58.754 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.020 * * [simplify]: iteration 0: 9 enodes 0.022 * * [simplify]: iteration 1: 19 enodes 0.025 * * [simplify]: iteration 2: 38 enodes 0.034 * * [simplify]: iteration 3: 67 enodes 0.055 * * [simplify]: iteration 4: 109 enodes 0.082 * * [simplify]: iteration 5: 152 enodes 0.118 * * [simplify]: iteration 6: 177 enodes 0.150 * * [simplify]: iteration 7: 186 enodes 0.188 * * [simplify]: iteration complete: 186 enodes 0.188 * * [simplify]: Extracting #0: cost 1 inf + 0 0.188 * * [simplify]: Extracting #1: cost 8 inf + 0 0.188 * * [simplify]: Extracting #2: cost 35 inf + 1 0.189 * * [simplify]: Extracting #3: cost 25 inf + 454 0.189 * * [simplify]: Extracting #4: cost 7 inf + 4107 0.191 * * [simplify]: Extracting #5: cost 0 inf + 5553 0.193 * [simplify]: Simplified to: (/ (- (* x x) (* 4.0 (* y y))) (fma y (* y 4.0) (* x x))) 0.194 * * [progress]: iteration 1 / 4 0.194 * * * [progress]: picking best candidate 0.197 * * * * [pick]: Picked # 0.197 * * * [progress]: localizing error 0.211 * * * [progress]: generating rewritten candidates 0.211 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.238 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.245 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.258 * * * [progress]: generating series expansions 0.258 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.259 * [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))) 0.259 * [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 0.259 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 0.259 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.259 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.259 * [taylor]: Taking taylor expansion of 4.0 in y 0.259 * [backup-simplify]: Simplify 4.0 into 4.0 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 0.259 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.259 * [taylor]: Taking taylor expansion of 4.0 in y 0.259 * [backup-simplify]: Simplify 4.0 into 4.0 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.260 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.260 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.260 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.260 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.260 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.260 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.260 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.260 * [taylor]: Taking taylor expansion of 4.0 in x 0.260 * [backup-simplify]: Simplify 4.0 into 4.0 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [backup-simplify]: Simplify y into y 0.261 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.261 * [taylor]: Taking taylor expansion of 4.0 in x 0.261 * [backup-simplify]: Simplify 4.0 into 4.0 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [backup-simplify]: Simplify y into y 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.261 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.261 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.262 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.262 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.262 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.262 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.262 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.262 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.262 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.262 * [taylor]: Taking taylor expansion of 4.0 in x 0.263 * [backup-simplify]: Simplify 4.0 into 4.0 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.263 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.263 * [taylor]: Taking taylor expansion of 4.0 in x 0.263 * [backup-simplify]: Simplify 4.0 into 4.0 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.263 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.263 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.264 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.264 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.264 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.264 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.264 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.264 * [taylor]: Taking taylor expansion of -1.0 in y 0.264 * [backup-simplify]: Simplify -1.0 into -1.0 0.264 * [backup-simplify]: Simplify -1.0 into -1.0 0.265 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.265 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.267 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 1 0) into 1 0.272 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (+ 0 1) into 1 0.275 * [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))) 0.275 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.275 * [taylor]: Taking taylor expansion of 0.5 in y 0.275 * [backup-simplify]: Simplify 0.5 into 0.5 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [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 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify -1.0 into -1.0 0.290 * [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)))) 0.290 * [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 0.290 * [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 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [backup-simplify]: Simplify x into x 0.290 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.290 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.290 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.291 * [taylor]: Taking taylor expansion of 4.0 in y 0.291 * [backup-simplify]: Simplify 4.0 into 4.0 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.292 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.292 * [taylor]: Taking taylor expansion of 4.0 in y 0.292 * [backup-simplify]: Simplify 4.0 into 4.0 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [backup-simplify]: Simplify x into x 0.293 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.293 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.294 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.295 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.296 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.296 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.297 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.297 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.297 * [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 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.299 * [taylor]: Taking taylor expansion of 4.0 in x 0.299 * [backup-simplify]: Simplify 4.0 into 4.0 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [backup-simplify]: Simplify y into y 0.299 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.299 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.299 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.299 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.299 * [taylor]: Taking taylor expansion of 4.0 in x 0.299 * [backup-simplify]: Simplify 4.0 into 4.0 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [backup-simplify]: Simplify y into y 0.299 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.299 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [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 (* 1 1) into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (+ 0 1) into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [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 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.303 * [taylor]: Taking taylor expansion of 4.0 in x 0.303 * [backup-simplify]: Simplify 4.0 into 4.0 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [backup-simplify]: Simplify y into y 0.303 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.303 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.303 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.303 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.303 * [taylor]: Taking taylor expansion of 4.0 in x 0.303 * [backup-simplify]: Simplify 4.0 into 4.0 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [backup-simplify]: Simplify y into y 0.304 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [backup-simplify]: Simplify (+ 1 0) into 1 0.306 * [backup-simplify]: Simplify (+ 0 1) into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [taylor]: Taking taylor expansion of 1 in y 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.314 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.314 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.314 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.318 * [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)))) 0.318 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.318 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.318 * [taylor]: Taking taylor expansion of 8.0 in y 0.318 * [backup-simplify]: Simplify 8.0 into 8.0 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [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 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [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 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [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)))) 0.336 * [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 0.336 * [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 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [backup-simplify]: Simplify x into x 0.336 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.336 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.336 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of 4.0 in y 0.336 * [backup-simplify]: Simplify 4.0 into 4.0 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.337 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.337 * [taylor]: Taking taylor expansion of 4.0 in y 0.337 * [backup-simplify]: Simplify 4.0 into 4.0 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [backup-simplify]: Simplify x into x 0.339 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.339 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.339 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.340 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.341 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.341 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.341 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.342 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.342 * [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 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 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 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.343 * [taylor]: Taking taylor expansion of 4.0 in x 0.343 * [backup-simplify]: Simplify 4.0 into 4.0 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [backup-simplify]: Simplify y into y 0.344 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.344 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.344 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.344 * [taylor]: Taking taylor expansion of 4.0 in x 0.344 * [backup-simplify]: Simplify 4.0 into 4.0 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [backup-simplify]: Simplify y into y 0.344 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [backup-simplify]: Simplify (+ 1 0) into 1 0.346 * [backup-simplify]: Simplify (+ 0 1) into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (+ (* 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 0.349 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [backup-simplify]: Simplify (+ 0 1) into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify 1 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 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.358 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.359 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.359 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.363 * [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)))) 0.363 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.363 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.363 * [taylor]: Taking taylor expansion of 8.0 in y 0.363 * [backup-simplify]: Simplify 8.0 into 8.0 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.384 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.384 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.384 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.384 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [backup-simplify]: Simplify x into x 0.384 * [taylor]: Taking taylor expansion of (* 4.0 (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 (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 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of 4.0 in x 0.384 * [backup-simplify]: Simplify 4.0 into 4.0 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [backup-simplify]: Simplify y into y 0.384 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.385 * [taylor]: Taking taylor expansion of 4.0 in x 0.385 * [backup-simplify]: Simplify 4.0 into 4.0 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [backup-simplify]: Simplify y into y 0.385 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.385 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.386 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.386 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.386 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.386 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of 4.0 in y 0.386 * [backup-simplify]: Simplify 4.0 into 4.0 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.387 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.390 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ 1 0) into 1 0.391 * [taylor]: Taking taylor expansion of 1 in y 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.392 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.393 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.398 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.401 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.405 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.405 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [backup-simplify]: Simplify x into x 0.405 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.406 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.406 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.406 * [taylor]: Taking taylor expansion of 4.0 in y 0.406 * [backup-simplify]: Simplify 4.0 into 4.0 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.408 * [taylor]: Taking taylor expansion of 4.0 in x 0.408 * [backup-simplify]: Simplify 4.0 into 4.0 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [backup-simplify]: Simplify y into y 0.408 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.408 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of 4.0 in x 0.409 * [backup-simplify]: Simplify 4.0 into 4.0 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [backup-simplify]: Simplify y into y 0.409 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.409 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.410 * [backup-simplify]: Simplify (+ 1 0) into 1 0.410 * [taylor]: Taking taylor expansion of 1 in y 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.412 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.412 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.412 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.412 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.413 * [taylor]: Taking taylor expansion of 4.0 in y 0.413 * [backup-simplify]: Simplify 4.0 into 4.0 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.414 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.414 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.414 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) 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 0 into 0 0.424 * [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))) 0.424 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.424 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [backup-simplify]: Simplify x into x 0.424 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.425 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.425 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.425 * [taylor]: Taking taylor expansion of 4.0 in y 0.425 * [backup-simplify]: Simplify 4.0 into 4.0 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of 4.0 in x 0.426 * [backup-simplify]: Simplify 4.0 into 4.0 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [backup-simplify]: Simplify y into y 0.426 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.426 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [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 (* 4.0 (/ 1 (pow y 2))) in x 0.427 * [taylor]: Taking taylor expansion of 4.0 in x 0.427 * [backup-simplify]: Simplify 4.0 into 4.0 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [backup-simplify]: Simplify y into y 0.427 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.427 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [taylor]: Taking taylor expansion of 1 in y 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.430 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.430 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.430 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.430 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.430 * [taylor]: Taking taylor expansion of 4.0 in y 0.430 * [backup-simplify]: Simplify 4.0 into 4.0 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (* 1 1) into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.432 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.432 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [backup-simplify]: Simplify 0 into 0 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 0.449 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [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))) 0.451 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.451 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.451 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in (x y) around 0 0.451 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 0.451 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of 4.0 in y 0.451 * [backup-simplify]: Simplify 4.0 into 4.0 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [backup-simplify]: Simplify x into x 0.451 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.451 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.451 * [taylor]: Taking taylor expansion of 4.0 in x 0.451 * [backup-simplify]: Simplify 4.0 into 4.0 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [backup-simplify]: Simplify y into y 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.452 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.452 * [taylor]: Taking taylor expansion of 4.0 in x 0.452 * [backup-simplify]: Simplify 4.0 into 4.0 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [backup-simplify]: Simplify y into y 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.452 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.452 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.452 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of 4.0 in y 0.453 * [backup-simplify]: Simplify 4.0 into 4.0 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.454 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) 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 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (+ 0 1) into 1 0.457 * [taylor]: Taking taylor expansion of 1 in y 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.458 * [backup-simplify]: Simplify 4.0 into 4.0 0.459 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.463 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.469 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.469 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.469 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.469 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.469 * [taylor]: Taking taylor expansion of 4.0 in y 0.470 * [backup-simplify]: Simplify 4.0 into 4.0 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [backup-simplify]: Simplify x into x 0.471 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.471 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.471 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.471 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.471 * [taylor]: Taking taylor expansion of 4.0 in x 0.471 * [backup-simplify]: Simplify 4.0 into 4.0 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [backup-simplify]: Simplify y into y 0.471 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.472 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.473 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.473 * [taylor]: Taking taylor expansion of 4.0 in x 0.473 * [backup-simplify]: Simplify 4.0 into 4.0 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [backup-simplify]: Simplify y into y 0.473 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.473 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (+ 0 1) into 1 0.475 * [taylor]: Taking taylor expansion of 1 in y 0.475 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.480 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.480 * [taylor]: Taking taylor expansion of 4.0 in y 0.480 * [backup-simplify]: Simplify 4.0 into 4.0 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.482 * [backup-simplify]: Simplify 4.0 into 4.0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [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)) 0.500 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.500 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.500 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of 4.0 in y 0.500 * [backup-simplify]: Simplify 4.0 into 4.0 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [backup-simplify]: Simplify x into x 0.501 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.501 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.501 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.501 * [taylor]: Taking taylor expansion of 4.0 in x 0.502 * [backup-simplify]: Simplify 4.0 into 4.0 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [backup-simplify]: Simplify y into y 0.502 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.502 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.503 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of 4.0 in x 0.503 * [backup-simplify]: Simplify 4.0 into 4.0 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [backup-simplify]: Simplify y into y 0.503 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.504 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [backup-simplify]: Simplify (+ 0 1) into 1 0.505 * [taylor]: Taking taylor expansion of 1 in y 0.505 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.510 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of 4.0 in y 0.510 * [backup-simplify]: Simplify 4.0 into 4.0 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.512 * [backup-simplify]: Simplify 4.0 into 4.0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [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)) 0.521 * * * [progress]: simplifying candidates 0.522 * [simplify]: Simplifying: (expm1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (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))) (fma x x (- (* y (* y 4.0)))) (fma (- y) (* y 4.0) (* y (* y 4.0))) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* 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)))) (- (* (* 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)) (expm1 (+ (* x x) (* (* y 4.0) y))) (log1p (+ (* x x) (* (* y 4.0) y))) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -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)) 0.523 * * [simplify]: iteration 0: 98 enodes 0.555 * * [simplify]: iteration 1: 271 enodes 0.701 * * [simplify]: iteration 2: 1079 enodes 2.260 * * [simplify]: iteration complete: 5000 enodes 2.260 * * [simplify]: Extracting #0: cost 62 inf + 0 2.261 * * [simplify]: Extracting #1: cost 331 inf + 2 2.266 * * [simplify]: Extracting #2: cost 1114 inf + 3039 2.308 * * [simplify]: Extracting #3: cost 711 inf + 108782 2.386 * * [simplify]: Extracting #4: cost 161 inf + 254844 2.516 * * [simplify]: Extracting #5: cost 12 inf + 294874 2.624 * * [simplify]: Extracting #6: cost 0 inf + 298080 2.712 * [simplify]: Simplified to: (expm1 (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x)))) (log1p (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x)))) (log (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x)))) (log (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x)))) (* (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x))) (* (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x))) (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x))))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x)))) (* (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x))) (* (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x))) (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x))))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x)))) (- (* (* y 4.0) y) (* x x)) (- (fma (* y 4.0) y (* x x))) (/ (* x x) (fma (* y 4.0) y (* x x))) (/ y (/ (fma (* y 4.0) y (* x x)) (* y 4.0))) (* (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (fma (* y 4.0) y (* x x)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (fma (* y 4.0) y (* x x))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (fma (* y 4.0) y (* x x)))) (* (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (fma (* y 4.0) y (* x x)))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (fma (* 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))) (fma (* y 4.0) y (* x x))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (fma (* y 4.0) y (* x x))) (cbrt (fma (* y 4.0) y (* x x))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (fma (* y 4.0) y (* x x)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (fma (* y 4.0) y (* x x)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (fma (* y 4.0) y (* x x)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (fma (* y 4.0) y (* x x))) (/ 1 (* (cbrt (fma (* y 4.0) y (* x x))) (cbrt (fma (* y 4.0) y (* x x))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (fma (* y 4.0) y (* x x)))) (/ 1 (sqrt (fma (* y 4.0) y (* x x)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (fma (* y 4.0) y (* x x)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x))) (/ 1 (fma (* y 4.0) y (* x x))) (/ (fma (* y 4.0) y (* x x)) (- (* x x) (* (* y 4.0) y))) (/ (/ (- (* x x) (* (* y 4.0) y)) (cbrt (fma (* y 4.0) y (* x x)))) (cbrt (fma (* y 4.0) y (* x x)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (fma (* y 4.0) y (* x x)))) (- (* x x) (* (* y 4.0) y)) (/ (fma (* y 4.0) y (* x x)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma (* y 4.0) y (* x x)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (fma (* y 4.0) y (* x x)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (fma (* x (* x x)) (* x (* x x)) (* (* (* y (* y 4.0)) (* y (* y 4.0))) (* y (* y 4.0))))) (/ (- (* x x) (* (* y 4.0) y)) (* (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (* (fma (* (* y 4.0) y) (* (* y 4.0) y) (* (fma (* y 4.0) y (* x x)) (* x x))) (fma (* y 4.0) y (* x x))) (* (fma (* y 4.0) y (* x x)) (fma (* y 4.0) y (* x x))) (- (* x x) (* (* y 4.0) y)) (* (+ (* y 4.0) (- (* y 4.0))) y) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* x x) (* (* y 4.0) y))) (* (- (* y 4.0)) y) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (- (* 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 (* y 4.0)) (* y (* y 4.0))) (* y (* y 4.0)))) (fma (* 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))) (fma (* y 4.0) y (* x x)) (* (- (* y 4.0)) y) (expm1 (fma (* y 4.0) y (* x x))) (log1p (fma (* y 4.0) y (* x x))) (exp (fma (* y 4.0) y (* x x))) (log (fma (* y 4.0) y (* x x))) (exp (fma (* y 4.0) y (* x x))) (* (cbrt (fma (* y 4.0) y (* x x))) (cbrt (fma (* y 4.0) y (* x x)))) (cbrt (fma (* y 4.0) y (* x x))) (* (fma (* y 4.0) y (* x x)) (* (fma (* y 4.0) y (* x x)) (fma (* y 4.0) y (* x x)))) (sqrt (fma (* y 4.0) y (* x x))) (sqrt (fma (* y 4.0) y (* x x))) (fma (* x (* x x)) (* x (* x x)) (* (* (* y (* y 4.0)) (* y (* y 4.0))) (* y (* y 4.0)))) (fma (* (* 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)) -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (fma (* y 4.0) y (* x x)) (fma (* y 4.0) y (* x x)) (fma (* y 4.0) y (* x x)) 2.720 * * * [progress]: adding candidates to table 3.145 * * [progress]: iteration 2 / 4 3.145 * * * [progress]: picking best candidate 3.164 * * * * [pick]: Picked # 3.164 * * * [progress]: localizing error 3.204 * * * [progress]: generating rewritten candidates 3.204 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.261 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 3.270 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.280 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.313 * * * [progress]: generating series expansions 3.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.313 * [backup-simplify]: Simplify (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) into (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) 3.314 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 3.314 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in y 3.314 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 3.314 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.314 * [taylor]: Taking taylor expansion of 4.0 in y 3.314 * [backup-simplify]: Simplify 4.0 into 4.0 3.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.314 * [taylor]: Taking taylor expansion of y in y 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.314 * [taylor]: Taking taylor expansion of x in y 3.314 * [backup-simplify]: Simplify x into x 3.314 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 3.314 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.314 * [taylor]: Taking taylor expansion of x in y 3.314 * [backup-simplify]: Simplify x into x 3.314 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.314 * [taylor]: Taking taylor expansion of 4.0 in y 3.314 * [backup-simplify]: Simplify 4.0 into 4.0 3.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.314 * [taylor]: Taking taylor expansion of y in y 3.314 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.315 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.315 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.315 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.315 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.315 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in x 3.315 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 3.315 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.315 * [taylor]: Taking taylor expansion of 4.0 in x 3.315 * [backup-simplify]: Simplify 4.0 into 4.0 3.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.315 * [taylor]: Taking taylor expansion of y in x 3.316 * [backup-simplify]: Simplify y into y 3.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.316 * [taylor]: Taking taylor expansion of 4.0 in x 3.316 * [backup-simplify]: Simplify 4.0 into 4.0 3.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.316 * [taylor]: Taking taylor expansion of y in x 3.316 * [backup-simplify]: Simplify y into y 3.316 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.316 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.316 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 3.317 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.317 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.317 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.317 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.317 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0 3.317 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in x 3.317 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 3.317 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.317 * [taylor]: Taking taylor expansion of 4.0 in x 3.317 * [backup-simplify]: Simplify 4.0 into 4.0 3.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.318 * [taylor]: Taking taylor expansion of y in x 3.318 * [backup-simplify]: Simplify y into y 3.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.318 * [taylor]: Taking taylor expansion of x in x 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.318 * [taylor]: Taking taylor expansion of x in x 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.318 * [taylor]: Taking taylor expansion of 4.0 in x 3.318 * [backup-simplify]: Simplify 4.0 into 4.0 3.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.318 * [taylor]: Taking taylor expansion of y in x 3.318 * [backup-simplify]: Simplify y into y 3.318 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.318 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.318 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 3.318 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.319 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.319 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.319 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.319 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0 3.319 * [taylor]: Taking taylor expansion of -1.0 in y 3.319 * [backup-simplify]: Simplify -1.0 into -1.0 3.319 * [backup-simplify]: Simplify -1.0 into -1.0 3.320 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.321 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.322 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.323 * [backup-simplify]: Simplify (- 0) into 0 3.323 * [backup-simplify]: Simplify (+ 0 0) into 0 3.324 * [backup-simplify]: Simplify (- (/ 0 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 0 (- (* 4.0 (pow y 2))))))) into 0 3.324 * [taylor]: Taking taylor expansion of 0 in y 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.326 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.326 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (+ 0 1) into 1 3.327 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.328 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.329 * [backup-simplify]: Simplify (- 0) into 0 3.329 * [backup-simplify]: Simplify (+ 1 0) into 1 3.330 * [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)))) 3.330 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow y 2)))) in y 3.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 3.330 * [taylor]: Taking taylor expansion of 0.5 in y 3.330 * [backup-simplify]: Simplify 0.5 into 0.5 3.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.330 * [taylor]: Taking taylor expansion of y in y 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (* 1 1) into 1 3.331 * [backup-simplify]: Simplify (/ 1 1) into 1 3.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.336 * [backup-simplify]: Simplify (- 0) into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.339 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.340 * [backup-simplify]: Simplify (+ 0 0) into 0 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.342 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.344 * [backup-simplify]: Simplify (- 0) into 0 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [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 3.346 * [taylor]: Taking taylor expansion of 0 in y 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify -1.0 into -1.0 3.347 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3.347 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 3.347 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.347 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.347 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.347 * [taylor]: Taking taylor expansion of 4.0 in y 3.347 * [backup-simplify]: Simplify 4.0 into 4.0 3.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.347 * [taylor]: Taking taylor expansion of y in y 3.347 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify 1 into 1 3.348 * [backup-simplify]: Simplify (* 1 1) into 1 3.348 * [backup-simplify]: Simplify (/ 1 1) into 1 3.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.348 * [taylor]: Taking taylor expansion of x in y 3.348 * [backup-simplify]: Simplify x into x 3.348 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.349 * [taylor]: Taking taylor expansion of x in y 3.349 * [backup-simplify]: Simplify x into x 3.349 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.349 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.349 * [taylor]: Taking taylor expansion of 4.0 in y 3.349 * [backup-simplify]: Simplify 4.0 into 4.0 3.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.349 * [taylor]: Taking taylor expansion of y in y 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (* 1 1) into 1 3.350 * [backup-simplify]: Simplify (/ 1 1) into 1 3.351 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.351 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 3.352 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.352 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.353 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.354 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0 3.354 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.354 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.354 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.354 * [taylor]: Taking taylor expansion of 4.0 in x 3.354 * [backup-simplify]: Simplify 4.0 into 4.0 3.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.354 * [taylor]: Taking taylor expansion of y in x 3.355 * [backup-simplify]: Simplify y into y 3.355 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.355 * [taylor]: Taking taylor expansion of x in x 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.356 * [taylor]: Taking taylor expansion of x in x 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (* 1 1) into 1 3.357 * [backup-simplify]: Simplify (/ 1 1) into 1 3.357 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.357 * [taylor]: Taking taylor expansion of 4.0 in x 3.357 * [backup-simplify]: Simplify 4.0 into 4.0 3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.358 * [taylor]: Taking taylor expansion of y in x 3.358 * [backup-simplify]: Simplify y into y 3.358 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.358 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.359 * [backup-simplify]: Simplify (+ 0 1) into 1 3.359 * [backup-simplify]: Simplify (+ 1 0) into 1 3.359 * [backup-simplify]: Simplify (/ 1 1) into 1 3.359 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.360 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.360 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.360 * [taylor]: Taking taylor expansion of 4.0 in x 3.360 * [backup-simplify]: Simplify 4.0 into 4.0 3.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.360 * [taylor]: Taking taylor expansion of y in x 3.360 * [backup-simplify]: Simplify y into y 3.360 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.360 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.360 * [taylor]: Taking taylor expansion of x in x 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.361 * [backup-simplify]: Simplify (* 1 1) into 1 3.361 * [backup-simplify]: Simplify (/ 1 1) into 1 3.361 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.361 * [taylor]: Taking taylor expansion of x in x 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 1 into 1 3.362 * [backup-simplify]: Simplify (* 1 1) into 1 3.362 * [backup-simplify]: Simplify (/ 1 1) into 1 3.362 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.362 * [taylor]: Taking taylor expansion of 4.0 in x 3.362 * [backup-simplify]: Simplify 4.0 into 4.0 3.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.362 * [taylor]: Taking taylor expansion of y in x 3.363 * [backup-simplify]: Simplify y into y 3.363 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.363 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.364 * [backup-simplify]: Simplify (+ 0 1) into 1 3.364 * [backup-simplify]: Simplify (+ 1 0) into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [taylor]: Taking taylor expansion of 1 in y 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.369 * [backup-simplify]: Simplify (+ 0 0) into 0 3.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.369 * [taylor]: Taking taylor expansion of 0 in y 3.369 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.376 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.376 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.377 * [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))) 3.377 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.377 * [taylor]: Taking taylor expansion of 8.0 in y 3.377 * [backup-simplify]: Simplify 8.0 into 8.0 3.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.377 * [taylor]: Taking taylor expansion of y in y 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (* 1 1) into 1 3.378 * [backup-simplify]: Simplify (/ 1 1) into 1 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.385 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.388 * [backup-simplify]: Simplify (+ 0 0) into 0 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.391 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.392 * [backup-simplify]: Simplify (- 0) into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [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 3.395 * [taylor]: Taking taylor expansion of 0 in y 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3.395 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 3.395 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.395 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.396 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.396 * [taylor]: Taking taylor expansion of 4.0 in y 3.396 * [backup-simplify]: Simplify 4.0 into 4.0 3.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.396 * [taylor]: Taking taylor expansion of y in y 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify (* 1 1) into 1 3.397 * [backup-simplify]: Simplify (/ 1 1) into 1 3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.397 * [taylor]: Taking taylor expansion of x in y 3.397 * [backup-simplify]: Simplify x into x 3.397 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.397 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.397 * [taylor]: Taking taylor expansion of x in y 3.397 * [backup-simplify]: Simplify x into x 3.397 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.397 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.397 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.397 * [taylor]: Taking taylor expansion of 4.0 in y 3.397 * [backup-simplify]: Simplify 4.0 into 4.0 3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.397 * [taylor]: Taking taylor expansion of y in y 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify (* 1 1) into 1 3.398 * [backup-simplify]: Simplify (/ 1 1) into 1 3.398 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.399 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 3.399 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.399 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.400 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.400 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0 3.400 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.400 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.400 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.400 * [taylor]: Taking taylor expansion of 4.0 in x 3.400 * [backup-simplify]: Simplify 4.0 into 4.0 3.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.400 * [taylor]: Taking taylor expansion of y in x 3.400 * [backup-simplify]: Simplify y into y 3.400 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.401 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (* 1 1) into 1 3.401 * [backup-simplify]: Simplify (/ 1 1) into 1 3.401 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (* 1 1) into 1 3.402 * [backup-simplify]: Simplify (/ 1 1) into 1 3.402 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.402 * [taylor]: Taking taylor expansion of 4.0 in x 3.402 * [backup-simplify]: Simplify 4.0 into 4.0 3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.402 * [taylor]: Taking taylor expansion of y in x 3.402 * [backup-simplify]: Simplify y into y 3.402 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.402 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.402 * [backup-simplify]: Simplify (+ 0 1) into 1 3.403 * [backup-simplify]: Simplify (+ 1 0) into 1 3.403 * [backup-simplify]: Simplify (/ 1 1) into 1 3.403 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.403 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.403 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.403 * [taylor]: Taking taylor expansion of 4.0 in x 3.403 * [backup-simplify]: Simplify 4.0 into 4.0 3.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.403 * [taylor]: Taking taylor expansion of y in x 3.403 * [backup-simplify]: Simplify y into y 3.403 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.403 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.403 * [taylor]: Taking taylor expansion of x in x 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.404 * [backup-simplify]: Simplify (* 1 1) into 1 3.404 * [backup-simplify]: Simplify (/ 1 1) into 1 3.404 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.404 * [taylor]: Taking taylor expansion of x in x 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [backup-simplify]: Simplify (* 1 1) into 1 3.405 * [backup-simplify]: Simplify (/ 1 1) into 1 3.405 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.405 * [taylor]: Taking taylor expansion of 4.0 in x 3.405 * [backup-simplify]: Simplify 4.0 into 4.0 3.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.405 * [taylor]: Taking taylor expansion of y in x 3.405 * [backup-simplify]: Simplify y into y 3.405 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.405 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.405 * [backup-simplify]: Simplify (+ 0 1) into 1 3.406 * [backup-simplify]: Simplify (+ 1 0) into 1 3.406 * [backup-simplify]: Simplify (/ 1 1) into 1 3.406 * [taylor]: Taking taylor expansion of 1 in y 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (+ 0 0) into 0 3.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (+ 0 0) into 0 3.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.412 * [taylor]: Taking taylor expansion of 0 in y 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.414 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 3.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.416 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.416 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.417 * [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))) 3.417 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.417 * [taylor]: Taking taylor expansion of 8.0 in y 3.417 * [backup-simplify]: Simplify 8.0 into 8.0 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.417 * [taylor]: Taking taylor expansion of y in y 3.417 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify 1 into 1 3.417 * [backup-simplify]: Simplify (* 1 1) into 1 3.417 * [backup-simplify]: Simplify (/ 1 1) into 1 3.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.420 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.421 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.425 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.425 * [backup-simplify]: Simplify (- 0) into 0 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [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 3.426 * [taylor]: Taking taylor expansion of 0 in y 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 3.427 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 3.427 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 3.427 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 3.427 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.427 * [taylor]: Taking taylor expansion of x in y 3.427 * [backup-simplify]: Simplify x into x 3.427 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.427 * [taylor]: Taking taylor expansion of 4.0 in y 3.427 * [backup-simplify]: Simplify 4.0 into 4.0 3.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.427 * [taylor]: Taking taylor expansion of y in y 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.427 * [taylor]: Taking taylor expansion of 4.0 in x 3.427 * [backup-simplify]: Simplify 4.0 into 4.0 3.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.427 * [taylor]: Taking taylor expansion of y in x 3.427 * [backup-simplify]: Simplify y into y 3.427 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.427 * [taylor]: Taking taylor expansion of 4.0 in x 3.427 * [backup-simplify]: Simplify 4.0 into 4.0 3.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.427 * [taylor]: Taking taylor expansion of y in x 3.427 * [backup-simplify]: Simplify y into y 3.427 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.427 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.428 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.428 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.428 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 3.428 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.428 * [taylor]: Taking taylor expansion of 4.0 in y 3.428 * [backup-simplify]: Simplify 4.0 into 4.0 3.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.428 * [taylor]: Taking taylor expansion of y in y 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 1 into 1 3.428 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.429 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.429 * [backup-simplify]: Simplify (- 0) into 0 3.429 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [taylor]: Taking taylor expansion of 0 in y 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (* 1 1) into 1 3.430 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.431 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.432 * [backup-simplify]: Simplify (- 0) into 0 3.432 * [backup-simplify]: Simplify (+ 1 0) into 1 3.432 * [taylor]: Taking taylor expansion of 1 in y 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (* 1 1) into 1 3.433 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.434 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.434 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.436 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.438 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.438 * [backup-simplify]: Simplify (- 0) into 0 3.438 * [backup-simplify]: Simplify (+ 0 0) into 0 3.439 * [taylor]: Taking taylor expansion of 0 in y 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.440 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.441 * [backup-simplify]: Simplify (- 0) into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.443 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.445 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 3.445 * [backup-simplify]: Simplify (- 0) into 0 3.445 * [backup-simplify]: Simplify (+ 0 0) into 0 3.446 * [taylor]: Taking taylor expansion of 0 in y 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 3.447 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 3.447 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 3.447 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.447 * [taylor]: Taking taylor expansion of x in y 3.447 * [backup-simplify]: Simplify x into x 3.447 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.447 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.447 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.447 * [taylor]: Taking taylor expansion of 4.0 in y 3.447 * [backup-simplify]: Simplify 4.0 into 4.0 3.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.447 * [taylor]: Taking taylor expansion of y in y 3.447 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify (* 1 1) into 1 3.448 * [backup-simplify]: Simplify (/ 1 1) into 1 3.448 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.449 * [taylor]: Taking taylor expansion of x in x 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (* 1 1) into 1 3.449 * [backup-simplify]: Simplify (/ 1 1) into 1 3.449 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.449 * [taylor]: Taking taylor expansion of 4.0 in x 3.450 * [backup-simplify]: Simplify 4.0 into 4.0 3.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.450 * [taylor]: Taking taylor expansion of y in x 3.450 * [backup-simplify]: Simplify y into y 3.450 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.450 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.450 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.450 * [taylor]: Taking taylor expansion of x in x 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.451 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.451 * [taylor]: Taking taylor expansion of 4.0 in x 3.451 * [backup-simplify]: Simplify 4.0 into 4.0 3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.451 * [taylor]: Taking taylor expansion of y in x 3.451 * [backup-simplify]: Simplify y into y 3.451 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.452 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.452 * [backup-simplify]: Simplify (+ 1 0) into 1 3.452 * [taylor]: Taking taylor expansion of 1 in y 3.452 * [backup-simplify]: Simplify 1 into 1 3.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify (+ 0 0) into 0 3.454 * [taylor]: Taking taylor expansion of 0 in y 3.454 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.457 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.457 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.457 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 3.457 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.457 * [taylor]: Taking taylor expansion of 4.0 in y 3.457 * [backup-simplify]: Simplify 4.0 into 4.0 3.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.458 * [taylor]: Taking taylor expansion of y in y 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.458 * [backup-simplify]: Simplify (* 1 1) into 1 3.459 * [backup-simplify]: Simplify (/ 1 1) into 1 3.459 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.459 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.460 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.460 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.462 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.464 * [backup-simplify]: Simplify (- 0) into 0 3.464 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [taylor]: Taking taylor expansion of 0 in y 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.467 * [backup-simplify]: Simplify (- 0) into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.471 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.473 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.473 * [backup-simplify]: Simplify (- 0) into 0 3.473 * [backup-simplify]: Simplify (+ 0 0) into 0 3.473 * [taylor]: Taking taylor expansion of 0 in y 3.474 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.477 * [backup-simplify]: Simplify (- 0) into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 3.479 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 3.479 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 3.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.479 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.479 * [taylor]: Taking taylor expansion of x in y 3.479 * [backup-simplify]: Simplify x into x 3.479 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.480 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.480 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.480 * [taylor]: Taking taylor expansion of 4.0 in y 3.480 * [backup-simplify]: Simplify 4.0 into 4.0 3.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.480 * [taylor]: Taking taylor expansion of y in y 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify (* 1 1) into 1 3.481 * [backup-simplify]: Simplify (/ 1 1) into 1 3.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.481 * [taylor]: Taking taylor expansion of x in x 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (* 1 1) into 1 3.482 * [backup-simplify]: Simplify (/ 1 1) into 1 3.482 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.482 * [taylor]: Taking taylor expansion of 4.0 in x 3.482 * [backup-simplify]: Simplify 4.0 into 4.0 3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.482 * [taylor]: Taking taylor expansion of y in x 3.482 * [backup-simplify]: Simplify y into y 3.482 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.482 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.482 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.483 * [taylor]: Taking taylor expansion of x in x 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [backup-simplify]: Simplify (* 1 1) into 1 3.484 * [backup-simplify]: Simplify (/ 1 1) into 1 3.484 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.484 * [taylor]: Taking taylor expansion of 4.0 in x 3.484 * [backup-simplify]: Simplify 4.0 into 4.0 3.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.484 * [taylor]: Taking taylor expansion of y in x 3.484 * [backup-simplify]: Simplify y into y 3.484 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.484 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.485 * [backup-simplify]: Simplify (+ 1 0) into 1 3.485 * [taylor]: Taking taylor expansion of 1 in y 3.485 * [backup-simplify]: Simplify 1 into 1 3.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.487 * [taylor]: Taking taylor expansion of 0 in y 3.487 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.489 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.489 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.489 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 3.489 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.489 * [taylor]: Taking taylor expansion of 4.0 in y 3.489 * [backup-simplify]: Simplify 4.0 into 4.0 3.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.489 * [taylor]: Taking taylor expansion of y in y 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.490 * [backup-simplify]: Simplify (* 1 1) into 1 3.490 * [backup-simplify]: Simplify (/ 1 1) into 1 3.490 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.491 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.491 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.491 * [backup-simplify]: Simplify 1 into 1 3.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.492 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.493 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.493 * [backup-simplify]: Simplify (- 0) into 0 3.493 * [backup-simplify]: Simplify (+ 0 0) into 0 3.494 * [taylor]: Taking taylor expansion of 0 in y 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.495 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify (- 0) into 0 3.495 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.498 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.499 * [backup-simplify]: Simplify (- 0) into 0 3.499 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [taylor]: Taking taylor expansion of 0 in y 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.501 * [backup-simplify]: Simplify (- 0) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 3.502 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.502 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (* 4.0 (pow y 2)) (pow x 2)) 3.502 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in (x y) around 0 3.502 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 3.502 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.502 * [taylor]: Taking taylor expansion of 4.0 in y 3.502 * [backup-simplify]: Simplify 4.0 into 4.0 3.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.502 * [taylor]: Taking taylor expansion of y in y 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 1 into 1 3.502 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.502 * [taylor]: Taking taylor expansion of x in y 3.502 * [backup-simplify]: Simplify x into x 3.502 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 3.502 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.502 * [taylor]: Taking taylor expansion of 4.0 in x 3.502 * [backup-simplify]: Simplify 4.0 into 4.0 3.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.502 * [taylor]: Taking taylor expansion of y in x 3.502 * [backup-simplify]: Simplify y into y 3.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.502 * [taylor]: Taking taylor expansion of x in x 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 1 into 1 3.502 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 3.502 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.502 * [taylor]: Taking taylor expansion of 4.0 in x 3.502 * [backup-simplify]: Simplify 4.0 into 4.0 3.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.502 * [taylor]: Taking taylor expansion of y in x 3.502 * [backup-simplify]: Simplify y into y 3.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.502 * [taylor]: Taking taylor expansion of x in x 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.503 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.503 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 3.503 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.503 * [taylor]: Taking taylor expansion of 4.0 in y 3.503 * [backup-simplify]: Simplify 4.0 into 4.0 3.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.503 * [taylor]: Taking taylor expansion of y in y 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.504 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [taylor]: Taking taylor expansion of 0 in y 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.505 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.505 * [backup-simplify]: Simplify (* 1 1) into 1 3.505 * [backup-simplify]: Simplify (+ 0 1) into 1 3.505 * [taylor]: Taking taylor expansion of 1 in y 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify (* 1 1) into 1 3.506 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.506 * [backup-simplify]: Simplify 4.0 into 4.0 3.507 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.508 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.508 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [taylor]: Taking taylor expansion of 0 in y 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.509 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.509 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.512 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.513 * [taylor]: Taking taylor expansion of 0 in y 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 3.513 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.513 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 3.513 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.513 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.513 * [taylor]: Taking taylor expansion of 4.0 in y 3.513 * [backup-simplify]: Simplify 4.0 into 4.0 3.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.513 * [taylor]: Taking taylor expansion of y in y 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (* 1 1) into 1 3.514 * [backup-simplify]: Simplify (/ 1 1) into 1 3.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.514 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.514 * [taylor]: Taking taylor expansion of x in y 3.514 * [backup-simplify]: Simplify x into x 3.514 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.514 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.514 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.514 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.514 * [taylor]: Taking taylor expansion of 4.0 in x 3.514 * [backup-simplify]: Simplify 4.0 into 4.0 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.515 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.515 * [taylor]: Taking taylor expansion of y in x 3.515 * [backup-simplify]: Simplify y into y 3.515 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.515 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.515 * [taylor]: Taking taylor expansion of x in x 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (* 1 1) into 1 3.515 * [backup-simplify]: Simplify (/ 1 1) into 1 3.515 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.515 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.515 * [taylor]: Taking taylor expansion of 4.0 in x 3.515 * [backup-simplify]: Simplify 4.0 into 4.0 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.516 * [taylor]: Taking taylor expansion of y in x 3.516 * [backup-simplify]: Simplify y into y 3.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.516 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.516 * [taylor]: Taking taylor expansion of x in x 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify (* 1 1) into 1 3.516 * [backup-simplify]: Simplify (/ 1 1) into 1 3.517 * [backup-simplify]: Simplify (+ 0 1) into 1 3.517 * [taylor]: Taking taylor expansion of 1 in y 3.517 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.519 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [taylor]: Taking taylor expansion of 0 in y 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 3.522 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.522 * [taylor]: Taking taylor expansion of 4.0 in y 3.522 * [backup-simplify]: Simplify 4.0 into 4.0 3.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.522 * [taylor]: Taking taylor expansion of y in y 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 1 into 1 3.523 * [backup-simplify]: Simplify (* 1 1) into 1 3.523 * [backup-simplify]: Simplify (/ 1 1) into 1 3.523 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.524 * [backup-simplify]: Simplify 4.0 into 4.0 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.525 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.528 * [taylor]: Taking taylor expansion of 0 in y 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.533 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.535 * [backup-simplify]: Simplify (+ 0 0) into 0 3.535 * [taylor]: Taking taylor expansion of 0 in y 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.540 * [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)) 3.540 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.540 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 3.540 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.540 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.540 * [taylor]: Taking taylor expansion of 4.0 in y 3.540 * [backup-simplify]: Simplify 4.0 into 4.0 3.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.540 * [taylor]: Taking taylor expansion of y in y 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify (* 1 1) into 1 3.541 * [backup-simplify]: Simplify (/ 1 1) into 1 3.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.541 * [taylor]: Taking taylor expansion of x in y 3.541 * [backup-simplify]: Simplify x into x 3.541 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.542 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.542 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.542 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.542 * [taylor]: Taking taylor expansion of 4.0 in x 3.542 * [backup-simplify]: Simplify 4.0 into 4.0 3.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.542 * [taylor]: Taking taylor expansion of y in x 3.542 * [backup-simplify]: Simplify y into y 3.542 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.542 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.543 * [backup-simplify]: Simplify (* 1 1) into 1 3.543 * [backup-simplify]: Simplify (/ 1 1) into 1 3.543 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.543 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.544 * [taylor]: Taking taylor expansion of 4.0 in x 3.544 * [backup-simplify]: Simplify 4.0 into 4.0 3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.544 * [taylor]: Taking taylor expansion of y in x 3.544 * [backup-simplify]: Simplify y into y 3.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.544 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.544 * [taylor]: Taking taylor expansion of x in x 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (* 1 1) into 1 3.545 * [backup-simplify]: Simplify (/ 1 1) into 1 3.546 * [backup-simplify]: Simplify (+ 0 1) into 1 3.546 * [taylor]: Taking taylor expansion of 1 in y 3.546 * [backup-simplify]: Simplify 1 into 1 3.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.548 * [taylor]: Taking taylor expansion of 0 in y 3.548 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 3.551 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.551 * [taylor]: Taking taylor expansion of 4.0 in y 3.551 * [backup-simplify]: Simplify 4.0 into 4.0 3.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.551 * [taylor]: Taking taylor expansion of y in y 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify 1 into 1 3.552 * [backup-simplify]: Simplify (* 1 1) into 1 3.552 * [backup-simplify]: Simplify (/ 1 1) into 1 3.553 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.553 * [backup-simplify]: Simplify 4.0 into 4.0 3.553 * [backup-simplify]: Simplify 1 into 1 3.553 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.554 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (+ 0 0) into 0 3.557 * [taylor]: Taking taylor expansion of 0 in y 3.557 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.562 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.565 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.567 * [backup-simplify]: Simplify (+ 0 0) into 0 3.567 * [taylor]: Taking taylor expansion of 0 in y 3.567 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [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)) 3.571 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.572 * [backup-simplify]: Simplify (/ 1 (/ (+ (* 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))) 3.572 * [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 3.572 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 3.572 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 3.572 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.572 * [taylor]: Taking taylor expansion of x in y 3.572 * [backup-simplify]: Simplify x into x 3.572 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.572 * [taylor]: Taking taylor expansion of 4.0 in y 3.572 * [backup-simplify]: Simplify 4.0 into 4.0 3.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.572 * [taylor]: Taking taylor expansion of y in y 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 3.572 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.573 * [taylor]: Taking taylor expansion of 4.0 in y 3.573 * [backup-simplify]: Simplify 4.0 into 4.0 3.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.573 * [taylor]: Taking taylor expansion of y in y 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.573 * [taylor]: Taking taylor expansion of x in y 3.573 * [backup-simplify]: Simplify x into x 3.573 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.573 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.573 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.574 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.574 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.574 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 3.574 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.574 * [taylor]: Taking taylor expansion of x in x 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 1 into 1 3.574 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.574 * [taylor]: Taking taylor expansion of 4.0 in x 3.574 * [backup-simplify]: Simplify 4.0 into 4.0 3.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.574 * [taylor]: Taking taylor expansion of y in x 3.574 * [backup-simplify]: Simplify y into y 3.574 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 3.574 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.574 * [taylor]: Taking taylor expansion of 4.0 in x 3.574 * [backup-simplify]: Simplify 4.0 into 4.0 3.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.574 * [taylor]: Taking taylor expansion of y in x 3.574 * [backup-simplify]: Simplify y into y 3.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.574 * [taylor]: Taking taylor expansion of x in x 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.575 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.575 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.575 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.575 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.575 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.576 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 3.576 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 3.576 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 3.576 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.576 * [taylor]: Taking taylor expansion of x in x 3.576 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.576 * [taylor]: Taking taylor expansion of 4.0 in x 3.576 * [backup-simplify]: Simplify 4.0 into 4.0 3.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.576 * [taylor]: Taking taylor expansion of y in x 3.576 * [backup-simplify]: Simplify y into y 3.576 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 3.576 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.576 * [taylor]: Taking taylor expansion of 4.0 in x 3.576 * [backup-simplify]: Simplify 4.0 into 4.0 3.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.576 * [taylor]: Taking taylor expansion of y in x 3.577 * [backup-simplify]: Simplify y into y 3.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.577 * [taylor]: Taking taylor expansion of x in x 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.577 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.577 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.577 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.577 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.578 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.578 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 3.578 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 3.578 * [taylor]: Taking taylor expansion of -1.0 in y 3.578 * [backup-simplify]: Simplify -1.0 into -1.0 3.578 * [backup-simplify]: Simplify -1.0 into -1.0 3.578 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.579 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.580 * [backup-simplify]: Simplify (- 0) into 0 3.580 * [backup-simplify]: Simplify (+ 0 0) into 0 3.580 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.581 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.581 * [backup-simplify]: Simplify (+ 0 0) into 0 3.582 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 3.582 * [taylor]: Taking taylor expansion of 0 in y 3.582 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify (* 1 1) into 1 3.583 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.584 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.584 * [backup-simplify]: Simplify (- 0) into 0 3.585 * [backup-simplify]: Simplify (+ 1 0) into 1 3.585 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.586 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.587 * [backup-simplify]: Simplify (* 1 1) into 1 3.587 * [backup-simplify]: Simplify (+ 0 1) into 1 3.588 * [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))) 3.588 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 3.588 * [taylor]: Taking taylor expansion of 0.5 in y 3.588 * [backup-simplify]: Simplify 0.5 into 0.5 3.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.588 * [taylor]: Taking taylor expansion of y in y 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.589 * [backup-simplify]: Simplify (* 1 1) into 1 3.589 * [backup-simplify]: Simplify (/ 1 1) into 1 3.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.596 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.597 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.598 * [backup-simplify]: Simplify (- 0) into 0 3.598 * [backup-simplify]: Simplify (+ 0 0) into 0 3.599 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.600 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.602 * [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 3.603 * [taylor]: Taking taylor expansion of 0 in y 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify -1.0 into -1.0 3.603 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 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)))) 3.603 * [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 3.603 * [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 3.603 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.603 * [taylor]: Taking taylor expansion of x in y 3.603 * [backup-simplify]: Simplify x into x 3.604 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.604 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.604 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.604 * [taylor]: Taking taylor expansion of 4.0 in y 3.604 * [backup-simplify]: Simplify 4.0 into 4.0 3.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.604 * [taylor]: Taking taylor expansion of y in y 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.605 * [backup-simplify]: Simplify (* 1 1) into 1 3.605 * [backup-simplify]: Simplify (/ 1 1) into 1 3.605 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.605 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.605 * [taylor]: Taking taylor expansion of 4.0 in y 3.605 * [backup-simplify]: Simplify 4.0 into 4.0 3.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.605 * [taylor]: Taking taylor expansion of y in y 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (* 1 1) into 1 3.606 * [backup-simplify]: Simplify (/ 1 1) into 1 3.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.606 * [taylor]: Taking taylor expansion of x in y 3.606 * [backup-simplify]: Simplify x into x 3.606 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.607 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.607 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.608 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.609 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.609 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.610 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 3.610 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 3.610 * [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 3.611 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.611 * [taylor]: Taking taylor expansion of x in x 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 1 into 1 3.611 * [backup-simplify]: Simplify (* 1 1) into 1 3.611 * [backup-simplify]: Simplify (/ 1 1) into 1 3.612 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.612 * [taylor]: Taking taylor expansion of 4.0 in x 3.612 * [backup-simplify]: Simplify 4.0 into 4.0 3.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.612 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.612 * [taylor]: Taking taylor expansion of y in x 3.612 * [backup-simplify]: Simplify y into y 3.612 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.612 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.612 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.612 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.612 * [taylor]: Taking taylor expansion of 4.0 in x 3.612 * [backup-simplify]: Simplify 4.0 into 4.0 3.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.612 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.612 * [taylor]: Taking taylor expansion of y in x 3.612 * [backup-simplify]: Simplify y into y 3.612 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.612 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.613 * [taylor]: Taking taylor expansion of x in x 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (* 1 1) into 1 3.614 * [backup-simplify]: Simplify (/ 1 1) into 1 3.614 * [backup-simplify]: Simplify (+ 1 0) into 1 3.614 * [backup-simplify]: Simplify (+ 0 1) into 1 3.615 * [backup-simplify]: Simplify (/ 1 1) into 1 3.615 * [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 3.615 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.615 * [taylor]: Taking taylor expansion of x in x 3.615 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify 1 into 1 3.615 * [backup-simplify]: Simplify (* 1 1) into 1 3.616 * [backup-simplify]: Simplify (/ 1 1) into 1 3.616 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.616 * [taylor]: Taking taylor expansion of 4.0 in x 3.616 * [backup-simplify]: Simplify 4.0 into 4.0 3.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.616 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.616 * [taylor]: Taking taylor expansion of y in x 3.616 * [backup-simplify]: Simplify y into y 3.616 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.616 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.616 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.616 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.616 * [taylor]: Taking taylor expansion of 4.0 in x 3.616 * [backup-simplify]: Simplify 4.0 into 4.0 3.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.616 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.616 * [taylor]: Taking taylor expansion of y in x 3.616 * [backup-simplify]: Simplify y into y 3.617 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.617 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.617 * [taylor]: Taking taylor expansion of x in x 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify 1 into 1 3.617 * [backup-simplify]: Simplify (* 1 1) into 1 3.617 * [backup-simplify]: Simplify (/ 1 1) into 1 3.618 * [backup-simplify]: Simplify (+ 1 0) into 1 3.618 * [backup-simplify]: Simplify (+ 0 1) into 1 3.618 * [backup-simplify]: Simplify (/ 1 1) into 1 3.618 * [taylor]: Taking taylor expansion of 1 in y 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.619 * [backup-simplify]: Simplify (+ 0 0) into 0 3.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ 0 0) into 0 3.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.621 * [taylor]: Taking taylor expansion of 0 in y 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.622 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.623 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.623 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 3.625 * [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)))) 3.625 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.625 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.625 * [taylor]: Taking taylor expansion of 8.0 in y 3.625 * [backup-simplify]: Simplify 8.0 into 8.0 3.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.625 * [taylor]: Taking taylor expansion of y in y 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 1 into 1 3.626 * [backup-simplify]: Simplify (* 1 1) into 1 3.626 * [backup-simplify]: Simplify (/ 1 1) into 1 3.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.629 * [backup-simplify]: Simplify (- 0) into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.630 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.631 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.631 * [backup-simplify]: Simplify (- 0) into 0 3.632 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.632 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ 0 0) into 0 3.635 * [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 3.635 * [taylor]: Taking taylor expansion of 0 in y 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 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)))) 3.636 * [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 3.636 * [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 3.636 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.636 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.636 * [taylor]: Taking taylor expansion of x in y 3.636 * [backup-simplify]: Simplify x into x 3.636 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.636 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.636 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.636 * [taylor]: Taking taylor expansion of 4.0 in y 3.636 * [backup-simplify]: Simplify 4.0 into 4.0 3.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.636 * [taylor]: Taking taylor expansion of y in y 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [backup-simplify]: Simplify (* 1 1) into 1 3.637 * [backup-simplify]: Simplify (/ 1 1) into 1 3.637 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.637 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.637 * [taylor]: Taking taylor expansion of 4.0 in y 3.637 * [backup-simplify]: Simplify 4.0 into 4.0 3.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.637 * [taylor]: Taking taylor expansion of y in y 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [backup-simplify]: Simplify (* 1 1) into 1 3.637 * [backup-simplify]: Simplify (/ 1 1) into 1 3.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.637 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.637 * [taylor]: Taking taylor expansion of x in y 3.637 * [backup-simplify]: Simplify x into x 3.637 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.638 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.638 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.638 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.639 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.639 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.639 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 3.640 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 3.640 * [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 3.640 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.640 * [taylor]: Taking taylor expansion of x in x 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 1 into 1 3.640 * [backup-simplify]: Simplify (* 1 1) into 1 3.640 * [backup-simplify]: Simplify (/ 1 1) into 1 3.640 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.641 * [taylor]: Taking taylor expansion of 4.0 in x 3.641 * [backup-simplify]: Simplify 4.0 into 4.0 3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.641 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.641 * [taylor]: Taking taylor expansion of y in x 3.641 * [backup-simplify]: Simplify y into y 3.641 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.641 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.641 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.641 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.641 * [taylor]: Taking taylor expansion of 4.0 in x 3.641 * [backup-simplify]: Simplify 4.0 into 4.0 3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.641 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.641 * [taylor]: Taking taylor expansion of y in x 3.641 * [backup-simplify]: Simplify y into y 3.641 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.641 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.641 * [taylor]: Taking taylor expansion of x in x 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.642 * [backup-simplify]: Simplify (* 1 1) into 1 3.642 * [backup-simplify]: Simplify (/ 1 1) into 1 3.642 * [backup-simplify]: Simplify (+ 1 0) into 1 3.642 * [backup-simplify]: Simplify (+ 0 1) into 1 3.643 * [backup-simplify]: Simplify (/ 1 1) into 1 3.643 * [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 3.643 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.643 * [taylor]: Taking taylor expansion of x in x 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (* 1 1) into 1 3.643 * [backup-simplify]: Simplify (/ 1 1) into 1 3.643 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.643 * [taylor]: Taking taylor expansion of 4.0 in x 3.643 * [backup-simplify]: Simplify 4.0 into 4.0 3.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.643 * [taylor]: Taking taylor expansion of y in x 3.643 * [backup-simplify]: Simplify y into y 3.643 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.644 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.644 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.644 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.644 * [taylor]: Taking taylor expansion of 4.0 in x 3.644 * [backup-simplify]: Simplify 4.0 into 4.0 3.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.644 * [taylor]: Taking taylor expansion of y in x 3.644 * [backup-simplify]: Simplify y into y 3.644 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.644 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.644 * [taylor]: Taking taylor expansion of x in x 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [backup-simplify]: Simplify (* 1 1) into 1 3.645 * [backup-simplify]: Simplify (/ 1 1) into 1 3.645 * [backup-simplify]: Simplify (+ 1 0) into 1 3.645 * [backup-simplify]: Simplify (+ 0 1) into 1 3.645 * [backup-simplify]: Simplify (/ 1 1) into 1 3.645 * [taylor]: Taking taylor expansion of 1 in y 3.645 * [backup-simplify]: Simplify 1 into 1 3.645 * [backup-simplify]: Simplify 1 into 1 3.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.648 * [backup-simplify]: Simplify (+ 0 0) into 0 3.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.648 * [taylor]: Taking taylor expansion of 0 in y 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.649 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.650 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.650 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.650 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 3.652 * [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)))) 3.652 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.652 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.652 * [taylor]: Taking taylor expansion of 8.0 in y 3.652 * [backup-simplify]: Simplify 8.0 into 8.0 3.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.652 * [taylor]: Taking taylor expansion of y in y 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify (* 1 1) into 1 3.653 * [backup-simplify]: Simplify (/ 1 1) into 1 3.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.656 * [backup-simplify]: Simplify (- 0) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.658 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.659 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.659 * [backup-simplify]: Simplify (- 0) into 0 3.659 * [backup-simplify]: Simplify (+ 0 0) into 0 3.659 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [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 3.663 * [taylor]: Taking taylor expansion of 0 in y 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify 1 into 1 3.663 * * * [progress]: simplifying candidates 3.666 * [simplify]: Simplifying: (expm1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (log1p (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (- (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))) (/ (* (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))) (fma x x (- (* y (* y 4.0)))) (fma (- y) (* y 4.0) (* y (* y 4.0))) (expm1 (- (* x x) (* (* y 4.0) y))) (log1p (- (* 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)))) (- (* (* 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)) (expm1 (+ (* x x) (* (* y 4.0) y))) (log1p (+ (* x x) (* (* y 4.0) y))) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) (expm1 (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (log1p (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (- 1) (- (- (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))))) (- 0 (- (log (+ (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))))) (- 0 (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (- (log 1) (- (log (+ (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))))) (- (log 1) (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (log (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (exp (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))))) (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (* (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))) (cbrt (/ 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)))) (/ 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))))) (sqrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (sqrt (/ 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)))) (/ (* (cbrt 1) (cbrt 1)) (* (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 1) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (cbrt 1) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (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 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))))) (/ (cbrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) 1)) (/ (cbrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) 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2)) -1.0 1 1 3.669 * * [simplify]: iteration 0: 205 enodes 3.751 * * [simplify]: iteration 1: 528 enodes 3.946 * * [simplify]: iteration 2: 1696 enodes 5.332 * * [simplify]: iteration complete: 5001 enodes 5.332 * * [simplify]: Extracting #0: cost 88 inf + 0 5.334 * * [simplify]: Extracting #1: cost 541 inf + 3 5.345 * * [simplify]: Extracting #2: cost 1065 inf + 45108 5.423 * * [simplify]: Extracting #3: cost 348 inf + 228769 5.542 * * [simplify]: Extracting #4: cost 79 inf + 295479 5.664 * * [simplify]: Extracting #5: cost 13 inf + 305491 5.796 * * [simplify]: Extracting #6: cost 0 inf + 309477 5.920 * [simplify]: Simplified to: (expm1 (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0)))) (log1p (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0)))) (log (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0)))) (log (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0)))) (exp (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0)))) (* (/ (fma (* y y) 4.0 (* x x)) (- (* 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(/ (sqrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (/ 1 (sqrt (fma (* y y) 4.0 (* x x)))) (/ (- (* x x) (* (* y y) 4.0)) (sqrt (fma (* y y) 4.0 (* x x)))) (* (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (- (* x x) (* (* y y) 4.0)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (fma (* y y) 4.0 (* x x))) (sqrt (- (* x x) (* (* y y) 4.0))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (fma (* y y) 4.0 (* x x))) 1 (/ (- (* x x) (* (* y y) 4.0)) (fma (* y y) 4.0 (* x x))) 1 (/ (- (* x x) (* (* y y) 4.0)) (fma (* y y) 4.0 (* x x))) (/ 1 (fma (* y y) 4.0 (* x x))) (- (* x x) (* (* y y) 4.0)) (/ (- (* (* (* x x) x) (* (* x x) x)) (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* y (* y y)))) (fma (* y y) 4.0 (* x x))) (/ 1 (fma 4.0 (* (* y y) (fma (* y y) 4.0 (* x x))) (* (* x x) (* x x)))) (/ (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (fma (* y y) 4.0 (* x x))) (/ 1 (fma (* y y) 4.0 (* x x))) (/ (/ 1 (cbrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (cbrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (/ 1 (cbrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (/ 1 (sqrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (/ 1 (sqrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (* (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (fma (* y y) 4.0 (* x x)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (fma (* y y) 4.0 (* x x))))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (fma (* y y) 4.0 (* x x)))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (* (cbrt (fma (* y y) 4.0 (* x x))) (cbrt (fma (* y y) 4.0 (* x x))))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (cbrt (fma (* y y) 4.0 (* x x)))) (* (/ 1 (cbrt (fma (* y y) 4.0 (* x x)))) (/ 1 (cbrt (fma (* y y) 4.0 (* x x))))) (/ (- (* x x) (* (* y y) 4.0)) (cbrt (fma (* y y) 4.0 (* x x)))) (* (/ (cbrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (cbrt (- (* x x) (* (* y y) 4.0)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (/ 1 (sqrt (fma (* y y) 4.0 (* x x)))) (/ (- (* x x) (* (* y y) 4.0)) (sqrt (fma (* y y) 4.0 (* x x)))) (* (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (- (* x x) (* (* y y) 4.0)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (fma (* y y) 4.0 (* x x))) (sqrt (- (* x x) (* (* y y) 4.0))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (fma (* y y) 4.0 (* x x))) 1 (/ (- (* x x) (* (* y y) 4.0)) (fma (* y y) 4.0 (* x x))) 1 (/ (- (* x x) (* (* y y) 4.0)) (fma (* y y) 4.0 (* x x))) (/ 1 (fma (* y y) 4.0 (* x x))) (- (* x x) (* (* y y) 4.0)) (/ (- (* (* (* x x) x) (* (* x x) x)) (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* y (* y y)))) (fma (* y y) 4.0 (* x x))) (/ 1 (fma 4.0 (* (* y y) (fma (* y y) 4.0 (* x x))) (* (* x x) (* x x)))) (/ (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (fma (* y y) 4.0 (* x x))) (/ 1 (fma (* y y) 4.0 (* x x))) (/ (/ 1 (cbrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (cbrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (/ 1 (cbrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (/ 1 (sqrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (/ 1 (sqrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (* (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (fma (* y y) 4.0 (* x x)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (fma (* y y) 4.0 (* x x))))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (fma (* y y) 4.0 (* x x)))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (* (cbrt (fma (* y y) 4.0 (* x x))) (cbrt (fma (* y y) 4.0 (* x x))))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (cbrt (fma (* y y) 4.0 (* x x)))) (* (/ 1 (cbrt (fma (* y y) 4.0 (* x x)))) (/ 1 (cbrt (fma (* y y) 4.0 (* x x))))) (/ (- (* x x) (* (* y y) 4.0)) (cbrt (fma (* y y) 4.0 (* x x)))) (* (/ (cbrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (cbrt (- (* x x) (* (* y y) 4.0)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (/ 1 (sqrt (fma (* y y) 4.0 (* x x)))) (/ (- (* x x) (* (* y y) 4.0)) (sqrt (fma (* y y) 4.0 (* x x)))) (* (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (- (* x x) (* (* y y) 4.0)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (fma (* y y) 4.0 (* x x))) (sqrt (- (* x x) (* (* y y) 4.0))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (fma (* y y) 4.0 (* x x))) 1 (/ (- (* x x) (* (* y y) 4.0)) (fma (* y y) 4.0 (* x x))) 1 (/ (- (* x x) (* (* y y) 4.0)) (fma (* y y) 4.0 (* x x))) (/ 1 (fma (* y y) 4.0 (* x x))) (- (* x x) (* (* y y) 4.0)) (/ (- (* (* (* x x) x) (* (* x x) x)) (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* y (* y y)))) (fma (* y y) 4.0 (* x x))) (/ 1 (fma 4.0 (* (* y y) (fma (* y y) 4.0 (* x x))) (* (* x x) (* x x)))) (/ (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (fma (* y y) 4.0 (* x x))) (/ 1 (fma (* y y) 4.0 (* x x))) (/ (- (* x x) (* (* y y) 4.0)) (fma (* y y) 4.0 (* x x))) (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))) (/ (/ 1 (cbrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (cbrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (/ 1 (sqrt (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))))) (* (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (fma (* y y) 4.0 (* x x)))) (/ (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (fma (* y y) 4.0 (* x x))))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (* (cbrt (fma (* y y) 4.0 (* x x))) (cbrt (fma (* y y) 4.0 (* x x))))) (* (/ 1 (cbrt (fma (* y y) 4.0 (* x x)))) (/ 1 (cbrt (fma (* y y) 4.0 (* x x))))) (* (/ (cbrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (cbrt (- (* x x) (* (* y y) 4.0)))) (/ (sqrt (- (* x x) (* (* y y) 4.0))) (sqrt (fma (* y y) 4.0 (* x x)))) (/ 1 (sqrt (fma (* y y) 4.0 (* x x)))) (* (cbrt (- (* x x) (* (* y y) 4.0))) (cbrt (- (* x x) (* (* y y) 4.0)))) (sqrt (- (* x x) (* (* y y) 4.0))) 1 1 (/ 1 (fma (* y y) 4.0 (* x x))) (/ (- (* (* (* x x) x) (* (* x x) x)) (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* y (* y y)))) (fma (* y y) 4.0 (* x x))) (/ (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (fma (* y y) 4.0 (* x x))) (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))) (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))) (/ (fma (* y y) 4.0 (* x x)) (- (* x x) (* (* y y) 4.0))) (/ 1 (fma (* y y) 4.0 (* x x))) -1.0 1 1 (- (* x x) (* (* y y) 4.0)) (- (* x x) (* (* y y) 4.0)) (- (* x x) (* (* y y) 4.0)) (fma (* y y) 4.0 (* x x)) (fma (* y y) 4.0 (* x x)) (fma (* y y) 4.0 (* x x)) -1.0 1 1 5.948 * * * [progress]: adding candidates to table 6.852 * * [progress]: iteration 3 / 4 6.852 * * * [progress]: picking best candidate 6.857 * * * * [pick]: Picked # 6.857 * * * [progress]: localizing error 6.858 * * * [progress]: generating rewritten candidates 6.858 * * * [progress]: generating series expansions 6.858 * * * [progress]: simplifying candidates 6.858 * [simplify]: Simplifying: 6.858 * * [simplify]: iteration 0: 0 enodes 6.858 * * [simplify]: iteration complete: 0 enodes 6.858 * * [simplify]: Extracting #0: cost 0 inf + 0 6.858 * [simplify]: Simplified to: 6.858 * * * [progress]: adding candidates to table 6.859 * * [progress]: iteration 4 / 4 6.859 * * * [progress]: picking best candidate 6.862 * * * * [pick]: Picked # 6.862 * * * [progress]: localizing error 6.862 * * * [progress]: generating rewritten candidates 6.862 * * * [progress]: generating series expansions 6.863 * * * [progress]: simplifying candidates 6.863 * [simplify]: Simplifying: 6.863 * * [simplify]: iteration 0: 0 enodes 6.863 * * [simplify]: iteration complete: 0 enodes 6.863 * * [simplify]: Extracting #0: cost 0 inf + 0 6.863 * [simplify]: Simplified to: 6.863 * * * [progress]: adding candidates to table 6.863 * [progress]: [Phase 3 of 3] Extracting. 6.863 * * [regime]: Finding splitpoints for: (# # #) 6.864 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x) 6.864 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # #) 6.936 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 6.993 * * * * [regimes]: Trying to branch on y from (# # #) 7.056 * * * * [regimes]: Trying to branch on x from (# # #) 7.137 * * * [regime]: Found split indices: #