into y 0.323 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.323 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.323 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.323 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.323 * [taylor]: Taking taylor expansion of 4.0 in x 0.323 * [backup-simplify]: Simplify 4.0 into 4.0 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [backup-simplify]: Simplify y into y 0.323 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.324 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (+ 0 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.325 * [taylor]: Taking taylor expansion of 4.0 in x 0.325 * [backup-simplify]: Simplify 4.0 into 4.0 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [backup-simplify]: Simplify y into y 0.326 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.326 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.326 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.326 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.326 * [taylor]: Taking taylor expansion of 4.0 in x 0.326 * [backup-simplify]: Simplify 4.0 into 4.0 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [backup-simplify]: Simplify y into y 0.326 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.326 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.327 * [backup-simplify]: Simplify (+ 0 1) into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of 1 in y 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.331 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.332 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.332 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.333 * [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)))) 0.334 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.334 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.334 * [taylor]: Taking taylor expansion of 8.0 in y 0.334 * [backup-simplify]: Simplify 8.0 into 8.0 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 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 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [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 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 0.343 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [backup-simplify]: Simplify x into x 0.343 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.343 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.343 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.343 * [taylor]: Taking taylor expansion of 4.0 in y 0.343 * [backup-simplify]: Simplify 4.0 into 4.0 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.344 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.344 * [taylor]: Taking taylor expansion of 4.0 in y 0.344 * [backup-simplify]: Simplify 4.0 into 4.0 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [backup-simplify]: Simplify x into x 0.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.345 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.345 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.346 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.346 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.346 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.347 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.347 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.347 * [taylor]: Taking taylor expansion of 4.0 in x 0.347 * [backup-simplify]: Simplify 4.0 into 4.0 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [backup-simplify]: Simplify y into y 0.348 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.348 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.348 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.348 * [taylor]: Taking taylor expansion of 4.0 in x 0.348 * [backup-simplify]: Simplify 4.0 into 4.0 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [backup-simplify]: Simplify y into y 0.348 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [backup-simplify]: Simplify (+ 1 0) into 1 0.349 * [backup-simplify]: Simplify (+ 0 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)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 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 0.350 * [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 0.350 * [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 (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 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)) 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 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [backup-simplify]: Simplify (+ 0 1) into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of 1 in y 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.356 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.356 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.356 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.358 * [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)))) 0.358 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.358 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.358 * [taylor]: Taking taylor expansion of 8.0 in y 0.358 * [backup-simplify]: Simplify 8.0 into 8.0 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [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 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.367 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.367 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [backup-simplify]: Simplify x into x 0.367 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of 4.0 in y 0.367 * [backup-simplify]: Simplify 4.0 into 4.0 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of 4.0 in x 0.367 * [backup-simplify]: Simplify 4.0 into 4.0 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [backup-simplify]: Simplify y into y 0.367 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of 4.0 in x 0.367 * [backup-simplify]: Simplify 4.0 into 4.0 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [backup-simplify]: Simplify y into y 0.367 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.367 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.368 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.368 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.368 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of 4.0 in y 0.368 * [backup-simplify]: Simplify 4.0 into 4.0 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.368 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.369 * [backup-simplify]: Simplify (- 0) 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 (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [taylor]: Taking taylor expansion of 1 in y 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.371 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.371 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.376 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.377 * [backup-simplify]: Simplify (- 0) 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 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.378 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.378 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [backup-simplify]: Simplify x into x 0.378 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.378 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.378 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of 4.0 in y 0.378 * [backup-simplify]: Simplify 4.0 into 4.0 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.380 * [taylor]: Taking taylor expansion of 4.0 in x 0.380 * [backup-simplify]: Simplify 4.0 into 4.0 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [backup-simplify]: Simplify y into y 0.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.380 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.380 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of 4.0 in x 0.381 * [backup-simplify]: Simplify 4.0 into 4.0 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [backup-simplify]: Simplify y into y 0.381 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.381 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.381 * [taylor]: Taking taylor expansion of 1 in y 0.381 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.384 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.384 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.384 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.384 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.384 * [taylor]: Taking taylor expansion of 4.0 in y 0.384 * [backup-simplify]: Simplify 4.0 into 4.0 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (* 1 1) into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.385 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.385 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.385 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.396 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [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))) 0.400 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.400 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.400 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [backup-simplify]: Simplify x into x 0.400 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.400 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.400 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.400 * [taylor]: Taking taylor expansion of 4.0 in y 0.400 * [backup-simplify]: Simplify 4.0 into 4.0 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of 4.0 in x 0.403 * [backup-simplify]: Simplify 4.0 into 4.0 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.403 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of 4.0 in x 0.404 * [backup-simplify]: Simplify 4.0 into 4.0 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [backup-simplify]: Simplify y into y 0.404 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.404 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.404 * [backup-simplify]: Simplify (+ 1 0) into 1 0.404 * [taylor]: Taking taylor expansion of 1 in y 0.404 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.407 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.407 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.407 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.407 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.407 * [taylor]: Taking taylor expansion of 4.0 in y 0.407 * [backup-simplify]: Simplify 4.0 into 4.0 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.408 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.408 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.408 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [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))) 0.417 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.417 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.417 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 0.417 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of 4.0 in y 0.417 * [backup-simplify]: Simplify 4.0 into 4.0 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [backup-simplify]: Simplify x into x 0.418 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.418 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of 4.0 in x 0.418 * [backup-simplify]: Simplify 4.0 into 4.0 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.418 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of 4.0 in x 0.418 * [backup-simplify]: Simplify 4.0 into 4.0 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.418 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.418 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.418 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of 4.0 in y 0.418 * [backup-simplify]: Simplify 4.0 into 4.0 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.419 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.420 * [taylor]: Taking taylor expansion of 1 in y 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.421 * [backup-simplify]: Simplify 4.0 into 4.0 0.422 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.427 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.427 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.427 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.427 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.427 * [taylor]: Taking taylor expansion of 4.0 in y 0.427 * [backup-simplify]: Simplify 4.0 into 4.0 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [backup-simplify]: Simplify x into x 0.428 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.428 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.428 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.428 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.428 * [taylor]: Taking taylor expansion of 4.0 in x 0.428 * [backup-simplify]: Simplify 4.0 into 4.0 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [backup-simplify]: Simplify y into y 0.428 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.428 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.429 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.429 * [taylor]: Taking taylor expansion of 4.0 in x 0.429 * [backup-simplify]: Simplify 4.0 into 4.0 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [backup-simplify]: Simplify y into y 0.429 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.429 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (+ 0 1) into 1 0.430 * [taylor]: Taking taylor expansion of 1 in y 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.432 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.432 * [taylor]: Taking taylor expansion of 4.0 in y 0.432 * [backup-simplify]: Simplify 4.0 into 4.0 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.433 * [backup-simplify]: Simplify 4.0 into 4.0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.442 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.442 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.442 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.442 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.442 * [taylor]: Taking taylor expansion of 4.0 in y 0.442 * [backup-simplify]: Simplify 4.0 into 4.0 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [backup-simplify]: Simplify x into x 0.442 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.442 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.442 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.443 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of 4.0 in x 0.443 * [backup-simplify]: Simplify 4.0 into 4.0 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [backup-simplify]: Simplify y into y 0.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.443 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.443 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of 4.0 in x 0.443 * [backup-simplify]: Simplify 4.0 into 4.0 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [backup-simplify]: Simplify y into y 0.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [backup-simplify]: Simplify (+ 0 1) into 1 0.444 * [taylor]: Taking taylor expansion of 1 in y 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.447 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.447 * [taylor]: Taking taylor expansion of 4.0 in y 0.447 * [backup-simplify]: Simplify 4.0 into 4.0 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.448 * [backup-simplify]: Simplify 4.0 into 4.0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.456 * * * [progress]: simplifying candidates 0.457 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) 0.458 * * [simplify]: iteration 0: 87 enodes 0.474 * * [simplify]: iteration 1: 254 enodes 0.599 * * [simplify]: iteration 2: 1203 enodes 0.944 * * [simplify]: iteration complete: 5000 enodes 0.945 * * [simplify]: Extracting #0: cost 55 inf + 0 0.945 * * [simplify]: Extracting #1: cost 543 inf + 2 0.949 * * [simplify]: Extracting #2: cost 1827 inf + 587 0.960 * * [simplify]: Extracting #3: cost 1987 inf + 43290 1.049 * * [simplify]: Extracting #4: cost 523 inf + 375451 1.159 * * [simplify]: Extracting #5: cost 72 inf + 504316 1.291 * * [simplify]: Extracting #6: cost 8 inf + 519553 1.394 * * [simplify]: Extracting #7: cost 0 inf + 521846 1.509 * [simplify]: Simplified to: (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (* (* (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (* (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (* (* (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (- (- (* x x) (* y (* y 4.0)))) (- (+ (* y (* y 4.0)) (* x x))) (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (* (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (* (/ (cbrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0)))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) 1 (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) (- (* x x) (* y (* y 4.0))) (/ (+ (* x x) (* y (* y 4.0))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (sqrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (* (* (* y 4.0) (* y (* y 4.0))) (* y (* y (* y 4.0)))) (* (* x x) (* (* x x) (* x x))))) (/ (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (- (* x x) (* y (* y 4.0)))) (+ (* (+ (* x x) (* y (* y 4.0))) (* (* x x) (* x x))) (* (* y (* y 4.0)) (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))))) (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (exp (- (* x x) (* y (* y 4.0)))) (log (- (* x x) (* y (* y 4.0)))) (exp (- (* x x) (* y (* y 4.0)))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0)))) (* (- (* x x) (* y (* y 4.0))) (* (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (- (* x x) (* y (* y 4.0)))) (+ (* (* x x) (* (* x x) (* x x))) (* (- (* (* y (* y 4.0)) (* y (* y 4.0)))) (* y (* y 4.0)))) (+ (* (* y (* y 4.0)) (+ (* y (* y 4.0)) (* x x))) (* (* x x) (* x x))) (* 4.0 (* y (- y))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* y (* y 4.0))) (* 4.0 (* y (- y))) (exp (+ (* x x) (* y (* y 4.0)))) (log (+ (* x x) (* y (* y 4.0)))) (exp (+ (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (+ (* x x) (* y (* y 4.0)))) (* (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0)))) (+ (* (* (* y 4.0) (* y (* y 4.0))) (* y (* y (* y 4.0)))) (* (* x x) (* (* x x) (* x x)))) (+ (* (* x x) (* x x)) (* (* y (* y 4.0)) (- (* y (* y 4.0)) (* x x)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* y (* y 4.0))) -1.0 1 1 (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) 1.513 * * * [progress]: adding candidates to table 1.769 * * [progress]: iteration 2 / 4 1.769 * * * [progress]: picking best candidate 1.785 * * * * [pick]: Picked # 1.785 * * * [progress]: localizing error 1.785 * * * [progress]: generating rewritten candidates 1.785 * * * [progress]: generating series expansions 1.785 * * * [progress]: simplifying candidates 1.786 * [simplify]: Simplifying: 1.786 * * [simplify]: iteration 0: 0 enodes 1.786 * * [simplify]: iteration complete: 0 enodes 1.786 * * [simplify]: Extracting #0: cost 0 inf + 0 1.786 * [simplify]: Simplified to: 1.786 * * * [progress]: adding candidates to table 1.786 * * [progress]: iteration 3 / 4 1.786 * * * [progress]: picking best candidate 1.799 * * * * [pick]: Picked # 1.799 * * * [progress]: localizing error 1.818 * * * [progress]: generating rewritten candidates 1.818 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.833 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.858 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.916 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.925 * * * [progress]: generating series expansions 1.925 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.925 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) 1.925 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0 1.925 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 1.925 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.925 * [taylor]: Taking taylor expansion of x in y 1.925 * [backup-simplify]: Simplify x into x 1.925 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 1.925 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.925 * [taylor]: Taking taylor expansion of 4.0 in y 1.925 * [backup-simplify]: Simplify 4.0 into 4.0 1.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.925 * [taylor]: Taking taylor expansion of y in y 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.925 * [taylor]: Taking taylor expansion of x in y 1.925 * [backup-simplify]: Simplify x into x 1.925 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.925 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.926 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.926 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.926 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 1.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 1.926 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.926 * [taylor]: Taking taylor expansion of 4.0 in x 1.926 * [backup-simplify]: Simplify 4.0 into 4.0 1.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.926 * [taylor]: Taking taylor expansion of y in x 1.926 * [backup-simplify]: Simplify y into y 1.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (* 1 1) into 1 1.926 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.927 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.927 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 1.927 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 1.927 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 1.927 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 1.927 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.927 * [taylor]: Taking taylor expansion of 4.0 in x 1.927 * [backup-simplify]: Simplify 4.0 into 4.0 1.927 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.927 * [taylor]: Taking taylor expansion of y in x 1.927 * [backup-simplify]: Simplify y into y 1.927 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (* 1 1) into 1 1.927 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.927 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.928 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 1.928 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 1.928 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 1.928 * [taylor]: Taking taylor expansion of 0.25 in y 1.928 * [backup-simplify]: Simplify 0.25 into 0.25 1.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.928 * [taylor]: Taking taylor expansion of y in y 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.928 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.931 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 1.932 * [taylor]: Taking taylor expansion of 0 in y 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.934 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.935 * [backup-simplify]: Simplify (+ 0 1) into 1 1.935 * [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)))) 1.935 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 1.936 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 1.936 * [taylor]: Taking taylor expansion of 0.0625 in y 1.936 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.936 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.936 * [taylor]: Taking taylor expansion of y in y 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) 1.945 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in (x y) around 0 1.945 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in y 1.945 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in y 1.945 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.945 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.945 * [taylor]: Taking taylor expansion of 4.0 in y 1.945 * [backup-simplify]: Simplify 4.0 into 4.0 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.945 * [taylor]: Taking taylor expansion of y in y 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (* 1 1) into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.946 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.946 * [taylor]: Taking taylor expansion of x in y 1.946 * [backup-simplify]: Simplify x into x 1.946 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.946 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.946 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.946 * [taylor]: Taking taylor expansion of x in y 1.946 * [backup-simplify]: Simplify x into x 1.946 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.947 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 1.947 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.947 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 1.947 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 1.947 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 1.947 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 1.947 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.947 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.947 * [taylor]: Taking taylor expansion of 4.0 in x 1.947 * [backup-simplify]: Simplify 4.0 into 4.0 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.947 * [taylor]: Taking taylor expansion of y in x 1.947 * [backup-simplify]: Simplify y into y 1.947 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.947 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (+ 0 1) into 1 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.949 * [backup-simplify]: Simplify (* 1 1) into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.949 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 1.949 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 1.949 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.949 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.949 * [taylor]: Taking taylor expansion of 4.0 in x 1.949 * [backup-simplify]: Simplify 4.0 into 4.0 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.949 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.949 * [taylor]: Taking taylor expansion of y in x 1.949 * [backup-simplify]: Simplify y into y 1.949 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.949 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (* 1 1) into 1 1.950 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (+ 0 1) into 1 1.950 * [backup-simplify]: Simplify (* 1 1) into 1 1.950 * [backup-simplify]: Simplify (* 1 1) into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.951 * [taylor]: Taking taylor expansion of 1 in y 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.953 * [taylor]: Taking taylor expansion of 0 in y 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.954 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) 1))) into (* 4.0 (/ 1 (pow y 2))) 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.956 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 1.956 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.956 * [taylor]: Taking taylor expansion of 4.0 in y 1.956 * [backup-simplify]: Simplify 4.0 into 4.0 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.956 * [taylor]: Taking taylor expansion of y in y 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.962 * [backup-simplify]: Simplify (- 0) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) 1.963 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in (x y) around 0 1.963 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in y 1.963 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in y 1.963 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.963 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.963 * [taylor]: Taking taylor expansion of 4.0 in y 1.963 * [backup-simplify]: Simplify 4.0 into 4.0 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.963 * [taylor]: Taking taylor expansion of y in y 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.963 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.963 * [taylor]: Taking taylor expansion of x in y 1.963 * [backup-simplify]: Simplify x into x 1.963 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.964 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.964 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.964 * [taylor]: Taking taylor expansion of x in y 1.964 * [backup-simplify]: Simplify x into x 1.964 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.964 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 1.964 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.964 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 1.964 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 1.964 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 1.964 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 1.964 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.964 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.964 * [taylor]: Taking taylor expansion of 4.0 in x 1.964 * [backup-simplify]: Simplify 4.0 into 4.0 1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.965 * [taylor]: Taking taylor expansion of y in x 1.965 * [backup-simplify]: Simplify y into y 1.965 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.965 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (* 1 1) into 1 1.965 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (+ 0 1) into 1 1.966 * [backup-simplify]: Simplify (* 1 1) into 1 1.966 * [backup-simplify]: Simplify (* 1 1) into 1 1.966 * [backup-simplify]: Simplify (/ 1 1) into 1 1.966 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 1.966 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 1.966 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.966 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.966 * [taylor]: Taking taylor expansion of 4.0 in x 1.966 * [backup-simplify]: Simplify 4.0 into 4.0 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.966 * [taylor]: Taking taylor expansion of y in x 1.966 * [backup-simplify]: Simplify y into y 1.966 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.967 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.967 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (* 1 1) into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (+ 0 1) into 1 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [taylor]: Taking taylor expansion of 1 in y 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.970 * [taylor]: Taking taylor expansion of 0 in y 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.971 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) 1))) into (* 4.0 (/ 1 (pow y 2))) 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.974 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 1.974 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.974 * [taylor]: Taking taylor expansion of 4.0 in y 1.974 * [backup-simplify]: Simplify 4.0 into 4.0 1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.974 * [taylor]: Taking taylor expansion of y in y 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (* 1 1) into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.983 * [backup-simplify]: Simplify (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) into (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) 1.983 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in (y x) around 0 1.983 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in x 1.983 * [taylor]: Taking taylor expansion of 4.0 in x 1.983 * [backup-simplify]: Simplify 4.0 into 4.0 1.984 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 1.984 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.984 * [taylor]: Taking taylor expansion of y in x 1.984 * [backup-simplify]: Simplify y into y 1.984 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 1.984 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.984 * [taylor]: Taking taylor expansion of 4.0 in x 1.984 * [backup-simplify]: Simplify 4.0 into 4.0 1.984 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.984 * [taylor]: Taking taylor expansion of y in x 1.984 * [backup-simplify]: Simplify y into y 1.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.984 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.984 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.984 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 1.984 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 1.985 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in y 1.985 * [taylor]: Taking taylor expansion of 4.0 in y 1.985 * [backup-simplify]: Simplify 4.0 into 4.0 1.985 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 1.985 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.985 * [taylor]: Taking taylor expansion of y in y 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 1.985 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.985 * [taylor]: Taking taylor expansion of 4.0 in y 1.985 * [backup-simplify]: Simplify 4.0 into 4.0 1.985 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.985 * [taylor]: Taking taylor expansion of y in y 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.985 * [taylor]: Taking taylor expansion of x in y 1.985 * [backup-simplify]: Simplify x into x 1.985 * [backup-simplify]: Simplify (* 1 1) into 1 1.985 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.986 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.986 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.986 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in y 1.986 * [taylor]: Taking taylor expansion of 4.0 in y 1.986 * [backup-simplify]: Simplify 4.0 into 4.0 1.986 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 1.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.986 * [taylor]: Taking taylor expansion of y in y 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 1.986 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.986 * [taylor]: Taking taylor expansion of 4.0 in y 1.986 * [backup-simplify]: Simplify 4.0 into 4.0 1.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.986 * [taylor]: Taking taylor expansion of y in y 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.986 * [taylor]: Taking taylor expansion of x in y 1.986 * [backup-simplify]: Simplify x into x 1.986 * [backup-simplify]: Simplify (* 1 1) into 1 1.987 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.987 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.987 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.987 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 1.987 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 1.987 * [taylor]: Taking taylor expansion of 4.0 in x 1.987 * [backup-simplify]: Simplify 4.0 into 4.0 1.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (* 1 1) into 1 1.988 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.992 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.992 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 1.993 * [taylor]: Taking taylor expansion of 0 in x 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.996 * [backup-simplify]: Simplify (* 1 1) into 1 1.996 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.997 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.997 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 1.998 * [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)))) 1.998 * [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)))) 1.998 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 1.998 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 1.998 * [taylor]: Taking taylor expansion of 16.0 in x 1.998 * [backup-simplify]: Simplify 16.0 into 16.0 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.998 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (/ 1 1) into 1 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.007 * [backup-simplify]: Simplify (- 0) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) 2.009 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in (y x) around 0 2.009 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 2.009 * [taylor]: Taking taylor expansion of 4.0 in x 2.009 * [backup-simplify]: Simplify 4.0 into 4.0 2.009 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 2.009 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.009 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.009 * [taylor]: Taking taylor expansion of 4.0 in x 2.009 * [backup-simplify]: Simplify 4.0 into 4.0 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.009 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.009 * [taylor]: Taking taylor expansion of y in x 2.009 * [backup-simplify]: Simplify y into y 2.009 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.009 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (* 1 1) into 1 2.010 * [backup-simplify]: Simplify (/ 1 1) into 1 2.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.010 * [taylor]: Taking taylor expansion of y in x 2.010 * [backup-simplify]: Simplify y into y 2.011 * [backup-simplify]: Simplify (+ 0 1) into 1 2.011 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.011 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.011 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 2.011 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 2.011 * [taylor]: Taking taylor expansion of 4.0 in y 2.011 * [backup-simplify]: Simplify 4.0 into 4.0 2.011 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 2.011 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.011 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.011 * [taylor]: Taking taylor expansion of 4.0 in y 2.011 * [backup-simplify]: Simplify 4.0 into 4.0 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.011 * [taylor]: Taking taylor expansion of y in y 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (* 1 1) into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.012 * [taylor]: Taking taylor expansion of x in y 2.012 * [backup-simplify]: Simplify x into x 2.012 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.012 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.013 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.014 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.014 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 2.014 * [taylor]: Taking taylor expansion of 4.0 in y 2.014 * [backup-simplify]: Simplify 4.0 into 4.0 2.014 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 2.014 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.014 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.014 * [taylor]: Taking taylor expansion of 4.0 in y 2.014 * [backup-simplify]: Simplify 4.0 into 4.0 2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.014 * [taylor]: Taking taylor expansion of y in y 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (* 1 1) into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.015 * [taylor]: Taking taylor expansion of x in y 2.015 * [backup-simplify]: Simplify x into x 2.015 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.015 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.016 * [taylor]: Taking taylor expansion of y in y 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.016 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.016 * [backup-simplify]: Simplify (* 1 1) into 1 2.018 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.019 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.019 * [taylor]: Taking taylor expansion of 1.0 in x 2.019 * [backup-simplify]: Simplify 1.0 into 1.0 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.021 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 2.021 * [taylor]: Taking taylor expansion of 0 in x 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.024 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 2.025 * [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)))) 2.025 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 2.025 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.025 * [taylor]: Taking taylor expansion of 0.25 in x 2.025 * [backup-simplify]: Simplify 0.25 into 0.25 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (/ 1 1) into 1 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.031 * [backup-simplify]: Simplify (- 0) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) 2.031 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in (y x) around 0 2.031 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 2.031 * [taylor]: Taking taylor expansion of 4.0 in x 2.031 * [backup-simplify]: Simplify 4.0 into 4.0 2.031 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 2.031 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.031 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.031 * [taylor]: Taking taylor expansion of 4.0 in x 2.031 * [backup-simplify]: Simplify 4.0 into 4.0 2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.031 * [taylor]: Taking taylor expansion of y in x 2.031 * [backup-simplify]: Simplify y into y 2.032 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.032 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (* 1 1) into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.032 * [taylor]: Taking taylor expansion of y in x 2.032 * [backup-simplify]: Simplify y into y 2.033 * [backup-simplify]: Simplify (+ 0 1) into 1 2.033 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.033 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.033 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 2.033 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 2.033 * [taylor]: Taking taylor expansion of 4.0 in y 2.033 * [backup-simplify]: Simplify 4.0 into 4.0 2.033 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 2.033 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.033 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.033 * [taylor]: Taking taylor expansion of 4.0 in y 2.033 * [backup-simplify]: Simplify 4.0 into 4.0 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.033 * [taylor]: Taking taylor expansion of y in y 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.034 * [taylor]: Taking taylor expansion of x in y 2.034 * [backup-simplify]: Simplify x into x 2.034 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.034 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.034 * [taylor]: Taking taylor expansion of y in y 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.034 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.034 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.035 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.035 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 2.035 * [taylor]: Taking taylor expansion of 4.0 in y 2.035 * [backup-simplify]: Simplify 4.0 into 4.0 2.035 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 2.035 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.035 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.035 * [taylor]: Taking taylor expansion of 4.0 in y 2.035 * [backup-simplify]: Simplify 4.0 into 4.0 2.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.035 * [taylor]: Taking taylor expansion of y in y 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.036 * [taylor]: Taking taylor expansion of x in y 2.036 * [backup-simplify]: Simplify x into x 2.036 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.036 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.036 * [taylor]: Taking taylor expansion of y in y 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.037 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.037 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.037 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 2.037 * [taylor]: Taking taylor expansion of 1.0 in x 2.037 * [backup-simplify]: Simplify 1.0 into 1.0 2.037 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 2.040 * [taylor]: Taking taylor expansion of 0 in x 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.043 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 2.044 * [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)))) 2.044 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 2.044 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.044 * [taylor]: Taking taylor expansion of 0.25 in x 2.044 * [backup-simplify]: Simplify 0.25 into 0.25 2.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (* 1 1) into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.049 * [backup-simplify]: Simplify (- 0) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.050 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.050 * [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) (+ (* 4.0 (pow y 2)) (pow x 2))) (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))))) 2.050 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))))) in (x y) around 0 2.050 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))))) in y 2.050 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 2.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.050 * [taylor]: Taking taylor expansion of x in y 2.050 * [backup-simplify]: Simplify x into x 2.050 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.050 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.050 * [taylor]: Taking taylor expansion of 4.0 in y 2.050 * [backup-simplify]: Simplify 4.0 into 4.0 2.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.050 * [taylor]: Taking taylor expansion of y in y 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.050 * [taylor]: Taking taylor expansion of x in y 2.050 * [backup-simplify]: Simplify x into x 2.050 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.050 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.050 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.051 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.051 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in y 2.051 * [taylor]: Taking taylor expansion of 4.0 in y 2.051 * [backup-simplify]: Simplify 4.0 into 4.0 2.051 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 2.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.051 * [taylor]: Taking taylor expansion of y in y 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.051 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.051 * [taylor]: Taking taylor expansion of 4.0 in y 2.051 * [backup-simplify]: Simplify 4.0 into 4.0 2.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.051 * [taylor]: Taking taylor expansion of y in y 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.051 * [taylor]: Taking taylor expansion of x in y 2.051 * [backup-simplify]: Simplify x into x 2.051 * [backup-simplify]: Simplify (* 1 1) into 1 2.051 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.051 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.051 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.051 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))))) in x 2.051 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.052 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.052 * [taylor]: Taking taylor expansion of 4.0 in x 2.052 * [backup-simplify]: Simplify 4.0 into 4.0 2.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.052 * [taylor]: Taking taylor expansion of y in x 2.052 * [backup-simplify]: Simplify y into y 2.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.052 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.052 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.052 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 2.052 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in x 2.052 * [taylor]: Taking taylor expansion of 4.0 in x 2.052 * [backup-simplify]: Simplify 4.0 into 4.0 2.052 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.052 * [taylor]: Taking taylor expansion of y in x 2.053 * [backup-simplify]: Simplify y into y 2.053 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.053 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.053 * [taylor]: Taking taylor expansion of 4.0 in x 2.053 * [backup-simplify]: Simplify 4.0 into 4.0 2.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.053 * [taylor]: Taking taylor expansion of y in x 2.053 * [backup-simplify]: Simplify y into y 2.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.053 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.053 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.053 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.053 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 2.053 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))))) in x 2.053 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.053 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.053 * [taylor]: Taking taylor expansion of 4.0 in x 2.053 * [backup-simplify]: Simplify 4.0 into 4.0 2.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.053 * [taylor]: Taking taylor expansion of y in x 2.053 * [backup-simplify]: Simplify y into y 2.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.054 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.054 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.054 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 2.054 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in x 2.054 * [taylor]: Taking taylor expansion of 4.0 in x 2.054 * [backup-simplify]: Simplify 4.0 into 4.0 2.054 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 2.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.054 * [taylor]: Taking taylor expansion of y in x 2.054 * [backup-simplify]: Simplify y into y 2.054 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.054 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.054 * [taylor]: Taking taylor expansion of 4.0 in x 2.054 * [backup-simplify]: Simplify 4.0 into 4.0 2.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.054 * [taylor]: Taking taylor expansion of y in x 2.054 * [backup-simplify]: Simplify y into y 2.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.054 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.054 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.055 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.055 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 2.055 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0 2.055 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.056 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.056 * [taylor]: Taking taylor expansion of (- 1.0) in y 2.056 * [taylor]: Taking taylor expansion of 1.0 in y 2.056 * [backup-simplify]: Simplify 1.0 into 1.0 2.056 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.056 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.056 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.056 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.057 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0 2.058 * [backup-simplify]: Simplify (- 0) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [taylor]: Taking taylor expansion of 0 in y 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (- 0) into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.060 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.060 * [backup-simplify]: Simplify (* 1 1) into 1 2.060 * [backup-simplify]: Simplify (+ 0 1) into 1 2.061 * [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)))) 2.061 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2)))) 2.061 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow y 2))))) into (* 0.25 (/ 1 (pow y 2))) 2.062 * [backup-simplify]: Simplify (+ (/ 0.25 (pow y 2)) (* 0.25 (/ 1 (pow y 2)))) into (* 0.5 (/ 1 (pow y 2))) 2.062 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 2.062 * [taylor]: Taking taylor expansion of 0.5 in y 2.062 * [backup-simplify]: Simplify 0.5 into 0.5 2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.062 * [taylor]: Taking taylor expansion of y in y 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (* 1 1) into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.065 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.066 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 2.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [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 2.070 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25)))) into 0 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [taylor]: Taking taylor expansion of 0 in y 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.071 * [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 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) 2.071 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in (x y) around 0 2.071 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in y 2.071 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in y 2.071 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in y 2.071 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.071 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.071 * [taylor]: Taking taylor expansion of 4.0 in y 2.071 * [backup-simplify]: Simplify 4.0 into 4.0 2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.071 * [taylor]: Taking taylor expansion of y in y 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (* 1 1) into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.072 * [taylor]: Taking taylor expansion of x in y 2.072 * [backup-simplify]: Simplify x into x 2.072 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.072 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.072 * [taylor]: Taking taylor expansion of x in y 2.072 * [backup-simplify]: Simplify x into x 2.072 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.073 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.073 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.073 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 2.073 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 2.073 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in y 2.073 * [taylor]: Taking taylor expansion of 4.0 in y 2.073 * [backup-simplify]: Simplify 4.0 into 4.0 2.073 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 2.073 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 2.073 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.073 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.073 * [taylor]: Taking taylor expansion of 4.0 in y 2.073 * [backup-simplify]: Simplify 4.0 into 4.0 2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.073 * [taylor]: Taking taylor expansion of y in y 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (* 1 1) into 1 2.074 * [backup-simplify]: Simplify (/ 1 1) into 1 2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.074 * [taylor]: Taking taylor expansion of x in y 2.074 * [backup-simplify]: Simplify x into x 2.074 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.074 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.074 * [taylor]: Taking taylor expansion of y in y 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.074 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.075 * [backup-simplify]: Simplify (* 1 1) into 1 2.075 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.075 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 2.075 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 2.075 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 2.075 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.075 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.075 * [taylor]: Taking taylor expansion of 4.0 in x 2.075 * [backup-simplify]: Simplify 4.0 into 4.0 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.075 * [taylor]: Taking taylor expansion of y in x 2.075 * [backup-simplify]: Simplify y into y 2.075 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* 1 1) into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (+ 0 1) into 1 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in x 2.077 * [taylor]: Taking taylor expansion of 4.0 in x 2.077 * [backup-simplify]: Simplify 4.0 into 4.0 2.077 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 2.077 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 2.077 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.077 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.077 * [taylor]: Taking taylor expansion of 4.0 in x 2.077 * [backup-simplify]: Simplify 4.0 into 4.0 2.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.077 * [taylor]: Taking taylor expansion of y in x 2.077 * [backup-simplify]: Simplify y into y 2.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (* 1 1) into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.078 * [taylor]: Taking taylor expansion of y in x 2.078 * [backup-simplify]: Simplify y into y 2.078 * [backup-simplify]: Simplify (+ 0 1) into 1 2.078 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.078 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.078 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.078 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 2.079 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 2.079 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.079 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.079 * [taylor]: Taking taylor expansion of 4.0 in x 2.079 * [backup-simplify]: Simplify 4.0 into 4.0 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.079 * [taylor]: Taking taylor expansion of y in x 2.079 * [backup-simplify]: Simplify y into y 2.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.079 * [backup-simplify]: Simplify (* 1 1) into 1 2.079 * [backup-simplify]: Simplify (/ 1 1) into 1 2.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (+ 0 1) into 1 2.080 * [backup-simplify]: Simplify (* 1 1) into 1 2.080 * [backup-simplify]: Simplify (* 1 1) into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in x 2.081 * [taylor]: Taking taylor expansion of 4.0 in x 2.081 * [backup-simplify]: Simplify 4.0 into 4.0 2.081 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 2.081 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 2.081 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.081 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.081 * [taylor]: Taking taylor expansion of 4.0 in x 2.081 * [backup-simplify]: Simplify 4.0 into 4.0 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.081 * [taylor]: Taking taylor expansion of y in x 2.081 * [backup-simplify]: Simplify y into y 2.081 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.081 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (* 1 1) into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.081 * [taylor]: Taking taylor expansion of y in x 2.082 * [backup-simplify]: Simplify y into y 2.082 * [backup-simplify]: Simplify (+ 0 1) into 1 2.082 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.082 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.082 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.082 * [backup-simplify]: Simplify (+ 1 0) into 1 2.082 * [taylor]: Taking taylor expansion of 1 in y 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [taylor]: Taking taylor expansion of 0 in y 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.086 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) 1))) into (* 4.0 (/ 1 (pow y 2))) 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.089 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.089 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.090 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 2.090 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.090 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.090 * [taylor]: Taking taylor expansion of 8.0 in y 2.090 * [backup-simplify]: Simplify 8.0 into 8.0 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.090 * [taylor]: Taking taylor expansion of y in y 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (* 1 1) into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.095 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (* 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.100 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.100 * [backup-simplify]: Simplify (- 0) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [taylor]: Taking taylor expansion of 0 in y 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.102 * [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 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) 2.102 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in (x y) around 0 2.102 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in y 2.102 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in y 2.102 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in y 2.102 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.102 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.102 * [taylor]: Taking taylor expansion of 4.0 in y 2.102 * [backup-simplify]: Simplify 4.0 into 4.0 2.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.102 * [taylor]: Taking taylor expansion of y in y 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (* 1 1) into 1 2.103 * [backup-simplify]: Simplify (/ 1 1) into 1 2.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.103 * [taylor]: Taking taylor expansion of x in y 2.103 * [backup-simplify]: Simplify x into x 2.103 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.103 * [taylor]: Taking taylor expansion of x in y 2.103 * [backup-simplify]: Simplify x into x 2.104 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.104 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.104 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.104 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 2.105 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 2.105 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in y 2.105 * [taylor]: Taking taylor expansion of 4.0 in y 2.105 * [backup-simplify]: Simplify 4.0 into 4.0 2.105 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 2.105 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 2.105 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.105 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.105 * [taylor]: Taking taylor expansion of 4.0 in y 2.105 * [backup-simplify]: Simplify 4.0 into 4.0 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.105 * [taylor]: Taking taylor expansion of y in y 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (* 1 1) into 1 2.106 * [backup-simplify]: Simplify (/ 1 1) into 1 2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.106 * [taylor]: Taking taylor expansion of x in y 2.106 * [backup-simplify]: Simplify x into x 2.106 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.106 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.106 * [taylor]: Taking taylor expansion of y in y 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.107 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 2.107 * [backup-simplify]: Simplify (* 1 1) into 1 2.108 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.108 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 2.108 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in x 2.108 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 2.108 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 2.108 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.108 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.108 * [taylor]: Taking taylor expansion of 4.0 in x 2.108 * [backup-simplify]: Simplify 4.0 into 4.0 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.108 * [taylor]: Taking taylor expansion of y in x 2.108 * [backup-simplify]: Simplify y into y 2.108 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.108 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (* 1 1) into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (+ 0 1) into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.110 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in x 2.110 * [taylor]: Taking taylor expansion of 4.0 in x 2.110 * [backup-simplify]: Simplify 4.0 into 4.0 2.110 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 2.110 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 2.110 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.110 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.110 * [taylor]: Taking taylor expansion of 4.0 in x 2.110 * [backup-simplify]: Simplify 4.0 into 4.0 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.111 * [taylor]: Taking taylor expansion of y in x 2.111 * [backup-simplify]: Simplify y into y 2.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (* 1 1) into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.111 * [taylor]: Taking taylor expansion of y in x 2.111 * [backup-simplify]: Simplify y into y 2.112 * [backup-simplify]: Simplify (+ 0 1) into 1 2.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.112 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.112 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in x 2.112 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 2.112 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 2.112 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.112 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.112 * [taylor]: Taking taylor expansion of 4.0 in x 2.112 * [backup-simplify]: Simplify 4.0 into 4.0 2.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.112 * [taylor]: Taking taylor expansion of y in x 2.112 * [backup-simplify]: Simplify y into y 2.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.112 * [taylor]: Taking taylor expansion of x in x 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (* 1 1) into 1 2.113 * [backup-simplify]: Simplify (/ 1 1) into 1 2.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (+ 0 1) into 1 2.115 * [backup-simplify]: Simplify (* 1 1) into 1 2.115 * [backup-simplify]: Simplify (* 1 1) into 1 2.115 * [backup-simplify]: Simplify (/ 1 1) into 1 2.115 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in x 2.115 * [taylor]: Taking taylor expansion of 4.0 in x 2.115 * [backup-simplify]: Simplify 4.0 into 4.0 2.115 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 2.115 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 2.115 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.115 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.115 * [taylor]: Taking taylor expansion of 4.0 in x 2.115 * [backup-simplify]: Simplify 4.0 into 4.0 2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.115 * [taylor]: Taking taylor expansion of y in x 2.115 * [backup-simplify]: Simplify y into y 2.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.116 * [taylor]: Taking taylor expansion of x in x 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.116 * [backup-simplify]: Simplify (* 1 1) into 1 2.116 * [backup-simplify]: Simplify (/ 1 1) into 1 2.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.116 * [taylor]: Taking taylor expansion of y in x 2.116 * [backup-simplify]: Simplify y into y 2.116 * [backup-simplify]: Simplify (+ 0 1) into 1 2.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.117 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 2.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.117 * [backup-simplify]: Simplify (+ 1 0) into 1 2.117 * [taylor]: Taking taylor expansion of 1 in y 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [taylor]: Taking taylor expansion of 0 in y 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.120 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) 1))) into (* 4.0 (/ 1 (pow y 2))) 2.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.123 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.123 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 2.123 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 2.123 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 2.123 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 2.123 * [taylor]: Taking taylor expansion of 8.0 in y 2.123 * [backup-simplify]: Simplify 8.0 into 8.0 2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.123 * [taylor]: Taking taylor expansion of y in y 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (* 1 1) into 1 2.123 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (* 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ 0 0) into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 2.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.133 * [backup-simplify]: Simplify (- 0) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [taylor]: Taking taylor expansion of 0 in y 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.133 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.133 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in (x y) around 0 2.133 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 2.133 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.133 * [taylor]: Taking taylor expansion of 4.0 in y 2.133 * [backup-simplify]: Simplify 4.0 into 4.0 2.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.133 * [taylor]: Taking taylor expansion of y in y 2.133 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.134 * [taylor]: Taking taylor expansion of x in y 2.134 * [backup-simplify]: Simplify x into x 2.134 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.134 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.134 * [taylor]: Taking taylor expansion of 4.0 in x 2.134 * [backup-simplify]: Simplify 4.0 into 4.0 2.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.134 * [taylor]: Taking taylor expansion of y in x 2.134 * [backup-simplify]: Simplify y into y 2.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 2.134 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 2.134 * [taylor]: Taking taylor expansion of 4.0 in x 2.134 * [backup-simplify]: Simplify 4.0 into 4.0 2.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.134 * [taylor]: Taking taylor expansion of y in x 2.134 * [backup-simplify]: Simplify y into y 2.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.134 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 2.134 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 2.134 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 2.134 * [taylor]: Taking taylor expansion of 4.0 in y 2.134 * [backup-simplify]: Simplify 4.0 into 4.0 2.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.134 * [taylor]: Taking taylor expansion of y in y 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.135 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 2.135 * [backup-simplify]: Simplify (+ 0 0) into 0 2.135 * [taylor]: Taking taylor expansion of 0 in y 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.136 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.136 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (+ 0 1) into 1 2.136 * [taylor]: Taking taylor expansion of 1 in y 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify (* 1 1) into 1 2.137 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.137 * [backup-simplify]: Simplify 4.0 into 4.0 2.138 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.138 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [taylor]: Taking taylor expansion of 0 in y 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.140 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.143 * [taylor]: Taking taylor expansion of 0 in y 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.144 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 2.144 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 2.144 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.144 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.144 * [taylor]: Taking taylor expansion of 4.0 in y 2.144 * [backup-simplify]: Simplify 4.0 into 4.0 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.144 * [taylor]: Taking taylor expansion of y in y 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* 1 1) into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.145 * [taylor]: Taking taylor expansion of x in y 2.145 * [backup-simplify]: Simplify x into x 2.145 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.145 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.145 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.145 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.145 * [taylor]: Taking taylor expansion of 4.0 in x 2.145 * [backup-simplify]: Simplify 4.0 into 4.0 2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.146 * [taylor]: Taking taylor expansion of y in x 2.146 * [backup-simplify]: Simplify y into y 2.146 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.146 * [taylor]: Taking taylor expansion of x in x 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (* 1 1) into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.147 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.147 * [taylor]: Taking taylor expansion of 4.0 in x 2.147 * [backup-simplify]: Simplify 4.0 into 4.0 2.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.147 * [taylor]: Taking taylor expansion of y in x 2.147 * [backup-simplify]: Simplify y into y 2.147 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.147 * [taylor]: Taking taylor expansion of x in x 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (* 1 1) into 1 2.148 * [backup-simplify]: Simplify (/ 1 1) into 1 2.148 * [backup-simplify]: Simplify (+ 0 1) into 1 2.148 * [taylor]: Taking taylor expansion of 1 in y 2.148 * [backup-simplify]: Simplify 1 into 1 2.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [taylor]: Taking taylor expansion of 0 in y 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.152 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.152 * [taylor]: Taking taylor expansion of 4.0 in y 2.152 * [backup-simplify]: Simplify 4.0 into 4.0 2.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.152 * [taylor]: Taking taylor expansion of y in y 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 1 into 1 2.152 * [backup-simplify]: Simplify (* 1 1) into 1 2.153 * [backup-simplify]: Simplify (/ 1 1) into 1 2.153 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.153 * [backup-simplify]: Simplify 4.0 into 4.0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.154 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (+ 0 0) into 0 2.156 * [taylor]: Taking taylor expansion of 0 in y 2.156 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.160 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [taylor]: Taking taylor expansion of 0 in y 2.162 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.166 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 2.166 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 2.166 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.166 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.166 * [taylor]: Taking taylor expansion of 4.0 in y 2.166 * [backup-simplify]: Simplify 4.0 into 4.0 2.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.166 * [taylor]: Taking taylor expansion of y in y 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (* 1 1) into 1 2.167 * [backup-simplify]: Simplify (/ 1 1) into 1 2.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.167 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.167 * [taylor]: Taking taylor expansion of x in y 2.167 * [backup-simplify]: Simplify x into x 2.167 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.167 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.167 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.167 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.167 * [taylor]: Taking taylor expansion of 4.0 in x 2.167 * [backup-simplify]: Simplify 4.0 into 4.0 2.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.167 * [taylor]: Taking taylor expansion of y in x 2.167 * [backup-simplify]: Simplify y into y 2.167 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.168 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.168 * [taylor]: Taking taylor expansion of x in x 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [backup-simplify]: Simplify (* 1 1) into 1 2.169 * [backup-simplify]: Simplify (/ 1 1) into 1 2.169 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.169 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.169 * [taylor]: Taking taylor expansion of 4.0 in x 2.169 * [backup-simplify]: Simplify 4.0 into 4.0 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.169 * [taylor]: Taking taylor expansion of y in x 2.169 * [backup-simplify]: Simplify y into y 2.169 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.169 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.169 * [taylor]: Taking taylor expansion of x in x 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (* 1 1) into 1 2.170 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [backup-simplify]: Simplify (+ 0 1) into 1 2.170 * [taylor]: Taking taylor expansion of 1 in y 2.170 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [taylor]: Taking taylor expansion of 0 in y 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.174 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.174 * [taylor]: Taking taylor expansion of 4.0 in y 2.174 * [backup-simplify]: Simplify 4.0 into 4.0 2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.174 * [taylor]: Taking taylor expansion of y in y 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (* 1 1) into 1 2.175 * [backup-simplify]: Simplify (/ 1 1) into 1 2.175 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.175 * [backup-simplify]: Simplify 4.0 into 4.0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (+ 0 0) into 0 2.178 * [taylor]: Taking taylor expansion of 0 in y 2.178 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.182 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.184 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [taylor]: Taking taylor expansion of 0 in y 2.184 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.187 * * * [progress]: simplifying candidates 2.190 * [simplify]: Simplifying: (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) 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enodes 2.575 * * [simplify]: iteration 2: 3595 enodes 3.787 * * [simplify]: iteration complete: 5000 enodes 3.787 * * [simplify]: Extracting #0: cost 77 inf + 0 3.788 * * [simplify]: Extracting #1: cost 615 inf + 3 3.794 * * [simplify]: Extracting #2: cost 1986 inf + 8028 3.840 * * [simplify]: Extracting #3: cost 831 inf + 215835 3.917 * * [simplify]: Extracting #4: cost 63 inf + 397937 4.032 * * [simplify]: Extracting #5: cost 0 inf + 420833 4.147 * [simplify]: Simplified to: (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* (/ (* (* x x) x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* x x) x) (+ (* x x) (* (* 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))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) 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(* (* 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 (/ (* x x) (+ (* 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)))) (/ x (sqrt (+ (* 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) (+ (* (* x (* x x)) (* x (* x x))) (* (* (* y 4.0) y) (* (* (* y 4.0) y) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (+ (* (* x (* x x)) (* x (* x x))) (* (* (* y 4.0) y) (* (* (* y 4.0) y) (* (* y 4.0) y)))))) (- (/ (* x x) (* (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (* (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (- (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (exp (+ (* (* y 4.0) y) (* x x))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* (* y 4.0) y) (* x x))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (* (* x (* x x)) (* x (* x x))) (* (* (* y 4.0) y) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (+ (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x))) (* (* x x) (* x x))) (* (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) 0 0 0 0 0 0 (- 1.0) 1 1 (+ (* 4.0 (* y y)) (* x x)) (+ (* 4.0 (* y y)) (* x x)) (+ (* 4.0 (* y y)) (* x x)) 4.157 * * * [progress]: adding candidates to table 4.520 * * [progress]: iteration 4 / 4 4.520 * * * [progress]: picking best candidate 4.537 * * * * [pick]: Picked # 4.538 * * * [progress]: localizing error 4.579 * * * [progress]: generating rewritten candidates 4.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.607 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 4.641 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.659 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.794 * * * [progress]: generating series expansions 4.794 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.795 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) 4.795 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0 4.795 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.795 * [taylor]: Taking taylor expansion of x in y 4.795 * [backup-simplify]: Simplify x into x 4.795 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.795 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.795 * [taylor]: Taking taylor expansion of 4.0 in y 4.795 * [backup-simplify]: Simplify 4.0 into 4.0 4.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.795 * [taylor]: Taking taylor expansion of y in y 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 1 into 1 4.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.795 * [taylor]: Taking taylor expansion of x in y 4.795 * [backup-simplify]: Simplify x into x 4.795 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.795 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.795 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.796 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.796 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.796 * [taylor]: Taking taylor expansion of x in x 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.796 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.796 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.796 * [taylor]: Taking taylor expansion of 4.0 in x 4.796 * [backup-simplify]: Simplify 4.0 into 4.0 4.796 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.796 * [taylor]: Taking taylor expansion of y in x 4.796 * [backup-simplify]: Simplify y into y 4.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.796 * [taylor]: Taking taylor expansion of x in x 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (* 1 1) into 1 4.797 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.797 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.797 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.797 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 4.797 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.797 * [taylor]: Taking taylor expansion of x in x 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.798 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.798 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.798 * [taylor]: Taking taylor expansion of 4.0 in x 4.798 * [backup-simplify]: Simplify 4.0 into 4.0 4.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.798 * [taylor]: Taking taylor expansion of y in x 4.798 * [backup-simplify]: Simplify y into y 4.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.798 * [taylor]: Taking taylor expansion of x in x 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.798 * [backup-simplify]: Simplify (* 1 1) into 1 4.798 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.798 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.799 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.799 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 4.799 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 4.799 * [taylor]: Taking taylor expansion of 0.25 in y 4.799 * [backup-simplify]: Simplify 0.25 into 0.25 4.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.799 * [taylor]: Taking taylor expansion of y in y 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [backup-simplify]: Simplify (* 1 1) into 1 4.800 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 4.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.804 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.804 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.805 * [backup-simplify]: Simplify (+ 0 0) into 0 4.805 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 4.805 * [taylor]: Taking taylor expansion of 0 in y 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.807 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.808 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.809 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.810 * [backup-simplify]: Simplify (* 1 1) into 1 4.810 * [backup-simplify]: Simplify (+ 0 1) into 1 4.811 * [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)))) 4.811 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 4.811 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 4.811 * [taylor]: Taking taylor expansion of 0.0625 in y 4.811 * [backup-simplify]: Simplify 0.0625 into 0.0625 4.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.811 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.811 * [taylor]: Taking taylor expansion of y in y 4.811 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify 1 into 1 4.811 * [backup-simplify]: Simplify (* 1 1) into 1 4.812 * [backup-simplify]: Simplify (* 1 1) into 1 4.812 * [backup-simplify]: Simplify (/ 1 1) into 1 4.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.823 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.823 * [backup-simplify]: Simplify (- 0) into 0 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) 4.826 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in (x y) around 0 4.826 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in y 4.826 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in y 4.826 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.826 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.826 * [taylor]: Taking taylor expansion of 4.0 in y 4.826 * [backup-simplify]: Simplify 4.0 into 4.0 4.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.826 * [taylor]: Taking taylor expansion of y in y 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (* 1 1) into 1 4.827 * [backup-simplify]: Simplify (/ 1 1) into 1 4.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.827 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.827 * [taylor]: Taking taylor expansion of x in y 4.827 * [backup-simplify]: Simplify x into x 4.827 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.827 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.827 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.827 * [taylor]: Taking taylor expansion of x in y 4.827 * [backup-simplify]: Simplify x into x 4.828 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.828 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.828 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.828 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 4.829 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 4.829 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 4.829 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 4.829 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.829 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.829 * [taylor]: Taking taylor expansion of 4.0 in x 4.829 * [backup-simplify]: Simplify 4.0 into 4.0 4.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.829 * [taylor]: Taking taylor expansion of y in x 4.829 * [backup-simplify]: Simplify y into y 4.829 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.829 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.829 * [taylor]: Taking taylor expansion of x in x 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.830 * [backup-simplify]: Simplify (* 1 1) into 1 4.830 * [backup-simplify]: Simplify (/ 1 1) into 1 4.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.830 * [taylor]: Taking taylor expansion of x in x 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 1 into 1 4.830 * [backup-simplify]: Simplify (+ 0 1) into 1 4.831 * [backup-simplify]: Simplify (* 1 1) into 1 4.831 * [backup-simplify]: Simplify (* 1 1) into 1 4.831 * [backup-simplify]: Simplify (/ 1 1) into 1 4.831 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 4.832 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 4.832 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.832 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.832 * [taylor]: Taking taylor expansion of 4.0 in x 4.832 * [backup-simplify]: Simplify 4.0 into 4.0 4.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.832 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.832 * [taylor]: Taking taylor expansion of y in x 4.832 * [backup-simplify]: Simplify y into y 4.832 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.832 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.832 * [taylor]: Taking taylor expansion of x in x 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (* 1 1) into 1 4.833 * [backup-simplify]: Simplify (/ 1 1) into 1 4.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.833 * [taylor]: Taking taylor expansion of x in x 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [backup-simplify]: Simplify (+ 0 1) into 1 4.834 * [backup-simplify]: Simplify (* 1 1) into 1 4.834 * [backup-simplify]: Simplify (* 1 1) into 1 4.834 * [backup-simplify]: Simplify (/ 1 1) into 1 4.834 * [taylor]: Taking taylor expansion of 1 in y 4.834 * [backup-simplify]: Simplify 1 into 1 4.834 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.837 * [backup-simplify]: Simplify (+ 0 0) into 0 4.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.838 * [taylor]: Taking taylor expansion of 0 in y 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.840 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.841 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) 1))) into (* 4.0 (/ 1 (pow y 2))) 4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.843 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.843 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.843 * [taylor]: Taking taylor expansion of 4.0 in y 4.843 * [backup-simplify]: Simplify 4.0 into 4.0 4.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.843 * [taylor]: Taking taylor expansion of y in y 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.844 * [backup-simplify]: Simplify (* 1 1) into 1 4.844 * [backup-simplify]: Simplify (/ 1 1) into 1 4.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.852 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.852 * [backup-simplify]: Simplify (- 0) into 0 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) 4.853 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in (x y) around 0 4.853 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in y 4.853 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in y 4.853 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.853 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.853 * [taylor]: Taking taylor expansion of 4.0 in y 4.853 * [backup-simplify]: Simplify 4.0 into 4.0 4.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.853 * [taylor]: Taking taylor expansion of y in y 4.853 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 1 into 1 4.854 * [backup-simplify]: Simplify (* 1 1) into 1 4.854 * [backup-simplify]: Simplify (/ 1 1) into 1 4.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.854 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.854 * [taylor]: Taking taylor expansion of x in y 4.854 * [backup-simplify]: Simplify x into x 4.854 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.855 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.855 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.855 * [taylor]: Taking taylor expansion of x in y 4.855 * [backup-simplify]: Simplify x into x 4.855 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.856 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.856 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.856 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 4.856 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 4.856 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 4.856 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 4.856 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.856 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.856 * [taylor]: Taking taylor expansion of 4.0 in x 4.856 * [backup-simplify]: Simplify 4.0 into 4.0 4.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.856 * [taylor]: Taking taylor expansion of y in x 4.856 * [backup-simplify]: Simplify y into y 4.856 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.856 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.856 * [taylor]: Taking taylor expansion of x in x 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify (* 1 1) into 1 4.857 * [backup-simplify]: Simplify (/ 1 1) into 1 4.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.857 * [taylor]: Taking taylor expansion of x in x 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify (+ 0 1) into 1 4.857 * [backup-simplify]: Simplify (* 1 1) into 1 4.858 * [backup-simplify]: Simplify (* 1 1) into 1 4.858 * [backup-simplify]: Simplify (/ 1 1) into 1 4.858 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 4.858 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 4.858 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.858 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.858 * [taylor]: Taking taylor expansion of 4.0 in x 4.858 * [backup-simplify]: Simplify 4.0 into 4.0 4.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.858 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.858 * [taylor]: Taking taylor expansion of y in x 4.858 * [backup-simplify]: Simplify y into y 4.859 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.859 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.859 * [taylor]: Taking taylor expansion of x in x 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [backup-simplify]: Simplify (* 1 1) into 1 4.859 * [backup-simplify]: Simplify (/ 1 1) into 1 4.860 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.860 * [taylor]: Taking taylor expansion of x in x 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 1 into 1 4.860 * [backup-simplify]: Simplify (+ 0 1) into 1 4.860 * [backup-simplify]: Simplify (* 1 1) into 1 4.861 * [backup-simplify]: Simplify (* 1 1) into 1 4.861 * [backup-simplify]: Simplify (/ 1 1) into 1 4.861 * [taylor]: Taking taylor expansion of 1 in y 4.861 * [backup-simplify]: Simplify 1 into 1 4.861 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.863 * [backup-simplify]: Simplify (+ 0 0) into 0 4.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.863 * [taylor]: Taking taylor expansion of 0 in y 4.863 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.864 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.865 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) 1))) into (* 4.0 (/ 1 (pow y 2))) 4.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.867 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.867 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.867 * [taylor]: Taking taylor expansion of 4.0 in y 4.867 * [backup-simplify]: Simplify 4.0 into 4.0 4.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.867 * [taylor]: Taking taylor expansion of y in y 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (* 1 1) into 1 4.868 * [backup-simplify]: Simplify (/ 1 1) into 1 4.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.876 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.876 * [backup-simplify]: Simplify (- 0) into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 4.877 * [backup-simplify]: Simplify (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) into (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) 4.877 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in (y x) around 0 4.877 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in x 4.877 * [taylor]: Taking taylor expansion of 4.0 in x 4.877 * [backup-simplify]: Simplify 4.0 into 4.0 4.877 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.877 * [taylor]: Taking taylor expansion of y in x 4.877 * [backup-simplify]: Simplify y into y 4.877 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.877 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.877 * [taylor]: Taking taylor expansion of 4.0 in x 4.877 * [backup-simplify]: Simplify 4.0 into 4.0 4.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.877 * [taylor]: Taking taylor expansion of y in x 4.877 * [backup-simplify]: Simplify y into y 4.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.877 * [taylor]: Taking taylor expansion of x in x 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 1 into 1 4.877 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.878 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.878 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.878 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.878 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 4.878 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in y 4.878 * [taylor]: Taking taylor expansion of 4.0 in y 4.878 * [backup-simplify]: Simplify 4.0 into 4.0 4.878 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.878 * [taylor]: Taking taylor expansion of y in y 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.878 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.878 * [taylor]: Taking taylor expansion of 4.0 in y 4.878 * [backup-simplify]: Simplify 4.0 into 4.0 4.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.878 * [taylor]: Taking taylor expansion of y in y 4.878 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 1 into 1 4.879 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.879 * [taylor]: Taking taylor expansion of x in y 4.879 * [backup-simplify]: Simplify x into x 4.879 * [backup-simplify]: Simplify (* 1 1) into 1 4.879 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.879 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.879 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.879 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in y 4.879 * [taylor]: Taking taylor expansion of 4.0 in y 4.879 * [backup-simplify]: Simplify 4.0 into 4.0 4.879 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.880 * [taylor]: Taking taylor expansion of y in y 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 1 into 1 4.880 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.880 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.880 * [taylor]: Taking taylor expansion of 4.0 in y 4.880 * [backup-simplify]: Simplify 4.0 into 4.0 4.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.880 * [taylor]: Taking taylor expansion of y in y 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 1 into 1 4.880 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.880 * [taylor]: Taking taylor expansion of x in y 4.880 * [backup-simplify]: Simplify x into x 4.880 * [backup-simplify]: Simplify (* 1 1) into 1 4.880 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.880 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.881 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.881 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 4.881 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 4.881 * [taylor]: Taking taylor expansion of 4.0 in x 4.881 * [backup-simplify]: Simplify 4.0 into 4.0 4.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.881 * [taylor]: Taking taylor expansion of x in x 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 1 into 1 4.881 * [backup-simplify]: Simplify (* 1 1) into 1 4.882 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 4.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.885 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.886 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.886 * [backup-simplify]: Simplify (+ 0 0) into 0 4.887 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.887 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 4.887 * [taylor]: Taking taylor expansion of 0 in x 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.890 * [backup-simplify]: Simplify (* 1 1) into 1 4.891 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.891 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.892 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.892 * [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)))) 4.893 * [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)))) 4.893 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 4.893 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 4.893 * [taylor]: Taking taylor expansion of 16.0 in x 4.893 * [backup-simplify]: Simplify 16.0 into 16.0 4.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.893 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.893 * [taylor]: Taking taylor expansion of x in x 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (* 1 1) into 1 4.894 * [backup-simplify]: Simplify (* 1 1) into 1 4.894 * [backup-simplify]: Simplify (/ 1 1) into 1 4.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.907 * [backup-simplify]: Simplify (- 0) into 0 4.907 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.909 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) 4.910 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in (y x) around 0 4.910 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 4.910 * [taylor]: Taking taylor expansion of 4.0 in x 4.910 * [backup-simplify]: Simplify 4.0 into 4.0 4.910 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 4.910 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.910 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.910 * [taylor]: Taking taylor expansion of 4.0 in x 4.910 * [backup-simplify]: Simplify 4.0 into 4.0 4.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.910 * [taylor]: Taking taylor expansion of y in x 4.910 * [backup-simplify]: Simplify y into y 4.910 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.911 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.911 * [taylor]: Taking taylor expansion of x in x 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (* 1 1) into 1 4.911 * [backup-simplify]: Simplify (/ 1 1) into 1 4.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.911 * [taylor]: Taking taylor expansion of y in x 4.911 * [backup-simplify]: Simplify y into y 4.912 * [backup-simplify]: Simplify (+ 0 1) into 1 4.912 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.912 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.912 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 4.912 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 4.912 * [taylor]: Taking taylor expansion of 4.0 in y 4.912 * [backup-simplify]: Simplify 4.0 into 4.0 4.912 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 4.912 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.912 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.912 * [taylor]: Taking taylor expansion of 4.0 in y 4.912 * [backup-simplify]: Simplify 4.0 into 4.0 4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.912 * [taylor]: Taking taylor expansion of y in y 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.913 * [backup-simplify]: Simplify (* 1 1) into 1 4.913 * [backup-simplify]: Simplify (/ 1 1) into 1 4.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.913 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.913 * [taylor]: Taking taylor expansion of x in y 4.913 * [backup-simplify]: Simplify x into x 4.913 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.913 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.913 * [taylor]: Taking taylor expansion of y in y 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.914 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.915 * [backup-simplify]: Simplify (* 1 1) into 1 4.915 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.915 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 4.915 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 4.915 * [taylor]: Taking taylor expansion of 4.0 in y 4.916 * [backup-simplify]: Simplify 4.0 into 4.0 4.916 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 4.916 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.916 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.916 * [taylor]: Taking taylor expansion of 4.0 in y 4.916 * [backup-simplify]: Simplify 4.0 into 4.0 4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.916 * [taylor]: Taking taylor expansion of y in y 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (* 1 1) into 1 4.916 * [backup-simplify]: Simplify (/ 1 1) into 1 4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.917 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.917 * [taylor]: Taking taylor expansion of x in y 4.917 * [backup-simplify]: Simplify x into x 4.917 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.917 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.917 * [taylor]: Taking taylor expansion of y in y 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.918 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.918 * [backup-simplify]: Simplify (* 1 1) into 1 4.918 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.919 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 4.919 * [taylor]: Taking taylor expansion of 1.0 in x 4.919 * [backup-simplify]: Simplify 1.0 into 1.0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.921 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.922 * [backup-simplify]: Simplify (+ 0 0) into 0 4.922 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.923 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 4.923 * [taylor]: Taking taylor expansion of 0 in x 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.927 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 4.928 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 4.929 * [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)))) 4.930 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 4.930 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 4.930 * [taylor]: Taking taylor expansion of 0.25 in x 4.930 * [backup-simplify]: Simplify 0.25 into 0.25 4.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.930 * [taylor]: Taking taylor expansion of x in x 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (* 1 1) into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.939 * [backup-simplify]: Simplify (- 0) into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) 4.940 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in (y x) around 0 4.940 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 4.940 * [taylor]: Taking taylor expansion of 4.0 in x 4.940 * [backup-simplify]: Simplify 4.0 into 4.0 4.940 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 4.940 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.940 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.940 * [taylor]: Taking taylor expansion of 4.0 in x 4.940 * [backup-simplify]: Simplify 4.0 into 4.0 4.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.940 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.940 * [taylor]: Taking taylor expansion of y in x 4.940 * [backup-simplify]: Simplify y into y 4.941 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.941 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.941 * [taylor]: Taking taylor expansion of x in x 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (* 1 1) into 1 4.942 * [backup-simplify]: Simplify (/ 1 1) into 1 4.942 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.942 * [taylor]: Taking taylor expansion of y in x 4.942 * [backup-simplify]: Simplify y into y 4.942 * [backup-simplify]: Simplify (+ 0 1) into 1 4.942 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.942 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.942 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 4.942 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 4.942 * [taylor]: Taking taylor expansion of 4.0 in y 4.942 * [backup-simplify]: Simplify 4.0 into 4.0 4.943 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 4.943 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.943 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.943 * [taylor]: Taking taylor expansion of 4.0 in y 4.943 * [backup-simplify]: Simplify 4.0 into 4.0 4.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.943 * [taylor]: Taking taylor expansion of y in y 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 1 into 1 4.943 * [backup-simplify]: Simplify (* 1 1) into 1 4.943 * [backup-simplify]: Simplify (/ 1 1) into 1 4.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.944 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.944 * [taylor]: Taking taylor expansion of x in y 4.944 * [backup-simplify]: Simplify x into x 4.944 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.944 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.944 * [taylor]: Taking taylor expansion of y in y 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 1 into 1 4.944 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.945 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.945 * [backup-simplify]: Simplify (* 1 1) into 1 4.946 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.946 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 4.946 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 4.946 * [taylor]: Taking taylor expansion of 4.0 in y 4.946 * [backup-simplify]: Simplify 4.0 into 4.0 4.946 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 4.946 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.946 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.946 * [taylor]: Taking taylor expansion of 4.0 in y 4.946 * [backup-simplify]: Simplify 4.0 into 4.0 4.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.946 * [taylor]: Taking taylor expansion of y in y 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.947 * [backup-simplify]: Simplify (* 1 1) into 1 4.947 * [backup-simplify]: Simplify (/ 1 1) into 1 4.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.947 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.947 * [taylor]: Taking taylor expansion of x in y 4.947 * [backup-simplify]: Simplify x into x 4.947 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.947 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.947 * [taylor]: Taking taylor expansion of y in y 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 1 into 1 4.948 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.948 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.949 * [backup-simplify]: Simplify (* 1 1) into 1 4.949 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.949 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 4.950 * [taylor]: Taking taylor expansion of 1.0 in x 4.950 * [backup-simplify]: Simplify 1.0 into 1.0 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.952 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.953 * [backup-simplify]: Simplify (+ 0 0) into 0 4.953 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.954 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 4.954 * [taylor]: Taking taylor expansion of 0 in x 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.958 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.958 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 4.959 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 4.961 * [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)))) 4.961 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 4.961 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 4.961 * [taylor]: Taking taylor expansion of 0.25 in x 4.961 * [backup-simplify]: Simplify 0.25 into 0.25 4.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.961 * [taylor]: Taking taylor expansion of x in x 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.961 * [backup-simplify]: Simplify (* 1 1) into 1 4.962 * [backup-simplify]: Simplify (/ 1 1) into 1 4.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.967 * [backup-simplify]: Simplify (- 0) into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.967 * [backup-simplify]: Simplify (log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) into (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) 4.967 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in (y x) around 0 4.967 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in x 4.967 * [taylor]: Taking taylor expansion of 4.0 in x 4.967 * [backup-simplify]: Simplify 4.0 into 4.0 4.967 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.967 * [taylor]: Taking taylor expansion of y in x 4.967 * [backup-simplify]: Simplify y into y 4.967 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.967 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.967 * [taylor]: Taking taylor expansion of 4.0 in x 4.967 * [backup-simplify]: Simplify 4.0 into 4.0 4.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.967 * [taylor]: Taking taylor expansion of y in x 4.967 * [backup-simplify]: Simplify y into y 4.967 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.967 * [taylor]: Taking taylor expansion of x in x 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 1 into 1 4.967 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.968 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.968 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.968 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.968 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 4.968 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in y 4.968 * [taylor]: Taking taylor expansion of 4.0 in y 4.968 * [backup-simplify]: Simplify 4.0 into 4.0 4.968 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.968 * [taylor]: Taking taylor expansion of y in y 4.968 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.968 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.968 * [taylor]: Taking taylor expansion of 4.0 in y 4.968 * [backup-simplify]: Simplify 4.0 into 4.0 4.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.968 * [taylor]: Taking taylor expansion of y in y 4.968 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.968 * [taylor]: Taking taylor expansion of x in y 4.968 * [backup-simplify]: Simplify x into x 4.968 * [backup-simplify]: Simplify (* 1 1) into 1 4.968 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.969 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.969 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.969 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in y 4.969 * [taylor]: Taking taylor expansion of 4.0 in y 4.969 * [backup-simplify]: Simplify 4.0 into 4.0 4.969 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.969 * [taylor]: Taking taylor expansion of y in y 4.969 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify 1 into 1 4.969 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.969 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.969 * [taylor]: Taking taylor expansion of 4.0 in y 4.969 * [backup-simplify]: Simplify 4.0 into 4.0 4.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.969 * [taylor]: Taking taylor expansion of y in y 4.969 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify 1 into 1 4.969 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.969 * [taylor]: Taking taylor expansion of x in y 4.969 * [backup-simplify]: Simplify x into x 4.969 * [backup-simplify]: Simplify (* 1 1) into 1 4.969 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.969 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.969 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.970 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 4.970 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 4.970 * [taylor]: Taking taylor expansion of 4.0 in x 4.970 * [backup-simplify]: Simplify 4.0 into 4.0 4.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.970 * [taylor]: Taking taylor expansion of x in x 4.970 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [backup-simplify]: Simplify (* 1 1) into 1 4.970 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 4.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.973 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.973 * [backup-simplify]: Simplify (+ 0 0) into 0 4.973 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.974 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 4.974 * [taylor]: Taking taylor expansion of 0 in x 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.976 * [backup-simplify]: Simplify (* 1 1) into 1 4.976 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.976 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.976 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.977 * [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)))) 4.977 * [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)))) 4.977 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 4.977 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 4.977 * [taylor]: Taking taylor expansion of 16.0 in x 4.977 * [backup-simplify]: Simplify 16.0 into 16.0 4.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.977 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.977 * [taylor]: Taking taylor expansion of x in x 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.978 * [backup-simplify]: Simplify (* 1 1) into 1 4.978 * [backup-simplify]: Simplify (* 1 1) into 1 4.978 * [backup-simplify]: Simplify (/ 1 1) into 1 4.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.985 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.986 * [backup-simplify]: Simplify (- 0) into 0 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify (log (exp (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))))) into (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) 4.988 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in (y x) around 0 4.988 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 4.988 * [taylor]: Taking taylor expansion of 4.0 in x 4.988 * [backup-simplify]: Simplify 4.0 into 4.0 4.988 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 4.988 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.988 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.988 * [taylor]: Taking taylor expansion of 4.0 in x 4.988 * [backup-simplify]: Simplify 4.0 into 4.0 4.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.988 * [taylor]: Taking taylor expansion of y in x 4.988 * [backup-simplify]: Simplify y into y 4.988 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.988 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.988 * [taylor]: Taking taylor expansion of x in x 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.988 * [backup-simplify]: Simplify (* 1 1) into 1 4.988 * [backup-simplify]: Simplify (/ 1 1) into 1 4.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.988 * [taylor]: Taking taylor expansion of y in x 4.988 * [backup-simplify]: Simplify y into y 4.989 * [backup-simplify]: Simplify (+ 0 1) into 1 4.989 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.989 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.989 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 4.989 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 4.989 * [taylor]: Taking taylor expansion of 4.0 in y 4.989 * [backup-simplify]: Simplify 4.0 into 4.0 4.989 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 4.989 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.989 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.989 * [taylor]: Taking taylor expansion of 4.0 in y 4.989 * [backup-simplify]: Simplify 4.0 into 4.0 4.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.989 * [taylor]: Taking taylor expansion of y in y 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 1 into 1 4.989 * [backup-simplify]: Simplify (* 1 1) into 1 4.990 * [backup-simplify]: Simplify (/ 1 1) into 1 4.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.990 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.990 * [taylor]: Taking taylor expansion of x in y 4.990 * [backup-simplify]: Simplify x into x 4.990 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.990 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.990 * [taylor]: Taking taylor expansion of y in y 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.990 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.991 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.991 * [backup-simplify]: Simplify (* 1 1) into 1 4.991 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.991 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 4.991 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 4.991 * [taylor]: Taking taylor expansion of 4.0 in y 4.991 * [backup-simplify]: Simplify 4.0 into 4.0 4.991 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 4.991 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.991 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.991 * [taylor]: Taking taylor expansion of 4.0 in y 4.991 * [backup-simplify]: Simplify 4.0 into 4.0 4.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.991 * [taylor]: Taking taylor expansion of y in y 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [backup-simplify]: Simplify (* 1 1) into 1 4.992 * [backup-simplify]: Simplify (/ 1 1) into 1 4.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.992 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.992 * [taylor]: Taking taylor expansion of x in y 4.992 * [backup-simplify]: Simplify x into x 4.992 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.992 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.992 * [taylor]: Taking taylor expansion of y in y 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 1 into 1 4.993 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.993 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.993 * [backup-simplify]: Simplify (* 1 1) into 1 4.993 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.994 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 4.994 * [taylor]: Taking taylor expansion of 1.0 in x 4.994 * [backup-simplify]: Simplify 1.0 into 1.0 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.995 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.996 * [backup-simplify]: Simplify (+ 0 0) into 0 4.996 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.997 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 4.997 * [taylor]: Taking taylor expansion of 0 in x 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.000 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 5.000 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.001 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 5.001 * [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)))) 5.002 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 5.002 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 5.002 * [taylor]: Taking taylor expansion of 0.25 in x 5.002 * [backup-simplify]: Simplify 0.25 into 0.25 5.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.002 * [taylor]: Taking taylor expansion of x in x 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify 1 into 1 5.002 * [backup-simplify]: Simplify (* 1 1) into 1 5.002 * [backup-simplify]: Simplify (/ 1 1) into 1 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.010 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.011 * [backup-simplify]: Simplify (- 0) into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify (log (exp (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))))) into (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) 5.011 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in (y x) around 0 5.011 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 5.011 * [taylor]: Taking taylor expansion of 4.0 in x 5.012 * [backup-simplify]: Simplify 4.0 into 4.0 5.012 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 5.012 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.012 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.012 * [taylor]: Taking taylor expansion of 4.0 in x 5.012 * [backup-simplify]: Simplify 4.0 into 4.0 5.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.012 * [taylor]: Taking taylor expansion of y in x 5.012 * [backup-simplify]: Simplify y into y 5.012 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.012 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.012 * [taylor]: Taking taylor expansion of x in x 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (* 1 1) into 1 5.013 * [backup-simplify]: Simplify (/ 1 1) into 1 5.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.013 * [taylor]: Taking taylor expansion of y in x 5.013 * [backup-simplify]: Simplify y into y 5.013 * [backup-simplify]: Simplify (+ 0 1) into 1 5.013 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.013 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 5.013 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 5.014 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 5.014 * [taylor]: Taking taylor expansion of 4.0 in y 5.014 * [backup-simplify]: Simplify 4.0 into 4.0 5.014 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 5.014 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.014 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.014 * [taylor]: Taking taylor expansion of 4.0 in y 5.014 * [backup-simplify]: Simplify 4.0 into 4.0 5.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.014 * [taylor]: Taking taylor expansion of y in y 5.014 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify 1 into 1 5.014 * [backup-simplify]: Simplify (* 1 1) into 1 5.014 * [backup-simplify]: Simplify (/ 1 1) into 1 5.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.015 * [taylor]: Taking taylor expansion of x in y 5.015 * [backup-simplify]: Simplify x into x 5.015 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.015 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.015 * [taylor]: Taking taylor expansion of y in y 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 1 into 1 5.015 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.016 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 5.018 * [backup-simplify]: Simplify (* 1 1) into 1 5.018 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.019 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 5.019 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 5.019 * [taylor]: Taking taylor expansion of 4.0 in y 5.019 * [backup-simplify]: Simplify 4.0 into 4.0 5.019 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 5.019 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.019 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.019 * [taylor]: Taking taylor expansion of 4.0 in y 5.019 * [backup-simplify]: Simplify 4.0 into 4.0 5.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.019 * [taylor]: Taking taylor expansion of y in y 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.019 * [backup-simplify]: Simplify (* 1 1) into 1 5.020 * [backup-simplify]: Simplify (/ 1 1) into 1 5.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.020 * [taylor]: Taking taylor expansion of x in y 5.020 * [backup-simplify]: Simplify x into x 5.020 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.020 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.020 * [taylor]: Taking taylor expansion of y in y 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.020 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.021 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 5.021 * [backup-simplify]: Simplify (* 1 1) into 1 5.022 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.022 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 5.022 * [taylor]: Taking taylor expansion of 1.0 in x 5.022 * [backup-simplify]: Simplify 1.0 into 1.0 5.022 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 5.025 * [backup-simplify]: Simplify (+ 0 0) into 0 5.026 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 5.026 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 5.026 * [taylor]: Taking taylor expansion of 0 in x 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 5.030 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.031 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 5.032 * [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)))) 5.032 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 5.032 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 5.032 * [taylor]: Taking taylor expansion of 0.25 in x 5.032 * [backup-simplify]: Simplify 0.25 into 0.25 5.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.032 * [taylor]: Taking taylor expansion of x in x 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 1 into 1 5.032 * [backup-simplify]: Simplify (* 1 1) into 1 5.033 * [backup-simplify]: Simplify (/ 1 1) into 1 5.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.038 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.038 * [backup-simplify]: Simplify (- 0) into 0 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.039 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (log (exp (/ (* (* 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) (+ (* 4.0 (pow y 2)) (pow x 2))))) 5.039 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))))) in (x y) around 0 5.039 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))))) in y 5.039 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 5.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.039 * [taylor]: Taking taylor expansion of x in y 5.039 * [backup-simplify]: Simplify x into x 5.039 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 5.039 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 5.039 * [taylor]: Taking taylor expansion of 4.0 in y 5.039 * [backup-simplify]: Simplify 4.0 into 4.0 5.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.039 * [taylor]: Taking taylor expansion of y in y 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 1 into 1 5.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.039 * [taylor]: Taking taylor expansion of x in y 5.039 * [backup-simplify]: Simplify x into x 5.039 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.039 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.039 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.039 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 5.039 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in y 5.039 * [taylor]: Taking taylor expansion of 4.0 in y 5.039 * [backup-simplify]: Simplify 4.0 into 4.0 5.039 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 5.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.040 * [taylor]: Taking taylor expansion of y in y 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 1 into 1 5.040 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 5.040 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 5.040 * [taylor]: Taking taylor expansion of 4.0 in y 5.040 * [backup-simplify]: Simplify 4.0 into 4.0 5.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.040 * [taylor]: Taking taylor expansion of y in y 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 1 into 1 5.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.040 * [taylor]: Taking taylor expansion of x in y 5.040 * [backup-simplify]: Simplify x into x 5.040 * [backup-simplify]: Simplify (* 1 1) into 1 5.040 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.040 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.040 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.040 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))))) in x 5.040 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 5.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.040 * [taylor]: Taking taylor expansion of x in x 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 1 into 1 5.040 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 5.040 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 5.040 * [taylor]: Taking taylor expansion of 4.0 in x 5.040 * [backup-simplify]: Simplify 4.0 into 4.0 5.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.040 * [taylor]: Taking taylor expansion of y in x 5.040 * [backup-simplify]: Simplify y into y 5.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.040 * [taylor]: Taking taylor expansion of x in x 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 1 into 1 5.041 * [backup-simplify]: Simplify (* 1 1) into 1 5.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.041 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 5.041 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 5.041 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 5.041 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in x 5.041 * [taylor]: Taking taylor expansion of 4.0 in x 5.041 * [backup-simplify]: Simplify 4.0 into 4.0 5.041 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 5.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.041 * [taylor]: Taking taylor expansion of y in x 5.041 * [backup-simplify]: Simplify y into y 5.041 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 5.041 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 5.041 * [taylor]: Taking taylor expansion of 4.0 in x 5.041 * [backup-simplify]: Simplify 4.0 into 4.0 5.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.041 * [taylor]: Taking taylor expansion of y in x 5.041 * [backup-simplify]: Simplify y into y 5.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.041 * [taylor]: Taking taylor expansion of x in x 5.041 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify 1 into 1 5.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.042 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 5.042 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 5.042 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 5.042 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))))) in x 5.042 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 5.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.042 * [taylor]: Taking taylor expansion of x in x 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 1 into 1 5.042 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 5.042 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 5.042 * [taylor]: Taking taylor expansion of 4.0 in x 5.042 * [backup-simplify]: Simplify 4.0 into 4.0 5.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.042 * [taylor]: Taking taylor expansion of y in x 5.042 * [backup-simplify]: Simplify y into y 5.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.042 * [taylor]: Taking taylor expansion of x in x 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 1 into 1 5.042 * [backup-simplify]: Simplify (* 1 1) into 1 5.042 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.042 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 5.043 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 5.043 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 5.043 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2)))) in x 5.043 * [taylor]: Taking taylor expansion of 4.0 in x 5.043 * [backup-simplify]: Simplify 4.0 into 4.0 5.043 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 5.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.043 * [taylor]: Taking taylor expansion of y in x 5.043 * [backup-simplify]: Simplify y into y 5.043 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 5.043 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 5.043 * [taylor]: Taking taylor expansion of 4.0 in x 5.043 * [backup-simplify]: Simplify 4.0 into 4.0 5.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.043 * [taylor]: Taking taylor expansion of y in x 5.043 * [backup-simplify]: Simplify y into y 5.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.043 * [taylor]: Taking taylor expansion of x in x 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.043 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.043 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.043 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 5.043 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 5.043 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 5.044 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0 5.044 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.044 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 5.044 * [taylor]: Taking taylor expansion of (- 1.0) in y 5.044 * [taylor]: Taking taylor expansion of 1.0 in y 5.045 * [backup-simplify]: Simplify 1.0 into 1.0 5.045 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.045 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.045 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 5.046 * [backup-simplify]: Simplify (+ 0 0) into 0 5.046 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0 5.046 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0 5.047 * [backup-simplify]: Simplify (- 0) into 0 5.047 * [backup-simplify]: Simplify (+ 0 0) into 0 5.047 * [taylor]: Taking taylor expansion of 0 in y 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify (- 0) into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.048 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 5.049 * [backup-simplify]: Simplify (* 1 1) into 1 5.049 * [backup-simplify]: Simplify (+ 0 1) into 1 5.049 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 2)))) 5.050 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2)))) 5.050 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow y 2))))) into (* 0.25 (/ 1 (pow y 2))) 5.050 * [backup-simplify]: Simplify (+ (/ 0.25 (pow y 2)) (* 0.25 (/ 1 (pow y 2)))) into (* 0.5 (/ 1 (pow y 2))) 5.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 5.050 * [taylor]: Taking taylor expansion of 0.5 in y 5.050 * [backup-simplify]: Simplify 0.5 into 0.5 5.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.050 * [taylor]: Taking taylor expansion of y in y 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify 1 into 1 5.051 * [backup-simplify]: Simplify (* 1 1) into 1 5.051 * [backup-simplify]: Simplify (/ 1 1) into 1 5.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify (- 0) into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.054 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.054 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 5.055 * [backup-simplify]: Simplify (+ 0 0) into 0 5.055 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 5.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.056 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.057 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.057 * [backup-simplify]: Simplify (+ 0 0) into 0 5.058 * [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 5.058 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25)))) into 0 5.059 * [backup-simplify]: Simplify (- 0) into 0 5.059 * [backup-simplify]: Simplify (+ 0 0) into 0 5.059 * [taylor]: Taking taylor expansion of 0 in y 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.060 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) (log (exp (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))))))) into (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) 5.060 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in (x y) around 0 5.060 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in y 5.060 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in y 5.060 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in y 5.060 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.060 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.060 * [taylor]: Taking taylor expansion of 4.0 in y 5.060 * [backup-simplify]: Simplify 4.0 into 4.0 5.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.060 * [taylor]: Taking taylor expansion of y in y 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (* 1 1) into 1 5.061 * [backup-simplify]: Simplify (/ 1 1) into 1 5.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.061 * [taylor]: Taking taylor expansion of x in y 5.061 * [backup-simplify]: Simplify x into x 5.061 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.061 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.061 * [taylor]: Taking taylor expansion of x in y 5.061 * [backup-simplify]: Simplify x into x 5.061 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.062 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 5.062 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.062 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 5.062 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 5.062 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in y 5.062 * [taylor]: Taking taylor expansion of 4.0 in y 5.062 * [backup-simplify]: Simplify 4.0 into 4.0 5.062 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 5.062 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 5.062 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.062 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.062 * [taylor]: Taking taylor expansion of 4.0 in y 5.062 * [backup-simplify]: Simplify 4.0 into 4.0 5.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.062 * [taylor]: Taking taylor expansion of y in y 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 1 into 1 5.062 * [backup-simplify]: Simplify (* 1 1) into 1 5.062 * [backup-simplify]: Simplify (/ 1 1) into 1 5.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.063 * [taylor]: Taking taylor expansion of x in y 5.063 * [backup-simplify]: Simplify x into x 5.063 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.063 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.063 * [taylor]: Taking taylor expansion of y in y 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify 1 into 1 5.063 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.063 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 5.064 * [backup-simplify]: Simplify (* 1 1) into 1 5.064 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.064 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 5.064 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in x 5.064 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 5.064 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 5.064 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.064 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.064 * [taylor]: Taking taylor expansion of 4.0 in x 5.064 * [backup-simplify]: Simplify 4.0 into 4.0 5.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.064 * [taylor]: Taking taylor expansion of y in x 5.064 * [backup-simplify]: Simplify y into y 5.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.064 * [taylor]: Taking taylor expansion of x in x 5.064 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (* 1 1) into 1 5.065 * [backup-simplify]: Simplify (/ 1 1) into 1 5.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.065 * [taylor]: Taking taylor expansion of x in x 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (+ 0 1) into 1 5.066 * [backup-simplify]: Simplify (* 1 1) into 1 5.066 * [backup-simplify]: Simplify (* 1 1) into 1 5.066 * [backup-simplify]: Simplify (/ 1 1) into 1 5.066 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in x 5.066 * [taylor]: Taking taylor expansion of 4.0 in x 5.066 * [backup-simplify]: Simplify 4.0 into 4.0 5.066 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 5.066 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 5.066 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.066 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.066 * [taylor]: Taking taylor expansion of 4.0 in x 5.066 * [backup-simplify]: Simplify 4.0 into 4.0 5.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.066 * [taylor]: Taking taylor expansion of y in x 5.066 * [backup-simplify]: Simplify y into y 5.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.066 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.066 * [taylor]: Taking taylor expansion of x in x 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify 1 into 1 5.067 * [backup-simplify]: Simplify (* 1 1) into 1 5.067 * [backup-simplify]: Simplify (/ 1 1) into 1 5.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.067 * [taylor]: Taking taylor expansion of y in x 5.067 * [backup-simplify]: Simplify y into y 5.067 * [backup-simplify]: Simplify (+ 0 1) into 1 5.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.067 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 5.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.067 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in x 5.068 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 5.068 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 5.068 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.068 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.068 * [taylor]: Taking taylor expansion of 4.0 in x 5.068 * [backup-simplify]: Simplify 4.0 into 4.0 5.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.068 * [taylor]: Taking taylor expansion of y in x 5.068 * [backup-simplify]: Simplify y into y 5.068 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.068 * [taylor]: Taking taylor expansion of x in x 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (* 1 1) into 1 5.068 * [backup-simplify]: Simplify (/ 1 1) into 1 5.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.068 * [taylor]: Taking taylor expansion of x in x 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.069 * [backup-simplify]: Simplify (+ 0 1) into 1 5.069 * [backup-simplify]: Simplify (* 1 1) into 1 5.069 * [backup-simplify]: Simplify (* 1 1) into 1 5.069 * [backup-simplify]: Simplify (/ 1 1) into 1 5.070 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in x 5.070 * [taylor]: Taking taylor expansion of 4.0 in x 5.070 * [backup-simplify]: Simplify 4.0 into 4.0 5.070 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 5.070 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 5.070 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.070 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.070 * [taylor]: Taking taylor expansion of 4.0 in x 5.070 * [backup-simplify]: Simplify 4.0 into 4.0 5.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.070 * [taylor]: Taking taylor expansion of y in x 5.070 * [backup-simplify]: Simplify y into y 5.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.070 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.070 * [taylor]: Taking taylor expansion of x in x 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (* 1 1) into 1 5.070 * [backup-simplify]: Simplify (/ 1 1) into 1 5.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.071 * [taylor]: Taking taylor expansion of y in x 5.071 * [backup-simplify]: Simplify y into y 5.071 * [backup-simplify]: Simplify (+ 0 1) into 1 5.071 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.071 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 5.071 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.071 * [backup-simplify]: Simplify (+ 1 0) into 1 5.071 * [taylor]: Taking taylor expansion of 1 in y 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.073 * [backup-simplify]: Simplify (+ 0 0) into 0 5.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.074 * [backup-simplify]: Simplify (+ 0 0) into 0 5.074 * [taylor]: Taking taylor expansion of 0 in y 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.075 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 5.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.076 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 5.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) 1))) into (* 4.0 (/ 1 (pow y 2))) 5.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 5.077 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 5.077 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 5.078 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 5.078 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 5.078 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 5.078 * [taylor]: Taking taylor expansion of 8.0 in y 5.078 * [backup-simplify]: Simplify 8.0 into 8.0 5.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.078 * [taylor]: Taking taylor expansion of y in y 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (* 1 1) into 1 5.078 * [backup-simplify]: Simplify (/ 1 1) into 1 5.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.081 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 5.081 * [backup-simplify]: Simplify (- 0) into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.082 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 5.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (+ 0 0) into 0 5.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (* 0 1)))) into 0 5.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 5.085 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.087 * [backup-simplify]: Simplify (+ 0 0) into 0 5.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 5.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.088 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 5.088 * [backup-simplify]: Simplify (- 0) into 0 5.088 * [backup-simplify]: Simplify (+ 0 0) into 0 5.088 * [taylor]: Taking taylor expansion of 0 in y 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 1 into 1 5.089 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) (log (exp (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))))) into (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) 5.089 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in (x y) around 0 5.089 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in y 5.089 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in y 5.089 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in y 5.089 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.089 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.089 * [taylor]: Taking taylor expansion of 4.0 in y 5.089 * [backup-simplify]: Simplify 4.0 into 4.0 5.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.089 * [taylor]: Taking taylor expansion of y in y 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.089 * [backup-simplify]: Simplify (* 1 1) into 1 5.090 * [backup-simplify]: Simplify (/ 1 1) into 1 5.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.090 * [taylor]: Taking taylor expansion of x in y 5.090 * [backup-simplify]: Simplify x into x 5.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.090 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.090 * [taylor]: Taking taylor expansion of x in y 5.090 * [backup-simplify]: Simplify x into x 5.090 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.090 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 5.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.091 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2)) 5.091 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 5.091 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in y 5.091 * [taylor]: Taking taylor expansion of 4.0 in y 5.091 * [backup-simplify]: Simplify 4.0 into 4.0 5.091 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in y 5.091 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in y 5.091 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.091 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 5.091 * [taylor]: Taking taylor expansion of 4.0 in y 5.091 * [backup-simplify]: Simplify 4.0 into 4.0 5.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.091 * [taylor]: Taking taylor expansion of y in y 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [backup-simplify]: Simplify (* 1 1) into 1 5.091 * [backup-simplify]: Simplify (/ 1 1) into 1 5.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.091 * [taylor]: Taking taylor expansion of x in y 5.091 * [backup-simplify]: Simplify x into x 5.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.092 * [taylor]: Taking taylor expansion of y in y 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.092 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 5.092 * [backup-simplify]: Simplify (* 1 1) into 1 5.093 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 5.093 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 5.093 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in x 5.093 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 5.093 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 5.093 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.093 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.093 * [taylor]: Taking taylor expansion of 4.0 in x 5.093 * [backup-simplify]: Simplify 4.0 into 4.0 5.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.093 * [taylor]: Taking taylor expansion of y in x 5.093 * [backup-simplify]: Simplify y into y 5.093 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.093 * [taylor]: Taking taylor expansion of x in x 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 1 into 1 5.094 * [backup-simplify]: Simplify (* 1 1) into 1 5.094 * [backup-simplify]: Simplify (/ 1 1) into 1 5.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.094 * [taylor]: Taking taylor expansion of x in x 5.094 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.094 * [backup-simplify]: Simplify (+ 0 1) into 1 5.094 * [backup-simplify]: Simplify (* 1 1) into 1 5.095 * [backup-simplify]: Simplify (* 1 1) into 1 5.095 * [backup-simplify]: Simplify (/ 1 1) into 1 5.095 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in x 5.095 * [taylor]: Taking taylor expansion of 4.0 in x 5.095 * [backup-simplify]: Simplify 4.0 into 4.0 5.095 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 5.095 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 5.095 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.095 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.095 * [taylor]: Taking taylor expansion of 4.0 in x 5.095 * [backup-simplify]: Simplify 4.0 into 4.0 5.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.095 * [taylor]: Taking taylor expansion of y in x 5.095 * [backup-simplify]: Simplify y into y 5.095 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.095 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.095 * [taylor]: Taking taylor expansion of x in x 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.096 * [backup-simplify]: Simplify (* 1 1) into 1 5.096 * [backup-simplify]: Simplify (/ 1 1) into 1 5.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.096 * [taylor]: Taking taylor expansion of y in x 5.096 * [backup-simplify]: Simplify y into y 5.096 * [backup-simplify]: Simplify (+ 0 1) into 1 5.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.096 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 5.096 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.096 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))))) in x 5.096 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2))) in x 5.096 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow x 2)) in x 5.096 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.096 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.096 * [taylor]: Taking taylor expansion of 4.0 in x 5.096 * [backup-simplify]: Simplify 4.0 into 4.0 5.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.097 * [taylor]: Taking taylor expansion of y in x 5.097 * [backup-simplify]: Simplify y into y 5.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.097 * [taylor]: Taking taylor expansion of x in x 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.097 * [backup-simplify]: Simplify (* 1 1) into 1 5.097 * [backup-simplify]: Simplify (/ 1 1) into 1 5.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.097 * [taylor]: Taking taylor expansion of x in x 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.098 * [backup-simplify]: Simplify (+ 0 1) into 1 5.098 * [backup-simplify]: Simplify (* 1 1) into 1 5.098 * [backup-simplify]: Simplify (* 1 1) into 1 5.098 * [backup-simplify]: Simplify (/ 1 1) into 1 5.098 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)))) in x 5.098 * [taylor]: Taking taylor expansion of 4.0 in x 5.099 * [backup-simplify]: Simplify 4.0 into 4.0 5.099 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2))) in x 5.099 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (pow y 2)) in x 5.099 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.099 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 5.099 * [taylor]: Taking taylor expansion of 4.0 in x 5.099 * [backup-simplify]: Simplify 4.0 into 4.0 5.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.099 * [taylor]: Taking taylor expansion of y in x 5.099 * [backup-simplify]: Simplify y into y 5.099 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.099 * [taylor]: Taking taylor expansion of x in x 5.099 * [backup-simplify]: Simplify 0 into 0 5.099 * [backup-simplify]: Simplify 1 into 1 5.099 * [backup-simplify]: Simplify (* 1 1) into 1 5.099 * [backup-simplify]: Simplify (/ 1 1) into 1 5.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.099 * [taylor]: Taking taylor expansion of y in x 5.099 * [backup-simplify]: Simplify y into y 5.100 * [backup-simplify]: Simplify (+ 0 1) into 1 5.100 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.100 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 5.100 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.100 * [backup-simplify]: Simplify (+ 1 0) into 1 5.100 * [taylor]: Taking taylor expansion of 1 in y 5.100 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify 1 into 1 5.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.102 * [backup-simplify]: Simplify (+ 0 0) into 0 5.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.103 * [backup-simplify]: Simplify (+ 0 0) into 0 5.103 * [taylor]: Taking taylor expansion of 0 in y 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.103 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 5.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.105 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 5.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow y 2))) 1))) into (* 4.0 (/ 1 (pow y 2))) 5.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 5.106 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 5.106 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 5.106 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 5.106 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 5.106 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 5.106 * [taylor]: Taking taylor expansion of 8.0 in y 5.106 * [backup-simplify]: Simplify 8.0 into 8.0 5.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.106 * [taylor]: Taking taylor expansion of y in y 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (* 1 1) into 1 5.107 * [backup-simplify]: Simplify (/ 1 1) into 1 5.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.109 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 5.109 * [backup-simplify]: Simplify (- 0) into 0 5.109 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.111 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 5.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.112 * [backup-simplify]: Simplify (+ 0 0) into 0 5.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 4.0 (/ 1 (pow y 2))) 0) (* 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.116 * [backup-simplify]: Simplify (+ 0 0) into 0 5.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 5.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.117 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 5.118 * [backup-simplify]: Simplify (- 0) into 0 5.118 * [backup-simplify]: Simplify (+ 0 0) into 0 5.118 * [taylor]: Taking taylor expansion of 0 in y 5.118 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify 1 into 1 5.118 * * * [progress]: simplifying candidates 5.119 * [simplify]: Simplifying: (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt 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y 4.0) y)))))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (log (sqrt (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (log 1)) (- (log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) 0 0 0 0 0 0 0 0 0 (- 1.0) 1 1 5.121 * * [simplify]: iteration 0: 160 enodes 5.149 * * [simplify]: iteration 1: 434 enodes 5.380 * * [simplify]: iteration 2: 2654 enodes 6.095 * * [simplify]: iteration complete: 5000 enodes 6.096 * * [simplify]: Extracting #0: cost 67 inf + 0 6.097 * * [simplify]: Extracting #1: cost 1001 inf + 3 6.103 * * [simplify]: Extracting #2: cost 1890 inf + 2895 6.114 * * [simplify]: Extracting #3: cost 1714 inf + 38142 6.162 * * [simplify]: Extracting #4: cost 816 inf + 297911 6.288 * * [simplify]: Extracting #5: cost 81 inf + 532495 6.430 * * [simplify]: Extracting #6: cost 4 inf + 559426 6.559 * * [simplify]: Extracting #7: cost 0 inf + 561670 6.701 * [simplify]: Simplified to: (log (/ (* x x) (+ (* x x) (* y (* y 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(- (* (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (* (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (* x x) (+ (* x x) (* y (* y 4.0)))))) (* (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (* (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0))))))) (+ (* (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (* x x) (+ (* x x) (* y (* y 4.0))))) (* (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (+ (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (/ (* x x) (+ (* x x) (* y (* y 4.0))))))) (/ (- (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (- (* (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (* x x) (+ (* x x) (* y (* y 4.0))))) (* (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))))) (+ (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (/ (* x x) (+ (* x x) (* y (* y 4.0))))) (+ (sqrt (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (* x x) (+ (* x x) (* y (* y 4.0)))))) (- (sqrt (/ (* x x) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))))) (+ (/ x (sqrt (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))))) (- (/ x (sqrt (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))))) (- (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0))))) (- (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0))))) (- (- (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (log (cbrt (exp (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))))))) (log (cbrt (exp (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))))))) (- (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (log (sqrt (exp (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))))))) (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (- (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 0 0 0 0 0 0 0 0 0 (- 1.0) 1 1 6.711 * * * [progress]: adding candidates to table 7.302 * [progress]: [Phase 3 of 3] Extracting. 7.302 * * [regime]: Finding splitpoints for: (# # # #) 7.303 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x) 7.303 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # #) 7.345 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 7.394 * * * * [regimes]: Trying to branch on y from (# # # #) 7.469 * * * * [regimes]: Trying to branch on x from (# # # #) 7.559 * * * [regime]: Found split indices: #