19.354 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: Extracting # 1 : cost 0 0.049 * * [simplify]: Extracting # 2 : cost 0 0.049 * * [simplify]: Extracting # 3 : cost 0 0.049 * * [simplify]: Extracting # 4 : cost 0 0.050 * * [simplify]: Extracting # 5 : cost 0 0.050 * * [simplify]: iteration 0 : 9 enodes (cost 15 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: Extracting # 1 : cost 0 0.062 * * [simplify]: Extracting # 2 : cost 0 0.062 * * [simplify]: iteration 2 : 48 enodes (cost 15 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: Extracting # 1 : cost 0 0.082 * * [simplify]: Extracting # 2 : cost 0 0.082 * * [simplify]: iteration 3 : 102 enodes (cost 15 ) 0.105 * * [simplify]: Extracting # 0 : cost 0 0.105 * * [simplify]: Extracting # 1 : cost 0 0.105 * * [simplify]: Extracting # 2 : cost 0 0.105 * * [simplify]: iteration 4 : 205 enodes (cost 15 ) 0.169 * * [simplify]: Extracting # 0 : cost 0 0.170 * * [simplify]: Extracting # 1 : cost 0 0.170 * * [simplify]: Extracting # 2 : cost 0 0.171 * * [simplify]: iteration 5 : 387 enodes (cost 15 ) 0.374 * * [simplify]: Extracting # 0 : cost 0 0.375 * * [simplify]: Extracting # 1 : cost 0 0.376 * * [simplify]: Extracting # 2 : cost 0 0.378 * * [simplify]: Extracting # 3 : cost 0 0.379 * * [simplify]: iteration 6 : 831 enodes (cost 15 ) 0.870 * * [simplify]: Extracting # 0 : cost 0 0.878 * * [simplify]: Extracting # 1 : cost 0 0.881 * * [simplify]: Extracting # 2 : cost 0 0.889 * * [simplify]: Extracting # 3 : cost 0 0.895 * * [simplify]: Extracting # 4 : cost 0 0.899 * * [simplify]: iteration 7 : 3622 enodes (cost 15 ) 3.163 * * [simplify]: Extracting # 0 : cost 0 3.188 * * [simplify]: Extracting # 1 : cost 0 3.192 * * [simplify]: Extracting # 2 : cost 0 3.197 * * [simplify]: iteration done: 5000 enodes (cost 15 ) 3.198 * [simplify]: Simplified to: (* (/ (- x y) (+ (* x x) (* y y))) (+ y x)) 3.201 * * [progress]: iteration 1 / 4 3.201 * * * [progress]: picking best candidate 3.206 * * * * [pick]: Picked # 3.206 * * * [progress]: localizing error 3.221 * * * [progress]: generating rewritten candidates 3.221 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.254 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.265 * * * [progress]: generating series expansions 3.265 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.265 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3.265 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 3.265 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 3.265 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 3.265 * [taylor]: Taking taylor expansion of (+ x y) in y 3.265 * [taylor]: Taking taylor expansion of x in y 3.265 * [backup-simplify]: Simplify x into x 3.265 * [taylor]: Taking taylor expansion of y in y 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [taylor]: Taking taylor expansion of (- x y) in y 3.265 * [taylor]: Taking taylor expansion of x in y 3.265 * [backup-simplify]: Simplify x into x 3.266 * [taylor]: Taking taylor expansion of y in y 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.266 * [taylor]: Taking taylor expansion of x in y 3.266 * [backup-simplify]: Simplify x into x 3.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.266 * [taylor]: Taking taylor expansion of y in y 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.266 * [backup-simplify]: Simplify (+ x 0) into x 3.267 * [backup-simplify]: Simplify (- 0) into 0 3.267 * [backup-simplify]: Simplify (+ x 0) into x 3.267 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.267 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.267 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.267 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.267 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 3.267 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 3.267 * [taylor]: Taking taylor expansion of (+ x y) in x 3.267 * [taylor]: Taking taylor expansion of x in x 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [taylor]: Taking taylor expansion of y in x 3.267 * [backup-simplify]: Simplify y into y 3.267 * [taylor]: Taking taylor expansion of (- x y) in x 3.267 * [taylor]: Taking taylor expansion of x in x 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [taylor]: Taking taylor expansion of y in x 3.268 * [backup-simplify]: Simplify y into y 3.268 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.268 * [taylor]: Taking taylor expansion of x in x 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.268 * [taylor]: Taking taylor expansion of y in x 3.268 * [backup-simplify]: Simplify y into y 3.268 * [backup-simplify]: Simplify (+ 0 y) into y 3.268 * [backup-simplify]: Simplify (- y) into (- y) 3.268 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 3.268 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 3.268 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.268 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.268 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 3.268 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 3.269 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 3.269 * [taylor]: Taking taylor expansion of (+ x y) in x 3.269 * [taylor]: Taking taylor expansion of x in x 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [taylor]: Taking taylor expansion of y in x 3.269 * [backup-simplify]: Simplify y into y 3.269 * [taylor]: Taking taylor expansion of (- x y) in x 3.269 * [taylor]: Taking taylor expansion of x in x 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [taylor]: Taking taylor expansion of y in x 3.269 * [backup-simplify]: Simplify y into y 3.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.269 * [taylor]: Taking taylor expansion of x in x 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.269 * [taylor]: Taking taylor expansion of y in x 3.269 * [backup-simplify]: Simplify y into y 3.269 * [backup-simplify]: Simplify (+ 0 y) into y 3.269 * [backup-simplify]: Simplify (- y) into (- y) 3.269 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 3.269 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 3.269 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.270 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.270 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 3.270 * [taylor]: Taking taylor expansion of -1 in y 3.270 * [backup-simplify]: Simplify -1 into -1 3.270 * [backup-simplify]: Simplify -1 into -1 3.271 * [backup-simplify]: Simplify (- 0) into 0 3.271 * [backup-simplify]: Simplify (+ 1 0) into 1 3.271 * [backup-simplify]: Simplify (+ 1 0) into 1 3.272 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 3.272 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.272 * [backup-simplify]: Simplify (+ 0 0) into 0 3.272 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 3.272 * [taylor]: Taking taylor expansion of 0 in y 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify (- 0) into 0 3.273 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 3.274 * [backup-simplify]: Simplify (* 1 1) into 1 3.275 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.275 * [backup-simplify]: Simplify (+ 1 0) into 1 3.275 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 3.275 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.275 * [taylor]: Taking taylor expansion of 2 in y 3.275 * [backup-simplify]: Simplify 2 into 2 3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.275 * [taylor]: Taking taylor expansion of y in y 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 1 into 1 3.276 * [backup-simplify]: Simplify (* 1 1) into 1 3.276 * [backup-simplify]: Simplify (/ 1 1) into 1 3.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (- 0) into 0 3.279 * [backup-simplify]: Simplify (+ 0 0) into 0 3.279 * [backup-simplify]: Simplify (+ 0 0) into 0 3.280 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.281 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.281 * [backup-simplify]: Simplify (+ 0 0) into 0 3.281 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 3.281 * [taylor]: Taking taylor expansion of 0 in y 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify -1 into -1 3.282 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.282 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.282 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.282 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 3.282 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 3.282 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.282 * [taylor]: Taking taylor expansion of x in y 3.282 * [backup-simplify]: Simplify x into x 3.282 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.282 * [taylor]: Taking taylor expansion of y in y 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.282 * [backup-simplify]: Simplify (/ 1 1) into 1 3.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.282 * [taylor]: Taking taylor expansion of y in y 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.283 * [backup-simplify]: Simplify (/ 1 1) into 1 3.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.283 * [taylor]: Taking taylor expansion of x in y 3.283 * [backup-simplify]: Simplify x into x 3.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.283 * [taylor]: Taking taylor expansion of x in y 3.283 * [backup-simplify]: Simplify x into x 3.283 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.283 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.283 * [taylor]: Taking taylor expansion of y in y 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 1 into 1 3.283 * [backup-simplify]: Simplify (* 1 1) into 1 3.284 * [backup-simplify]: Simplify (/ 1 1) into 1 3.284 * [backup-simplify]: Simplify (- 1) into -1 3.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.285 * [backup-simplify]: Simplify (+ 1 0) into 1 3.285 * [backup-simplify]: Simplify (* -1 1) into -1 3.285 * [backup-simplify]: Simplify (+ 0 1) into 1 3.285 * [backup-simplify]: Simplify (/ -1 1) into -1 3.285 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.285 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 3.285 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.285 * [taylor]: Taking taylor expansion of x in x 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.286 * [taylor]: Taking taylor expansion of y in x 3.286 * [backup-simplify]: Simplify y into y 3.286 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.286 * [taylor]: Taking taylor expansion of y in x 3.286 * [backup-simplify]: Simplify y into y 3.286 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.286 * [taylor]: Taking taylor expansion of x in x 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.286 * [taylor]: Taking taylor expansion of x in x 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (* 1 1) into 1 3.287 * [backup-simplify]: Simplify (/ 1 1) into 1 3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.287 * [taylor]: Taking taylor expansion of y in x 3.287 * [backup-simplify]: Simplify y into y 3.287 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.287 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.287 * [backup-simplify]: Simplify (+ 1 0) into 1 3.288 * [backup-simplify]: Simplify (+ 0 1) into 1 3.288 * [backup-simplify]: Simplify (* 1 1) into 1 3.288 * [backup-simplify]: Simplify (+ 1 0) into 1 3.288 * [backup-simplify]: Simplify (/ 1 1) into 1 3.289 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.289 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 3.289 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.289 * [taylor]: Taking taylor expansion of x in x 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (/ 1 1) into 1 3.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.289 * [taylor]: Taking taylor expansion of y in x 3.289 * [backup-simplify]: Simplify y into y 3.289 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.289 * [taylor]: Taking taylor expansion of y in x 3.289 * [backup-simplify]: Simplify y into y 3.289 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.289 * [taylor]: Taking taylor expansion of x in x 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (/ 1 1) into 1 3.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.290 * [taylor]: Taking taylor expansion of x in x 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.290 * [backup-simplify]: Simplify (* 1 1) into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.290 * [taylor]: Taking taylor expansion of y in x 3.290 * [backup-simplify]: Simplify y into y 3.290 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.290 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.291 * [backup-simplify]: Simplify (+ 1 0) into 1 3.291 * [backup-simplify]: Simplify (+ 0 1) into 1 3.291 * [backup-simplify]: Simplify (* 1 1) into 1 3.291 * [backup-simplify]: Simplify (+ 1 0) into 1 3.292 * [backup-simplify]: Simplify (/ 1 1) into 1 3.292 * [taylor]: Taking taylor expansion of 1 in y 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 3.293 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 3.293 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.294 * [taylor]: Taking taylor expansion of 0 in y 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.296 * [backup-simplify]: Simplify (- 0) into 0 3.296 * [backup-simplify]: Simplify (+ 0 0) into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.299 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 3.299 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 3.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.299 * [taylor]: Taking taylor expansion of 2 in y 3.299 * [backup-simplify]: Simplify 2 into 2 3.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.299 * [taylor]: Taking taylor expansion of y in y 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (* 1 1) into 1 3.300 * [backup-simplify]: Simplify (/ 1 1) into 1 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.304 * [backup-simplify]: Simplify (- 0) into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify (+ 0 0) into 0 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.308 * [backup-simplify]: Simplify (- 0) into 0 3.308 * [backup-simplify]: Simplify (+ 0 0) into 0 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.312 * [backup-simplify]: Simplify (+ 0 0) into 0 3.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 3.314 * [taylor]: Taking taylor expansion of 0 in y 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3.314 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 3.314 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.314 * [taylor]: Taking taylor expansion of -1 in y 3.314 * [backup-simplify]: Simplify -1 into -1 3.314 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.314 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 3.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.315 * [taylor]: Taking taylor expansion of y in y 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (/ 1 1) into 1 3.315 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.315 * [taylor]: Taking taylor expansion of x in y 3.315 * [backup-simplify]: Simplify x into x 3.315 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.315 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 3.315 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.315 * [taylor]: Taking taylor expansion of y in y 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (/ 1 1) into 1 3.316 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.316 * [taylor]: Taking taylor expansion of x in y 3.316 * [backup-simplify]: Simplify x into x 3.316 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.316 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.316 * [taylor]: Taking taylor expansion of x in y 3.316 * [backup-simplify]: Simplify x into x 3.316 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.316 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.316 * [taylor]: Taking taylor expansion of y in y 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (* 1 1) into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [backup-simplify]: Simplify (+ 1 0) into 1 3.318 * [backup-simplify]: Simplify (+ 1 0) into 1 3.318 * [backup-simplify]: Simplify (* 1 1) into 1 3.318 * [backup-simplify]: Simplify (+ 0 1) into 1 3.319 * [backup-simplify]: Simplify (/ 1 1) into 1 3.319 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.319 * [taylor]: Taking taylor expansion of -1 in x 3.319 * [backup-simplify]: Simplify -1 into -1 3.319 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.319 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 3.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.319 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.319 * [taylor]: Taking taylor expansion of y in x 3.319 * [backup-simplify]: Simplify y into y 3.319 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.319 * [taylor]: Taking taylor expansion of x in x 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.320 * [backup-simplify]: Simplify (/ 1 1) into 1 3.320 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.320 * [taylor]: Taking taylor expansion of y in x 3.320 * [backup-simplify]: Simplify y into y 3.320 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.320 * [taylor]: Taking taylor expansion of x in x 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [backup-simplify]: Simplify (/ 1 1) into 1 3.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.320 * [taylor]: Taking taylor expansion of x in x 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.321 * [backup-simplify]: Simplify (* 1 1) into 1 3.321 * [backup-simplify]: Simplify (/ 1 1) into 1 3.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.321 * [taylor]: Taking taylor expansion of y in x 3.321 * [backup-simplify]: Simplify y into y 3.321 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.321 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.322 * [backup-simplify]: Simplify (+ 0 1) into 1 3.322 * [backup-simplify]: Simplify (- 1) into -1 3.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.323 * [backup-simplify]: Simplify (* 1 -1) into -1 3.323 * [backup-simplify]: Simplify (+ 1 0) into 1 3.324 * [backup-simplify]: Simplify (/ -1 1) into -1 3.324 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.324 * [taylor]: Taking taylor expansion of -1 in x 3.324 * [backup-simplify]: Simplify -1 into -1 3.324 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.324 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 3.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.324 * [taylor]: Taking taylor expansion of y in x 3.324 * [backup-simplify]: Simplify y into y 3.324 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (/ 1 1) into 1 3.324 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.324 * [taylor]: Taking taylor expansion of y in x 3.325 * [backup-simplify]: Simplify y into y 3.325 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.325 * [taylor]: Taking taylor expansion of x in x 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (/ 1 1) into 1 3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.325 * [taylor]: Taking taylor expansion of x in x 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (* 1 1) into 1 3.326 * [backup-simplify]: Simplify (/ 1 1) into 1 3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.326 * [taylor]: Taking taylor expansion of y in x 3.326 * [backup-simplify]: Simplify y into y 3.326 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.326 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.327 * [backup-simplify]: Simplify (+ 0 1) into 1 3.327 * [backup-simplify]: Simplify (- 1) into -1 3.327 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.328 * [backup-simplify]: Simplify (* 1 -1) into -1 3.328 * [backup-simplify]: Simplify (+ 1 0) into 1 3.328 * [backup-simplify]: Simplify (/ -1 1) into -1 3.329 * [backup-simplify]: Simplify (* -1 -1) into 1 3.329 * [taylor]: Taking taylor expansion of 1 in y 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.330 * [backup-simplify]: Simplify (- 0) into 0 3.330 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.331 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.334 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.334 * [taylor]: Taking taylor expansion of 0 in y 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (- 0) into 0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 3.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.338 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 3.339 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 3.339 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 3.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.339 * [taylor]: Taking taylor expansion of 2 in y 3.339 * [backup-simplify]: Simplify 2 into 2 3.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.339 * [taylor]: Taking taylor expansion of y in y 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (* 1 1) into 1 3.340 * [backup-simplify]: Simplify (/ 1 1) into 1 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.344 * [backup-simplify]: Simplify (- 0) into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (- 0) into 0 3.346 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.347 * [backup-simplify]: Simplify (+ 0 0) into 0 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.350 * [backup-simplify]: Simplify (+ 0 0) into 0 3.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 3.357 * [taylor]: Taking taylor expansion of 0 in y 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.357 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 3.357 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.357 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.357 * [taylor]: Taking taylor expansion of x in y 3.357 * [backup-simplify]: Simplify x into x 3.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.357 * [taylor]: Taking taylor expansion of y in y 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.358 * [taylor]: Taking taylor expansion of x in x 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.358 * [taylor]: Taking taylor expansion of x in x 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 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 (+ 0 (pow y 2)) into (pow y 2) 3.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.358 * [taylor]: Taking taylor expansion of y in y 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.359 * [backup-simplify]: Simplify (+ 0 0) into 0 3.359 * [taylor]: Taking taylor expansion of 0 in y 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify (* 1 1) into 1 3.359 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.359 * [backup-simplify]: Simplify (+ 1 0) into 1 3.360 * [taylor]: Taking taylor expansion of 1 in y 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify (* 1 1) into 1 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.361 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.361 * [backup-simplify]: Simplify (+ 0 0) into 0 3.361 * [taylor]: Taking taylor expansion of 0 in y 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.363 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [taylor]: Taking taylor expansion of 0 in y 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 3.363 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.363 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.363 * [taylor]: Taking taylor expansion of x in y 3.363 * [backup-simplify]: Simplify x into x 3.363 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.364 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.364 * [taylor]: Taking taylor expansion of y in y 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (* 1 1) into 1 3.364 * [backup-simplify]: Simplify (/ 1 1) into 1 3.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.364 * [taylor]: Taking taylor expansion of x in x 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (* 1 1) into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.365 * [taylor]: Taking taylor expansion of y in x 3.365 * [backup-simplify]: Simplify y into y 3.365 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.365 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.365 * [taylor]: Taking taylor expansion of x in x 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (* 1 1) into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.366 * [taylor]: Taking taylor expansion of y in x 3.366 * [backup-simplify]: Simplify y into y 3.366 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.366 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.366 * [backup-simplify]: Simplify (+ 1 0) into 1 3.366 * [taylor]: Taking taylor expansion of 1 in y 3.366 * [backup-simplify]: Simplify 1 into 1 3.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [taylor]: Taking taylor expansion of 0 in y 3.367 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.368 * [taylor]: Taking taylor expansion of y in y 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (* 1 1) into 1 3.369 * [backup-simplify]: Simplify (/ 1 1) into 1 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.370 * [backup-simplify]: Simplify (+ 0 0) into 0 3.370 * [taylor]: Taking taylor expansion of 0 in y 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.373 * [taylor]: Taking taylor expansion of 0 in y 3.373 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.375 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.375 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.375 * [taylor]: Taking taylor expansion of x in y 3.375 * [backup-simplify]: Simplify x into x 3.375 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.375 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.375 * [taylor]: Taking taylor expansion of y in y 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (* 1 1) into 1 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.376 * [taylor]: Taking taylor expansion of x in x 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (* 1 1) into 1 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.376 * [taylor]: Taking taylor expansion of y in x 3.376 * [backup-simplify]: Simplify y into y 3.376 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.377 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.377 * [taylor]: Taking taylor expansion of x in x 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (* 1 1) into 1 3.377 * [backup-simplify]: Simplify (/ 1 1) into 1 3.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.377 * [taylor]: Taking taylor expansion of y in x 3.377 * [backup-simplify]: Simplify y into y 3.377 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.377 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.378 * [backup-simplify]: Simplify (+ 1 0) into 1 3.378 * [taylor]: Taking taylor expansion of 1 in y 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [taylor]: Taking taylor expansion of 0 in y 3.379 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.381 * [taylor]: Taking taylor expansion of y in y 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 1 into 1 3.382 * [backup-simplify]: Simplify (* 1 1) into 1 3.382 * [backup-simplify]: Simplify (/ 1 1) into 1 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [backup-simplify]: Simplify 1 into 1 3.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.384 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [taylor]: Taking taylor expansion of 0 in y 3.385 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.390 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [taylor]: Taking taylor expansion of 0 in y 3.390 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.392 * * * [progress]: simplifying candidates 3.394 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 3.396 * * [simplify]: Extracting # 0 : cost 0 3.396 * * [simplify]: Extracting # 1 : cost 0 3.396 * * [simplify]: Extracting # 2 : cost 0 3.397 * * [simplify]: Extracting # 3 : cost 0 3.397 * * [simplify]: Extracting # 4 : cost 0 3.397 * * [simplify]: Extracting # 5 : cost 0 3.397 * * [simplify]: Extracting # 6 : cost 0 3.397 * * [simplify]: Extracting # 7 : cost 0 3.398 * * [simplify]: iteration 0 : 91 enodes (cost 826 ) 3.424 * * [simplify]: Extracting # 0 : cost 0 3.424 * * [simplify]: Extracting # 1 : cost 0 3.424 * * [simplify]: Extracting # 2 : cost 0 3.425 * * [simplify]: Extracting # 3 : cost 0 3.425 * * [simplify]: Extracting # 4 : cost 0 3.426 * * [simplify]: iteration 1 : 346 enodes (cost 802 ) 3.681 * * [simplify]: Extracting # 0 : cost 0 3.685 * * [simplify]: Extracting # 1 : cost 0 3.688 * * [simplify]: Extracting # 2 : cost 0 3.695 * * [simplify]: Extracting # 3 : cost 0 3.699 * * [simplify]: Extracting # 4 : cost 0 3.702 * * [simplify]: Extracting # 5 : cost 0 3.707 * * [simplify]: iteration 2 : 2658 enodes (cost 666 ) 4.747 * * [simplify]: Extracting # 0 : cost 0 4.753 * * [simplify]: Extracting # 1 : cost 0 4.761 * * [simplify]: Extracting # 2 : cost 0 4.768 * * [simplify]: iteration done: 5000 enodes (cost 666 ) 4.769 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (pow (* (- x y) (+ x y)) 3) (pow (+ (* x x) (* y y)) 3)) (/ (pow (* (- x y) (+ x y)) 3) (pow (+ (* x x) (* y y)) 3)) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow x 6) (pow y 6))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (+ x y))) (* (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y (+ x y)))) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (- x y) (+ (* x x) (* y (+ x y))))) (* (* (+ (* y (- y x)) (* x x)) (+ x y)) (+ (* x x) (* y y))) (- (pow x 4) (pow y 4)) (* (+ (* x x) (* y y)) (+ (* y (- y x)) (* x x))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (* (- x y) (+ x y)) -1 1 1 (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 4.769 * * * [progress]: adding candidates to table 4.992 * * [progress]: iteration 2 / 4 4.992 * * * [progress]: picking best candidate 5.002 * * * * [pick]: Picked # 5.002 * * * [progress]: localizing error 5.027 * * * [progress]: generating rewritten candidates 5.027 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 5.061 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 5.122 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 5.133 * * * [progress]: generating series expansions 5.133 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 5.133 * [backup-simplify]: Simplify (/ (- x y) (+ (* x x) (* y y))) into (/ (- x y) (+ (pow x 2) (pow y 2))) 5.133 * [approximate]: Taking taylor expansion of (/ (- x y) (+ (pow x 2) (pow y 2))) in (x y) around 0 5.133 * [taylor]: Taking taylor expansion of (/ (- x y) (+ (pow x 2) (pow y 2))) in y 5.133 * [taylor]: Taking taylor expansion of (- x y) in y 5.134 * [taylor]: Taking taylor expansion of x in y 5.134 * [backup-simplify]: Simplify x into x 5.134 * [taylor]: Taking taylor expansion of y in y 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.134 * [taylor]: Taking taylor expansion of x in y 5.134 * [backup-simplify]: Simplify x into x 5.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.134 * [taylor]: Taking taylor expansion of y in y 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (- 0) into 0 5.134 * [backup-simplify]: Simplify (+ x 0) into x 5.134 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.134 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.134 * [backup-simplify]: Simplify (/ x (pow x 2)) into (/ 1 x) 5.134 * [taylor]: Taking taylor expansion of (/ (- x y) (+ (pow x 2) (pow y 2))) in x 5.134 * [taylor]: Taking taylor expansion of (- x y) in x 5.135 * [taylor]: Taking taylor expansion of x in x 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [taylor]: Taking taylor expansion of y in x 5.135 * [backup-simplify]: Simplify y into y 5.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.135 * [taylor]: Taking taylor expansion of x in x 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.135 * [taylor]: Taking taylor expansion of y in x 5.135 * [backup-simplify]: Simplify y into y 5.135 * [backup-simplify]: Simplify (- y) into (- y) 5.135 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 5.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.135 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.135 * [backup-simplify]: Simplify (/ (- y) (pow y 2)) into (/ -1 y) 5.135 * [taylor]: Taking taylor expansion of (/ (- x y) (+ (pow x 2) (pow y 2))) in x 5.135 * [taylor]: Taking taylor expansion of (- x y) in x 5.135 * [taylor]: Taking taylor expansion of x in x 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [taylor]: Taking taylor expansion of y in x 5.135 * [backup-simplify]: Simplify y into y 5.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.135 * [taylor]: Taking taylor expansion of x in x 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.135 * [taylor]: Taking taylor expansion of y in x 5.135 * [backup-simplify]: Simplify y into y 5.135 * [backup-simplify]: Simplify (- y) into (- y) 5.135 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 5.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.135 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.136 * [backup-simplify]: Simplify (/ (- y) (pow y 2)) into (/ -1 y) 5.136 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.136 * [taylor]: Taking taylor expansion of -1 in y 5.136 * [backup-simplify]: Simplify -1 into -1 5.136 * [taylor]: Taking taylor expansion of y in y 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 1 into 1 5.136 * [backup-simplify]: Simplify (/ -1 1) into -1 5.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify (- 0) into 0 5.140 * [backup-simplify]: Simplify (+ 1 0) into 1 5.140 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.140 * [backup-simplify]: Simplify (+ 0 0) into 0 5.140 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* (/ -1 y) (/ 0 (pow y 2))))) into (/ 1 (pow y 2)) 5.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.140 * [taylor]: Taking taylor expansion of y in y 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (* 1 1) into 1 5.141 * [backup-simplify]: Simplify (/ 1 1) into 1 5.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify (- 0) into 0 5.144 * [backup-simplify]: Simplify (+ 0 0) into 0 5.144 * [backup-simplify]: Simplify (* 1 1) into 1 5.144 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.145 * [backup-simplify]: Simplify (+ 1 0) into 1 5.145 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 y) (/ 1 (pow y 2))) (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into (/ 1 (pow y 3)) 5.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 5.145 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.145 * [taylor]: Taking taylor expansion of y in y 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (* 1 1) into 1 5.146 * [backup-simplify]: Simplify (* 1 1) into 1 5.146 * [backup-simplify]: Simplify (/ 1 1) into 1 5.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.153 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify (/ (- (/ 1 x) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.154 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.154 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.154 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 5.154 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.154 * [taylor]: Taking taylor expansion of x in y 5.154 * [backup-simplify]: Simplify x into x 5.154 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.154 * [taylor]: Taking taylor expansion of y in y 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (/ 1 1) into 1 5.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.155 * [taylor]: Taking taylor expansion of x in y 5.155 * [backup-simplify]: Simplify x into x 5.155 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.155 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.155 * [taylor]: Taking taylor expansion of y in y 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (* 1 1) into 1 5.156 * [backup-simplify]: Simplify (/ 1 1) into 1 5.156 * [backup-simplify]: Simplify (- 1) into -1 5.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.157 * [backup-simplify]: Simplify (+ 0 1) into 1 5.157 * [backup-simplify]: Simplify (/ -1 1) into -1 5.157 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.157 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 5.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.157 * [taylor]: Taking taylor expansion of x in x 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (/ 1 1) into 1 5.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.158 * [taylor]: Taking taylor expansion of y in x 5.158 * [backup-simplify]: Simplify y into y 5.158 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.158 * [taylor]: Taking taylor expansion of x in x 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (* 1 1) into 1 5.159 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.159 * [taylor]: Taking taylor expansion of y in x 5.159 * [backup-simplify]: Simplify y into y 5.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.159 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.159 * [backup-simplify]: Simplify (+ 1 0) into 1 5.159 * [backup-simplify]: Simplify (+ 1 0) into 1 5.160 * [backup-simplify]: Simplify (/ 1 1) into 1 5.160 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.160 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 5.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.160 * [taylor]: Taking taylor expansion of x in x 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (/ 1 1) into 1 5.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.160 * [taylor]: Taking taylor expansion of y in x 5.160 * [backup-simplify]: Simplify y into y 5.160 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.160 * [taylor]: Taking taylor expansion of x in x 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (* 1 1) into 1 5.161 * [backup-simplify]: Simplify (/ 1 1) into 1 5.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.161 * [taylor]: Taking taylor expansion of y in x 5.161 * [backup-simplify]: Simplify y into y 5.161 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.161 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.161 * [backup-simplify]: Simplify (+ 1 0) into 1 5.161 * [backup-simplify]: Simplify (+ 1 0) into 1 5.161 * [backup-simplify]: Simplify (/ 1 1) into 1 5.162 * [taylor]: Taking taylor expansion of 1 in y 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 5.162 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 5.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.164 * [backup-simplify]: Simplify (- (/ (- (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (- (/ 1 y)) 5.164 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 5.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.164 * [taylor]: Taking taylor expansion of y in y 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (/ 1 1) into 1 5.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.165 * [backup-simplify]: Simplify (- 0) into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.166 * [backup-simplify]: Simplify (- 0) into 0 5.166 * [backup-simplify]: Simplify (+ 0 0) into 0 5.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 y)) (/ 0 1)))) into (- (/ 1 (pow y 2))) 5.168 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 5.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.168 * [taylor]: Taking taylor expansion of y in y 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [backup-simplify]: Simplify (* 1 1) into 1 5.168 * [backup-simplify]: Simplify (/ 1 1) into 1 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (- 0) into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (- 0) into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.173 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.173 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.173 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 5.173 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.173 * [taylor]: Taking taylor expansion of y in y 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.173 * [backup-simplify]: Simplify (/ 1 1) into 1 5.173 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.173 * [taylor]: Taking taylor expansion of x in y 5.173 * [backup-simplify]: Simplify x into x 5.173 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.173 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.173 * [taylor]: Taking taylor expansion of x in y 5.173 * [backup-simplify]: Simplify x into x 5.173 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.173 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.173 * [taylor]: Taking taylor expansion of y in y 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.174 * [backup-simplify]: Simplify (* 1 1) into 1 5.174 * [backup-simplify]: Simplify (/ 1 1) into 1 5.174 * [backup-simplify]: Simplify (+ 1 0) into 1 5.174 * [backup-simplify]: Simplify (+ 0 1) into 1 5.175 * [backup-simplify]: Simplify (/ 1 1) into 1 5.175 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.175 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 5.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.175 * [taylor]: Taking taylor expansion of y in x 5.175 * [backup-simplify]: Simplify y into y 5.175 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.175 * [taylor]: Taking taylor expansion of x in x 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (/ 1 1) into 1 5.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.175 * [taylor]: Taking taylor expansion of x in x 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (* 1 1) into 1 5.176 * [backup-simplify]: Simplify (/ 1 1) into 1 5.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.176 * [taylor]: Taking taylor expansion of y in x 5.176 * [backup-simplify]: Simplify y into y 5.176 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.176 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.176 * [backup-simplify]: Simplify (- 1) into -1 5.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.177 * [backup-simplify]: Simplify (+ 1 0) into 1 5.177 * [backup-simplify]: Simplify (/ -1 1) into -1 5.177 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.177 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 5.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.177 * [taylor]: Taking taylor expansion of y in x 5.177 * [backup-simplify]: Simplify y into y 5.177 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.177 * [taylor]: Taking taylor expansion of x in x 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (/ 1 1) into 1 5.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.178 * [taylor]: Taking taylor expansion of x in x 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (* 1 1) into 1 5.178 * [backup-simplify]: Simplify (/ 1 1) into 1 5.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.179 * [taylor]: Taking taylor expansion of y in x 5.179 * [backup-simplify]: Simplify y into y 5.179 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.179 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.179 * [backup-simplify]: Simplify (- 1) into -1 5.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.180 * [backup-simplify]: Simplify (+ 1 0) into 1 5.180 * [backup-simplify]: Simplify (/ -1 1) into -1 5.180 * [taylor]: Taking taylor expansion of -1 in y 5.180 * [backup-simplify]: Simplify -1 into -1 5.180 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (- 0) into 0 5.181 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.183 * [backup-simplify]: Simplify (+ 0 0) into 0 5.184 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* -1 (/ 0 1)))) into (/ 1 y) 5.184 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.184 * [taylor]: Taking taylor expansion of y in y 5.184 * [backup-simplify]: Simplify 0 into 0 5.184 * [backup-simplify]: Simplify 1 into 1 5.184 * [backup-simplify]: Simplify (/ 1 1) into 1 5.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.187 * [backup-simplify]: Simplify (- 0) into 0 5.187 * [backup-simplify]: Simplify (+ 0 0) into 0 5.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.188 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* (/ 1 y) (/ 0 1)))) into (/ 1 (pow y 2)) 5.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.189 * [taylor]: Taking taylor expansion of y in y 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (* 1 1) into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * * * * [progress]: [ 2 / 3 ] generating series at (2) 5.193 * [backup-simplify]: Simplify (* (/ (- x y) (+ (* x x) (* y y))) (+ y x)) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 5.193 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 5.193 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 5.193 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 5.193 * [taylor]: Taking taylor expansion of (+ x y) in y 5.193 * [taylor]: Taking taylor expansion of x in y 5.193 * [backup-simplify]: Simplify x into x 5.193 * [taylor]: Taking taylor expansion of y in y 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [taylor]: Taking taylor expansion of (- x y) in y 5.193 * [taylor]: Taking taylor expansion of x in y 5.193 * [backup-simplify]: Simplify x into x 5.193 * [taylor]: Taking taylor expansion of y in y 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.193 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.193 * [taylor]: Taking taylor expansion of x in y 5.193 * [backup-simplify]: Simplify x into x 5.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.193 * [taylor]: Taking taylor expansion of y in y 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (+ x 0) into x 5.193 * [backup-simplify]: Simplify (- 0) into 0 5.194 * [backup-simplify]: Simplify (+ x 0) into x 5.194 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.194 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.194 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.194 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 5.194 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 5.194 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 5.194 * [taylor]: Taking taylor expansion of (+ x y) in x 5.194 * [taylor]: Taking taylor expansion of x in x 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [taylor]: Taking taylor expansion of y in x 5.194 * [backup-simplify]: Simplify y into y 5.194 * [taylor]: Taking taylor expansion of (- x y) in x 5.194 * [taylor]: Taking taylor expansion of x in x 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [taylor]: Taking taylor expansion of y in x 5.194 * [backup-simplify]: Simplify y into y 5.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.194 * [taylor]: Taking taylor expansion of x in x 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.194 * [taylor]: Taking taylor expansion of y in x 5.194 * [backup-simplify]: Simplify y into y 5.194 * [backup-simplify]: Simplify (+ 0 y) into y 5.194 * [backup-simplify]: Simplify (- y) into (- y) 5.194 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 5.194 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 5.194 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.194 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.195 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 5.195 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 5.195 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 5.195 * [taylor]: Taking taylor expansion of (+ x y) in x 5.195 * [taylor]: Taking taylor expansion of x in x 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [taylor]: Taking taylor expansion of y in x 5.195 * [backup-simplify]: Simplify y into y 5.195 * [taylor]: Taking taylor expansion of (- x y) in x 5.195 * [taylor]: Taking taylor expansion of x in x 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [taylor]: Taking taylor expansion of y in x 5.195 * [backup-simplify]: Simplify y into y 5.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.195 * [taylor]: Taking taylor expansion of x in x 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.195 * [taylor]: Taking taylor expansion of y in x 5.195 * [backup-simplify]: Simplify y into y 5.195 * [backup-simplify]: Simplify (+ 0 y) into y 5.195 * [backup-simplify]: Simplify (- y) into (- y) 5.195 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 5.195 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 5.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.195 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.196 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 5.196 * [taylor]: Taking taylor expansion of -1 in y 5.196 * [backup-simplify]: Simplify -1 into -1 5.196 * [backup-simplify]: Simplify -1 into -1 5.196 * [backup-simplify]: Simplify (- 0) into 0 5.196 * [backup-simplify]: Simplify (+ 1 0) into 1 5.196 * [backup-simplify]: Simplify (+ 1 0) into 1 5.196 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 5.196 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.197 * [backup-simplify]: Simplify (+ 0 0) into 0 5.197 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 5.197 * [taylor]: Taking taylor expansion of 0 in y 5.197 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify (- 0) into 0 5.197 * [backup-simplify]: Simplify (+ 0 0) into 0 5.198 * [backup-simplify]: Simplify (+ 0 0) into 0 5.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 5.198 * [backup-simplify]: Simplify (* 1 1) into 1 5.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.199 * [backup-simplify]: Simplify (+ 1 0) into 1 5.199 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 5.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.199 * [taylor]: Taking taylor expansion of 2 in y 5.199 * [backup-simplify]: Simplify 2 into 2 5.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.199 * [taylor]: Taking taylor expansion of y in y 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (* 1 1) into 1 5.200 * [backup-simplify]: Simplify (/ 1 1) into 1 5.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify (- 0) into 0 5.202 * [backup-simplify]: Simplify (+ 0 0) into 0 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.203 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 5.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.204 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.204 * [backup-simplify]: Simplify (+ 0 0) into 0 5.205 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 5.205 * [taylor]: Taking taylor expansion of 0 in y 5.205 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify -1 into -1 5.205 * [backup-simplify]: Simplify (* (/ (- (/ 1 x) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (+ (/ 1 y) (/ 1 x))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.205 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.205 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.205 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 5.205 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 5.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.205 * [taylor]: Taking taylor expansion of x in y 5.205 * [backup-simplify]: Simplify x into x 5.205 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.205 * [taylor]: Taking taylor expansion of y in y 5.205 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify 1 into 1 5.206 * [backup-simplify]: Simplify (/ 1 1) into 1 5.206 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.206 * [taylor]: Taking taylor expansion of y in y 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify 1 into 1 5.206 * [backup-simplify]: Simplify (/ 1 1) into 1 5.206 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.206 * [taylor]: Taking taylor expansion of x in y 5.206 * [backup-simplify]: Simplify x into x 5.206 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.206 * [taylor]: Taking taylor expansion of x in y 5.206 * [backup-simplify]: Simplify x into x 5.206 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.206 * [taylor]: Taking taylor expansion of y in y 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify 1 into 1 5.207 * [backup-simplify]: Simplify (* 1 1) into 1 5.207 * [backup-simplify]: Simplify (/ 1 1) into 1 5.207 * [backup-simplify]: Simplify (- 1) into -1 5.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.208 * [backup-simplify]: Simplify (+ 1 0) into 1 5.208 * [backup-simplify]: Simplify (* -1 1) into -1 5.209 * [backup-simplify]: Simplify (+ 0 1) into 1 5.209 * [backup-simplify]: Simplify (/ -1 1) into -1 5.209 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.209 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 5.209 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 5.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.209 * [taylor]: Taking taylor expansion of x in x 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (/ 1 1) into 1 5.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.210 * [taylor]: Taking taylor expansion of y in x 5.210 * [backup-simplify]: Simplify y into y 5.210 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.210 * [taylor]: Taking taylor expansion of y in x 5.210 * [backup-simplify]: Simplify y into y 5.210 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.210 * [taylor]: Taking taylor expansion of x in x 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (/ 1 1) into 1 5.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.210 * [taylor]: Taking taylor expansion of x in x 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (* 1 1) into 1 5.211 * [backup-simplify]: Simplify (/ 1 1) into 1 5.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.211 * [taylor]: Taking taylor expansion of y in x 5.211 * [backup-simplify]: Simplify y into y 5.211 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.211 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.212 * [backup-simplify]: Simplify (+ 1 0) into 1 5.212 * [backup-simplify]: Simplify (+ 0 1) into 1 5.212 * [backup-simplify]: Simplify (* 1 1) into 1 5.213 * [backup-simplify]: Simplify (+ 1 0) into 1 5.213 * [backup-simplify]: Simplify (/ 1 1) into 1 5.213 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.213 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 5.213 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 5.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.213 * [taylor]: Taking taylor expansion of x in x 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (/ 1 1) into 1 5.214 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.214 * [taylor]: Taking taylor expansion of y in x 5.214 * [backup-simplify]: Simplify y into y 5.214 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.214 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.214 * [taylor]: Taking taylor expansion of y in x 5.214 * [backup-simplify]: Simplify y into y 5.214 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.214 * [taylor]: Taking taylor expansion of x in x 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (/ 1 1) into 1 5.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.214 * [taylor]: Taking taylor expansion of x in x 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 1 into 1 5.215 * [backup-simplify]: Simplify (* 1 1) into 1 5.215 * [backup-simplify]: Simplify (/ 1 1) into 1 5.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.215 * [taylor]: Taking taylor expansion of y in x 5.215 * [backup-simplify]: Simplify y into y 5.215 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.215 * [backup-simplify]: Simplify (+ 1 0) into 1 5.216 * [backup-simplify]: Simplify (+ 0 1) into 1 5.216 * [backup-simplify]: Simplify (* 1 1) into 1 5.216 * [backup-simplify]: Simplify (+ 1 0) into 1 5.216 * [backup-simplify]: Simplify (/ 1 1) into 1 5.216 * [taylor]: Taking taylor expansion of 1 in y 5.216 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.217 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.218 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 5.218 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 5.218 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 5.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (+ 0 0) into 0 5.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 5.220 * [taylor]: Taking taylor expansion of 0 in y 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.222 * [backup-simplify]: Simplify (+ 0 0) into 0 5.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.223 * [backup-simplify]: Simplify (- 0) into 0 5.223 * [backup-simplify]: Simplify (+ 0 0) into 0 5.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 5.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.226 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.227 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 5.227 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 5.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.227 * [taylor]: Taking taylor expansion of 2 in y 5.227 * [backup-simplify]: Simplify 2 into 2 5.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.227 * [taylor]: Taking taylor expansion of y in y 5.227 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify 1 into 1 5.227 * [backup-simplify]: Simplify (* 1 1) into 1 5.228 * [backup-simplify]: Simplify (/ 1 1) into 1 5.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.231 * [backup-simplify]: Simplify (- 0) into 0 5.231 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.233 * [backup-simplify]: Simplify (+ 0 0) into 0 5.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.234 * [backup-simplify]: Simplify (- 0) into 0 5.235 * [backup-simplify]: Simplify (+ 0 0) into 0 5.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.237 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.238 * [backup-simplify]: Simplify (+ 0 0) into 0 5.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 5.240 * [taylor]: Taking taylor expansion of 0 in y 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify 1 into 1 5.240 * [backup-simplify]: Simplify (* (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (+ (/ 1 (- y)) (/ 1 (- x)))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 5.240 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 5.240 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 5.240 * [taylor]: Taking taylor expansion of -1 in y 5.240 * [backup-simplify]: Simplify -1 into -1 5.241 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.241 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 5.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.241 * [taylor]: Taking taylor expansion of y in y 5.241 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify 1 into 1 5.241 * [backup-simplify]: Simplify (/ 1 1) into 1 5.241 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.241 * [taylor]: Taking taylor expansion of x in y 5.241 * [backup-simplify]: Simplify x into x 5.241 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.241 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 5.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.241 * [taylor]: Taking taylor expansion of y in y 5.241 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify 1 into 1 5.242 * [backup-simplify]: Simplify (/ 1 1) into 1 5.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.242 * [taylor]: Taking taylor expansion of x in y 5.242 * [backup-simplify]: Simplify x into x 5.242 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.242 * [taylor]: Taking taylor expansion of x in y 5.242 * [backup-simplify]: Simplify x into x 5.242 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.242 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.242 * [taylor]: Taking taylor expansion of y in y 5.242 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify 1 into 1 5.243 * [backup-simplify]: Simplify (* 1 1) into 1 5.243 * [backup-simplify]: Simplify (/ 1 1) into 1 5.244 * [backup-simplify]: Simplify (+ 1 0) into 1 5.244 * [backup-simplify]: Simplify (+ 1 0) into 1 5.244 * [backup-simplify]: Simplify (* 1 1) into 1 5.245 * [backup-simplify]: Simplify (+ 0 1) into 1 5.245 * [backup-simplify]: Simplify (/ 1 1) into 1 5.245 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 5.245 * [taylor]: Taking taylor expansion of -1 in x 5.245 * [backup-simplify]: Simplify -1 into -1 5.245 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.245 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 5.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.246 * [taylor]: Taking taylor expansion of y in x 5.246 * [backup-simplify]: Simplify y into y 5.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.246 * [taylor]: Taking taylor expansion of x in x 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 1 into 1 5.249 * [backup-simplify]: Simplify (/ 1 1) into 1 5.249 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 5.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.249 * [taylor]: Taking taylor expansion of y in x 5.250 * [backup-simplify]: Simplify y into y 5.250 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.250 * [taylor]: Taking taylor expansion of x in x 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 1 into 1 5.250 * [backup-simplify]: Simplify (/ 1 1) into 1 5.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.250 * [taylor]: Taking taylor expansion of x in x 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 1 into 1 5.251 * [backup-simplify]: Simplify (* 1 1) into 1 5.251 * [backup-simplify]: Simplify (/ 1 1) into 1 5.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.251 * [taylor]: Taking taylor expansion of y in x 5.251 * [backup-simplify]: Simplify y into y 5.251 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.252 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.252 * [backup-simplify]: Simplify (+ 0 1) into 1 5.252 * [backup-simplify]: Simplify (- 1) into -1 5.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.253 * [backup-simplify]: Simplify (* 1 -1) into -1 5.253 * [backup-simplify]: Simplify (+ 1 0) into 1 5.254 * [backup-simplify]: Simplify (/ -1 1) into -1 5.254 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 5.254 * [taylor]: Taking taylor expansion of -1 in x 5.254 * [backup-simplify]: Simplify -1 into -1 5.254 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.254 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 5.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.254 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.254 * [taylor]: Taking taylor expansion of y in x 5.254 * [backup-simplify]: Simplify y into y 5.254 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.254 * [taylor]: Taking taylor expansion of x in x 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 1 into 1 5.254 * [backup-simplify]: Simplify (/ 1 1) into 1 5.254 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 5.254 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.254 * [taylor]: Taking taylor expansion of y in x 5.254 * [backup-simplify]: Simplify y into y 5.254 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.254 * [taylor]: Taking taylor expansion of x in x 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 1 into 1 5.255 * [backup-simplify]: Simplify (/ 1 1) into 1 5.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.255 * [taylor]: Taking taylor expansion of x in x 5.255 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify 1 into 1 5.255 * [backup-simplify]: Simplify (* 1 1) into 1 5.255 * [backup-simplify]: Simplify (/ 1 1) into 1 5.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.255 * [taylor]: Taking taylor expansion of y in x 5.255 * [backup-simplify]: Simplify y into y 5.255 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.256 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.256 * [backup-simplify]: Simplify (+ 0 1) into 1 5.256 * [backup-simplify]: Simplify (- 1) into -1 5.256 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.256 * [backup-simplify]: Simplify (* 1 -1) into -1 5.257 * [backup-simplify]: Simplify (+ 1 0) into 1 5.257 * [backup-simplify]: Simplify (/ -1 1) into -1 5.257 * [backup-simplify]: Simplify (* -1 -1) into 1 5.257 * [taylor]: Taking taylor expansion of 1 in y 5.257 * [backup-simplify]: Simplify 1 into 1 5.257 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.258 * [backup-simplify]: Simplify (- 0) into 0 5.258 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.259 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.259 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 5.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.260 * [backup-simplify]: Simplify (+ 0 0) into 0 5.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.260 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.260 * [taylor]: Taking taylor expansion of 0 in y 5.260 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (- 0) into 0 5.262 * [backup-simplify]: Simplify (+ 0 0) into 0 5.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.262 * [backup-simplify]: Simplify (+ 0 0) into 0 5.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 5.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.265 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 5.265 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 5.265 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 5.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.265 * [taylor]: Taking taylor expansion of 2 in y 5.265 * [backup-simplify]: Simplify 2 into 2 5.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.265 * [taylor]: Taking taylor expansion of y in y 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.266 * [backup-simplify]: Simplify (* 1 1) into 1 5.266 * [backup-simplify]: Simplify (/ 1 1) into 1 5.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.268 * [backup-simplify]: Simplify (- 0) into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.269 * [backup-simplify]: Simplify (- 0) into 0 5.270 * [backup-simplify]: Simplify (+ 0 0) into 0 5.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.271 * [backup-simplify]: Simplify (+ 0 0) into 0 5.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 5.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.275 * [backup-simplify]: Simplify (+ 0 0) into 0 5.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 5.277 * [taylor]: Taking taylor expansion of 0 in y 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 1 into 1 5.277 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 5.277 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 5.277 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 5.277 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.277 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.277 * [taylor]: Taking taylor expansion of x in y 5.277 * [backup-simplify]: Simplify x into x 5.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.278 * [taylor]: Taking taylor expansion of y in y 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.278 * [taylor]: Taking taylor expansion of x in x 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.278 * [taylor]: Taking taylor expansion of y in x 5.278 * [backup-simplify]: Simplify y into y 5.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.278 * [taylor]: Taking taylor expansion of x in x 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.278 * [taylor]: Taking taylor expansion of y in x 5.278 * [backup-simplify]: Simplify y into y 5.278 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.278 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.278 * [taylor]: Taking taylor expansion of y in y 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.279 * [backup-simplify]: Simplify (+ 0 0) into 0 5.279 * [taylor]: Taking taylor expansion of 0 in y 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify (* 1 1) into 1 5.279 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.280 * [backup-simplify]: Simplify (+ 1 0) into 1 5.280 * [taylor]: Taking taylor expansion of 1 in y 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify 0 into 0 5.280 * [backup-simplify]: Simplify (* 1 1) into 1 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.281 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.281 * [backup-simplify]: Simplify (+ 0 0) into 0 5.281 * [taylor]: Taking taylor expansion of 0 in y 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.282 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.283 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.283 * [backup-simplify]: Simplify (+ 0 0) into 0 5.283 * [taylor]: Taking taylor expansion of 0 in y 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 5.284 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 5.284 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 5.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.284 * [taylor]: Taking taylor expansion of x in y 5.284 * [backup-simplify]: Simplify x into x 5.284 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.284 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.284 * [taylor]: Taking taylor expansion of y in y 5.284 * [backup-simplify]: Simplify 0 into 0 5.284 * [backup-simplify]: Simplify 1 into 1 5.284 * [backup-simplify]: Simplify (* 1 1) into 1 5.284 * [backup-simplify]: Simplify (/ 1 1) into 1 5.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.284 * [taylor]: Taking taylor expansion of x in x 5.284 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify 1 into 1 5.285 * [backup-simplify]: Simplify (* 1 1) into 1 5.285 * [backup-simplify]: Simplify (/ 1 1) into 1 5.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.285 * [taylor]: Taking taylor expansion of y in x 5.285 * [backup-simplify]: Simplify y into y 5.285 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.285 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.285 * [taylor]: Taking taylor expansion of x in x 5.285 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (* 1 1) into 1 5.286 * [backup-simplify]: Simplify (/ 1 1) into 1 5.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.286 * [taylor]: Taking taylor expansion of y in x 5.286 * [backup-simplify]: Simplify y into y 5.286 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.286 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.286 * [backup-simplify]: Simplify (+ 1 0) into 1 5.286 * [taylor]: Taking taylor expansion of 1 in y 5.286 * [backup-simplify]: Simplify 1 into 1 5.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.287 * [backup-simplify]: Simplify (+ 0 0) into 0 5.287 * [taylor]: Taking taylor expansion of 0 in y 5.287 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.288 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.289 * [taylor]: Taking taylor expansion of y in y 5.289 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify 1 into 1 5.289 * [backup-simplify]: Simplify (* 1 1) into 1 5.289 * [backup-simplify]: Simplify (/ 1 1) into 1 5.289 * [backup-simplify]: Simplify 1 into 1 5.289 * [backup-simplify]: Simplify 1 into 1 5.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.290 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.291 * [backup-simplify]: Simplify (+ 0 0) into 0 5.291 * [taylor]: Taking taylor expansion of 0 in y 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.293 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.293 * [backup-simplify]: Simplify (+ 0 0) into 0 5.293 * [taylor]: Taking taylor expansion of 0 in y 5.294 * [backup-simplify]: Simplify 0 into 0 5.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.295 * [backup-simplify]: Simplify 0 into 0 5.295 * [backup-simplify]: Simplify 0 into 0 5.295 * [backup-simplify]: Simplify 0 into 0 5.295 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 5.295 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 5.295 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 5.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.295 * [taylor]: Taking taylor expansion of x in y 5.295 * [backup-simplify]: Simplify x into x 5.295 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.296 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.296 * [taylor]: Taking taylor expansion of y in y 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [backup-simplify]: Simplify (* 1 1) into 1 5.296 * [backup-simplify]: Simplify (/ 1 1) into 1 5.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.296 * [taylor]: Taking taylor expansion of x in x 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [backup-simplify]: Simplify (* 1 1) into 1 5.297 * [backup-simplify]: Simplify (/ 1 1) into 1 5.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.297 * [taylor]: Taking taylor expansion of y in x 5.297 * [backup-simplify]: Simplify y into y 5.297 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.297 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.297 * [taylor]: Taking taylor expansion of x in x 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.297 * [backup-simplify]: Simplify (* 1 1) into 1 5.298 * [backup-simplify]: Simplify (/ 1 1) into 1 5.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.298 * [taylor]: Taking taylor expansion of y in x 5.298 * [backup-simplify]: Simplify y into y 5.298 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.298 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.299 * [backup-simplify]: Simplify (+ 1 0) into 1 5.299 * [taylor]: Taking taylor expansion of 1 in y 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.300 * [backup-simplify]: Simplify (+ 0 0) into 0 5.300 * [taylor]: Taking taylor expansion of 0 in y 5.300 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.302 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.302 * [taylor]: Taking taylor expansion of y in y 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify 1 into 1 5.303 * [backup-simplify]: Simplify (* 1 1) into 1 5.303 * [backup-simplify]: Simplify (/ 1 1) into 1 5.303 * [backup-simplify]: Simplify 1 into 1 5.303 * [backup-simplify]: Simplify 1 into 1 5.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.305 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.306 * [backup-simplify]: Simplify (+ 0 0) into 0 5.306 * [taylor]: Taking taylor expansion of 0 in y 5.306 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.310 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.310 * [backup-simplify]: Simplify (+ 0 0) into 0 5.310 * [taylor]: Taking taylor expansion of 0 in y 5.310 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.312 * [backup-simplify]: Simplify 0 into 0 5.312 * [backup-simplify]: Simplify 0 into 0 5.312 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 5.313 * * * [progress]: simplifying candidates 5.315 * [simplify]: Simplifying: (- (log (- x y)) (log (+ (* x x) (* y y)))) (log (/ (- x y) (+ (* x x) (* y y)))) (exp (/ (- x y) (+ (* x x) (* y y)))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (- x y) (+ (* x x) (* y y)))) (cbrt (/ (- x y) (+ (* x x) (* y y))))) (cbrt (/ (- x y) (+ (* x x) (* y y)))) (* (* (/ (- x y) (+ (* x x) (* y y))) (/ (- x y) (+ (* x x) (* y y)))) (/ (- x y) (+ (* x x) (* y y)))) (sqrt (/ (- x y) (+ (* x x) (* y y)))) (sqrt (/ (- x y) (+ (* x x) (* y y)))) (- (- x y)) (- (+ (* x x) (* y y))) (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (- x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (- x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (+ (* x x) (* y y))) (/ (sqrt (- x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (- x y)) (sqrt 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x)))) (* (/ (- x y) (+ (* x x) (* y y))) (sqrt (+ y x))) (* (/ (- x y) (+ (* x x) (* y y))) 1) (* (/ (- x y) (+ (* x x) (* y y))) 1) (* (cbrt (/ (- x y) (+ (* x x) (* y y)))) (+ y x)) (* (sqrt (/ (- x y) (+ (* x x) (* y y)))) (+ y x)) (* (/ (cbrt (- x y)) (cbrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (cbrt (- x y)) (sqrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (cbrt (- x y)) (+ (* x x) (* y y))) (+ y x)) (* (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (sqrt (- x y)) (sqrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (sqrt (- x y)) (+ (* x x) (* y y))) (+ y x)) (* (/ (- x y) (cbrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (- x y) (+ (* x x) (* y y))) (+ y x)) (* (/ (- (sqrt x) (sqrt y)) (cbrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (- (sqrt x) (sqrt y)) (+ (* x x) (* y y))) (+ y x)) (* (/ (- x y) (cbrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (- x y) (+ (* x x) (* y y))) (+ y x)) (* (/ (- x y) (+ (* x x) (* y y))) (+ y x)) (* (/ 1 (+ (* x x) (* y y))) (+ y x)) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ y x)) (* (- (* x x) (* y y)) (+ y x)) (* (/ (- x y) (+ (* x x) (* y y))) (+ (pow y 3) (pow x 3))) (* (/ (- x y) (+ (* x x) (* y y))) (- (* y y) (* x x))) (* (- x y) (+ y x)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) 0 0 0 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 5.319 * * [simplify]: Extracting # 0 : cost 0 5.320 * * [simplify]: Extracting # 1 : cost 0 5.320 * * [simplify]: Extracting # 2 : cost 0 5.320 * * [simplify]: Extracting # 3 : cost 0 5.321 * * [simplify]: Extracting # 4 : cost 0 5.321 * * [simplify]: Extracting # 5 : cost 0 5.321 * * [simplify]: Extracting # 6 : cost 0 5.322 * * [simplify]: iteration 0 : 154 enodes (cost 1874 ) 5.383 * * [simplify]: Extracting # 0 : cost 0 5.383 * * [simplify]: Extracting # 1 : cost 0 5.384 * * [simplify]: Extracting # 2 : cost 0 5.385 * * [simplify]: Extracting # 3 : cost 0 5.386 * * [simplify]: Extracting # 4 : cost 0 5.387 * * [simplify]: iteration 1 : 582 enodes (cost 1841 ) 5.753 * * [simplify]: Extracting # 0 : cost 0 5.763 * * [simplify]: Extracting # 1 : cost 0 5.771 * * [simplify]: Extracting # 2 : cost 0 5.776 * * [simplify]: Extracting # 3 : cost 0 5.781 * * [simplify]: Extracting # 4 : cost 0 5.786 * * [simplify]: Extracting # 5 : cost 0 5.795 * * [simplify]: iteration 2 : 3745 enodes (cost 1667 ) 7.446 * * [simplify]: Extracting # 0 : cost 0 7.455 * * [simplify]: Extracting # 1 : cost 0 7.462 * * [simplify]: Extracting # 2 : cost 0 7.468 * * [simplify]: iteration done: 5001 enodes (cost 1663 ) 7.469 * [simplify]: Simplified to: (log (/ (- x y) (+ (pow x 2) (pow y 2)))) (log (/ (- x y) (+ (pow x 2) (pow y 2)))) (exp (/ (- x y) (+ (* x x) (* y y)))) (pow (/ (- x y) (+ (* x x) (* y y))) 3) (* (cbrt (/ (- x y) (+ (* x x) (* y y)))) (cbrt (/ (- x y) (+ (* x x) (* y y))))) (cbrt (/ (- x y) (+ (* x x) (* y y)))) (pow (/ (- x y) (+ (* x x) (* y y))) 3) (sqrt (/ (- x y) (+ (* x x) (* y y)))) (sqrt (/ (- x y) (+ (* x x) (* y y)))) (- (- x y)) (- (+ (* x x) (* y y))) (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (- x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (- x y)) (sqrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (+ (* x x) (* y y))) (/ (sqrt (- x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (- x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (- x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (- x y)) (/ (sqrt (- x y)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) 1 (/ (- x y) (+ (* x x) (* y y))) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- (sqrt x) (sqrt y)) (cbrt (+ (* x x) (* y y)))) (/ (+ (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) 1 (/ (- x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y 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(+ (* x x) (* y y)))) (+ y x)) (* (/ (cbrt (- x y)) (cbrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (cbrt (- x y)) (sqrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (cbrt (- x y)) (+ (* x x) (* y y))) (+ y x)) (* (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (sqrt (- x y)) (sqrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (sqrt (- x y)) (+ (* x x) (* y y))) (+ y x)) (* (/ (- x y) (cbrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ y x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (- (sqrt x) (sqrt y)) (cbrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (- (sqrt x) (sqrt y)) (+ (* x x) (* y y))) (+ y x)) (* (/ (- x y) (cbrt (+ (* x x) (* y y)))) (+ y x)) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ y x)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ y x) (+ (* x x) (* y y))) (* (+ x y) (- (+ (pow x 4) (pow y 4)) (* (* x x) (* y y)))) (* (+ x y) (* (- x y) (+ y x))) (* (/ (- x y) (+ (pow x 2) (pow y 2))) (+ (pow y 3) (pow x 3))) (* (- (* y y) (* x x)) (/ (- x y) (+ (pow x 2) (pow y 2)))) (* (+ x y) (- x y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (- (+ (pow x 4) (pow y 4)) (* (* x x) (* y y))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) 0 0 0 -1 1 1 (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 7.470 * * * [progress]: adding candidates to table 7.896 * * [progress]: iteration 3 / 4 7.896 * * * [progress]: picking best candidate 7.904 * * * * [pick]: Picked # 7.904 * * * [progress]: localizing error 7.905 * * * [progress]: generating rewritten candidates 7.905 * * * [progress]: generating series expansions 7.905 * * * [progress]: simplifying candidates 7.905 * [simplify]: Simplifying: 7.905 * * [simplify]: Extracting # 0 : cost 0 7.905 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 7.905 * * [simplify]: Extracting # 0 : cost 0 7.905 * * [simplify]: iteration done: 0 enodes (cost 0 ) 7.905 * [simplify]: Simplified to: 7.905 * * * [progress]: adding candidates to table 7.906 * * [progress]: iteration 4 / 4 7.906 * * * [progress]: picking best candidate 7.910 * * * * [pick]: Picked # 7.910 * * * [progress]: localizing error 7.910 * * * [progress]: generating rewritten candidates 7.910 * * * [progress]: generating series expansions 7.910 * * * [progress]: simplifying candidates 7.911 * [simplify]: Simplifying: 7.911 * * [simplify]: Extracting # 0 : cost 0 7.911 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 7.911 * * [simplify]: Extracting # 0 : cost 0 7.911 * * [simplify]: iteration done: 0 enodes (cost 0 ) 7.911 * [simplify]: Simplified to: 7.911 * * * [progress]: adding candidates to table 7.911 * [progress]: [Phase 3 of 3] Extracting. 7.911 * * [regime]: Finding splitpoints for: (# # # #) 7.912 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 7.912 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 7.945 * * * * [regimes]: Trying to branch on y from (# # # #) 7.993 * * * * [regimes]: Trying to branch on x from (# # # #) 8.056 * * * [regime]: Found split indices: #