11.387 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: Extracting # 3 : cost 0 0.026 * * [simplify]: Extracting # 4 : cost 0 0.026 * * [simplify]: Extracting # 5 : cost 0 0.026 * * [simplify]: Extracting # 6 : cost 0 0.026 * * [simplify]: iteration 0 : 7 enodes (cost 15 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: Extracting # 1 : cost 0 0.027 * * [simplify]: Extracting # 2 : cost 0 0.027 * * [simplify]: iteration 1 : 13 enodes (cost 15 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.030 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: Extracting # 3 : cost 0 0.030 * * [simplify]: Extracting # 4 : cost 0 0.030 * * [simplify]: iteration 2 : 23 enodes (cost 13 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: Extracting # 3 : cost 0 0.035 * * [simplify]: iteration 3 : 35 enodes (cost 9 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: iteration 4 : 43 enodes (cost 9 ) 0.050 * * [simplify]: Extracting # 0 : cost 0 0.050 * * [simplify]: iteration 5 : 46 enodes (cost 9 ) 0.068 * * [simplify]: Extracting # 0 : cost 0 0.068 * * [simplify]: iteration done: 46 enodes (cost 9 ) 0.068 * [simplify]: Simplified to: (+ (* x x) (* 3 (* y y))) 0.070 * * [progress]: iteration 1 / 4 0.070 * * * [progress]: picking best candidate 0.072 * * * * [pick]: Picked # 0.072 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.221 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.252 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.261 * * * [progress]: generating series expansions 0.261 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.262 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 0.262 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [backup-simplify]: Simplify x into x 0.262 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.262 * [taylor]: Taking taylor expansion of 3 in y 0.262 * [backup-simplify]: Simplify 3 into 3 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.262 * [taylor]: Taking taylor expansion of 3 in x 0.262 * [backup-simplify]: Simplify 3 into 3 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [backup-simplify]: Simplify y into y 0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.262 * [taylor]: Taking taylor expansion of 3 in x 0.262 * [backup-simplify]: Simplify 3 into 3 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [backup-simplify]: Simplify y into y 0.262 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.263 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.263 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 0.263 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of 3 in y 0.263 * [backup-simplify]: Simplify 3 into 3 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.263 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.265 * [backup-simplify]: Simplify (+ 1 0) into 1 0.265 * [taylor]: Taking taylor expansion of 1 in y 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (* 3 1) into 3 0.266 * [backup-simplify]: Simplify 3 into 3 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.272 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.272 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [backup-simplify]: Simplify x into x 0.272 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.272 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.272 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.272 * [taylor]: Taking taylor expansion of 3 in y 0.272 * [backup-simplify]: Simplify 3 into 3 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.274 * [taylor]: Taking taylor expansion of 3 in x 0.274 * [backup-simplify]: Simplify 3 into 3 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [backup-simplify]: Simplify y into y 0.274 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.274 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.274 * [taylor]: Taking taylor expansion of 3 in x 0.275 * [backup-simplify]: Simplify 3 into 3 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [backup-simplify]: Simplify y into y 0.275 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.275 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.275 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [taylor]: Taking taylor expansion of 1 in y 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.278 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.278 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.278 * [taylor]: Taking taylor expansion of 3 in y 0.278 * [backup-simplify]: Simplify 3 into 3 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (* 3 1) into 3 0.279 * [backup-simplify]: Simplify 3 into 3 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.291 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.291 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [backup-simplify]: Simplify x into x 0.291 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.291 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.291 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.291 * [taylor]: Taking taylor expansion of 3 in y 0.291 * [backup-simplify]: Simplify 3 into 3 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.293 * [taylor]: Taking taylor expansion of 3 in x 0.293 * [backup-simplify]: Simplify 3 into 3 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [backup-simplify]: Simplify y into y 0.293 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.293 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.294 * [taylor]: Taking taylor expansion of 3 in x 0.294 * [backup-simplify]: Simplify 3 into 3 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [backup-simplify]: Simplify y into y 0.294 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.294 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.295 * [taylor]: Taking taylor expansion of 1 in y 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.297 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.297 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.297 * [taylor]: Taking taylor expansion of 3 in y 0.297 * [backup-simplify]: Simplify 3 into 3 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (* 3 1) into 3 0.298 * [backup-simplify]: Simplify 3 into 3 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.307 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.308 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2))) 0.308 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [backup-simplify]: Simplify x into x 0.308 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of 2 in y 0.308 * [backup-simplify]: Simplify 2 into 2 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of 2 in x 0.308 * [backup-simplify]: Simplify 2 into 2 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of 2 in x 0.308 * [backup-simplify]: Simplify 2 into 2 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.308 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 0.309 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 0.309 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.309 * [taylor]: Taking taylor expansion of 2 in y 0.309 * [backup-simplify]: Simplify 2 into 2 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.309 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [taylor]: Taking taylor expansion of 1 in y 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (* 2 1) into 2 0.312 * [backup-simplify]: Simplify 2 into 2 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.318 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 0.318 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [backup-simplify]: Simplify x into x 0.318 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.318 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.318 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.318 * [taylor]: Taking taylor expansion of 2 in y 0.318 * [backup-simplify]: Simplify 2 into 2 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of 2 in x 0.319 * [backup-simplify]: Simplify 2 into 2 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [backup-simplify]: Simplify y into y 0.319 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.320 * [taylor]: Taking taylor expansion of 2 in x 0.320 * [backup-simplify]: Simplify 2 into 2 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [backup-simplify]: Simplify y into y 0.320 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [taylor]: Taking taylor expansion of 1 in y 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.323 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 0.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.323 * [taylor]: Taking taylor expansion of 2 in y 0.323 * [backup-simplify]: Simplify 2 into 2 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (* 2 1) into 2 0.324 * [backup-simplify]: Simplify 2 into 2 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.334 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 0.334 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [backup-simplify]: Simplify x into x 0.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.334 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.334 * [taylor]: Taking taylor expansion of 2 in y 0.334 * [backup-simplify]: Simplify 2 into 2 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.335 * [taylor]: Taking taylor expansion of 2 in x 0.335 * [backup-simplify]: Simplify 2 into 2 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.335 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.336 * [taylor]: Taking taylor expansion of 2 in x 0.336 * [backup-simplify]: Simplify 2 into 2 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [backup-simplify]: Simplify y into y 0.336 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.336 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.336 * [backup-simplify]: Simplify (+ 1 0) into 1 0.336 * [taylor]: Taking taylor expansion of 1 in y 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.339 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 0.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of 2 in y 0.339 * [backup-simplify]: Simplify 2 into 2 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [backup-simplify]: Simplify (* 2 1) into 2 0.340 * [backup-simplify]: Simplify 2 into 2 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.348 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.349 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.349 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [backup-simplify]: Simplify x into x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [backup-simplify]: Simplify y into y 0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [backup-simplify]: Simplify y into y 0.349 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.349 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.350 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.354 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.355 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.355 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [backup-simplify]: Simplify x into x 0.355 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.355 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [backup-simplify]: Simplify y into y 0.356 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.356 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [backup-simplify]: Simplify y into y 0.357 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.357 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.357 * [taylor]: Taking taylor expansion of 1 in y 0.357 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* 1 1) into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.367 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.367 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [backup-simplify]: Simplify x into x 0.368 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.368 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [backup-simplify]: Simplify y into y 0.369 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [backup-simplify]: Simplify y into y 0.370 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [taylor]: Taking taylor expansion of 1 in y 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.380 * * * [progress]: simplifying candidates 0.381 * [simplify]: Simplifying: (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y 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)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.382 * * [simplify]: Extracting # 0 : cost 0 0.382 * * [simplify]: Extracting # 1 : cost 0 0.382 * * [simplify]: Extracting # 2 : cost 0 0.382 * * [simplify]: Extracting # 3 : cost 0 0.382 * * [simplify]: Extracting # 4 : cost 0 0.382 * * [simplify]: Extracting # 5 : cost 0 0.382 * * [simplify]: Extracting # 6 : cost 0 0.383 * * [simplify]: iteration 0 : 70 enodes (cost 791 ) 0.403 * * [simplify]: Extracting # 0 : cost 0 0.403 * * [simplify]: Extracting # 1 : cost 0 0.403 * * [simplify]: Extracting # 2 : cost 0 0.403 * * [simplify]: Extracting # 3 : cost 0 0.404 * * [simplify]: Extracting # 4 : cost 0 0.404 * * [simplify]: iteration 1 : 211 enodes (cost 667 ) 0.519 * * [simplify]: Extracting # 0 : cost 0 0.520 * * [simplify]: Extracting # 1 : cost 0 0.520 * * [simplify]: Extracting # 2 : cost 0 0.521 * * [simplify]: Extracting # 3 : cost 0 0.522 * * [simplify]: Extracting # 4 : cost 0 0.523 * * [simplify]: iteration 2 : 725 enodes (cost 591 ) 1.216 * * [simplify]: Extracting # 0 : cost 0 1.220 * * [simplify]: Extracting # 1 : cost 0 1.228 * * [simplify]: Extracting # 2 : cost 0 1.231 * * [simplify]: Extracting # 3 : cost 0 1.234 * * [simplify]: Extracting # 4 : cost 0 1.236 * * [simplify]: iteration 3 : 2852 enodes (cost 513 ) 2.564 * * [simplify]: Extracting # 0 : cost 0 2.573 * * [simplify]: Extracting # 1 : cost 0 2.583 * * [simplify]: Extracting # 2 : cost 0 2.597 * * [simplify]: Extracting # 3 : cost 0 2.602 * * [simplify]: Extracting # 4 : cost 0 2.607 * * [simplify]: iteration done: 5000 enodes (cost 513 ) 2.608 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (pow y 6)) (+ (* (+ (pow x 2) (* 2 (pow y 2))) (+ (* x x) (* y y))) (pow y 4)) (* (+ (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y)) (* 2 (pow y 2)) (exp (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (log (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (+ (pow (+ (pow x 2) (pow y 2)) 3) (pow y 6)) (+ (+ (pow y 4) (* (* x x) (* y y))) (pow x 4)) (* (+ (pow x 2) (* 2 (pow y 2))) (* x x)) (* x x) (* 2 (pow y 2)) (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 (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 2.608 * * * [progress]: adding candidates to table 2.753 * * [progress]: iteration 2 / 4 2.753 * * * [progress]: picking best candidate 2.793 * * * * [pick]: Picked # 2.793 * * * [progress]: localizing error 2.803 * * * [progress]: generating rewritten candidates 2.803 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.856 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.880 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.890 * * * [progress]: generating series expansions 2.890 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.890 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* 2 (pow y 2))) into (+ (pow x 2) (* 3 (pow y 2))) 2.890 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 2.890 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 2.890 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.890 * [taylor]: Taking taylor expansion of x in y 2.890 * [backup-simplify]: Simplify x into x 2.890 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.890 * [taylor]: Taking taylor expansion of 3 in y 2.890 * [backup-simplify]: Simplify 3 into 3 2.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.890 * [taylor]: Taking taylor expansion of y in y 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.890 * [taylor]: Taking taylor expansion of 3 in x 2.890 * [backup-simplify]: Simplify 3 into 3 2.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.890 * [taylor]: Taking taylor expansion of y in x 2.890 * [backup-simplify]: Simplify y into y 2.890 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 2.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.890 * [taylor]: Taking taylor expansion of 3 in x 2.890 * [backup-simplify]: Simplify 3 into 3 2.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.890 * [taylor]: Taking taylor expansion of y in x 2.891 * [backup-simplify]: Simplify y into y 2.891 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.891 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 2.891 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 2.891 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.891 * [taylor]: Taking taylor expansion of 3 in y 2.891 * [backup-simplify]: Simplify 3 into 3 2.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.891 * [taylor]: Taking taylor expansion of y in y 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.892 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 2.892 * [backup-simplify]: Simplify (+ 0 0) into 0 2.892 * [taylor]: Taking taylor expansion of 0 in y 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (* 1 1) into 1 2.893 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.893 * [backup-simplify]: Simplify (+ 1 0) into 1 2.893 * [taylor]: Taking taylor expansion of 1 in y 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (* 1 1) into 1 2.894 * [backup-simplify]: Simplify (* 3 1) into 3 2.894 * [backup-simplify]: Simplify 3 into 3 2.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.895 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.896 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.896 * [backup-simplify]: Simplify (+ 0 0) into 0 2.896 * [taylor]: Taking taylor expansion of 0 in y 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.897 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.898 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.900 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.900 * [backup-simplify]: Simplify (+ 0 0) into 0 2.900 * [taylor]: Taking taylor expansion of 0 in y 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 2.901 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* 2 (pow (/ 1 y) 2))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 2.901 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.901 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.901 * [taylor]: Taking taylor expansion of x in y 2.901 * [backup-simplify]: Simplify x into x 2.901 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.901 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.901 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.901 * [taylor]: Taking taylor expansion of 3 in y 2.901 * [backup-simplify]: Simplify 3 into 3 2.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.901 * [taylor]: Taking taylor expansion of y in y 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (* 1 1) into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.902 * [taylor]: Taking taylor expansion of x in x 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (* 1 1) into 1 2.902 * [backup-simplify]: Simplify (/ 1 1) into 1 2.902 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.902 * [taylor]: Taking taylor expansion of 3 in x 2.902 * [backup-simplify]: Simplify 3 into 3 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.902 * [taylor]: Taking taylor expansion of y in x 2.902 * [backup-simplify]: Simplify y into y 2.902 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.902 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.902 * [taylor]: Taking taylor expansion of x in x 2.902 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (/ 1 1) into 1 2.903 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.903 * [taylor]: Taking taylor expansion of 3 in x 2.903 * [backup-simplify]: Simplify 3 into 3 2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.903 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.903 * [taylor]: Taking taylor expansion of y in x 2.903 * [backup-simplify]: Simplify y into y 2.903 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.903 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.904 * [backup-simplify]: Simplify (+ 1 0) into 1 2.904 * [taylor]: Taking taylor expansion of 1 in y 2.904 * [backup-simplify]: Simplify 1 into 1 2.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [taylor]: Taking taylor expansion of 0 in y 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 2.906 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 2.906 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.906 * [taylor]: Taking taylor expansion of 3 in y 2.906 * [backup-simplify]: Simplify 3 into 3 2.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.906 * [taylor]: Taking taylor expansion of y in y 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (* 1 1) into 1 2.907 * [backup-simplify]: Simplify (/ 1 1) into 1 2.907 * [backup-simplify]: Simplify (* 3 1) into 3 2.907 * [backup-simplify]: Simplify 3 into 3 2.907 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.909 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 2.910 * [backup-simplify]: Simplify (+ 0 0) into 0 2.910 * [taylor]: Taking taylor expansion of 0 in y 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.916 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.917 * [taylor]: Taking taylor expansion of 0 in y 2.917 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 2.921 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* 2 (pow (/ 1 (- y)) 2))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 2.921 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 2.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 2.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.921 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.921 * [taylor]: Taking taylor expansion of x in y 2.921 * [backup-simplify]: Simplify x into x 2.921 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.921 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.921 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.921 * [taylor]: Taking taylor expansion of 3 in y 2.921 * [backup-simplify]: Simplify 3 into 3 2.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.921 * [taylor]: Taking taylor expansion of y in y 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.922 * [backup-simplify]: Simplify (* 1 1) into 1 2.922 * [backup-simplify]: Simplify (/ 1 1) into 1 2.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (* 1 1) into 1 2.923 * [backup-simplify]: Simplify (/ 1 1) into 1 2.923 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.923 * [taylor]: Taking taylor expansion of 3 in x 2.923 * [backup-simplify]: Simplify 3 into 3 2.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.923 * [taylor]: Taking taylor expansion of y in x 2.923 * [backup-simplify]: Simplify y into y 2.924 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.924 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 2.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (* 1 1) into 1 2.925 * [backup-simplify]: Simplify (/ 1 1) into 1 2.925 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.925 * [taylor]: Taking taylor expansion of 3 in x 2.925 * [backup-simplify]: Simplify 3 into 3 2.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.925 * [taylor]: Taking taylor expansion of y in x 2.925 * [backup-simplify]: Simplify y into y 2.925 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.925 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.926 * [backup-simplify]: Simplify (+ 1 0) into 1 2.926 * [taylor]: Taking taylor expansion of 1 in y 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.929 * [taylor]: Taking taylor expansion of 0 in y 2.929 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 2.931 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 2.931 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.931 * [taylor]: Taking taylor expansion of 3 in y 2.931 * [backup-simplify]: Simplify 3 into 3 2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.931 * [taylor]: Taking taylor expansion of y in y 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.932 * [backup-simplify]: Simplify (* 1 1) into 1 2.932 * [backup-simplify]: Simplify (/ 1 1) into 1 2.933 * [backup-simplify]: Simplify (* 3 1) into 3 2.933 * [backup-simplify]: Simplify 3 into 3 2.933 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.936 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 2.936 * [backup-simplify]: Simplify (+ 0 0) into 0 2.936 * [taylor]: Taking taylor expansion of 0 in y 2.936 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.943 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.943 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [taylor]: Taking taylor expansion of 0 in y 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 2.947 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.947 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 2.947 * [approximate]: Taking taylor expansion of (* 2 (pow y 2)) in (y) around 0 2.947 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.947 * [taylor]: Taking taylor expansion of 2 in y 2.947 * [backup-simplify]: Simplify 2 into 2 2.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.947 * [taylor]: Taking taylor expansion of y in y 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 2.947 * [taylor]: Taking taylor expansion of 2 in y 2.947 * [backup-simplify]: Simplify 2 into 2 2.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.947 * [taylor]: Taking taylor expansion of y in y 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (* 1 1) into 1 2.948 * [backup-simplify]: Simplify (* 2 1) into 2 2.948 * [backup-simplify]: Simplify 2 into 2 2.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.950 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.957 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.960 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 2.964 * [backup-simplify]: Simplify (* 2 (pow (/ 1 y) 2)) into (/ 2 (pow y 2)) 2.964 * [approximate]: Taking taylor expansion of (/ 2 (pow y 2)) in (y) around 0 2.964 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 2.964 * [taylor]: Taking taylor expansion of 2 in y 2.964 * [backup-simplify]: Simplify 2 into 2 2.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.964 * [taylor]: Taking taylor expansion of y in y 2.964 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (* 1 1) into 1 2.965 * [backup-simplify]: Simplify (/ 2 1) into 2 2.965 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 2.965 * [taylor]: Taking taylor expansion of 2 in y 2.965 * [backup-simplify]: Simplify 2 into 2 2.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.966 * [taylor]: Taking taylor expansion of y in y 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (* 1 1) into 1 2.966 * [backup-simplify]: Simplify (/ 2 1) into 2 2.967 * [backup-simplify]: Simplify 2 into 2 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify (* 2 (pow (/ 1 (/ 1 y)) 2)) into (* 2 (pow y 2)) 2.986 * [backup-simplify]: Simplify (* 2 (pow (/ 1 (- y)) 2)) into (/ 2 (pow y 2)) 2.986 * [approximate]: Taking taylor expansion of (/ 2 (pow y 2)) in (y) around 0 2.986 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 2.986 * [taylor]: Taking taylor expansion of 2 in y 2.986 * [backup-simplify]: Simplify 2 into 2 2.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.986 * [taylor]: Taking taylor expansion of y in y 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (* 1 1) into 1 2.987 * [backup-simplify]: Simplify (/ 2 1) into 2 2.987 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 2.987 * [taylor]: Taking taylor expansion of 2 in y 2.987 * [backup-simplify]: Simplify 2 into 2 2.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.987 * [taylor]: Taking taylor expansion of y in y 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.988 * [backup-simplify]: Simplify (* 1 1) into 1 2.988 * [backup-simplify]: Simplify (/ 2 1) into 2 2.988 * [backup-simplify]: Simplify 2 into 2 2.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify (* 2 (pow (/ 1 (/ 1 (- y))) 2)) into (* 2 (pow y 2)) 3.003 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 3.003 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 3.003 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.003 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.003 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.003 * [taylor]: Taking taylor expansion of x in y 3.003 * [backup-simplify]: Simplify x into x 3.003 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.003 * [taylor]: Taking taylor expansion of y in y 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.004 * [taylor]: Taking taylor expansion of x in x 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.004 * [taylor]: Taking taylor expansion of y in x 3.004 * [backup-simplify]: Simplify y into y 3.004 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.004 * [taylor]: Taking taylor expansion of x in x 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.004 * [taylor]: Taking taylor expansion of y in x 3.004 * [backup-simplify]: Simplify y into y 3.004 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.004 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.004 * [taylor]: Taking taylor expansion of y in y 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.005 * [backup-simplify]: Simplify (+ 0 0) into 0 3.005 * [taylor]: Taking taylor expansion of 0 in y 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify (* 1 1) into 1 3.006 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.006 * [backup-simplify]: Simplify (+ 1 0) into 1 3.007 * [taylor]: Taking taylor expansion of 1 in y 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify (* 1 1) into 1 3.007 * [backup-simplify]: Simplify 1 into 1 3.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.009 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [taylor]: Taking taylor expansion of 0 in y 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.010 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.012 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.012 * [backup-simplify]: Simplify (+ 0 0) into 0 3.013 * [taylor]: Taking taylor expansion of 0 in y 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 3.013 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.013 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.014 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.014 * [taylor]: Taking taylor expansion of x in y 3.014 * [backup-simplify]: Simplify x into x 3.014 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.014 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.014 * [taylor]: Taking taylor expansion of y in y 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [backup-simplify]: Simplify (* 1 1) into 1 3.015 * [backup-simplify]: Simplify (/ 1 1) into 1 3.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.015 * [taylor]: Taking taylor expansion of x in x 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (* 1 1) into 1 3.016 * [backup-simplify]: Simplify (/ 1 1) into 1 3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.016 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.016 * [taylor]: Taking taylor expansion of y in x 3.016 * [backup-simplify]: Simplify y into y 3.016 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.016 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify (* 1 1) into 1 3.017 * [backup-simplify]: Simplify (/ 1 1) into 1 3.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.017 * [taylor]: Taking taylor expansion of y in x 3.017 * [backup-simplify]: Simplify y into y 3.017 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.018 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.018 * [backup-simplify]: Simplify (+ 1 0) into 1 3.018 * [taylor]: Taking taylor expansion of 1 in y 3.018 * [backup-simplify]: Simplify 1 into 1 3.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [taylor]: Taking taylor expansion of 0 in y 3.020 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.022 * [taylor]: Taking taylor expansion of y in y 3.022 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (* 1 1) into 1 3.023 * [backup-simplify]: Simplify (/ 1 1) into 1 3.023 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.026 * [backup-simplify]: Simplify (+ 0 0) into 0 3.026 * [taylor]: Taking taylor expansion of 0 in y 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.029 * [backup-simplify]: Simplify (+ 0 0) into 0 3.029 * [taylor]: Taking taylor expansion of 0 in y 3.029 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.031 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.031 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.031 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.031 * [taylor]: Taking taylor expansion of x in y 3.031 * [backup-simplify]: Simplify x into x 3.031 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.031 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.031 * [taylor]: Taking taylor expansion of y in y 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (* 1 1) into 1 3.032 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.032 * [taylor]: Taking taylor expansion of x in x 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 1 into 1 3.032 * [backup-simplify]: Simplify (* 1 1) into 1 3.032 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.032 * [taylor]: Taking taylor expansion of y in x 3.032 * [backup-simplify]: Simplify y into y 3.032 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.033 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.033 * [taylor]: Taking taylor expansion of x in x 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (* 1 1) into 1 3.033 * [backup-simplify]: Simplify (/ 1 1) into 1 3.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.033 * [taylor]: Taking taylor expansion of y in x 3.034 * [backup-simplify]: Simplify y into y 3.034 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.034 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.034 * [backup-simplify]: Simplify (+ 1 0) into 1 3.034 * [taylor]: Taking taylor expansion of 1 in y 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.035 * [taylor]: Taking taylor expansion of 0 in y 3.035 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.037 * [taylor]: Taking taylor expansion of y in y 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (* 1 1) into 1 3.037 * [backup-simplify]: Simplify (/ 1 1) into 1 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.039 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [taylor]: Taking taylor expansion of 0 in y 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.042 * [backup-simplify]: Simplify (+ 0 0) into 0 3.042 * [taylor]: Taking taylor expansion of 0 in y 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.043 * * * [progress]: simplifying candidates 3.044 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp (* y y))) (exp (* 2 (pow y 2)))) (* (exp (+ (* x x) (* y y))) (exp (* 2 (pow y 2)))) (log (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (exp (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (* (cbrt (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (cbrt (+ (+ (* x x) (* y y)) (* 2 (pow y 2))))) (cbrt (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (* (* (+ (+ (* x x) (* y y)) (* 2 (pow y 2))) (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (sqrt (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (sqrt (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* 2 (pow y 2)) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* 2 (pow y 2)) (* 2 (pow y 2))) (* (+ (* x x) (* y y)) (* 2 (pow y 2))))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* 2 (pow y 2)) (* 2 (pow y 2)))) (- (+ (* x x) (* y y)) (* 2 (pow y 2))) (+ (* y y) (* 2 (pow y 2))) (+ (log 2) (* (log y) 2)) (+ (log 2) (* (log y) 2)) (+ (log 2) (log (pow y 2))) (log (* 2 (pow y 2))) (exp (* 2 (pow y 2))) (* (* (* 2 2) 2) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* 2 (pow y 2))) (cbrt (* 2 (pow y 2)))) (cbrt (* 2 (pow y 2))) (* (* (* 2 (pow y 2)) (* 2 (pow y 2))) (* 2 (pow y 2))) (sqrt (* 2 (pow y 2))) (sqrt (* 2 (pow y 2))) (* (sqrt 2) (pow (sqrt y) 2)) (* (sqrt 2) (pow (sqrt y) 2)) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) (sqrt (pow y 2))) (* (sqrt 2) (sqrt (pow y 2))) (* (sqrt 2) (pow y (/ 2 2))) (* (sqrt 2) (pow y (/ 2 2))) (* 2 (pow (* (cbrt y) (cbrt y)) 2)) (* 2 (pow (sqrt y) 2)) (* 2 (pow 1 2)) (* 2 y) (* 2 (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* 2 (sqrt (pow y 2))) (* 2 1) (* 2 (pow y (/ 2 2))) (* (cbrt 2) (pow y 2)) (* (sqrt 2) (pow y 2)) (* 2 (pow y 2)) (* (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)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (* 2 (pow y 2)) (* 2 (pow y 2)) (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 3.046 * * [simplify]: Extracting # 0 : cost 0 3.046 * * [simplify]: Extracting # 1 : cost 0 3.046 * * [simplify]: Extracting # 2 : cost 0 3.046 * * [simplify]: Extracting # 3 : cost 0 3.046 * * [simplify]: Extracting # 4 : cost 0 3.046 * * [simplify]: Extracting # 5 : cost 0 3.046 * * [simplify]: Extracting # 6 : cost 0 3.047 * * [simplify]: iteration 0 : 98 enodes (cost 703 ) 3.087 * * [simplify]: Extracting # 0 : cost 0 3.088 * * [simplify]: Extracting # 1 : cost 0 3.088 * * [simplify]: Extracting # 2 : cost 0 3.088 * * [simplify]: Extracting # 3 : cost 0 3.088 * * [simplify]: Extracting # 4 : cost 0 3.089 * * [simplify]: iteration 1 : 262 enodes (cost 630 ) 3.240 * * [simplify]: Extracting # 0 : cost 0 3.241 * * [simplify]: Extracting # 1 : cost 0 3.242 * * [simplify]: Extracting # 2 : cost 0 3.243 * * [simplify]: Extracting # 3 : cost 0 3.243 * * [simplify]: Extracting # 4 : cost 0 3.244 * * [simplify]: iteration 2 : 775 enodes (cost 521 ) 3.967 * * [simplify]: Extracting # 0 : cost 0 3.971 * * [simplify]: Extracting # 1 : cost 0 3.975 * * [simplify]: Extracting # 2 : cost 0 3.987 * * [simplify]: Extracting # 3 : cost 0 3.992 * * [simplify]: Extracting # 4 : cost 0 3.998 * * [simplify]: iteration 3 : 3061 enodes (cost 503 ) 5.896 * * [simplify]: Extracting # 0 : cost 0 5.907 * * [simplify]: Extracting # 1 : cost 0 5.927 * * [simplify]: Extracting # 2 : cost 0 5.937 * * [simplify]: Extracting # 3 : cost 0 5.948 * * [simplify]: Extracting # 4 : cost 0 5.958 * * [simplify]: iteration done: 5000 enodes (cost 486 ) 5.959 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (* x x) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (* x x) (* 3 (pow y 2)))) (cbrt (+ (* x x) (* 3 (pow y 2))))) (cbrt (+ (* x x) (* 3 (pow y 2)))) (pow (+ (* x x) (* 3 (pow y 2))) 3) (sqrt (+ (* x x) (* 3 (pow y 2)))) (sqrt (+ (* x x) (* 3 (pow y 2)))) (+ (pow (+ (* x x) (* y y)) 3) (* 8 (pow y 6))) (+ (- (pow x 4) (pow y 4)) (* 4 (pow y 4))) (* (+ (* x x) (* 3 (pow y 2))) (- (* x x) (* y y))) (- (* x x) (* y y)) (* 3 (* y y)) (log (* 2 (pow y 2))) (log (* 2 (pow y 2))) (log (* 2 (pow y 2))) (log (* 2 (pow y 2))) (exp (* 2 (pow y 2))) (* 8 (pow y 6)) (* (cbrt (* 2 (pow y 2))) (cbrt (* 2 (pow y 2)))) (cbrt (* 2 (pow y 2))) (* 8 (pow y 6)) (sqrt (* 2 (pow y 2))) (sqrt (* 2 (pow y 2))) (* y (sqrt 2)) (* y (sqrt 2)) (* y (sqrt 2)) (* y (sqrt 2)) (* (sqrt 2) (fabs y)) (* (sqrt 2) (fabs y)) (* y (sqrt 2)) (* y (sqrt 2)) (* 2 (pow (cbrt y) 4)) (* y 2) 2 (* y 2) (* 2 (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* 2 (fabs y)) 2 (* y 2) (* (cbrt 2) (pow y 2)) (* (sqrt 2) (pow y 2)) (* 2 (pow y 2)) (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)) (+ (- (pow y 4) (* (* x x) (* y y))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* 3 (pow y 2))) (+ (* x x) (* 3 (pow y 2))) (+ (* x x) (* 3 (pow y 2))) (* 2 (pow y 2)) (* 2 (pow y 2)) (* 2 (pow y 2)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 5.960 * * * [progress]: adding candidates to table 6.143 * * [progress]: iteration 3 / 4 6.143 * * * [progress]: picking best candidate 6.165 * * * * [pick]: Picked # 6.165 * * * [progress]: localizing error 6.192 * * * [progress]: generating rewritten candidates 6.192 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.246 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.255 * * * [progress]: generating series expansions 6.255 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.256 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2)))) into (+ (pow x 2) (* 3 (pow y 2))) 6.256 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 6.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 6.256 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.256 * [taylor]: Taking taylor expansion of x in y 6.256 * [backup-simplify]: Simplify x into x 6.256 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.256 * [taylor]: Taking taylor expansion of 3 in y 6.256 * [backup-simplify]: Simplify 3 into 3 6.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.256 * [taylor]: Taking taylor expansion of y in y 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 1 into 1 6.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.256 * [taylor]: Taking taylor expansion of x in x 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 1 into 1 6.256 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.256 * [taylor]: Taking taylor expansion of 3 in x 6.256 * [backup-simplify]: Simplify 3 into 3 6.256 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.256 * [taylor]: Taking taylor expansion of y in x 6.256 * [backup-simplify]: Simplify y into y 6.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.256 * [taylor]: Taking taylor expansion of x in x 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 1 into 1 6.256 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.256 * [taylor]: Taking taylor expansion of 3 in x 6.256 * [backup-simplify]: Simplify 3 into 3 6.256 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.257 * [taylor]: Taking taylor expansion of y in x 6.257 * [backup-simplify]: Simplify y into y 6.257 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.257 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 6.257 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 6.257 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.257 * [taylor]: Taking taylor expansion of 3 in y 6.257 * [backup-simplify]: Simplify 3 into 3 6.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.257 * [taylor]: Taking taylor expansion of y in y 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.257 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 6.258 * [backup-simplify]: Simplify (+ 0 0) into 0 6.258 * [taylor]: Taking taylor expansion of 0 in y 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify (* 1 1) into 1 6.258 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.259 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.259 * [backup-simplify]: Simplify (+ 1 0) into 1 6.259 * [taylor]: Taking taylor expansion of 1 in y 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (* 1 1) into 1 6.260 * [backup-simplify]: Simplify (* 3 1) into 3 6.260 * [backup-simplify]: Simplify 3 into 3 6.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.261 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.262 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.262 * [backup-simplify]: Simplify (+ 0 0) into 0 6.262 * [taylor]: Taking taylor expansion of 0 in y 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.264 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.265 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.266 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.266 * [backup-simplify]: Simplify (+ 0 0) into 0 6.266 * [taylor]: Taking taylor expansion of 0 in y 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 6.267 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (* (/ 1 y) 2) (pow (/ 1 y) (/ 2 2)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 6.267 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 6.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.267 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.267 * [taylor]: Taking taylor expansion of x in y 6.267 * [backup-simplify]: Simplify x into x 6.267 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.267 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.268 * [taylor]: Taking taylor expansion of 3 in y 6.268 * [backup-simplify]: Simplify 3 into 3 6.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.268 * [taylor]: Taking taylor expansion of y in y 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify 1 into 1 6.268 * [backup-simplify]: Simplify (* 1 1) into 1 6.268 * [backup-simplify]: Simplify (/ 1 1) into 1 6.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.268 * [taylor]: Taking taylor expansion of x in x 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify 1 into 1 6.268 * [backup-simplify]: Simplify (* 1 1) into 1 6.269 * [backup-simplify]: Simplify (/ 1 1) into 1 6.269 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.269 * [taylor]: Taking taylor expansion of 3 in x 6.269 * [backup-simplify]: Simplify 3 into 3 6.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.269 * [taylor]: Taking taylor expansion of y in x 6.269 * [backup-simplify]: Simplify y into y 6.269 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.269 * [taylor]: Taking taylor expansion of x in x 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (* 1 1) into 1 6.270 * [backup-simplify]: Simplify (/ 1 1) into 1 6.270 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.270 * [taylor]: Taking taylor expansion of 3 in x 6.270 * [backup-simplify]: Simplify 3 into 3 6.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.270 * [taylor]: Taking taylor expansion of y in x 6.270 * [backup-simplify]: Simplify y into y 6.270 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.270 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.270 * [backup-simplify]: Simplify (+ 1 0) into 1 6.270 * [taylor]: Taking taylor expansion of 1 in y 6.270 * [backup-simplify]: Simplify 1 into 1 6.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.271 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [taylor]: Taking taylor expansion of 0 in y 6.271 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.273 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 6.273 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 6.273 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.273 * [taylor]: Taking taylor expansion of 3 in y 6.273 * [backup-simplify]: Simplify 3 into 3 6.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.273 * [taylor]: Taking taylor expansion of y in y 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [backup-simplify]: Simplify (* 1 1) into 1 6.273 * [backup-simplify]: Simplify (/ 1 1) into 1 6.274 * [backup-simplify]: Simplify (* 3 1) into 3 6.274 * [backup-simplify]: Simplify 3 into 3 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [taylor]: Taking taylor expansion of 0 in y 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.287 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 6.288 * [backup-simplify]: Simplify (+ 0 0) into 0 6.288 * [taylor]: Taking taylor expansion of 0 in y 6.288 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.291 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 6.292 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (* (/ 1 (- y)) 2) (pow (/ 1 (- y)) (/ 2 2)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 6.292 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 6.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.292 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.293 * [taylor]: Taking taylor expansion of x in y 6.293 * [backup-simplify]: Simplify x into x 6.293 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.293 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.293 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.293 * [taylor]: Taking taylor expansion of 3 in y 6.293 * [backup-simplify]: Simplify 3 into 3 6.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.293 * [taylor]: Taking taylor expansion of y in y 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 1 into 1 6.293 * [backup-simplify]: Simplify (* 1 1) into 1 6.294 * [backup-simplify]: Simplify (/ 1 1) into 1 6.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.294 * [taylor]: Taking taylor expansion of x in x 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.294 * [backup-simplify]: Simplify (* 1 1) into 1 6.294 * [backup-simplify]: Simplify (/ 1 1) into 1 6.294 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.294 * [taylor]: Taking taylor expansion of 3 in x 6.294 * [backup-simplify]: Simplify 3 into 3 6.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.294 * [taylor]: Taking taylor expansion of y in x 6.294 * [backup-simplify]: Simplify y into y 6.295 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.295 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.295 * [taylor]: Taking taylor expansion of x in x 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify 1 into 1 6.295 * [backup-simplify]: Simplify (* 1 1) into 1 6.295 * [backup-simplify]: Simplify (/ 1 1) into 1 6.295 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.295 * [taylor]: Taking taylor expansion of 3 in x 6.295 * [backup-simplify]: Simplify 3 into 3 6.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.295 * [taylor]: Taking taylor expansion of y in x 6.295 * [backup-simplify]: Simplify y into y 6.295 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.295 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.296 * [backup-simplify]: Simplify (+ 1 0) into 1 6.296 * [taylor]: Taking taylor expansion of 1 in y 6.296 * [backup-simplify]: Simplify 1 into 1 6.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.297 * [backup-simplify]: Simplify (+ 0 0) into 0 6.297 * [taylor]: Taking taylor expansion of 0 in y 6.297 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 6.298 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 6.298 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.298 * [taylor]: Taking taylor expansion of 3 in y 6.298 * [backup-simplify]: Simplify 3 into 3 6.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.298 * [taylor]: Taking taylor expansion of y in y 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.299 * [backup-simplify]: Simplify (* 1 1) into 1 6.299 * [backup-simplify]: Simplify (/ 1 1) into 1 6.299 * [backup-simplify]: Simplify (* 3 1) into 3 6.299 * [backup-simplify]: Simplify 3 into 3 6.299 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.301 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.301 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 6.301 * [backup-simplify]: Simplify (+ 0 0) into 0 6.301 * [taylor]: Taking taylor expansion of 0 in y 6.301 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.303 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.304 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.305 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 6.305 * [backup-simplify]: Simplify (+ 0 0) into 0 6.305 * [taylor]: Taking taylor expansion of 0 in y 6.305 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.307 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 6.308 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.308 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 6.308 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 6.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.308 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.308 * [taylor]: Taking taylor expansion of x in y 6.308 * [backup-simplify]: Simplify x into x 6.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.308 * [taylor]: Taking taylor expansion of y in y 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.308 * [taylor]: Taking taylor expansion of x in x 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.308 * [taylor]: Taking taylor expansion of y in x 6.308 * [backup-simplify]: Simplify y into y 6.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.308 * [taylor]: Taking taylor expansion of x in x 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.308 * [taylor]: Taking taylor expansion of y in x 6.308 * [backup-simplify]: Simplify y into y 6.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.308 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.308 * [taylor]: Taking taylor expansion of y in y 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.308 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.309 * [backup-simplify]: Simplify (+ 0 0) into 0 6.309 * [taylor]: Taking taylor expansion of 0 in y 6.309 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify (* 1 1) into 1 6.309 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.310 * [backup-simplify]: Simplify (+ 1 0) into 1 6.310 * [taylor]: Taking taylor expansion of 1 in y 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify (* 1 1) into 1 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.311 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.311 * [backup-simplify]: Simplify (+ 0 0) into 0 6.311 * [taylor]: Taking taylor expansion of 0 in y 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.313 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.313 * [backup-simplify]: Simplify (+ 0 0) into 0 6.313 * [taylor]: Taking taylor expansion of 0 in y 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 6.314 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 6.314 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 6.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.314 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.314 * [taylor]: Taking taylor expansion of x in y 6.314 * [backup-simplify]: Simplify x into x 6.314 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.314 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.314 * [taylor]: Taking taylor expansion of y in y 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.314 * [backup-simplify]: Simplify (* 1 1) into 1 6.315 * [backup-simplify]: Simplify (/ 1 1) into 1 6.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.315 * [taylor]: Taking taylor expansion of x in x 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 1 into 1 6.315 * [backup-simplify]: Simplify (* 1 1) into 1 6.315 * [backup-simplify]: Simplify (/ 1 1) into 1 6.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.315 * [taylor]: Taking taylor expansion of y in x 6.315 * [backup-simplify]: Simplify y into y 6.315 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.315 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.315 * [taylor]: Taking taylor expansion of x in x 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 1 into 1 6.316 * [backup-simplify]: Simplify (* 1 1) into 1 6.316 * [backup-simplify]: Simplify (/ 1 1) into 1 6.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.316 * [taylor]: Taking taylor expansion of y in x 6.316 * [backup-simplify]: Simplify y into y 6.316 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.317 * [backup-simplify]: Simplify (+ 1 0) into 1 6.317 * [taylor]: Taking taylor expansion of 1 in y 6.317 * [backup-simplify]: Simplify 1 into 1 6.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.318 * [backup-simplify]: Simplify (+ 0 0) into 0 6.318 * [taylor]: Taking taylor expansion of 0 in y 6.318 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.319 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.319 * [taylor]: Taking taylor expansion of y in y 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 1 into 1 6.319 * [backup-simplify]: Simplify (* 1 1) into 1 6.320 * [backup-simplify]: Simplify (/ 1 1) into 1 6.320 * [backup-simplify]: Simplify 1 into 1 6.320 * [backup-simplify]: Simplify 1 into 1 6.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.321 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.322 * [backup-simplify]: Simplify (+ 0 0) into 0 6.322 * [taylor]: Taking taylor expansion of 0 in y 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.326 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.326 * [backup-simplify]: Simplify (+ 0 0) into 0 6.327 * [taylor]: Taking taylor expansion of 0 in y 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.329 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 6.329 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 6.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.329 * [taylor]: Taking taylor expansion of x in y 6.329 * [backup-simplify]: Simplify x into x 6.330 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.330 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.330 * [taylor]: Taking taylor expansion of y in y 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 1 into 1 6.330 * [backup-simplify]: Simplify (* 1 1) into 1 6.331 * [backup-simplify]: Simplify (/ 1 1) into 1 6.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.331 * [taylor]: Taking taylor expansion of x in x 6.331 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify 1 into 1 6.331 * [backup-simplify]: Simplify (* 1 1) into 1 6.331 * [backup-simplify]: Simplify (/ 1 1) into 1 6.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.332 * [taylor]: Taking taylor expansion of y in x 6.332 * [backup-simplify]: Simplify y into y 6.332 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.332 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.332 * [taylor]: Taking taylor expansion of x in x 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify 1 into 1 6.332 * [backup-simplify]: Simplify (* 1 1) into 1 6.333 * [backup-simplify]: Simplify (/ 1 1) into 1 6.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.333 * [taylor]: Taking taylor expansion of y in x 6.333 * [backup-simplify]: Simplify y into y 6.333 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.333 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.333 * [backup-simplify]: Simplify (+ 1 0) into 1 6.334 * [taylor]: Taking taylor expansion of 1 in y 6.334 * [backup-simplify]: Simplify 1 into 1 6.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.335 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [taylor]: Taking taylor expansion of 0 in y 6.335 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.337 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.337 * [taylor]: Taking taylor expansion of y in y 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify 1 into 1 6.338 * [backup-simplify]: Simplify (* 1 1) into 1 6.338 * [backup-simplify]: Simplify (/ 1 1) into 1 6.338 * [backup-simplify]: Simplify 1 into 1 6.338 * [backup-simplify]: Simplify 1 into 1 6.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.340 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.341 * [backup-simplify]: Simplify (+ 0 0) into 0 6.341 * [taylor]: Taking taylor expansion of 0 in y 6.341 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.346 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.347 * [backup-simplify]: Simplify (+ 0 0) into 0 6.347 * [taylor]: Taking taylor expansion of 0 in y 6.347 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.349 * * * [progress]: simplifying candidates 6.350 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp (* y y))) (exp (* (* y 2) (pow y (/ 2 2))))) (* (exp (+ (* x x) (* y y))) (exp (* (* y 2) (pow y (/ 2 2))))) (log (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2))))) (exp (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2))))) (* (cbrt (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2))))) (cbrt (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2)))))) (cbrt (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2))))) (* (* (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2)))) (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2))))) (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2))))) (sqrt (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2))))) (sqrt (+ (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2))))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* (* y 2) (pow y (/ 2 2))) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* (* y 2) (pow y (/ 2 2))) (* (* y 2) (pow y (/ 2 2)))) (* (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2)))))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* (* y 2) (pow y (/ 2 2))) (* (* y 2) (pow y (/ 2 2))))) (- (+ (* x x) (* y y)) (* (* y 2) (pow y (/ 2 2)))) (+ (* y y) (* (* y 2) (pow y (/ 2 2)))) (* (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)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 6.352 * * [simplify]: Extracting # 0 : cost 0 6.352 * * [simplify]: Extracting # 1 : cost 0 6.352 * * [simplify]: Extracting # 2 : cost 0 6.352 * * [simplify]: Extracting # 3 : cost 0 6.353 * * [simplify]: Extracting # 4 : cost 0 6.353 * * [simplify]: Extracting # 5 : cost 0 6.353 * * [simplify]: Extracting # 6 : cost 0 6.353 * * [simplify]: Extracting # 7 : cost 0 6.353 * * [simplify]: iteration 0 : 57 enodes (cost 551 ) 6.381 * * [simplify]: Extracting # 0 : cost 0 6.381 * * [simplify]: Extracting # 1 : cost 0 6.381 * * [simplify]: Extracting # 2 : cost 0 6.382 * * [simplify]: Extracting # 3 : cost 0 6.382 * * [simplify]: Extracting # 4 : cost 0 6.382 * * [simplify]: iteration 1 : 189 enodes (cost 477 ) 6.518 * * [simplify]: Extracting # 0 : cost 0 6.520 * * [simplify]: Extracting # 1 : cost 0 6.521 * * [simplify]: Extracting # 2 : cost 0 6.523 * * [simplify]: Extracting # 3 : cost 0 6.524 * * [simplify]: Extracting # 4 : cost 0 6.526 * * [simplify]: iteration 2 : 687 enodes (cost 373 ) 7.169 * * [simplify]: Extracting # 0 : cost 0 7.176 * * [simplify]: Extracting # 1 : cost 0 7.183 * * [simplify]: Extracting # 2 : cost 0 7.188 * * [simplify]: Extracting # 3 : cost 0 7.193 * * [simplify]: Extracting # 4 : cost 0 7.198 * * [simplify]: iteration 3 : 3013 enodes (cost 337 ) 8.652 * * [simplify]: Extracting # 0 : cost 0 8.658 * * [simplify]: Extracting # 1 : cost 0 8.664 * * [simplify]: Extracting # 2 : cost 0 8.669 * * [simplify]: Extracting # 3 : cost 0 8.675 * * [simplify]: Extracting # 4 : cost 0 8.680 * * [simplify]: iteration done: 5000 enodes (cost 337 ) 8.681 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (* 8 (pow y 6)) (pow (+ (pow x 2) (pow y 2)) 3)) (+ (* (pow y 4) 4) (* (+ (* x x) (* y y)) (+ (* x x) (* y (- y (* y 2)))))) (* (+ (* x x) (* y (- y (* y 2)))) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y (- y (* y 2)))) (* 3 (pow y 2)) (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 (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 8.681 * * * [progress]: adding candidates to table 8.791 * * [progress]: iteration 4 / 4 8.791 * * * [progress]: picking best candidate 8.813 * * * * [pick]: Picked # 8.813 * * * [progress]: localizing error 8.835 * * * [progress]: generating rewritten candidates 8.835 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 8.844 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 8.853 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.892 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 8.946 * * * [progress]: generating series expansions 8.946 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 8.946 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 8.946 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 8.946 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 8.946 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.946 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.946 * [taylor]: Taking taylor expansion of x in y 8.946 * [backup-simplify]: Simplify x into x 8.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.946 * [taylor]: Taking taylor expansion of y in y 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.946 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.946 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.946 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.947 * [backup-simplify]: Simplify (+ 0 0) into 0 8.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.947 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 8.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.947 * [taylor]: Taking taylor expansion of x in x 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.947 * [taylor]: Taking taylor expansion of y in x 8.948 * [backup-simplify]: Simplify y into y 8.948 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.948 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.948 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.948 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.948 * [backup-simplify]: Simplify (+ 0 0) into 0 8.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 8.949 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.949 * [taylor]: Taking taylor expansion of x in x 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.949 * [taylor]: Taking taylor expansion of y in x 8.949 * [backup-simplify]: Simplify y into y 8.949 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.949 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.949 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.949 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.949 * [backup-simplify]: Simplify (+ 0 0) into 0 8.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.950 * [taylor]: Taking taylor expansion of y in y 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 1 into 1 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [taylor]: Taking taylor expansion of 0 in y 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 1 into 1 8.950 * [backup-simplify]: Simplify (* 1 1) into 1 8.950 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.951 * [backup-simplify]: Simplify (+ 1 0) into 1 8.951 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 8.951 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 8.951 * [taylor]: Taking taylor expansion of 1/2 in y 8.951 * [backup-simplify]: Simplify 1/2 into 1/2 8.951 * [taylor]: Taking taylor expansion of y in y 8.951 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 1 into 1 8.952 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.953 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.954 * [backup-simplify]: Simplify (+ 0 0) into 0 8.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 8.954 * [taylor]: Taking taylor expansion of 0 in y 8.954 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 8.955 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.955 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.955 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.955 * [taylor]: Taking taylor expansion of x in y 8.955 * [backup-simplify]: Simplify x into x 8.955 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.955 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.955 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.955 * [taylor]: Taking taylor expansion of y in y 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify (* 1 1) into 1 8.956 * [backup-simplify]: Simplify (/ 1 1) into 1 8.956 * [backup-simplify]: Simplify (+ 0 1) into 1 8.956 * [backup-simplify]: Simplify (sqrt 1) into 1 8.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.957 * [backup-simplify]: Simplify (+ 0 0) into 0 8.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.958 * [taylor]: Taking taylor expansion of x in x 8.958 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify 1 into 1 8.958 * [backup-simplify]: Simplify (* 1 1) into 1 8.959 * [backup-simplify]: Simplify (/ 1 1) into 1 8.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.959 * [taylor]: Taking taylor expansion of y in x 8.959 * [backup-simplify]: Simplify y into y 8.959 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.959 * [backup-simplify]: Simplify (+ 1 0) into 1 8.959 * [backup-simplify]: Simplify (sqrt 1) into 1 8.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.961 * [backup-simplify]: Simplify (+ 0 0) into 0 8.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.961 * [taylor]: Taking taylor expansion of x in x 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.961 * [backup-simplify]: Simplify (* 1 1) into 1 8.962 * [backup-simplify]: Simplify (/ 1 1) into 1 8.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.962 * [taylor]: Taking taylor expansion of y in x 8.962 * [backup-simplify]: Simplify y into y 8.962 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.962 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.962 * [backup-simplify]: Simplify (+ 1 0) into 1 8.962 * [backup-simplify]: Simplify (sqrt 1) into 1 8.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.964 * [backup-simplify]: Simplify (+ 0 0) into 0 8.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.964 * [taylor]: Taking taylor expansion of 1 in y 8.964 * [backup-simplify]: Simplify 1 into 1 8.965 * [taylor]: Taking taylor expansion of 0 in y 8.965 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify 1 into 1 8.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.966 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.967 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.967 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.967 * [taylor]: Taking taylor expansion of 1/2 in y 8.967 * [backup-simplify]: Simplify 1/2 into 1/2 8.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.967 * [taylor]: Taking taylor expansion of y in y 8.967 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify 1 into 1 8.967 * [backup-simplify]: Simplify (* 1 1) into 1 8.967 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.970 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.971 * [backup-simplify]: Simplify (+ 0 0) into 0 8.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.972 * [taylor]: Taking taylor expansion of 0 in y 8.972 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 8.974 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.974 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.975 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.975 * [taylor]: Taking taylor expansion of x in y 8.975 * [backup-simplify]: Simplify x into x 8.975 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.975 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.975 * [taylor]: Taking taylor expansion of y in y 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify 1 into 1 8.976 * [backup-simplify]: Simplify (* 1 1) into 1 8.976 * [backup-simplify]: Simplify (/ 1 1) into 1 8.977 * [backup-simplify]: Simplify (+ 0 1) into 1 8.977 * [backup-simplify]: Simplify (sqrt 1) into 1 8.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.979 * [backup-simplify]: Simplify (+ 0 0) into 0 8.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.980 * [taylor]: Taking taylor expansion of x in x 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 1 into 1 8.980 * [backup-simplify]: Simplify (* 1 1) into 1 8.981 * [backup-simplify]: Simplify (/ 1 1) into 1 8.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.981 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.981 * [taylor]: Taking taylor expansion of y in x 8.981 * [backup-simplify]: Simplify y into y 8.981 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.981 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.982 * [backup-simplify]: Simplify (+ 1 0) into 1 8.982 * [backup-simplify]: Simplify (sqrt 1) into 1 8.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.984 * [backup-simplify]: Simplify (+ 0 0) into 0 8.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.985 * [taylor]: Taking taylor expansion of x in x 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 1 into 1 8.985 * [backup-simplify]: Simplify (* 1 1) into 1 8.986 * [backup-simplify]: Simplify (/ 1 1) into 1 8.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.986 * [taylor]: Taking taylor expansion of y in x 8.986 * [backup-simplify]: Simplify y into y 8.986 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.986 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.987 * [backup-simplify]: Simplify (+ 1 0) into 1 8.987 * [backup-simplify]: Simplify (sqrt 1) into 1 8.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.989 * [backup-simplify]: Simplify (+ 0 0) into 0 8.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.990 * [taylor]: Taking taylor expansion of 1 in y 8.990 * [backup-simplify]: Simplify 1 into 1 8.990 * [taylor]: Taking taylor expansion of 0 in y 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 1 into 1 8.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.993 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.994 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.994 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.994 * [taylor]: Taking taylor expansion of 1/2 in y 8.994 * [backup-simplify]: Simplify 1/2 into 1/2 8.994 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.994 * [taylor]: Taking taylor expansion of y in y 8.994 * [backup-simplify]: Simplify 0 into 0 8.994 * [backup-simplify]: Simplify 1 into 1 8.995 * [backup-simplify]: Simplify (* 1 1) into 1 8.995 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.999 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.000 * [backup-simplify]: Simplify (+ 0 0) into 0 9.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 9.001 * [taylor]: Taking taylor expansion of 0 in y 9.001 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 9.003 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.003 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 9.003 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 9.003 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 9.003 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 9.003 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.003 * [taylor]: Taking taylor expansion of x in y 9.004 * [backup-simplify]: Simplify x into x 9.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.004 * [taylor]: Taking taylor expansion of y in y 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.004 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 9.004 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 9.004 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.005 * [backup-simplify]: Simplify (+ 0 0) into 0 9.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 9.005 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 9.005 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.005 * [taylor]: Taking taylor expansion of x in x 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.005 * [taylor]: Taking taylor expansion of y in x 9.005 * [backup-simplify]: Simplify y into y 9.005 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.005 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 9.005 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 9.006 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.006 * [backup-simplify]: Simplify (+ 0 0) into 0 9.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 9.006 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 9.006 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.006 * [taylor]: Taking taylor expansion of x in x 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.006 * [taylor]: Taking taylor expansion of y in x 9.006 * [backup-simplify]: Simplify y into y 9.006 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.007 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 9.007 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 9.007 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.007 * [backup-simplify]: Simplify (+ 0 0) into 0 9.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 9.007 * [taylor]: Taking taylor expansion of y in y 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 1 into 1 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [taylor]: Taking taylor expansion of 0 in y 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 1 into 1 9.008 * [backup-simplify]: Simplify (* 1 1) into 1 9.009 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.009 * [backup-simplify]: Simplify (+ 1 0) into 1 9.010 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 9.010 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 9.010 * [taylor]: Taking taylor expansion of 1/2 in y 9.010 * [backup-simplify]: Simplify 1/2 into 1/2 9.010 * [taylor]: Taking taylor expansion of y in y 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.013 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.014 * [backup-simplify]: Simplify (+ 0 0) into 0 9.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 9.014 * [taylor]: Taking taylor expansion of 0 in y 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 9.015 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 9.015 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 9.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 9.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.016 * [taylor]: Taking taylor expansion of x in y 9.016 * [backup-simplify]: Simplify x into x 9.016 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.016 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.016 * [taylor]: Taking taylor expansion of y in y 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 1 into 1 9.016 * [backup-simplify]: Simplify (* 1 1) into 1 9.017 * [backup-simplify]: Simplify (/ 1 1) into 1 9.017 * [backup-simplify]: Simplify (+ 0 1) into 1 9.018 * [backup-simplify]: Simplify (sqrt 1) into 1 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.020 * [backup-simplify]: Simplify (+ 0 0) into 0 9.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.021 * [taylor]: Taking taylor expansion of x in x 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 1 into 1 9.021 * [backup-simplify]: Simplify (* 1 1) into 1 9.021 * [backup-simplify]: Simplify (/ 1 1) into 1 9.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.021 * [taylor]: Taking taylor expansion of y in x 9.021 * [backup-simplify]: Simplify y into y 9.022 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.022 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.022 * [backup-simplify]: Simplify (+ 1 0) into 1 9.023 * [backup-simplify]: Simplify (sqrt 1) into 1 9.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (+ 0 0) into 0 9.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.025 * [taylor]: Taking taylor expansion of x in x 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (* 1 1) into 1 9.026 * [backup-simplify]: Simplify (/ 1 1) into 1 9.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.026 * [taylor]: Taking taylor expansion of y in x 9.026 * [backup-simplify]: Simplify y into y 9.026 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.027 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.027 * [backup-simplify]: Simplify (+ 1 0) into 1 9.028 * [backup-simplify]: Simplify (sqrt 1) into 1 9.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (+ 0 0) into 0 9.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.030 * [taylor]: Taking taylor expansion of 1 in y 9.030 * [backup-simplify]: Simplify 1 into 1 9.030 * [taylor]: Taking taylor expansion of 0 in y 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify 1 into 1 9.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.032 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.033 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 9.033 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 9.033 * [taylor]: Taking taylor expansion of 1/2 in y 9.033 * [backup-simplify]: Simplify 1/2 into 1/2 9.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.033 * [taylor]: Taking taylor expansion of y in y 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify 1 into 1 9.033 * [backup-simplify]: Simplify (* 1 1) into 1 9.033 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.036 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.036 * [backup-simplify]: Simplify (+ 0 0) into 0 9.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 9.037 * [taylor]: Taking taylor expansion of 0 in y 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 9.038 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 9.038 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 9.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 9.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.038 * [taylor]: Taking taylor expansion of x in y 9.038 * [backup-simplify]: Simplify x into x 9.038 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.038 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.038 * [taylor]: Taking taylor expansion of y in y 9.038 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify 1 into 1 9.039 * [backup-simplify]: Simplify (* 1 1) into 1 9.039 * [backup-simplify]: Simplify (/ 1 1) into 1 9.039 * [backup-simplify]: Simplify (+ 0 1) into 1 9.040 * [backup-simplify]: Simplify (sqrt 1) into 1 9.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.041 * [backup-simplify]: Simplify (+ 0 0) into 0 9.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.042 * [taylor]: Taking taylor expansion of x in x 9.042 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify (* 1 1) into 1 9.043 * [backup-simplify]: Simplify (/ 1 1) into 1 9.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.043 * [taylor]: Taking taylor expansion of y in x 9.043 * [backup-simplify]: Simplify y into y 9.043 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.043 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.043 * [backup-simplify]: Simplify (+ 1 0) into 1 9.044 * [backup-simplify]: Simplify (sqrt 1) into 1 9.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (+ 0 0) into 0 9.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.046 * [taylor]: Taking taylor expansion of x in x 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify 1 into 1 9.046 * [backup-simplify]: Simplify (* 1 1) into 1 9.046 * [backup-simplify]: Simplify (/ 1 1) into 1 9.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.046 * [taylor]: Taking taylor expansion of y in x 9.047 * [backup-simplify]: Simplify y into y 9.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.047 * [backup-simplify]: Simplify (+ 1 0) into 1 9.047 * [backup-simplify]: Simplify (sqrt 1) into 1 9.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.048 * [backup-simplify]: Simplify (+ 0 0) into 0 9.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.049 * [taylor]: Taking taylor expansion of 1 in y 9.049 * [backup-simplify]: Simplify 1 into 1 9.049 * [taylor]: Taking taylor expansion of 0 in y 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 1 into 1 9.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.055 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 9.055 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 9.055 * [taylor]: Taking taylor expansion of 1/2 in y 9.055 * [backup-simplify]: Simplify 1/2 into 1/2 9.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.055 * [taylor]: Taking taylor expansion of y in y 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 1 into 1 9.055 * [backup-simplify]: Simplify (* 1 1) into 1 9.056 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.058 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.059 * [backup-simplify]: Simplify (+ 0 0) into 0 9.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 9.059 * [taylor]: Taking taylor expansion of 0 in y 9.059 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 9.061 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.061 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2)))) into (+ (pow x 2) (* 3 (pow y 2))) 9.061 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 9.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 9.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.061 * [taylor]: Taking taylor expansion of x in y 9.061 * [backup-simplify]: Simplify x into x 9.061 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 9.061 * [taylor]: Taking taylor expansion of 3 in y 9.062 * [backup-simplify]: Simplify 3 into 3 9.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.062 * [taylor]: Taking taylor expansion of y in y 9.062 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify 1 into 1 9.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 9.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.062 * [taylor]: Taking taylor expansion of x in x 9.062 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify 1 into 1 9.062 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 9.062 * [taylor]: Taking taylor expansion of 3 in x 9.062 * [backup-simplify]: Simplify 3 into 3 9.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.062 * [taylor]: Taking taylor expansion of y in x 9.062 * [backup-simplify]: Simplify y into y 9.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 9.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.062 * [taylor]: Taking taylor expansion of x in x 9.062 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify 1 into 1 9.062 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 9.062 * [taylor]: Taking taylor expansion of 3 in x 9.062 * [backup-simplify]: Simplify 3 into 3 9.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.062 * [taylor]: Taking taylor expansion of y in x 9.062 * [backup-simplify]: Simplify y into y 9.062 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.062 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 9.062 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 9.062 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 9.062 * [taylor]: Taking taylor expansion of 3 in y 9.062 * [backup-simplify]: Simplify 3 into 3 9.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.062 * [taylor]: Taking taylor expansion of y in y 9.062 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify 1 into 1 9.062 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.063 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 9.063 * [backup-simplify]: Simplify (+ 0 0) into 0 9.063 * [taylor]: Taking taylor expansion of 0 in y 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify (* 1 1) into 1 9.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.064 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 9.065 * [backup-simplify]: Simplify (+ 1 0) into 1 9.065 * [taylor]: Taking taylor expansion of 1 in y 9.065 * [backup-simplify]: Simplify 1 into 1 9.065 * [backup-simplify]: Simplify 1 into 1 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (* 1 1) into 1 9.065 * [backup-simplify]: Simplify (* 3 1) into 3 9.065 * [backup-simplify]: Simplify 3 into 3 9.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.066 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.067 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.067 * [backup-simplify]: Simplify (+ 0 0) into 0 9.067 * [taylor]: Taking taylor expansion of 0 in y 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.068 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 9.068 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.071 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 9.071 * [backup-simplify]: Simplify (+ 0 0) into 0 9.071 * [taylor]: Taking taylor expansion of 0 in y 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 9.072 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (* (* (/ 1 y) 2) (pow (/ 1 y) (/ 2 2)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 9.072 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 9.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 9.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.072 * [taylor]: Taking taylor expansion of x in y 9.073 * [backup-simplify]: Simplify x into x 9.073 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.073 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.073 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 9.073 * [taylor]: Taking taylor expansion of 3 in y 9.073 * [backup-simplify]: Simplify 3 into 3 9.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.073 * [taylor]: Taking taylor expansion of y in y 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 1 into 1 9.073 * [backup-simplify]: Simplify (* 1 1) into 1 9.073 * [backup-simplify]: Simplify (/ 1 1) into 1 9.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 9.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.074 * [taylor]: Taking taylor expansion of x in x 9.074 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify 1 into 1 9.074 * [backup-simplify]: Simplify (* 1 1) into 1 9.074 * [backup-simplify]: Simplify (/ 1 1) into 1 9.074 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 9.074 * [taylor]: Taking taylor expansion of 3 in x 9.074 * [backup-simplify]: Simplify 3 into 3 9.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.074 * [taylor]: Taking taylor expansion of y in x 9.074 * [backup-simplify]: Simplify y into y 9.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.074 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 9.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.074 * [taylor]: Taking taylor expansion of x in x 9.074 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify 1 into 1 9.075 * [backup-simplify]: Simplify (* 1 1) into 1 9.075 * [backup-simplify]: Simplify (/ 1 1) into 1 9.075 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 9.075 * [taylor]: Taking taylor expansion of 3 in x 9.075 * [backup-simplify]: Simplify 3 into 3 9.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.075 * [taylor]: Taking taylor expansion of y in x 9.075 * [backup-simplify]: Simplify y into y 9.075 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.076 * [backup-simplify]: Simplify (+ 1 0) into 1 9.076 * [taylor]: Taking taylor expansion of 1 in y 9.076 * [backup-simplify]: Simplify 1 into 1 9.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.077 * [backup-simplify]: Simplify (+ 0 0) into 0 9.077 * [taylor]: Taking taylor expansion of 0 in y 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.078 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 9.078 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 9.078 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 9.078 * [taylor]: Taking taylor expansion of 3 in y 9.078 * [backup-simplify]: Simplify 3 into 3 9.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.078 * [taylor]: Taking taylor expansion of y in y 9.078 * [backup-simplify]: Simplify 0 into 0 9.078 * [backup-simplify]: Simplify 1 into 1 9.079 * [backup-simplify]: Simplify (* 1 1) into 1 9.079 * [backup-simplify]: Simplify (/ 1 1) into 1 9.079 * [backup-simplify]: Simplify (* 3 1) into 3 9.079 * [backup-simplify]: Simplify 3 into 3 9.079 * [backup-simplify]: Simplify 1 into 1 9.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.081 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 9.082 * [backup-simplify]: Simplify (+ 0 0) into 0 9.082 * [taylor]: Taking taylor expansion of 0 in y 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.083 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.085 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.086 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 9.086 * [backup-simplify]: Simplify (+ 0 0) into 0 9.086 * [taylor]: Taking taylor expansion of 0 in y 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.088 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 9.089 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (* (* (/ 1 (- y)) 2) (pow (/ 1 (- y)) (/ 2 2)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 9.089 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 9.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 9.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.089 * [taylor]: Taking taylor expansion of x in y 9.089 * [backup-simplify]: Simplify x into x 9.089 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.089 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.089 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 9.089 * [taylor]: Taking taylor expansion of 3 in y 9.089 * [backup-simplify]: Simplify 3 into 3 9.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.089 * [taylor]: Taking taylor expansion of y in y 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify 1 into 1 9.089 * [backup-simplify]: Simplify (* 1 1) into 1 9.090 * [backup-simplify]: Simplify (/ 1 1) into 1 9.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 9.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.090 * [taylor]: Taking taylor expansion of x in x 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 1 into 1 9.090 * [backup-simplify]: Simplify (* 1 1) into 1 9.091 * [backup-simplify]: Simplify (/ 1 1) into 1 9.091 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 9.091 * [taylor]: Taking taylor expansion of 3 in x 9.091 * [backup-simplify]: Simplify 3 into 3 9.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.091 * [taylor]: Taking taylor expansion of y in x 9.091 * [backup-simplify]: Simplify y into y 9.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.091 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 9.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.091 * [taylor]: Taking taylor expansion of x in x 9.091 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify 1 into 1 9.091 * [backup-simplify]: Simplify (* 1 1) into 1 9.092 * [backup-simplify]: Simplify (/ 1 1) into 1 9.092 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 9.092 * [taylor]: Taking taylor expansion of 3 in x 9.092 * [backup-simplify]: Simplify 3 into 3 9.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.092 * [taylor]: Taking taylor expansion of y in x 9.092 * [backup-simplify]: Simplify y into y 9.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.092 * [backup-simplify]: Simplify (+ 1 0) into 1 9.092 * [taylor]: Taking taylor expansion of 1 in y 9.092 * [backup-simplify]: Simplify 1 into 1 9.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.093 * [backup-simplify]: Simplify (+ 0 0) into 0 9.093 * [taylor]: Taking taylor expansion of 0 in y 9.093 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.095 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 9.096 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 9.096 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 9.096 * [taylor]: Taking taylor expansion of 3 in y 9.096 * [backup-simplify]: Simplify 3 into 3 9.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.096 * [taylor]: Taking taylor expansion of y in y 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify 1 into 1 9.096 * [backup-simplify]: Simplify (* 1 1) into 1 9.097 * [backup-simplify]: Simplify (/ 1 1) into 1 9.097 * [backup-simplify]: Simplify (* 3 1) into 3 9.097 * [backup-simplify]: Simplify 3 into 3 9.097 * [backup-simplify]: Simplify 1 into 1 9.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.100 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 9.101 * [backup-simplify]: Simplify (+ 0 0) into 0 9.101 * [taylor]: Taking taylor expansion of 0 in y 9.101 * [backup-simplify]: Simplify 0 into 0 9.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.103 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 0 into 0 9.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.106 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.108 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 9.108 * [backup-simplify]: Simplify (+ 0 0) into 0 9.108 * [taylor]: Taking taylor expansion of 0 in y 9.108 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.111 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 9.112 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 9.112 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2)) 9.112 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 9.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 9.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.112 * [taylor]: Taking taylor expansion of x in y 9.112 * [backup-simplify]: Simplify x into x 9.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.112 * [taylor]: Taking taylor expansion of y in y 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.113 * [taylor]: Taking taylor expansion of x in x 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 1 into 1 9.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.113 * [taylor]: Taking taylor expansion of y in x 9.113 * [backup-simplify]: Simplify y into y 9.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.113 * [taylor]: Taking taylor expansion of x in x 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 1 into 1 9.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.113 * [taylor]: Taking taylor expansion of y in x 9.113 * [backup-simplify]: Simplify y into y 9.113 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.113 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 9.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.113 * [taylor]: Taking taylor expansion of y in y 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 1 into 1 9.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.114 * [backup-simplify]: Simplify (+ 0 0) into 0 9.114 * [taylor]: Taking taylor expansion of 0 in y 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify (* 1 1) into 1 9.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.115 * [backup-simplify]: Simplify (+ 1 0) into 1 9.115 * [taylor]: Taking taylor expansion of 1 in y 9.116 * [backup-simplify]: Simplify 1 into 1 9.116 * [backup-simplify]: Simplify 1 into 1 9.116 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify (* 1 1) into 1 9.116 * [backup-simplify]: Simplify 1 into 1 9.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.117 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.118 * [backup-simplify]: Simplify (+ 0 0) into 0 9.118 * [taylor]: Taking taylor expansion of 0 in y 9.118 * [backup-simplify]: Simplify 0 into 0 9.118 * [backup-simplify]: Simplify 0 into 0 9.118 * [backup-simplify]: Simplify 0 into 0 9.118 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.119 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.121 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.121 * [backup-simplify]: Simplify (+ 0 0) into 0 9.121 * [taylor]: Taking taylor expansion of 0 in y 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 0 into 0 9.122 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 9.122 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 9.122 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 9.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.123 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.123 * [taylor]: Taking taylor expansion of x in y 9.123 * [backup-simplify]: Simplify x into x 9.123 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.123 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.123 * [taylor]: Taking taylor expansion of y in y 9.123 * [backup-simplify]: Simplify 0 into 0 9.123 * [backup-simplify]: Simplify 1 into 1 9.123 * [backup-simplify]: Simplify (* 1 1) into 1 9.124 * [backup-simplify]: Simplify (/ 1 1) into 1 9.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.124 * [taylor]: Taking taylor expansion of x in x 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.124 * [backup-simplify]: Simplify (* 1 1) into 1 9.125 * [backup-simplify]: Simplify (/ 1 1) into 1 9.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.125 * [taylor]: Taking taylor expansion of y in x 9.125 * [backup-simplify]: Simplify y into y 9.125 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.125 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.125 * [taylor]: Taking taylor expansion of x in x 9.125 * [backup-simplify]: Simplify 0 into 0 9.125 * [backup-simplify]: Simplify 1 into 1 9.126 * [backup-simplify]: Simplify (* 1 1) into 1 9.126 * [backup-simplify]: Simplify (/ 1 1) into 1 9.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.126 * [taylor]: Taking taylor expansion of y in x 9.126 * [backup-simplify]: Simplify y into y 9.126 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.127 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.127 * [backup-simplify]: Simplify (+ 1 0) into 1 9.127 * [taylor]: Taking taylor expansion of 1 in y 9.127 * [backup-simplify]: Simplify 1 into 1 9.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.129 * [backup-simplify]: Simplify (+ 0 0) into 0 9.129 * [taylor]: Taking taylor expansion of 0 in y 9.129 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.132 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.132 * [taylor]: Taking taylor expansion of y in y 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (* 1 1) into 1 9.133 * [backup-simplify]: Simplify (/ 1 1) into 1 9.133 * [backup-simplify]: Simplify 1 into 1 9.133 * [backup-simplify]: Simplify 1 into 1 9.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.134 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.135 * [backup-simplify]: Simplify (+ 0 0) into 0 9.135 * [taylor]: Taking taylor expansion of 0 in y 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.136 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.138 * [backup-simplify]: Simplify (+ 0 0) into 0 9.138 * [taylor]: Taking taylor expansion of 0 in y 9.138 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 9.140 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 9.140 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 9.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.140 * [taylor]: Taking taylor expansion of x in y 9.140 * [backup-simplify]: Simplify x into x 9.140 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.140 * [taylor]: Taking taylor expansion of y in y 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify 1 into 1 9.140 * [backup-simplify]: Simplify (* 1 1) into 1 9.141 * [backup-simplify]: Simplify (/ 1 1) into 1 9.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.141 * [taylor]: Taking taylor expansion of x in x 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify 1 into 1 9.141 * [backup-simplify]: Simplify (* 1 1) into 1 9.141 * [backup-simplify]: Simplify (/ 1 1) into 1 9.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.141 * [taylor]: Taking taylor expansion of y in x 9.141 * [backup-simplify]: Simplify y into y 9.142 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.142 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.142 * [taylor]: Taking taylor expansion of x in x 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [backup-simplify]: Simplify (* 1 1) into 1 9.142 * [backup-simplify]: Simplify (/ 1 1) into 1 9.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.142 * [taylor]: Taking taylor expansion of y in x 9.142 * [backup-simplify]: Simplify y into y 9.142 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.142 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.143 * [backup-simplify]: Simplify (+ 1 0) into 1 9.143 * [taylor]: Taking taylor expansion of 1 in y 9.143 * [backup-simplify]: Simplify 1 into 1 9.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.144 * [backup-simplify]: Simplify (+ 0 0) into 0 9.144 * [taylor]: Taking taylor expansion of 0 in y 9.144 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.145 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.145 * [taylor]: Taking taylor expansion of y in y 9.145 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify 1 into 1 9.146 * [backup-simplify]: Simplify (* 1 1) into 1 9.146 * [backup-simplify]: Simplify (/ 1 1) into 1 9.146 * [backup-simplify]: Simplify 1 into 1 9.146 * [backup-simplify]: Simplify 1 into 1 9.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.147 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.148 * [backup-simplify]: Simplify (+ 0 0) into 0 9.148 * [taylor]: Taking taylor expansion of 0 in y 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.150 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.151 * [backup-simplify]: Simplify (+ 0 0) into 0 9.151 * [taylor]: Taking taylor expansion of 0 in y 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 9.152 * * * [progress]: simplifying candidates 9.154 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (* y 2) (pow y (/ 2 2))))) (log (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2))))) (exp (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2))))) (* (cbrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2))))) (cbrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2)))))) (cbrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2))))) (* (* (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2)))) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2))))) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2))))) (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2))))) (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2))))) (+ (pow (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) 3) (pow (* (* y 2) (pow y (/ 2 2))) 3)) (+ (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (- (* (* (* y 2) (pow y (/ 2 2))) (* (* y 2) (pow y (/ 2 2)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2)))))) (- (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* y 2) (pow y (/ 2 2))) (* (* y 2) (pow y (/ 2 2))))) (- (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) (pow y (/ 2 2)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 9.157 * * [simplify]: Extracting # 0 : cost 0 9.157 * * [simplify]: Extracting # 1 : cost 0 9.157 * * [simplify]: Extracting # 2 : cost 0 9.157 * * [simplify]: Extracting # 3 : cost 0 9.158 * * [simplify]: Extracting # 4 : cost 0 9.158 * * [simplify]: Extracting # 5 : cost 0 9.158 * * [simplify]: Extracting # 6 : cost 0 9.158 * * [simplify]: Extracting # 7 : cost 0 9.158 * * [simplify]: iteration 0 : 111 enodes (cost 2348 ) 9.201 * * [simplify]: Extracting # 0 : cost 0 9.202 * * [simplify]: Extracting # 1 : cost 0 9.202 * * [simplify]: Extracting # 2 : cost 0 9.202 * * [simplify]: Extracting # 3 : cost 0 9.202 * * [simplify]: Extracting # 4 : cost 0 9.203 * * [simplify]: Extracting # 5 : cost 0 9.203 * * [simplify]: iteration 1 : 257 enodes (cost 1511 ) 9.306 * * [simplify]: Extracting # 0 : cost 0 9.307 * * [simplify]: Extracting # 1 : cost 0 9.308 * * [simplify]: Extracting # 2 : cost 0 9.309 * * [simplify]: Extracting # 3 : cost 0 9.310 * * [simplify]: Extracting # 4 : cost 0 9.311 * * [simplify]: Extracting # 5 : cost 0 9.312 * * [simplify]: iteration 2 : 882 enodes (cost 1291 ) 10.406 * * [simplify]: Extracting # 0 : cost 0 10.411 * * [simplify]: Extracting # 1 : cost 0 10.416 * * [simplify]: Extracting # 2 : cost 0 10.420 * * [simplify]: Extracting # 3 : cost 0 10.428 * * [simplify]: Extracting # 4 : cost 0 10.433 * * [simplify]: Extracting # 5 : cost 0 10.437 * * [simplify]: iteration 3 : 3879 enodes (cost 1193 ) 12.808 * * [simplify]: Extracting # 0 : cost 0 12.816 * * [simplify]: Extracting # 1 : cost 0 12.826 * * [simplify]: Extracting # 2 : cost 0 12.837 * * [simplify]: Extracting # 3 : cost 0 12.856 * * [simplify]: Extracting # 4 : cost 0 12.866 * * [simplify]: iteration done: 5001 enodes (cost 1171 ) 12.867 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow (+ (pow y 2) (pow x 2)) 3) (* (pow y 6) 8)) (+ (* (pow y 4) 4) (* (+ (* x x) (* y y)) (+ (* x x) (* y (- y (* 2 y)))))) (- (pow (sqrt (+ (* x x) (* y y))) 4) (* (pow y 4) 4)) (+ (* x x) (* y (- y (* 2 y)))) 1 1 2 1 1 (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (+ (pow y 2) (pow x 2))) (log (+ (pow y 2) (pow x 2))) (exp (+ (* x x) (* y y))) (pow (+ (pow y 2) (pow x 2)) 3) (pow (sqrt (cbrt (+ (pow y 2) (pow x 2)))) 4) (cbrt (+ (pow y 2) (pow x 2))) (pow (+ (pow y 2) (pow x 2)) 3) (pow (sqrt (+ (* x x) (* y y))) 4) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (cbrt (+ (pow y 2) (pow x 2)))) 4) (cbrt (+ (pow y 2) (pow x 2))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) y x (- x) y x (- x) (+ (* 3 (pow y 2)) (* x x)) (+ (* 3 (pow y 2)) (* x x)) (+ (* 3 (pow y 2)) (* x x)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 12.869 * * * [progress]: adding candidates to table 13.324 * [progress]: [Phase 3 of 3] Extracting. 13.324 * * [regime]: Finding splitpoints for: (# # # # # # #)