26.083 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.038 * * [simplify]: iteration 0: 7 enodes 0.039 * * [simplify]: iteration 1: 14 enodes 0.041 * * [simplify]: iteration 2: 29 enodes 0.046 * * [simplify]: iteration 3: 51 enodes 0.053 * * [simplify]: iteration 4: 71 enodes 0.061 * * [simplify]: iteration 5: 79 enodes 0.069 * * [simplify]: iteration complete: 79 enodes 0.070 * * [simplify]: Extracting #0: cost 1 inf + 0 0.070 * * [simplify]: Extracting #1: cost 13 inf + 0 0.070 * * [simplify]: Extracting #2: cost 4 inf + 321 0.070 * * [simplify]: Extracting #3: cost 0 inf + 704 0.070 * [simplify]: Simplified to: (fma x x (* (* y 3) y)) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.108 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.212 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.258 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.271 * * * [progress]: generating series expansions 0.271 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.272 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (* 3 (pow y 2)) (pow x 2)) 0.272 * [approximate]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 0.272 * [taylor]: Taking taylor expansion of (* 3 (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 (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [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 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of 3 in x 0.272 * [backup-simplify]: Simplify 3 into 3 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [backup-simplify]: Simplify y into y 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 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of 3 in x 0.273 * [backup-simplify]: Simplify 3 into 3 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [backup-simplify]: Simplify y into y 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 (* y y) into (pow y 2) 0.273 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.273 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 0.273 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of 3 in y 0.273 * [backup-simplify]: Simplify 3 into 3 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.275 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (+ 0 1) into 1 0.278 * [taylor]: Taking taylor expansion of 1 in y 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (* 3 1) into 3 0.279 * [backup-simplify]: Simplify 3 into 3 0.280 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 0.289 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.289 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.289 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.289 * [taylor]: Taking taylor expansion of 3 in y 0.289 * [backup-simplify]: Simplify 3 into 3 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [backup-simplify]: Simplify x into x 0.290 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.290 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.290 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.290 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.290 * [taylor]: Taking taylor expansion of 3 in x 0.290 * [backup-simplify]: Simplify 3 into 3 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [backup-simplify]: Simplify y into y 0.290 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.290 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.291 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.291 * [taylor]: Taking taylor expansion of 3 in x 0.291 * [backup-simplify]: Simplify 3 into 3 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [backup-simplify]: Simplify y into y 0.291 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.291 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (+ 0 1) into 1 0.292 * [taylor]: Taking taylor expansion of 1 in y 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 0.294 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.294 * [taylor]: Taking taylor expansion of 3 in y 0.294 * [backup-simplify]: Simplify 3 into 3 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [backup-simplify]: Simplify (* 3 1) into 3 0.295 * [backup-simplify]: Simplify 3 into 3 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 0.303 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.303 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.303 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.303 * [taylor]: Taking taylor expansion of 3 in y 0.303 * [backup-simplify]: Simplify 3 into 3 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [backup-simplify]: Simplify x into x 0.304 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.304 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.304 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.304 * [taylor]: Taking taylor expansion of 3 in x 0.304 * [backup-simplify]: Simplify 3 into 3 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [backup-simplify]: Simplify y into y 0.304 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.305 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.305 * [taylor]: Taking taylor expansion of 3 in x 0.305 * [backup-simplify]: Simplify 3 into 3 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [backup-simplify]: Simplify y into y 0.305 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.305 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [backup-simplify]: Simplify (+ 0 1) into 1 0.306 * [taylor]: Taking taylor expansion of 1 in y 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 0.309 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.309 * [taylor]: Taking taylor expansion of 3 in y 0.309 * [backup-simplify]: Simplify 3 into 3 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [backup-simplify]: Simplify (* 3 1) into 3 0.309 * [backup-simplify]: Simplify 3 into 3 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 0.317 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.317 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (* 2 (pow y 2)) (pow x 2)) 0.317 * [approximate]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in (x y) around 0 0.317 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 0.317 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of 2 in y 0.317 * [backup-simplify]: Simplify 2 into 2 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [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 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 0.318 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of 2 in x 0.318 * [backup-simplify]: Simplify 2 into 2 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 0.318 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of 2 in x 0.318 * [backup-simplify]: Simplify 2 into 2 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.318 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 0.318 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 0.318 * [taylor]: Taking taylor expansion of (* 2 (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 (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 (+ (* y 0) (* 0 y)) into 0 0.319 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (+ 0 1) into 1 0.320 * [taylor]: Taking taylor expansion of 1 in y 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (* 2 1) into 2 0.321 * [backup-simplify]: Simplify 2 into 2 0.322 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 0.330 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.330 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.330 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.330 * [taylor]: Taking taylor expansion of 2 in y 0.330 * [backup-simplify]: Simplify 2 into 2 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [backup-simplify]: Simplify x into x 0.332 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.332 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.332 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.332 * [taylor]: Taking taylor expansion of 2 in x 0.332 * [backup-simplify]: Simplify 2 into 2 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [backup-simplify]: Simplify y into y 0.332 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.332 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.333 * [taylor]: Taking taylor expansion of 2 in x 0.333 * [backup-simplify]: Simplify 2 into 2 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [backup-simplify]: Simplify y into y 0.333 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.333 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ 0 1) into 1 0.335 * [taylor]: Taking taylor expansion of 1 in y 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 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 (pow y 2)) 0) 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 0.340 * [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 (+ (* y 0) (* 0 y)) into 0 0.341 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 0.354 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.354 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.354 * [taylor]: Taking taylor expansion of 2 in y 0.354 * [backup-simplify]: Simplify 2 into 2 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [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)) 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 (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.355 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of 2 in x 0.355 * [backup-simplify]: Simplify 2 into 2 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [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)) 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 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.357 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.357 * [taylor]: Taking taylor expansion of 2 in x 0.357 * [backup-simplify]: Simplify 2 into 2 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 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (+ 0 1) into 1 0.359 * [taylor]: Taking taylor expansion of 1 in y 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 0.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.363 * [taylor]: Taking taylor expansion of 2 in y 0.363 * [backup-simplify]: Simplify 2 into 2 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (* 2 1) into 2 0.364 * [backup-simplify]: Simplify 2 into 2 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 0.379 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.380 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.380 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [backup-simplify]: Simplify x into x 0.380 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [backup-simplify]: Simplify y into y 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [backup-simplify]: Simplify y into y 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.381 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (+ 0 1) into 1 0.383 * [taylor]: Taking taylor expansion of 1 in y 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.390 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.390 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [backup-simplify]: Simplify x into x 0.391 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.392 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [backup-simplify]: Simplify y into y 0.392 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.392 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [backup-simplify]: Simplify y into y 0.393 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.393 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (* 1 1) into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [backup-simplify]: Simplify (+ 0 1) into 1 0.395 * [taylor]: Taking taylor expansion of 1 in y 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.411 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.411 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [backup-simplify]: Simplify x into x 0.412 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.412 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [backup-simplify]: Simplify y into y 0.412 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.413 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [backup-simplify]: Simplify y into y 0.414 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.414 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [backup-simplify]: Simplify (+ 0 1) into 1 0.415 * [taylor]: Taking taylor expansion of 1 in y 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.431 * * * [progress]: simplifying candidates 0.432 * [simplify]: Simplifying: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (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)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* 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)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* 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)) (+ (* 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) (pow x 2)) 0.434 * * [simplify]: iteration 0: 76 enodes 0.450 * * [simplify]: iteration 1: 276 enodes 0.637 * * [simplify]: iteration 2: 1763 enodes 2.533 * * [simplify]: iteration complete: 5002 enodes 2.533 * * [simplify]: Extracting #0: cost 39 inf + 0 2.535 * * [simplify]: Extracting #1: cost 646 inf + 0 2.541 * * [simplify]: Extracting #2: cost 1488 inf + 4008 2.559 * * [simplify]: Extracting #3: cost 969 inf + 51030 2.592 * * [simplify]: Extracting #4: cost 321 inf + 144596 2.656 * * [simplify]: Extracting #5: cost 13 inf + 212862 2.723 * * [simplify]: Extracting #6: cost 0 inf + 216061 2.779 * [simplify]: Simplified to: (expm1 (fma x x (fma (* y y) 2 (* y y)))) (log1p (fma x x (fma (* y y) 2 (* y y)))) (exp (fma x x (fma (* y y) 2 (* y y)))) (exp (fma x x (fma (* y y) 2 (* y y)))) (exp (fma x x (fma (* y y) 2 (* y y)))) (log (fma x x (fma (* y y) 2 (* y y)))) (exp (fma x x (fma (* y y) 2 (* y y)))) (* (cbrt (fma x x (fma (* y y) 2 (* y y)))) (cbrt (fma x x (fma (* y y) 2 (* y y))))) (cbrt (fma x x (fma (* y y) 2 (* y y)))) (* (* (fma x x (fma (* y y) 2 (* y y))) (fma x x (fma (* y y) 2 (* y y)))) (fma x x (fma (* y y) 2 (* y y)))) (sqrt (fma x x (fma (* y y) 2 (* y y)))) (sqrt (fma x x (fma (* y y) 2 (* y y)))) (fma (* (* y y) (* y y)) (* y y) (* (* (fma y (+ y y) (* x x)) (fma y (+ y y) (* x x))) (fma y (+ y y) (* x x)))) (fma (- (fma x x (* y y))) (* y y) (* (fma y (+ y y) (* x x)) (fma y (+ y y) (* x x)))) (* (fma x x (fma (* y y) 2 (* y y))) (fma x x (* y y))) (fma x x (* y y)) (+ (* y y) (* y y)) (expm1 (fma y (+ y y) (* x x))) (log1p (fma y (+ y y) (* x x))) (exp (fma y (+ y y) (* x x))) (exp (fma y (+ y y) (* x x))) (log (fma y (+ y y) (* x x))) (exp (fma y (+ y y) (* x x))) (* (cbrt (fma y (+ y y) (* x x))) (cbrt (fma y (+ y y) (* x x)))) (cbrt (fma y (+ y y) (* x x))) (* (* (fma y (+ y y) (* x x)) (fma y (+ y y) (* x x))) (fma y (+ y y) (* x x))) (sqrt (fma y (+ y y) (* x x))) (sqrt (fma y (+ y y) (* x x))) (fma (* (* y y) (* y y)) (* y y) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y)))) (fma (fma x x (* y y)) (fma x x (* y y)) (* (* y y) (- (* x x)))) (* (* x x) (fma y (+ y y) (* x x))) (* x x) (+ (* y y) (* y y)) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (exp (fma x x (* y y))) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (hypot x y) (hypot x y) (fma (* y (* y y)) (* y (* y y)) (* (* (* x x) x) (* (* x x) x))) (- (fma (* x x) (* x x) (* (* y y) (* y y))) (* (* x y) (* x y))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (+ x y) (- x y)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma y (+ y y) (* x x)) (fma y (+ y y) (* x x)) (fma y (+ y y) (* x x)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 2.782 * * * [progress]: adding candidates to table 3.040 * * [progress]: iteration 2 / 4 3.040 * * * [progress]: picking best candidate 3.064 * * * * [pick]: Picked # 3.064 * * * [progress]: localizing error 3.071 * * * [progress]: generating rewritten candidates 3.071 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.072 * * * [progress]: generating series expansions 3.072 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.072 * [backup-simplify]: Simplify (fma 3 (* y y) (* x x)) into (fma 3 (pow y 2) (pow x 2)) 3.072 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 3.072 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 3.072 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 3.072 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.072 * [taylor]: Taking taylor expansion of 3 in x 3.072 * [backup-simplify]: Simplify 3 into 3 3.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.072 * [taylor]: Taking taylor expansion of y in x 3.072 * [backup-simplify]: Simplify y into y 3.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.072 * [taylor]: Taking taylor expansion of x in x 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 1 into 1 3.072 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 3.072 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 3.072 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.073 * [taylor]: Taking taylor expansion of 3 in y 3.073 * [backup-simplify]: Simplify 3 into 3 3.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.073 * [taylor]: Taking taylor expansion of y in y 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 1 into 1 3.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.073 * [taylor]: Taking taylor expansion of x in y 3.073 * [backup-simplify]: Simplify x into x 3.073 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 3.073 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 3.073 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.073 * [taylor]: Taking taylor expansion of 3 in y 3.073 * [backup-simplify]: Simplify 3 into 3 3.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.073 * [taylor]: Taking taylor expansion of y in y 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 1 into 1 3.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.073 * [taylor]: Taking taylor expansion of x in y 3.073 * [backup-simplify]: Simplify x into x 3.073 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.073 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.073 * [taylor]: Taking taylor expansion of x in x 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 1 into 1 3.073 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.074 * [backup-simplify]: Simplify (+ 0 0) into 0 3.074 * [taylor]: Taking taylor expansion of 0 in x 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify (* 1 1) into 1 3.074 * [backup-simplify]: Simplify (* 3 1) into 3 3.075 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.075 * [backup-simplify]: Simplify (+ 3 0) into 3 3.075 * [taylor]: Taking taylor expansion of 3 in x 3.075 * [backup-simplify]: Simplify 3 into 3 3.075 * [backup-simplify]: Simplify 3 into 3 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.076 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.076 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.077 * [backup-simplify]: Simplify (+ 0 0) into 0 3.077 * [taylor]: Taking taylor expansion of 0 in x 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.078 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.079 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.079 * [backup-simplify]: Simplify (+ 0 0) into 0 3.079 * [taylor]: Taking taylor expansion of 0 in x 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.080 * [backup-simplify]: Simplify (fma 3 (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3.080 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 3.080 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.080 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.080 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.080 * [taylor]: Taking taylor expansion of 3 in x 3.080 * [backup-simplify]: Simplify 3 into 3 3.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.080 * [taylor]: Taking taylor expansion of y in x 3.080 * [backup-simplify]: Simplify y into y 3.080 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.080 * [taylor]: Taking taylor expansion of x in x 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (* 1 1) into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.081 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.081 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.081 * [taylor]: Taking taylor expansion of 3 in y 3.081 * [backup-simplify]: Simplify 3 into 3 3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.081 * [taylor]: Taking taylor expansion of y in y 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (* 1 1) into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.081 * [taylor]: Taking taylor expansion of x in y 3.081 * [backup-simplify]: Simplify x into x 3.081 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.082 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.082 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.082 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.082 * [taylor]: Taking taylor expansion of 3 in y 3.082 * [backup-simplify]: Simplify 3 into 3 3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.082 * [taylor]: Taking taylor expansion of y in y 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.082 * [backup-simplify]: Simplify (* 1 1) into 1 3.082 * [backup-simplify]: Simplify (/ 1 1) into 1 3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.082 * [taylor]: Taking taylor expansion of x in y 3.082 * [backup-simplify]: Simplify x into x 3.082 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.083 * [backup-simplify]: Simplify (* 3 1) into 3 3.083 * [backup-simplify]: Simplify (+ 3 0) into 3 3.083 * [taylor]: Taking taylor expansion of 3 in x 3.083 * [backup-simplify]: Simplify 3 into 3 3.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.085 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.085 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [taylor]: Taking taylor expansion of 0 in x 3.085 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.088 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.088 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.088 * [taylor]: Taking taylor expansion of x in x 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.089 * [backup-simplify]: Simplify (* 1 1) into 1 3.089 * [backup-simplify]: Simplify (/ 1 1) into 1 3.089 * [backup-simplify]: Simplify 1 into 1 3.089 * [backup-simplify]: Simplify 3 into 3 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.091 * [backup-simplify]: Simplify (+ 0 0) into 0 3.091 * [taylor]: Taking taylor expansion of 0 in x 3.091 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.095 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.095 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.096 * [taylor]: Taking taylor expansion of 0 in x 3.096 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.099 * [backup-simplify]: Simplify (fma 3 (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3.099 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 3.099 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.099 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.099 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.099 * [taylor]: Taking taylor expansion of 3 in x 3.099 * [backup-simplify]: Simplify 3 into 3 3.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.099 * [taylor]: Taking taylor expansion of y in x 3.099 * [backup-simplify]: Simplify y into y 3.099 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.099 * [taylor]: Taking taylor expansion of x in x 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify (* 1 1) into 1 3.100 * [backup-simplify]: Simplify (/ 1 1) into 1 3.100 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.100 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.100 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.100 * [taylor]: Taking taylor expansion of 3 in y 3.100 * [backup-simplify]: Simplify 3 into 3 3.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.100 * [taylor]: Taking taylor expansion of y in y 3.100 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 1 into 1 3.101 * [backup-simplify]: Simplify (* 1 1) into 1 3.101 * [backup-simplify]: Simplify (/ 1 1) into 1 3.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.101 * [taylor]: Taking taylor expansion of x in y 3.101 * [backup-simplify]: Simplify x into x 3.101 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.102 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.102 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.102 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.102 * [taylor]: Taking taylor expansion of 3 in y 3.102 * [backup-simplify]: Simplify 3 into 3 3.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.102 * [taylor]: Taking taylor expansion of y in y 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [backup-simplify]: Simplify (* 1 1) into 1 3.103 * [backup-simplify]: Simplify (/ 1 1) into 1 3.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.103 * [taylor]: Taking taylor expansion of x in y 3.103 * [backup-simplify]: Simplify x into x 3.103 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.103 * [backup-simplify]: Simplify (* 3 1) into 3 3.104 * [backup-simplify]: Simplify (+ 3 0) into 3 3.104 * [taylor]: Taking taylor expansion of 3 in x 3.104 * [backup-simplify]: Simplify 3 into 3 3.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.106 * [backup-simplify]: Simplify (+ 0 0) into 0 3.106 * [taylor]: Taking taylor expansion of 0 in x 3.106 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.109 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.109 * [taylor]: Taking taylor expansion of x in x 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 1 into 1 3.110 * [backup-simplify]: Simplify (* 1 1) into 1 3.110 * [backup-simplify]: Simplify (/ 1 1) into 1 3.110 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify 3 into 3 3.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [taylor]: Taking taylor expansion of 0 in x 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.120 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.120 * [backup-simplify]: Simplify (+ 0 0) into 0 3.120 * [taylor]: Taking taylor expansion of 0 in x 3.120 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.123 * * * [progress]: simplifying candidates 3.123 * [simplify]: Simplifying: (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (* (* (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) 3.124 * * [simplify]: iteration 0: 21 enodes 3.131 * * [simplify]: iteration 1: 37 enodes 3.139 * * [simplify]: iteration 2: 118 enodes 3.189 * * [simplify]: iteration 3: 521 enodes 3.890 * * [simplify]: iteration 4: 4545 enodes 11.968 * * [simplify]: iteration complete: 5000 enodes 11.969 * * [simplify]: Extracting #0: cost 10 inf + 0 11.969 * * [simplify]: Extracting #1: cost 134 inf + 0 11.973 * * [simplify]: Extracting #2: cost 1374 inf + 2360 11.997 * * [simplify]: Extracting #3: cost 934 inf + 135165 12.057 * * [simplify]: Extracting #4: cost 26 inf + 311684 12.136 * * [simplify]: Extracting #5: cost 0 inf + 320445 12.221 * [simplify]: Simplified to: (expm1 (fma x x (* 3 (* y y)))) (log1p (fma x x (* 3 (* y y)))) (* 3 (* y y)) (log (fma x x (* 3 (* y y)))) (exp (fma x x (* 3 (* y y)))) (* (cbrt (fma x x (* 3 (* y y)))) (cbrt (fma x x (* 3 (* y y))))) (cbrt (fma x x (* 3 (* y y)))) (* (* (fma x x (* 3 (* y y))) (fma x x (* 3 (* y y)))) (fma x x (* 3 (* y y)))) (sqrt (fma x x (* 3 (* y y)))) (sqrt (fma x x (* 3 (* y y)))) (fma x x (* 3 (* y y))) (fma x x (* 3 (* y y))) (fma x x (* 3 (* y y))) 12.222 * * * [progress]: adding candidates to table 12.269 * * [progress]: iteration 3 / 4 12.269 * * * [progress]: picking best candidate 12.300 * * * * [pick]: Picked # 12.300 * * * [progress]: localizing error 12.309 * * * [progress]: generating rewritten candidates 12.309 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 12.322 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 12.323 * * * [progress]: generating series expansions 12.323 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 12.323 * [backup-simplify]: Simplify (* (* y 3) y) into (* 3 (pow y 2)) 12.323 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 12.323 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 12.323 * [taylor]: Taking taylor expansion of 3 in y 12.323 * [backup-simplify]: Simplify 3 into 3 12.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.323 * [taylor]: Taking taylor expansion of y in y 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.323 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 12.323 * [taylor]: Taking taylor expansion of 3 in y 12.323 * [backup-simplify]: Simplify 3 into 3 12.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.323 * [taylor]: Taking taylor expansion of y in y 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.324 * [backup-simplify]: Simplify (* 1 1) into 1 12.324 * [backup-simplify]: Simplify (* 3 1) into 3 12.324 * [backup-simplify]: Simplify 3 into 3 12.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.325 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 12.325 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.326 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 12.326 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.328 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.328 * [backup-simplify]: Simplify 0 into 0 12.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.330 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.330 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.332 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.332 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.334 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 12.334 * [backup-simplify]: Simplify (* (* (/ 1 y) 3) (/ 1 y)) into (/ 3 (pow y 2)) 12.334 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 12.334 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 12.334 * [taylor]: Taking taylor expansion of 3 in y 12.334 * [backup-simplify]: Simplify 3 into 3 12.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.334 * [taylor]: Taking taylor expansion of y in y 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify 1 into 1 12.334 * [backup-simplify]: Simplify (* 1 1) into 1 12.335 * [backup-simplify]: Simplify (/ 3 1) into 3 12.335 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 12.335 * [taylor]: Taking taylor expansion of 3 in y 12.335 * [backup-simplify]: Simplify 3 into 3 12.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.335 * [taylor]: Taking taylor expansion of y in y 12.335 * [backup-simplify]: Simplify 0 into 0 12.335 * [backup-simplify]: Simplify 1 into 1 12.335 * [backup-simplify]: Simplify (* 1 1) into 1 12.335 * [backup-simplify]: Simplify (/ 3 1) into 3 12.336 * [backup-simplify]: Simplify 3 into 3 12.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 12.336 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.339 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.340 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.343 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 12.343 * [backup-simplify]: Simplify (* (* (/ 1 (- y)) 3) (/ 1 (- y))) into (/ 3 (pow y 2)) 12.343 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 12.343 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 12.343 * [taylor]: Taking taylor expansion of 3 in y 12.343 * [backup-simplify]: Simplify 3 into 3 12.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.343 * [taylor]: Taking taylor expansion of y in y 12.343 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify 1 into 1 12.344 * [backup-simplify]: Simplify (* 1 1) into 1 12.344 * [backup-simplify]: Simplify (/ 3 1) into 3 12.344 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 12.344 * [taylor]: Taking taylor expansion of 3 in y 12.344 * [backup-simplify]: Simplify 3 into 3 12.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.344 * [taylor]: Taking taylor expansion of y in y 12.344 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify 1 into 1 12.344 * [backup-simplify]: Simplify (* 1 1) into 1 12.344 * [backup-simplify]: Simplify (/ 3 1) into 3 12.344 * [backup-simplify]: Simplify 3 into 3 12.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.347 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.349 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.351 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.353 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.355 * [backup-simplify]: Simplify 0 into 0 12.355 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 12.355 * * * * [progress]: [ 2 / 2 ] generating series at (2) 12.356 * [backup-simplify]: Simplify (fma x x (* (* y 3) y)) into (fma x x (* 3 (pow y 2))) 12.356 * [approximate]: Taking taylor expansion of (fma x x (* 3 (pow y 2))) in (x y) around 0 12.356 * [taylor]: Taking taylor expansion of (fma x x (* 3 (pow y 2))) in y 12.356 * [taylor]: Rewrote expression to (+ (* x x) (* 3 (pow y 2))) 12.356 * [taylor]: Taking taylor expansion of (* x x) in y 12.356 * [taylor]: Taking taylor expansion of x in y 12.356 * [backup-simplify]: Simplify x into x 12.356 * [taylor]: Taking taylor expansion of x in y 12.356 * [backup-simplify]: Simplify x into x 12.356 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 12.356 * [taylor]: Taking taylor expansion of 3 in y 12.356 * [backup-simplify]: Simplify 3 into 3 12.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.356 * [taylor]: Taking taylor expansion of y in y 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [taylor]: Taking taylor expansion of (fma x x (* 3 (pow y 2))) in x 12.356 * [taylor]: Rewrote expression to (+ (* x x) (* 3 (pow y 2))) 12.356 * [taylor]: Taking taylor expansion of (* x x) in x 12.356 * [taylor]: Taking taylor expansion of x in x 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [taylor]: Taking taylor expansion of x in x 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 12.356 * [taylor]: Taking taylor expansion of 3 in x 12.356 * [backup-simplify]: Simplify 3 into 3 12.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.357 * [taylor]: Taking taylor expansion of y in x 12.357 * [backup-simplify]: Simplify y into y 12.357 * [taylor]: Taking taylor expansion of (fma x x (* 3 (pow y 2))) in x 12.357 * [taylor]: Rewrote expression to (+ (* x x) (* 3 (pow y 2))) 12.357 * [taylor]: Taking taylor expansion of (* x x) in x 12.357 * [taylor]: Taking taylor expansion of x in x 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify 1 into 1 12.357 * [taylor]: Taking taylor expansion of x in x 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify 1 into 1 12.357 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 12.357 * [taylor]: Taking taylor expansion of 3 in x 12.357 * [backup-simplify]: Simplify 3 into 3 12.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.357 * [taylor]: Taking taylor expansion of y in x 12.357 * [backup-simplify]: Simplify y into y 12.357 * [backup-simplify]: Simplify (* 0 0) into 0 12.357 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.358 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 12.358 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 12.358 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 12.358 * [taylor]: Taking taylor expansion of 3 in y 12.358 * [backup-simplify]: Simplify 3 into 3 12.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.358 * [taylor]: Taking taylor expansion of y in y 12.358 * [backup-simplify]: Simplify 0 into 0 12.358 * [backup-simplify]: Simplify 1 into 1 12.359 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.359 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.359 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 12.359 * [backup-simplify]: Simplify (+ 0 0) into 0 12.359 * [taylor]: Taking taylor expansion of 0 in y 12.359 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.365 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.366 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 12.366 * [backup-simplify]: Simplify (+ 1 0) into 1 12.366 * [taylor]: Taking taylor expansion of 1 in y 12.366 * [backup-simplify]: Simplify 1 into 1 12.366 * [backup-simplify]: Simplify 1 into 1 12.366 * [backup-simplify]: Simplify 0 into 0 12.366 * [backup-simplify]: Simplify (* 1 1) into 1 12.367 * [backup-simplify]: Simplify (* 3 1) into 3 12.367 * [backup-simplify]: Simplify 3 into 3 12.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.369 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.370 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.370 * [backup-simplify]: Simplify (+ 0 0) into 0 12.370 * [taylor]: Taking taylor expansion of 0 in y 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.371 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 12.371 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.374 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.375 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.376 * [backup-simplify]: Simplify (+ 0 0) into 0 12.376 * [taylor]: Taking taylor expansion of 0 in y 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 12.376 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (* (/ 1 y) 3) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 3 (pow y 2))) 12.376 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 3 (pow y 2))) in (x y) around 0 12.376 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 3 (pow y 2))) in y 12.377 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 3 (pow y 2))) 12.377 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 12.377 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.377 * [taylor]: Taking taylor expansion of x in y 12.377 * [backup-simplify]: Simplify x into x 12.377 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.377 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.377 * [taylor]: Taking taylor expansion of x in y 12.377 * [backup-simplify]: Simplify x into x 12.377 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.377 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 12.377 * [taylor]: Taking taylor expansion of 3 in y 12.377 * [backup-simplify]: Simplify 3 into 3 12.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.377 * [taylor]: Taking taylor expansion of y in y 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 1 into 1 12.377 * [backup-simplify]: Simplify (* 1 1) into 1 12.378 * [backup-simplify]: Simplify (/ 3 1) into 3 12.378 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 3 (pow y 2))) in x 12.378 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 3 (pow y 2))) 12.378 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.378 * [taylor]: Taking taylor expansion of x in x 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.378 * [backup-simplify]: Simplify (/ 1 1) into 1 12.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.378 * [taylor]: Taking taylor expansion of x in x 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.379 * [backup-simplify]: Simplify (/ 1 1) into 1 12.379 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in x 12.379 * [taylor]: Taking taylor expansion of 3 in x 12.379 * [backup-simplify]: Simplify 3 into 3 12.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.379 * [taylor]: Taking taylor expansion of y in x 12.379 * [backup-simplify]: Simplify y into y 12.379 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.379 * [backup-simplify]: Simplify (/ 3 (pow y 2)) into (/ 3 (pow y 2)) 12.379 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 3 (pow y 2))) in x 12.379 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 3 (pow y 2))) 12.379 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.379 * [taylor]: Taking taylor expansion of x in x 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify 1 into 1 12.380 * [backup-simplify]: Simplify (/ 1 1) into 1 12.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.380 * [taylor]: Taking taylor expansion of x in x 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 1 into 1 12.380 * [backup-simplify]: Simplify (/ 1 1) into 1 12.380 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in x 12.380 * [taylor]: Taking taylor expansion of 3 in x 12.380 * [backup-simplify]: Simplify 3 into 3 12.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.380 * [taylor]: Taking taylor expansion of y in x 12.380 * [backup-simplify]: Simplify y into y 12.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.381 * [backup-simplify]: Simplify (/ 3 (pow y 2)) into (/ 3 (pow y 2)) 12.381 * [backup-simplify]: Simplify (* 1 1) into 1 12.381 * [backup-simplify]: Simplify (+ 1 0) into 1 12.381 * [taylor]: Taking taylor expansion of 1 in y 12.381 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.384 * [backup-simplify]: Simplify (+ 0 0) into 0 12.384 * [taylor]: Taking taylor expansion of 0 in y 12.384 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.386 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 12.386 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 12.387 * [taylor]: Taking taylor expansion of 3 in y 12.387 * [backup-simplify]: Simplify 3 into 3 12.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.387 * [taylor]: Taking taylor expansion of y in y 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [backup-simplify]: Simplify (* 1 1) into 1 12.387 * [backup-simplify]: Simplify (/ 1 1) into 1 12.388 * [backup-simplify]: Simplify (* 3 1) into 3 12.388 * [backup-simplify]: Simplify 3 into 3 12.388 * [backup-simplify]: Simplify 1 into 1 12.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.390 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.391 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))))) into 0 12.391 * [backup-simplify]: Simplify (+ 0 0) into 0 12.391 * [taylor]: Taking taylor expansion of 0 in y 12.391 * [backup-simplify]: Simplify 0 into 0 12.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.393 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.397 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.397 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.397 * [backup-simplify]: Simplify (+ 0 0) into 0 12.397 * [taylor]: Taking taylor expansion of 0 in y 12.397 * [backup-simplify]: Simplify 0 into 0 12.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.400 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 12.401 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (* (/ 1 (- y)) 3) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 3 (pow y 2))) 12.401 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 3 (pow y 2))) in (x y) around 0 12.401 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 3 (pow y 2))) in y 12.401 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 3 (pow y 2))) 12.401 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 12.401 * [taylor]: Taking taylor expansion of (/ -1 x) in y 12.401 * [taylor]: Taking taylor expansion of -1 in y 12.401 * [backup-simplify]: Simplify -1 into -1 12.401 * [taylor]: Taking taylor expansion of x in y 12.401 * [backup-simplify]: Simplify x into x 12.401 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 12.401 * [taylor]: Taking taylor expansion of (/ -1 x) in y 12.401 * [taylor]: Taking taylor expansion of -1 in y 12.401 * [backup-simplify]: Simplify -1 into -1 12.401 * [taylor]: Taking taylor expansion of x in y 12.401 * [backup-simplify]: Simplify x into x 12.401 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 12.401 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 12.401 * [taylor]: Taking taylor expansion of 3 in y 12.401 * [backup-simplify]: Simplify 3 into 3 12.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.401 * [taylor]: Taking taylor expansion of y in y 12.401 * [backup-simplify]: Simplify 0 into 0 12.401 * [backup-simplify]: Simplify 1 into 1 12.402 * [backup-simplify]: Simplify (* 1 1) into 1 12.402 * [backup-simplify]: Simplify (/ 3 1) into 3 12.402 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 3 (pow y 2))) in x 12.402 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 3 (pow y 2))) 12.402 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.402 * [taylor]: Taking taylor expansion of -1 in x 12.402 * [backup-simplify]: Simplify -1 into -1 12.402 * [taylor]: Taking taylor expansion of x in x 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 1 into 1 12.403 * [backup-simplify]: Simplify (/ -1 1) into -1 12.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.403 * [taylor]: Taking taylor expansion of -1 in x 12.403 * [backup-simplify]: Simplify -1 into -1 12.403 * [taylor]: Taking taylor expansion of x in x 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 1 into 1 12.403 * [backup-simplify]: Simplify (/ -1 1) into -1 12.404 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in x 12.404 * [taylor]: Taking taylor expansion of 3 in x 12.404 * [backup-simplify]: Simplify 3 into 3 12.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.404 * [taylor]: Taking taylor expansion of y in x 12.404 * [backup-simplify]: Simplify y into y 12.404 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.404 * [backup-simplify]: Simplify (/ 3 (pow y 2)) into (/ 3 (pow y 2)) 12.404 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 3 (pow y 2))) in x 12.404 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 3 (pow y 2))) 12.404 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.404 * [taylor]: Taking taylor expansion of -1 in x 12.404 * [backup-simplify]: Simplify -1 into -1 12.404 * [taylor]: Taking taylor expansion of x in x 12.404 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify 1 into 1 12.405 * [backup-simplify]: Simplify (/ -1 1) into -1 12.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.405 * [taylor]: Taking taylor expansion of -1 in x 12.405 * [backup-simplify]: Simplify -1 into -1 12.405 * [taylor]: Taking taylor expansion of x in x 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify 1 into 1 12.405 * [backup-simplify]: Simplify (/ -1 1) into -1 12.405 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in x 12.405 * [taylor]: Taking taylor expansion of 3 in x 12.405 * [backup-simplify]: Simplify 3 into 3 12.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.405 * [taylor]: Taking taylor expansion of y in x 12.405 * [backup-simplify]: Simplify y into y 12.405 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.405 * [backup-simplify]: Simplify (/ 3 (pow y 2)) into (/ 3 (pow y 2)) 12.406 * [backup-simplify]: Simplify (* -1 -1) into 1 12.406 * [backup-simplify]: Simplify (+ 1 0) into 1 12.406 * [taylor]: Taking taylor expansion of 1 in y 12.406 * [backup-simplify]: Simplify 1 into 1 12.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.408 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.409 * [backup-simplify]: Simplify (+ 0 0) into 0 12.409 * [taylor]: Taking taylor expansion of 0 in y 12.409 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.411 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 12.411 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 12.411 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 12.411 * [taylor]: Taking taylor expansion of 3 in y 12.411 * [backup-simplify]: Simplify 3 into 3 12.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.412 * [taylor]: Taking taylor expansion of y in y 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify 1 into 1 12.412 * [backup-simplify]: Simplify (* 1 1) into 1 12.412 * [backup-simplify]: Simplify (/ 1 1) into 1 12.413 * [backup-simplify]: Simplify (* 3 1) into 3 12.413 * [backup-simplify]: Simplify 3 into 3 12.413 * [backup-simplify]: Simplify 1 into 1 12.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 12.416 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.416 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))))) into 0 12.416 * [backup-simplify]: Simplify (+ 0 0) into 0 12.416 * [taylor]: Taking taylor expansion of 0 in y 12.416 * [backup-simplify]: Simplify 0 into 0 12.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.418 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 12.418 * [backup-simplify]: Simplify 0 into 0 12.418 * [backup-simplify]: Simplify 0 into 0 12.418 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.421 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 12.422 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.422 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.422 * [backup-simplify]: Simplify (+ 0 0) into 0 12.422 * [taylor]: Taking taylor expansion of 0 in y 12.422 * [backup-simplify]: Simplify 0 into 0 12.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.425 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 12.425 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 12.425 * * * [progress]: simplifying candidates 12.426 * [simplify]: Simplifying: (expm1 (* (* y 3) y)) (log1p (* (* y 3) y)) (* (* y 3) y) (* (* y 3) y) (+ (+ (log y) (log 3)) (log y)) (+ (log (* y 3)) (log y)) (log (* (* y 3) y)) (exp (* (* y 3) y)) (* (* (* (* y y) y) (* (* 3 3) 3)) (* (* y y) y)) (* (* (* (* y 3) (* y 3)) (* y 3)) (* (* y y) y)) (* (cbrt (* (* y 3) y)) (cbrt (* (* y 3) y))) (cbrt (* (* y 3) y)) (* (* (* (* y 3) y) (* (* y 3) y)) (* (* y 3) y)) (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)) (* (* y 3) (* (cbrt y) (cbrt y))) (* (* y 3) (sqrt y)) (* (* y 3) 1) (* 3 y) (expm1 (fma x x (* (* y 3) y))) (log1p (fma x x (* (* y 3) y))) (* x x) (log (fma x x (* (* y 3) y))) (exp (fma x x (* (* y 3) y))) (* (cbrt (fma x x (* (* y 3) y))) (cbrt (fma x x (* (* y 3) y)))) (cbrt (fma x x (* (* y 3) y))) (* (* (fma x x (* (* y 3) y)) (fma x x (* (* y 3) y))) (fma x x (* (* y 3) y))) (sqrt (fma x x (* (* y 3) y))) (sqrt (fma x x (* (* y 3) y))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) 12.427 * * [simplify]: iteration 0: 53 enodes 12.444 * * [simplify]: iteration 1: 122 enodes 12.549 * * [simplify]: iteration 2: 681 enodes 12.915 * * [simplify]: iteration complete: 5000 enodes 12.915 * * [simplify]: Extracting #0: cost 22 inf + 0 12.916 * * [simplify]: Extracting #1: cost 527 inf + 0 12.921 * * [simplify]: Extracting #2: cost 1977 inf + 5968 12.945 * * [simplify]: Extracting #3: cost 620 inf + 146889 12.995 * * [simplify]: Extracting #4: cost 16 inf + 234193 13.042 * * [simplify]: Extracting #5: cost 0 inf + 237373 13.090 * [simplify]: Simplified to: (expm1 (* (* y 3) y)) (log1p (* (* y 3) y)) (* (* y 3) y) (* (* y 3) y) (log (* (* y 3) y)) (log (* (* y 3) y)) (log (* (* y 3) y)) (exp (* (* y 3) y)) (* (* (* y 3) y) (* (* (* y 3) y) (* (* y 3) y))) (* (* (* y 3) y) (* (* (* y 3) y) (* (* y 3) y))) (* (cbrt (* (* y 3) y)) (cbrt (* (* y 3) y))) (cbrt (* (* y 3) y)) (* (* (* y 3) y) (* (* (* y 3) y) (* (* y 3) y))) (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)) (* (* (* (cbrt y) (cbrt y)) 3) y) (* y (* (sqrt y) 3)) (* y 3) (* y 3) (expm1 (fma (* y y) 3 (* x x))) (log1p (fma (* y y) 3 (* x x))) (* x x) (log (fma (* y y) 3 (* x x))) (exp (fma (* y y) 3 (* x x))) (* (cbrt (fma (* y y) 3 (* x x))) (cbrt (fma (* y y) 3 (* x x)))) (cbrt (fma (* y y) 3 (* x x))) (* (* (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x))) (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))) (* (* y 3) y) (* (* y 3) y) (* (* y 3) y) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) 13.091 * * * [progress]: adding candidates to table 13.199 * * [progress]: iteration 4 / 4 13.199 * * * [progress]: picking best candidate 13.225 * * * * [pick]: Picked # 13.225 * * * [progress]: localizing error 13.272 * * * [progress]: generating rewritten candidates 13.272 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 13.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 13.344 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 13.344 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 13.386 * * * [progress]: generating series expansions 13.386 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 13.387 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (* 2 (pow y 2)) (pow x 2))) 13.387 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in (x y) around 0 13.387 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 13.387 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 13.387 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.387 * [taylor]: Taking taylor expansion of 2 in y 13.387 * [backup-simplify]: Simplify 2 into 2 13.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.387 * [taylor]: Taking taylor expansion of y in y 13.387 * [backup-simplify]: Simplify 0 into 0 13.387 * [backup-simplify]: Simplify 1 into 1 13.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.387 * [taylor]: Taking taylor expansion of x in y 13.387 * [backup-simplify]: Simplify x into x 13.387 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.387 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 13.387 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.387 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.388 * [backup-simplify]: Simplify (+ 0 0) into 0 13.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.388 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 13.388 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 13.388 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.388 * [taylor]: Taking taylor expansion of 2 in x 13.388 * [backup-simplify]: Simplify 2 into 2 13.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.388 * [taylor]: Taking taylor expansion of y in x 13.388 * [backup-simplify]: Simplify y into y 13.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.388 * [taylor]: Taking taylor expansion of x in x 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [backup-simplify]: Simplify 1 into 1 13.389 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.389 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.389 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 13.389 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.389 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.390 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.390 * [backup-simplify]: Simplify (+ 0 0) into 0 13.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.390 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 13.390 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 13.390 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.390 * [taylor]: Taking taylor expansion of 2 in x 13.390 * [backup-simplify]: Simplify 2 into 2 13.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.390 * [taylor]: Taking taylor expansion of y in x 13.390 * [backup-simplify]: Simplify y into y 13.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.390 * [taylor]: Taking taylor expansion of x in x 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify 1 into 1 13.391 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.391 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.391 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 13.391 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.391 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.392 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.392 * [backup-simplify]: Simplify (+ 0 0) into 0 13.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.392 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 13.392 * [taylor]: Taking taylor expansion of (sqrt 2) in y 13.392 * [taylor]: Taking taylor expansion of 2 in y 13.392 * [backup-simplify]: Simplify 2 into 2 13.393 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.393 * [taylor]: Taking taylor expansion of y in y 13.393 * [backup-simplify]: Simplify 0 into 0 13.393 * [backup-simplify]: Simplify 1 into 1 13.394 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in y 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.396 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 13.396 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.397 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.398 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 13.398 * [backup-simplify]: Simplify (* 1 1) into 1 13.398 * [backup-simplify]: Simplify (+ 0 1) into 1 13.400 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 13.400 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 13.400 * [taylor]: Taking taylor expansion of 1/2 in y 13.400 * [backup-simplify]: Simplify 1/2 into 1/2 13.400 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 13.400 * [taylor]: Taking taylor expansion of (sqrt 2) in y 13.400 * [taylor]: Taking taylor expansion of 2 in y 13.400 * [backup-simplify]: Simplify 2 into 2 13.400 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.401 * [taylor]: Taking taylor expansion of y in y 13.401 * [backup-simplify]: Simplify 0 into 0 13.401 * [backup-simplify]: Simplify 1 into 1 13.401 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 13.403 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 13.404 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 13.405 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 13.406 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 13.407 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 13.407 * [backup-simplify]: Simplify 0 into 0 13.407 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 13.409 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 13.409 * [backup-simplify]: Simplify 0 into 0 13.410 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.412 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 13.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.413 * [backup-simplify]: Simplify (+ 0 0) into 0 13.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 13.414 * [taylor]: Taking taylor expansion of 0 in y 13.414 * [backup-simplify]: Simplify 0 into 0 13.414 * [backup-simplify]: Simplify 0 into 0 13.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 13.417 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.418 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 13.418 * [backup-simplify]: Simplify 0 into 0 13.418 * [backup-simplify]: Simplify 0 into 0 13.419 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 13.419 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 13.419 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 13.419 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 13.419 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 13.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.419 * [taylor]: Taking taylor expansion of 2 in y 13.419 * [backup-simplify]: Simplify 2 into 2 13.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.420 * [taylor]: Taking taylor expansion of y in y 13.420 * [backup-simplify]: Simplify 0 into 0 13.420 * [backup-simplify]: Simplify 1 into 1 13.420 * [backup-simplify]: Simplify (* 1 1) into 1 13.420 * [backup-simplify]: Simplify (/ 1 1) into 1 13.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.421 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.421 * [taylor]: Taking taylor expansion of x in y 13.421 * [backup-simplify]: Simplify x into x 13.421 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.421 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.421 * [backup-simplify]: Simplify (* 2 1) into 2 13.422 * [backup-simplify]: Simplify (+ 2 0) into 2 13.422 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.424 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.425 * [backup-simplify]: Simplify (+ 0 0) into 0 13.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.426 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.426 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.426 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.426 * [taylor]: Taking taylor expansion of 2 in x 13.426 * [backup-simplify]: Simplify 2 into 2 13.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.426 * [taylor]: Taking taylor expansion of y in x 13.426 * [backup-simplify]: Simplify y into y 13.426 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.426 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.426 * [taylor]: Taking taylor expansion of x in x 13.426 * [backup-simplify]: Simplify 0 into 0 13.426 * [backup-simplify]: Simplify 1 into 1 13.427 * [backup-simplify]: Simplify (* 1 1) into 1 13.427 * [backup-simplify]: Simplify (/ 1 1) into 1 13.428 * [backup-simplify]: Simplify (+ 0 1) into 1 13.428 * [backup-simplify]: Simplify (sqrt 1) into 1 13.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.430 * [backup-simplify]: Simplify (+ 0 0) into 0 13.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.431 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.431 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.431 * [taylor]: Taking taylor expansion of 2 in x 13.431 * [backup-simplify]: Simplify 2 into 2 13.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.431 * [taylor]: Taking taylor expansion of y in x 13.431 * [backup-simplify]: Simplify y into y 13.431 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.432 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.432 * [taylor]: Taking taylor expansion of x in x 13.432 * [backup-simplify]: Simplify 0 into 0 13.432 * [backup-simplify]: Simplify 1 into 1 13.432 * [backup-simplify]: Simplify (* 1 1) into 1 13.433 * [backup-simplify]: Simplify (/ 1 1) into 1 13.433 * [backup-simplify]: Simplify (+ 0 1) into 1 13.434 * [backup-simplify]: Simplify (sqrt 1) into 1 13.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.435 * [backup-simplify]: Simplify (+ 0 0) into 0 13.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.436 * [taylor]: Taking taylor expansion of 1 in y 13.436 * [backup-simplify]: Simplify 1 into 1 13.436 * [taylor]: Taking taylor expansion of 0 in y 13.436 * [backup-simplify]: Simplify 0 into 0 13.436 * [backup-simplify]: Simplify 1 into 1 13.436 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.438 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 13.440 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.440 * [taylor]: Taking taylor expansion of y in y 13.440 * [backup-simplify]: Simplify 0 into 0 13.440 * [backup-simplify]: Simplify 1 into 1 13.440 * [backup-simplify]: Simplify (* 1 1) into 1 13.440 * [backup-simplify]: Simplify (/ 1 1) into 1 13.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.442 * [backup-simplify]: Simplify 0 into 0 13.442 * [backup-simplify]: Simplify 0 into 0 13.442 * [backup-simplify]: Simplify 0 into 0 13.442 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.443 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.445 * [backup-simplify]: Simplify (+ 0 0) into 0 13.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.446 * [taylor]: Taking taylor expansion of 0 in y 13.446 * [backup-simplify]: Simplify 0 into 0 13.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 13.448 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 13.448 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 13.448 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 13.449 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 13.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.449 * [taylor]: Taking taylor expansion of 2 in y 13.449 * [backup-simplify]: Simplify 2 into 2 13.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.449 * [taylor]: Taking taylor expansion of y in y 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify 1 into 1 13.449 * [backup-simplify]: Simplify (* 1 1) into 1 13.450 * [backup-simplify]: Simplify (/ 1 1) into 1 13.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.450 * [taylor]: Taking taylor expansion of x in y 13.450 * [backup-simplify]: Simplify x into x 13.450 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.450 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.451 * [backup-simplify]: Simplify (* 2 1) into 2 13.451 * [backup-simplify]: Simplify (+ 2 0) into 2 13.451 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.454 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.454 * [backup-simplify]: Simplify (+ 0 0) into 0 13.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.455 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.455 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.455 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.455 * [taylor]: Taking taylor expansion of 2 in x 13.455 * [backup-simplify]: Simplify 2 into 2 13.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.455 * [taylor]: Taking taylor expansion of y in x 13.455 * [backup-simplify]: Simplify y into y 13.455 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.455 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.455 * [taylor]: Taking taylor expansion of x in x 13.456 * [backup-simplify]: Simplify 0 into 0 13.456 * [backup-simplify]: Simplify 1 into 1 13.456 * [backup-simplify]: Simplify (* 1 1) into 1 13.456 * [backup-simplify]: Simplify (/ 1 1) into 1 13.457 * [backup-simplify]: Simplify (+ 0 1) into 1 13.457 * [backup-simplify]: Simplify (sqrt 1) into 1 13.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.459 * [backup-simplify]: Simplify (+ 0 0) into 0 13.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.460 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.460 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.460 * [taylor]: Taking taylor expansion of 2 in x 13.460 * [backup-simplify]: Simplify 2 into 2 13.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.460 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.460 * [taylor]: Taking taylor expansion of y in x 13.460 * [backup-simplify]: Simplify y into y 13.460 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.460 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.460 * [taylor]: Taking taylor expansion of x in x 13.460 * [backup-simplify]: Simplify 0 into 0 13.460 * [backup-simplify]: Simplify 1 into 1 13.461 * [backup-simplify]: Simplify (* 1 1) into 1 13.461 * [backup-simplify]: Simplify (/ 1 1) into 1 13.462 * [backup-simplify]: Simplify (+ 0 1) into 1 13.462 * [backup-simplify]: Simplify (sqrt 1) into 1 13.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.464 * [backup-simplify]: Simplify (+ 0 0) into 0 13.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.465 * [taylor]: Taking taylor expansion of 1 in y 13.465 * [backup-simplify]: Simplify 1 into 1 13.465 * [taylor]: Taking taylor expansion of 0 in y 13.465 * [backup-simplify]: Simplify 0 into 0 13.465 * [backup-simplify]: Simplify 1 into 1 13.465 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.467 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 13.468 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.469 * [taylor]: Taking taylor expansion of y in y 13.469 * [backup-simplify]: Simplify 0 into 0 13.469 * [backup-simplify]: Simplify 1 into 1 13.469 * [backup-simplify]: Simplify (* 1 1) into 1 13.470 * [backup-simplify]: Simplify (/ 1 1) into 1 13.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.472 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.476 * [backup-simplify]: Simplify (+ 0 0) into 0 13.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.477 * [taylor]: Taking taylor expansion of 0 in y 13.477 * [backup-simplify]: Simplify 0 into 0 13.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.478 * [backup-simplify]: Simplify 0 into 0 13.478 * [backup-simplify]: Simplify 0 into 0 13.478 * [backup-simplify]: Simplify 0 into 0 13.478 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 13.479 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 13.479 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (* 2 (pow y 2)) (pow x 2))) 13.479 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in (x y) around 0 13.479 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 13.479 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 13.479 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.479 * [taylor]: Taking taylor expansion of 2 in y 13.479 * [backup-simplify]: Simplify 2 into 2 13.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.479 * [taylor]: Taking taylor expansion of y in y 13.479 * [backup-simplify]: Simplify 0 into 0 13.479 * [backup-simplify]: Simplify 1 into 1 13.479 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.479 * [taylor]: Taking taylor expansion of x in y 13.479 * [backup-simplify]: Simplify x into x 13.479 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.479 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 13.479 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.479 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.479 * [backup-simplify]: Simplify (+ 0 0) into 0 13.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.480 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 13.480 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 13.480 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.480 * [taylor]: Taking taylor expansion of 2 in x 13.480 * [backup-simplify]: Simplify 2 into 2 13.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.480 * [taylor]: Taking taylor expansion of y in x 13.480 * [backup-simplify]: Simplify y into y 13.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.480 * [taylor]: Taking taylor expansion of x in x 13.480 * [backup-simplify]: Simplify 0 into 0 13.480 * [backup-simplify]: Simplify 1 into 1 13.480 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.480 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.480 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 13.480 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.480 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.481 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.481 * [backup-simplify]: Simplify (+ 0 0) into 0 13.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.481 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 13.481 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 13.481 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.481 * [taylor]: Taking taylor expansion of 2 in x 13.481 * [backup-simplify]: Simplify 2 into 2 13.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.481 * [taylor]: Taking taylor expansion of y in x 13.481 * [backup-simplify]: Simplify y into y 13.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.481 * [taylor]: Taking taylor expansion of x in x 13.481 * [backup-simplify]: Simplify 0 into 0 13.481 * [backup-simplify]: Simplify 1 into 1 13.481 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.481 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.481 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 13.481 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.482 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.482 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.482 * [backup-simplify]: Simplify (+ 0 0) into 0 13.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.482 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 13.482 * [taylor]: Taking taylor expansion of (sqrt 2) in y 13.482 * [taylor]: Taking taylor expansion of 2 in y 13.482 * [backup-simplify]: Simplify 2 into 2 13.483 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.483 * [taylor]: Taking taylor expansion of y in y 13.483 * [backup-simplify]: Simplify 0 into 0 13.483 * [backup-simplify]: Simplify 1 into 1 13.483 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 13.483 * [backup-simplify]: Simplify 0 into 0 13.483 * [taylor]: Taking taylor expansion of 0 in y 13.483 * [backup-simplify]: Simplify 0 into 0 13.483 * [backup-simplify]: Simplify 0 into 0 13.485 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 13.485 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.485 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 13.486 * [backup-simplify]: Simplify (* 1 1) into 1 13.486 * [backup-simplify]: Simplify (+ 0 1) into 1 13.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 13.487 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 13.487 * [taylor]: Taking taylor expansion of 1/2 in y 13.487 * [backup-simplify]: Simplify 1/2 into 1/2 13.487 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 13.487 * [taylor]: Taking taylor expansion of (sqrt 2) in y 13.487 * [taylor]: Taking taylor expansion of 2 in y 13.487 * [backup-simplify]: Simplify 2 into 2 13.487 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.488 * [taylor]: Taking taylor expansion of y in y 13.488 * [backup-simplify]: Simplify 0 into 0 13.488 * [backup-simplify]: Simplify 1 into 1 13.488 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 13.490 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 13.490 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 13.491 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 13.492 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 13.492 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 13.492 * [backup-simplify]: Simplify 0 into 0 13.492 * [backup-simplify]: Simplify 0 into 0 13.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 13.494 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 13.494 * [backup-simplify]: Simplify 0 into 0 13.494 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.495 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 13.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.496 * [backup-simplify]: Simplify (+ 0 0) into 0 13.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 13.496 * [taylor]: Taking taylor expansion of 0 in y 13.496 * [backup-simplify]: Simplify 0 into 0 13.496 * [backup-simplify]: Simplify 0 into 0 13.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 13.498 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.499 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 13.499 * [backup-simplify]: Simplify 0 into 0 13.499 * [backup-simplify]: Simplify 0 into 0 13.500 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 13.500 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 13.500 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 13.500 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 13.500 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 13.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.500 * [taylor]: Taking taylor expansion of 2 in y 13.500 * [backup-simplify]: Simplify 2 into 2 13.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.500 * [taylor]: Taking taylor expansion of y in y 13.500 * [backup-simplify]: Simplify 0 into 0 13.500 * [backup-simplify]: Simplify 1 into 1 13.500 * [backup-simplify]: Simplify (* 1 1) into 1 13.501 * [backup-simplify]: Simplify (/ 1 1) into 1 13.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.501 * [taylor]: Taking taylor expansion of x in y 13.501 * [backup-simplify]: Simplify x into x 13.501 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.501 * [backup-simplify]: Simplify (* 2 1) into 2 13.501 * [backup-simplify]: Simplify (+ 2 0) into 2 13.502 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.503 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.503 * [backup-simplify]: Simplify (+ 0 0) into 0 13.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.504 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.504 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.504 * [taylor]: Taking taylor expansion of 2 in x 13.504 * [backup-simplify]: Simplify 2 into 2 13.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.504 * [taylor]: Taking taylor expansion of y in x 13.504 * [backup-simplify]: Simplify y into y 13.504 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.504 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.504 * [taylor]: Taking taylor expansion of x in x 13.504 * [backup-simplify]: Simplify 0 into 0 13.504 * [backup-simplify]: Simplify 1 into 1 13.504 * [backup-simplify]: Simplify (* 1 1) into 1 13.505 * [backup-simplify]: Simplify (/ 1 1) into 1 13.505 * [backup-simplify]: Simplify (+ 0 1) into 1 13.505 * [backup-simplify]: Simplify (sqrt 1) into 1 13.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.506 * [backup-simplify]: Simplify (+ 0 0) into 0 13.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.507 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.507 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.507 * [taylor]: Taking taylor expansion of 2 in x 13.507 * [backup-simplify]: Simplify 2 into 2 13.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.507 * [taylor]: Taking taylor expansion of y in x 13.507 * [backup-simplify]: Simplify y into y 13.507 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.507 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.507 * [taylor]: Taking taylor expansion of x in x 13.507 * [backup-simplify]: Simplify 0 into 0 13.507 * [backup-simplify]: Simplify 1 into 1 13.507 * [backup-simplify]: Simplify (* 1 1) into 1 13.507 * [backup-simplify]: Simplify (/ 1 1) into 1 13.508 * [backup-simplify]: Simplify (+ 0 1) into 1 13.508 * [backup-simplify]: Simplify (sqrt 1) into 1 13.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.509 * [backup-simplify]: Simplify (+ 0 0) into 0 13.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.510 * [taylor]: Taking taylor expansion of 1 in y 13.510 * [backup-simplify]: Simplify 1 into 1 13.510 * [taylor]: Taking taylor expansion of 0 in y 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 1 into 1 13.510 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.511 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 13.512 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.512 * [taylor]: Taking taylor expansion of y in y 13.512 * [backup-simplify]: Simplify 0 into 0 13.512 * [backup-simplify]: Simplify 1 into 1 13.512 * [backup-simplify]: Simplify (* 1 1) into 1 13.513 * [backup-simplify]: Simplify (/ 1 1) into 1 13.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.513 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.514 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.516 * [backup-simplify]: Simplify (+ 0 0) into 0 13.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.516 * [taylor]: Taking taylor expansion of 0 in y 13.516 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.517 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 13.518 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 13.518 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 13.518 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 13.518 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 13.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.518 * [taylor]: Taking taylor expansion of 2 in y 13.518 * [backup-simplify]: Simplify 2 into 2 13.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.518 * [taylor]: Taking taylor expansion of y in y 13.518 * [backup-simplify]: Simplify 0 into 0 13.518 * [backup-simplify]: Simplify 1 into 1 13.518 * [backup-simplify]: Simplify (* 1 1) into 1 13.519 * [backup-simplify]: Simplify (/ 1 1) into 1 13.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.519 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.519 * [taylor]: Taking taylor expansion of x in y 13.519 * [backup-simplify]: Simplify x into x 13.519 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.519 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.520 * [backup-simplify]: Simplify (* 2 1) into 2 13.520 * [backup-simplify]: Simplify (+ 2 0) into 2 13.520 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.522 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.523 * [backup-simplify]: Simplify (+ 0 0) into 0 13.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.523 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.523 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.523 * [taylor]: Taking taylor expansion of 2 in x 13.523 * [backup-simplify]: Simplify 2 into 2 13.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.524 * [taylor]: Taking taylor expansion of y in x 13.524 * [backup-simplify]: Simplify y into y 13.524 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.524 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.524 * [taylor]: Taking taylor expansion of x in x 13.524 * [backup-simplify]: Simplify 0 into 0 13.524 * [backup-simplify]: Simplify 1 into 1 13.524 * [backup-simplify]: Simplify (* 1 1) into 1 13.525 * [backup-simplify]: Simplify (/ 1 1) into 1 13.525 * [backup-simplify]: Simplify (+ 0 1) into 1 13.526 * [backup-simplify]: Simplify (sqrt 1) into 1 13.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.527 * [backup-simplify]: Simplify (+ 0 0) into 0 13.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.528 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.528 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.528 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.528 * [taylor]: Taking taylor expansion of 2 in x 13.528 * [backup-simplify]: Simplify 2 into 2 13.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.528 * [taylor]: Taking taylor expansion of y in x 13.528 * [backup-simplify]: Simplify y into y 13.528 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.528 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.528 * [taylor]: Taking taylor expansion of x in x 13.528 * [backup-simplify]: Simplify 0 into 0 13.529 * [backup-simplify]: Simplify 1 into 1 13.529 * [backup-simplify]: Simplify (* 1 1) into 1 13.529 * [backup-simplify]: Simplify (/ 1 1) into 1 13.529 * [backup-simplify]: Simplify (+ 0 1) into 1 13.530 * [backup-simplify]: Simplify (sqrt 1) into 1 13.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.531 * [backup-simplify]: Simplify (+ 0 0) into 0 13.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.531 * [taylor]: Taking taylor expansion of 1 in y 13.531 * [backup-simplify]: Simplify 1 into 1 13.531 * [taylor]: Taking taylor expansion of 0 in y 13.531 * [backup-simplify]: Simplify 0 into 0 13.531 * [backup-simplify]: Simplify 1 into 1 13.532 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.533 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 13.534 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.534 * [taylor]: Taking taylor expansion of y in y 13.534 * [backup-simplify]: Simplify 0 into 0 13.534 * [backup-simplify]: Simplify 1 into 1 13.534 * [backup-simplify]: Simplify (* 1 1) into 1 13.535 * [backup-simplify]: Simplify (/ 1 1) into 1 13.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.536 * [backup-simplify]: Simplify 0 into 0 13.536 * [backup-simplify]: Simplify 0 into 0 13.536 * [backup-simplify]: Simplify 0 into 0 13.536 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.537 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.539 * [backup-simplify]: Simplify (+ 0 0) into 0 13.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.540 * [taylor]: Taking taylor expansion of 0 in y 13.540 * [backup-simplify]: Simplify 0 into 0 13.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.542 * [backup-simplify]: Simplify 0 into 0 13.542 * [backup-simplify]: Simplify 0 into 0 13.542 * [backup-simplify]: Simplify 0 into 0 13.542 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 13.542 * * * * [progress]: [ 3 / 4 ] generating series at (2) 13.542 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) into (fma (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (pow y 2)) 13.542 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (pow y 2)) in (x y) around 0 13.542 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (pow y 2)) in y 13.542 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) (pow y 2)) 13.542 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) in y 13.542 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 13.542 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 13.542 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.542 * [taylor]: Taking taylor expansion of 2 in y 13.542 * [backup-simplify]: Simplify 2 into 2 13.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.542 * [taylor]: Taking taylor expansion of y in y 13.543 * [backup-simplify]: Simplify 0 into 0 13.543 * [backup-simplify]: Simplify 1 into 1 13.543 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.543 * [taylor]: Taking taylor expansion of x in y 13.543 * [backup-simplify]: Simplify x into x 13.543 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.543 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 13.543 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.543 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.543 * [backup-simplify]: Simplify (+ 0 0) into 0 13.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.543 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 13.543 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 13.543 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.543 * [taylor]: Taking taylor expansion of 2 in y 13.543 * [backup-simplify]: Simplify 2 into 2 13.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.543 * [taylor]: Taking taylor expansion of y in y 13.543 * [backup-simplify]: Simplify 0 into 0 13.543 * [backup-simplify]: Simplify 1 into 1 13.543 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.543 * [taylor]: Taking taylor expansion of x in y 13.543 * [backup-simplify]: Simplify x into x 13.543 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.544 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 13.544 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.544 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.544 * [backup-simplify]: Simplify (+ 0 0) into 0 13.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.544 * [taylor]: Taking taylor expansion of y in y 13.544 * [backup-simplify]: Simplify 0 into 0 13.544 * [backup-simplify]: Simplify 1 into 1 13.544 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (pow y 2)) in x 13.544 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) (pow y 2)) 13.544 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) in x 13.544 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 13.544 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 13.544 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.544 * [taylor]: Taking taylor expansion of 2 in x 13.544 * [backup-simplify]: Simplify 2 into 2 13.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.544 * [taylor]: Taking taylor expansion of y in x 13.544 * [backup-simplify]: Simplify y into y 13.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.544 * [taylor]: Taking taylor expansion of x in x 13.544 * [backup-simplify]: Simplify 0 into 0 13.544 * [backup-simplify]: Simplify 1 into 1 13.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.545 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.545 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 13.545 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.545 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.545 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.545 * [backup-simplify]: Simplify (+ 0 0) into 0 13.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.546 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 13.546 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 13.546 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.546 * [taylor]: Taking taylor expansion of 2 in x 13.546 * [backup-simplify]: Simplify 2 into 2 13.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.546 * [taylor]: Taking taylor expansion of y in x 13.546 * [backup-simplify]: Simplify y into y 13.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.546 * [taylor]: Taking taylor expansion of x in x 13.546 * [backup-simplify]: Simplify 0 into 0 13.546 * [backup-simplify]: Simplify 1 into 1 13.546 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.546 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.546 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 13.546 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.546 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.547 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.547 * [backup-simplify]: Simplify (+ 0 0) into 0 13.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.547 * [taylor]: Taking taylor expansion of y in x 13.547 * [backup-simplify]: Simplify y into y 13.547 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (pow y 2)) in x 13.547 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) (pow y 2)) 13.547 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (pow y 2)) (pow x 2))) (sqrt (+ (* 2 (pow y 2)) (pow x 2)))) in x 13.547 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 13.547 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 13.547 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.547 * [taylor]: Taking taylor expansion of 2 in x 13.547 * [backup-simplify]: Simplify 2 into 2 13.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.547 * [taylor]: Taking taylor expansion of y in x 13.547 * [backup-simplify]: Simplify y into y 13.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.547 * [taylor]: Taking taylor expansion of x in x 13.547 * [backup-simplify]: Simplify 0 into 0 13.547 * [backup-simplify]: Simplify 1 into 1 13.547 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.547 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.548 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 13.548 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.548 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.548 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.548 * [backup-simplify]: Simplify (+ 0 0) into 0 13.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.548 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 13.548 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 13.548 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.548 * [taylor]: Taking taylor expansion of 2 in x 13.548 * [backup-simplify]: Simplify 2 into 2 13.548 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.549 * [taylor]: Taking taylor expansion of y in x 13.549 * [backup-simplify]: Simplify y into y 13.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.549 * [taylor]: Taking taylor expansion of x in x 13.549 * [backup-simplify]: Simplify 0 into 0 13.549 * [backup-simplify]: Simplify 1 into 1 13.549 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.549 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.549 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 13.549 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.549 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.549 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.550 * [backup-simplify]: Simplify (+ 0 0) into 0 13.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.550 * [taylor]: Taking taylor expansion of y in x 13.550 * [backup-simplify]: Simplify y into y 13.550 * [backup-simplify]: Simplify (* (* (sqrt 2) y) (* (sqrt 2) y)) into (* (pow (sqrt 2) 2) (pow y 2)) 13.550 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.551 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) (pow y 2)) (pow y 2)) into (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) 13.551 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 13.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.551 * [taylor]: Taking taylor expansion of y in y 13.551 * [backup-simplify]: Simplify 0 into 0 13.551 * [backup-simplify]: Simplify 1 into 1 13.551 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 13.551 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 13.551 * [taylor]: Taking taylor expansion of (sqrt 2) in y 13.551 * [taylor]: Taking taylor expansion of 2 in y 13.551 * [backup-simplify]: Simplify 2 into 2 13.551 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.552 * [taylor]: Taking taylor expansion of y in y 13.552 * [backup-simplify]: Simplify 0 into 0 13.552 * [backup-simplify]: Simplify 1 into 1 13.553 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) 0) (* 0 (* (sqrt 2) y))) into 0 13.553 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.553 * [backup-simplify]: Simplify (+ 0 0) into 0 13.553 * [taylor]: Taking taylor expansion of 0 in y 13.553 * [backup-simplify]: Simplify 0 into 0 13.553 * [backup-simplify]: Simplify 0 into 0 13.553 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.554 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 13.554 * [backup-simplify]: Simplify (* 1 1) into 1 13.554 * [backup-simplify]: Simplify (+ 0 1) into 1 13.555 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 13.555 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 13.556 * [backup-simplify]: Simplify (* 1 1) into 1 13.556 * [backup-simplify]: Simplify (+ 0 1) into 1 13.557 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 13.558 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) (/ 1/2 (* (sqrt 2) y))) (+ (* 0 0) (* (/ 1/2 (* (sqrt 2) y)) (* (sqrt 2) y)))) into 1 13.558 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.559 * [backup-simplify]: Simplify (+ 1 0) into 1 13.559 * [taylor]: Taking taylor expansion of 1 in y 13.559 * [backup-simplify]: Simplify 1 into 1 13.559 * [backup-simplify]: Simplify 1 into 1 13.559 * [backup-simplify]: Simplify 0 into 0 13.559 * [backup-simplify]: Simplify (* 1 1) into 1 13.560 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 13.560 * [backup-simplify]: Simplify (* 1 1) into 1 13.561 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) 1) into (pow (sqrt 2) 2) 13.562 * [backup-simplify]: Simplify (+ 1 (pow (sqrt 2) 2)) into (+ (pow (sqrt 2) 2) 1) 13.563 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 13.563 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 13.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.565 * [backup-simplify]: Simplify (+ 0 0) into 0 13.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 13.566 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.567 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 13.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.567 * [backup-simplify]: Simplify (+ 0 0) into 0 13.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 13.569 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) 0) (+ (* 0 (/ 1/2 (* (sqrt 2) y))) (+ (* (/ 1/2 (* (sqrt 2) y)) 0) (* 0 (* (sqrt 2) y))))) into 0 13.569 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.570 * [backup-simplify]: Simplify (+ 0 0) into 0 13.570 * [taylor]: Taking taylor expansion of 0 in y 13.570 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.571 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 13.571 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 1)) into 0 13.572 * [backup-simplify]: Simplify (+ 0 0) into 0 13.572 * [backup-simplify]: Simplify 0 into 0 13.573 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 13.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 13.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.575 * [backup-simplify]: Simplify (+ 0 0) into 0 13.579 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (sqrt 2) y)) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) y))) into (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) 13.580 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 13.582 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 13.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.583 * [backup-simplify]: Simplify (+ 0 0) into 0 13.584 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (sqrt 2) y)) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) y))) into (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) 13.589 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3)))) (+ (* 0 0) (+ (* (/ 1/2 (* (sqrt 2) y)) (/ 1/2 (* (sqrt 2) y))) (+ (* 0 0) (* (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) (* (sqrt 2) y)))))) into 0 13.590 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 13.591 * [backup-simplify]: Simplify (+ 0 0) into 0 13.591 * [taylor]: Taking taylor expansion of 0 in y 13.591 * [backup-simplify]: Simplify 0 into 0 13.591 * [backup-simplify]: Simplify 0 into 0 13.591 * [backup-simplify]: Simplify 0 into 0 13.593 * [backup-simplify]: Simplify (+ (* (+ (pow (sqrt 2) 2) 1) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (+ (pow x 2) (* (pow (sqrt 2) 2) (pow y 2)))) 13.594 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (* (/ 1 y) (/ 1 y))) into (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) 13.594 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in (x y) around 0 13.594 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in y 13.594 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 13.594 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in y 13.594 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 13.594 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 13.594 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.594 * [taylor]: Taking taylor expansion of 2 in y 13.594 * [backup-simplify]: Simplify 2 into 2 13.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.594 * [taylor]: Taking taylor expansion of y in y 13.594 * [backup-simplify]: Simplify 0 into 0 13.594 * [backup-simplify]: Simplify 1 into 1 13.595 * [backup-simplify]: Simplify (* 1 1) into 1 13.595 * [backup-simplify]: Simplify (/ 1 1) into 1 13.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.595 * [taylor]: Taking taylor expansion of x in y 13.595 * [backup-simplify]: Simplify x into x 13.595 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.595 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.596 * [backup-simplify]: Simplify (* 2 1) into 2 13.596 * [backup-simplify]: Simplify (+ 2 0) into 2 13.596 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.598 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.599 * [backup-simplify]: Simplify (+ 0 0) into 0 13.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.599 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 13.600 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 13.600 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.600 * [taylor]: Taking taylor expansion of 2 in y 13.600 * [backup-simplify]: Simplify 2 into 2 13.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.600 * [taylor]: Taking taylor expansion of y in y 13.600 * [backup-simplify]: Simplify 0 into 0 13.600 * [backup-simplify]: Simplify 1 into 1 13.600 * [backup-simplify]: Simplify (* 1 1) into 1 13.600 * [backup-simplify]: Simplify (/ 1 1) into 1 13.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.601 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.601 * [taylor]: Taking taylor expansion of x in y 13.601 * [backup-simplify]: Simplify x into x 13.601 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.601 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.601 * [backup-simplify]: Simplify (* 2 1) into 2 13.602 * [backup-simplify]: Simplify (+ 2 0) into 2 13.602 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.604 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.605 * [backup-simplify]: Simplify (+ 0 0) into 0 13.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.605 * [taylor]: Taking taylor expansion of y in y 13.605 * [backup-simplify]: Simplify 0 into 0 13.605 * [backup-simplify]: Simplify 1 into 1 13.606 * [backup-simplify]: Simplify (* 1 1) into 1 13.606 * [backup-simplify]: Simplify (/ 1 1) into 1 13.606 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in x 13.606 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 13.606 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in x 13.607 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.607 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.607 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.607 * [taylor]: Taking taylor expansion of 2 in x 13.607 * [backup-simplify]: Simplify 2 into 2 13.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.607 * [taylor]: Taking taylor expansion of y in x 13.607 * [backup-simplify]: Simplify y into y 13.607 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.607 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.607 * [taylor]: Taking taylor expansion of x in x 13.607 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify 1 into 1 13.607 * [backup-simplify]: Simplify (* 1 1) into 1 13.608 * [backup-simplify]: Simplify (/ 1 1) into 1 13.608 * [backup-simplify]: Simplify (+ 0 1) into 1 13.609 * [backup-simplify]: Simplify (sqrt 1) into 1 13.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.610 * [backup-simplify]: Simplify (+ 0 0) into 0 13.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.611 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.611 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.611 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.611 * [taylor]: Taking taylor expansion of 2 in x 13.611 * [backup-simplify]: Simplify 2 into 2 13.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.611 * [taylor]: Taking taylor expansion of y in x 13.611 * [backup-simplify]: Simplify y into y 13.611 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.611 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.611 * [taylor]: Taking taylor expansion of x in x 13.611 * [backup-simplify]: Simplify 0 into 0 13.611 * [backup-simplify]: Simplify 1 into 1 13.612 * [backup-simplify]: Simplify (* 1 1) into 1 13.612 * [backup-simplify]: Simplify (/ 1 1) into 1 13.613 * [backup-simplify]: Simplify (+ 0 1) into 1 13.613 * [backup-simplify]: Simplify (sqrt 1) into 1 13.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.615 * [backup-simplify]: Simplify (+ 0 0) into 0 13.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.615 * [taylor]: Taking taylor expansion of y in x 13.615 * [backup-simplify]: Simplify y into y 13.615 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.616 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.616 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in x 13.616 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 13.616 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in x 13.616 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.616 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.616 * [taylor]: Taking taylor expansion of 2 in x 13.616 * [backup-simplify]: Simplify 2 into 2 13.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.616 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.616 * [taylor]: Taking taylor expansion of y in x 13.616 * [backup-simplify]: Simplify y into y 13.616 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.616 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.616 * [taylor]: Taking taylor expansion of x in x 13.616 * [backup-simplify]: Simplify 0 into 0 13.616 * [backup-simplify]: Simplify 1 into 1 13.617 * [backup-simplify]: Simplify (* 1 1) into 1 13.617 * [backup-simplify]: Simplify (/ 1 1) into 1 13.617 * [backup-simplify]: Simplify (+ 0 1) into 1 13.617 * [backup-simplify]: Simplify (sqrt 1) into 1 13.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.618 * [backup-simplify]: Simplify (+ 0 0) into 0 13.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.619 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.619 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.619 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.619 * [taylor]: Taking taylor expansion of 2 in x 13.619 * [backup-simplify]: Simplify 2 into 2 13.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.619 * [taylor]: Taking taylor expansion of y in x 13.619 * [backup-simplify]: Simplify y into y 13.619 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.619 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.619 * [taylor]: Taking taylor expansion of x in x 13.619 * [backup-simplify]: Simplify 0 into 0 13.619 * [backup-simplify]: Simplify 1 into 1 13.619 * [backup-simplify]: Simplify (* 1 1) into 1 13.620 * [backup-simplify]: Simplify (/ 1 1) into 1 13.620 * [backup-simplify]: Simplify (+ 0 1) into 1 13.620 * [backup-simplify]: Simplify (sqrt 1) into 1 13.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.621 * [backup-simplify]: Simplify (+ 0 0) into 0 13.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.622 * [taylor]: Taking taylor expansion of y in x 13.622 * [backup-simplify]: Simplify y into y 13.622 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.622 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.622 * [backup-simplify]: Simplify (* 1 1) into 1 13.622 * [backup-simplify]: Simplify (+ 1 0) into 1 13.622 * [taylor]: Taking taylor expansion of 1 in y 13.622 * [backup-simplify]: Simplify 1 into 1 13.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.623 * [backup-simplify]: Simplify (+ 0 0) into 0 13.623 * [taylor]: Taking taylor expansion of 0 in y 13.623 * [backup-simplify]: Simplify 0 into 0 13.623 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.624 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 13.625 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.625 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.626 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 13.627 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.628 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 13.628 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 13.628 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 13.628 * [taylor]: Taking taylor expansion of 3 in y 13.628 * [backup-simplify]: Simplify 3 into 3 13.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.628 * [taylor]: Taking taylor expansion of y in y 13.628 * [backup-simplify]: Simplify 0 into 0 13.628 * [backup-simplify]: Simplify 1 into 1 13.629 * [backup-simplify]: Simplify (* 1 1) into 1 13.629 * [backup-simplify]: Simplify (/ 1 1) into 1 13.629 * [backup-simplify]: Simplify (* 3 1) into 3 13.629 * [backup-simplify]: Simplify 3 into 3 13.629 * [backup-simplify]: Simplify 1 into 1 13.629 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.630 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.631 * [backup-simplify]: Simplify (+ 0 0) into 0 13.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.632 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.632 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.634 * [backup-simplify]: Simplify (+ 0 0) into 0 13.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 13.636 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.636 * [backup-simplify]: Simplify (+ 0 0) into 0 13.636 * [taylor]: Taking taylor expansion of 0 in y 13.636 * [backup-simplify]: Simplify 0 into 0 13.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.638 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 13.638 * [backup-simplify]: Simplify 0 into 0 13.639 * [backup-simplify]: Simplify 0 into 0 13.639 * [backup-simplify]: Simplify 0 into 0 13.639 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.640 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.643 * [backup-simplify]: Simplify (+ 0 0) into 0 13.644 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 13.645 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.646 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.649 * [backup-simplify]: Simplify (+ 0 0) into 0 13.651 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 13.652 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* (/ -1/2 (pow y 4)) 1))))) into 0 13.653 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.653 * [backup-simplify]: Simplify (+ 0 0) into 0 13.653 * [taylor]: Taking taylor expansion of 0 in y 13.654 * [backup-simplify]: Simplify 0 into 0 13.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.656 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 13.656 * [backup-simplify]: Simplify 0 into 0 13.656 * [backup-simplify]: Simplify 0 into 0 13.657 * [backup-simplify]: Simplify 0 into 0 13.657 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 13.658 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) 13.658 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in (x y) around 0 13.658 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in y 13.658 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 13.658 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in y 13.658 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 13.658 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 13.658 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.658 * [taylor]: Taking taylor expansion of 2 in y 13.658 * [backup-simplify]: Simplify 2 into 2 13.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.658 * [taylor]: Taking taylor expansion of y in y 13.658 * [backup-simplify]: Simplify 0 into 0 13.658 * [backup-simplify]: Simplify 1 into 1 13.658 * [backup-simplify]: Simplify (* 1 1) into 1 13.659 * [backup-simplify]: Simplify (/ 1 1) into 1 13.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.659 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.659 * [taylor]: Taking taylor expansion of x in y 13.659 * [backup-simplify]: Simplify x into x 13.659 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.659 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.659 * [backup-simplify]: Simplify (* 2 1) into 2 13.659 * [backup-simplify]: Simplify (+ 2 0) into 2 13.660 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.661 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.661 * [backup-simplify]: Simplify (+ 0 0) into 0 13.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.662 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 13.662 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 13.662 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.662 * [taylor]: Taking taylor expansion of 2 in y 13.662 * [backup-simplify]: Simplify 2 into 2 13.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.662 * [taylor]: Taking taylor expansion of y in y 13.662 * [backup-simplify]: Simplify 0 into 0 13.662 * [backup-simplify]: Simplify 1 into 1 13.662 * [backup-simplify]: Simplify (* 1 1) into 1 13.662 * [backup-simplify]: Simplify (/ 1 1) into 1 13.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.662 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.662 * [taylor]: Taking taylor expansion of x in y 13.662 * [backup-simplify]: Simplify x into x 13.662 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.662 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.663 * [backup-simplify]: Simplify (* 2 1) into 2 13.663 * [backup-simplify]: Simplify (+ 2 0) into 2 13.663 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.664 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.665 * [backup-simplify]: Simplify (+ 0 0) into 0 13.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.665 * [taylor]: Taking taylor expansion of y in y 13.665 * [backup-simplify]: Simplify 0 into 0 13.665 * [backup-simplify]: Simplify 1 into 1 13.665 * [backup-simplify]: Simplify (* 1 1) into 1 13.666 * [backup-simplify]: Simplify (/ 1 1) into 1 13.666 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in x 13.666 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 13.666 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in x 13.666 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.666 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.666 * [taylor]: Taking taylor expansion of 2 in x 13.666 * [backup-simplify]: Simplify 2 into 2 13.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.666 * [taylor]: Taking taylor expansion of y in x 13.666 * [backup-simplify]: Simplify y into y 13.666 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.666 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.666 * [taylor]: Taking taylor expansion of x in x 13.666 * [backup-simplify]: Simplify 0 into 0 13.666 * [backup-simplify]: Simplify 1 into 1 13.666 * [backup-simplify]: Simplify (* 1 1) into 1 13.667 * [backup-simplify]: Simplify (/ 1 1) into 1 13.667 * [backup-simplify]: Simplify (+ 0 1) into 1 13.667 * [backup-simplify]: Simplify (sqrt 1) into 1 13.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.668 * [backup-simplify]: Simplify (+ 0 0) into 0 13.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.669 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.669 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.669 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.669 * [taylor]: Taking taylor expansion of 2 in x 13.669 * [backup-simplify]: Simplify 2 into 2 13.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.669 * [taylor]: Taking taylor expansion of y in x 13.669 * [backup-simplify]: Simplify y into y 13.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.669 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.669 * [taylor]: Taking taylor expansion of x in x 13.669 * [backup-simplify]: Simplify 0 into 0 13.669 * [backup-simplify]: Simplify 1 into 1 13.669 * [backup-simplify]: Simplify (* 1 1) into 1 13.669 * [backup-simplify]: Simplify (/ 1 1) into 1 13.670 * [backup-simplify]: Simplify (+ 0 1) into 1 13.670 * [backup-simplify]: Simplify (sqrt 1) into 1 13.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.671 * [backup-simplify]: Simplify (+ 0 0) into 0 13.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.671 * [taylor]: Taking taylor expansion of y in x 13.671 * [backup-simplify]: Simplify y into y 13.671 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.672 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.672 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (/ 1 (pow y 2))) in x 13.672 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) (/ 1 (pow y 2))) 13.672 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))))) in x 13.672 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.672 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.672 * [taylor]: Taking taylor expansion of 2 in x 13.672 * [backup-simplify]: Simplify 2 into 2 13.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.672 * [taylor]: Taking taylor expansion of y in x 13.672 * [backup-simplify]: Simplify y into y 13.672 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.672 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.672 * [taylor]: Taking taylor expansion of x in x 13.672 * [backup-simplify]: Simplify 0 into 0 13.672 * [backup-simplify]: Simplify 1 into 1 13.672 * [backup-simplify]: Simplify (* 1 1) into 1 13.672 * [backup-simplify]: Simplify (/ 1 1) into 1 13.673 * [backup-simplify]: Simplify (+ 0 1) into 1 13.673 * [backup-simplify]: Simplify (sqrt 1) into 1 13.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.674 * [backup-simplify]: Simplify (+ 0 0) into 0 13.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.674 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 13.674 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.675 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.675 * [taylor]: Taking taylor expansion of 2 in x 13.675 * [backup-simplify]: Simplify 2 into 2 13.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.675 * [taylor]: Taking taylor expansion of y in x 13.675 * [backup-simplify]: Simplify y into y 13.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.675 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.675 * [taylor]: Taking taylor expansion of x in x 13.675 * [backup-simplify]: Simplify 0 into 0 13.675 * [backup-simplify]: Simplify 1 into 1 13.675 * [backup-simplify]: Simplify (* 1 1) into 1 13.675 * [backup-simplify]: Simplify (/ 1 1) into 1 13.676 * [backup-simplify]: Simplify (+ 0 1) into 1 13.676 * [backup-simplify]: Simplify (sqrt 1) into 1 13.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.677 * [backup-simplify]: Simplify (+ 0 0) into 0 13.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.677 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.677 * [taylor]: Taking taylor expansion of y in x 13.677 * [backup-simplify]: Simplify y into y 13.677 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.677 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.678 * [backup-simplify]: Simplify (* 1 1) into 1 13.678 * [backup-simplify]: Simplify (+ 1 0) into 1 13.678 * [taylor]: Taking taylor expansion of 1 in y 13.678 * [backup-simplify]: Simplify 1 into 1 13.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.679 * [backup-simplify]: Simplify (+ 0 0) into 0 13.679 * [taylor]: Taking taylor expansion of 0 in y 13.679 * [backup-simplify]: Simplify 0 into 0 13.679 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.680 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 13.681 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.681 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.682 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 13.683 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.683 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 13.684 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 13.684 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 13.684 * [taylor]: Taking taylor expansion of 3 in y 13.684 * [backup-simplify]: Simplify 3 into 3 13.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.684 * [taylor]: Taking taylor expansion of y in y 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify 1 into 1 13.684 * [backup-simplify]: Simplify (* 1 1) into 1 13.684 * [backup-simplify]: Simplify (/ 1 1) into 1 13.684 * [backup-simplify]: Simplify (* 3 1) into 3 13.685 * [backup-simplify]: Simplify 3 into 3 13.685 * [backup-simplify]: Simplify 1 into 1 13.685 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.685 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.687 * [backup-simplify]: Simplify (+ 0 0) into 0 13.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.687 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.688 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.689 * [backup-simplify]: Simplify (+ 0 0) into 0 13.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 13.690 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.692 * [backup-simplify]: Simplify (+ 0 0) into 0 13.692 * [taylor]: Taking taylor expansion of 0 in y 13.692 * [backup-simplify]: Simplify 0 into 0 13.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.694 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 13.694 * [backup-simplify]: Simplify 0 into 0 13.694 * [backup-simplify]: Simplify 0 into 0 13.694 * [backup-simplify]: Simplify 0 into 0 13.694 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.696 * [backup-simplify]: Simplify (+ 0 0) into 0 13.697 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 13.697 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.699 * [backup-simplify]: Simplify (+ 0 0) into 0 13.700 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 13.701 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* (/ -1/2 (pow y 4)) 1))))) into 0 13.701 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.702 * [backup-simplify]: Simplify (+ 0 0) into 0 13.702 * [taylor]: Taking taylor expansion of 0 in y 13.702 * [backup-simplify]: Simplify 0 into 0 13.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.704 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 13.704 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 13.704 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (* 2 (pow y 2)) (pow x 2)) 13.704 * [approximate]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in (x y) around 0 13.704 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 13.704 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.704 * [taylor]: Taking taylor expansion of 2 in y 13.704 * [backup-simplify]: Simplify 2 into 2 13.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.704 * [taylor]: Taking taylor expansion of y in y 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 1 into 1 13.704 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.704 * [taylor]: Taking taylor expansion of x in y 13.704 * [backup-simplify]: Simplify x into x 13.704 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 13.704 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.704 * [taylor]: Taking taylor expansion of 2 in x 13.704 * [backup-simplify]: Simplify 2 into 2 13.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.704 * [taylor]: Taking taylor expansion of y in x 13.705 * [backup-simplify]: Simplify y into y 13.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.705 * [taylor]: Taking taylor expansion of x in x 13.705 * [backup-simplify]: Simplify 0 into 0 13.705 * [backup-simplify]: Simplify 1 into 1 13.705 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 13.705 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.705 * [taylor]: Taking taylor expansion of 2 in x 13.705 * [backup-simplify]: Simplify 2 into 2 13.705 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.705 * [taylor]: Taking taylor expansion of y in x 13.705 * [backup-simplify]: Simplify y into y 13.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.705 * [taylor]: Taking taylor expansion of x in x 13.705 * [backup-simplify]: Simplify 0 into 0 13.705 * [backup-simplify]: Simplify 1 into 1 13.705 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.705 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.705 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 13.705 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.705 * [taylor]: Taking taylor expansion of 2 in y 13.705 * [backup-simplify]: Simplify 2 into 2 13.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.705 * [taylor]: Taking taylor expansion of y in y 13.705 * [backup-simplify]: Simplify 0 into 0 13.705 * [backup-simplify]: Simplify 1 into 1 13.705 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.706 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.706 * [backup-simplify]: Simplify (+ 0 0) into 0 13.706 * [taylor]: Taking taylor expansion of 0 in y 13.706 * [backup-simplify]: Simplify 0 into 0 13.706 * [backup-simplify]: Simplify 0 into 0 13.706 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 13.707 * [backup-simplify]: Simplify (* 1 1) into 1 13.707 * [backup-simplify]: Simplify (+ 0 1) into 1 13.707 * [taylor]: Taking taylor expansion of 1 in y 13.707 * [backup-simplify]: Simplify 1 into 1 13.707 * [backup-simplify]: Simplify 1 into 1 13.707 * [backup-simplify]: Simplify 0 into 0 13.707 * [backup-simplify]: Simplify (* 1 1) into 1 13.708 * [backup-simplify]: Simplify (* 2 1) into 2 13.708 * [backup-simplify]: Simplify 2 into 2 13.708 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.709 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 13.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.710 * [backup-simplify]: Simplify (+ 0 0) into 0 13.710 * [taylor]: Taking taylor expansion of 0 in y 13.710 * [backup-simplify]: Simplify 0 into 0 13.710 * [backup-simplify]: Simplify 0 into 0 13.710 * [backup-simplify]: Simplify 0 into 0 13.710 * [backup-simplify]: Simplify 0 into 0 13.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.711 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.711 * [backup-simplify]: Simplify 0 into 0 13.712 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 13.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 13.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.713 * [backup-simplify]: Simplify (+ 0 0) into 0 13.713 * [taylor]: Taking taylor expansion of 0 in y 13.713 * [backup-simplify]: Simplify 0 into 0 13.713 * [backup-simplify]: Simplify 0 into 0 13.713 * [backup-simplify]: Simplify 0 into 0 13.714 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 13.714 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 13.714 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 13.714 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 13.714 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.714 * [taylor]: Taking taylor expansion of 2 in y 13.714 * [backup-simplify]: Simplify 2 into 2 13.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.714 * [taylor]: Taking taylor expansion of y in y 13.714 * [backup-simplify]: Simplify 0 into 0 13.714 * [backup-simplify]: Simplify 1 into 1 13.714 * [backup-simplify]: Simplify (* 1 1) into 1 13.714 * [backup-simplify]: Simplify (/ 1 1) into 1 13.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.714 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.714 * [taylor]: Taking taylor expansion of x in y 13.714 * [backup-simplify]: Simplify x into x 13.715 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.715 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.715 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.715 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.715 * [taylor]: Taking taylor expansion of 2 in x 13.715 * [backup-simplify]: Simplify 2 into 2 13.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.715 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.715 * [taylor]: Taking taylor expansion of y in x 13.715 * [backup-simplify]: Simplify y into y 13.715 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.715 * [taylor]: Taking taylor expansion of x in x 13.715 * [backup-simplify]: Simplify 0 into 0 13.715 * [backup-simplify]: Simplify 1 into 1 13.715 * [backup-simplify]: Simplify (* 1 1) into 1 13.715 * [backup-simplify]: Simplify (/ 1 1) into 1 13.715 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.715 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.716 * [taylor]: Taking taylor expansion of 2 in x 13.716 * [backup-simplify]: Simplify 2 into 2 13.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.716 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.716 * [taylor]: Taking taylor expansion of y in x 13.716 * [backup-simplify]: Simplify y into y 13.716 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.716 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.716 * [taylor]: Taking taylor expansion of x in x 13.716 * [backup-simplify]: Simplify 0 into 0 13.716 * [backup-simplify]: Simplify 1 into 1 13.716 * [backup-simplify]: Simplify (* 1 1) into 1 13.716 * [backup-simplify]: Simplify (/ 1 1) into 1 13.717 * [backup-simplify]: Simplify (+ 0 1) into 1 13.717 * [taylor]: Taking taylor expansion of 1 in y 13.717 * [backup-simplify]: Simplify 1 into 1 13.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.718 * [backup-simplify]: Simplify (+ 0 0) into 0 13.718 * [taylor]: Taking taylor expansion of 0 in y 13.718 * [backup-simplify]: Simplify 0 into 0 13.718 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.719 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 13.719 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.719 * [taylor]: Taking taylor expansion of 2 in y 13.719 * [backup-simplify]: Simplify 2 into 2 13.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.719 * [taylor]: Taking taylor expansion of y in y 13.719 * [backup-simplify]: Simplify 0 into 0 13.719 * [backup-simplify]: Simplify 1 into 1 13.719 * [backup-simplify]: Simplify (* 1 1) into 1 13.720 * [backup-simplify]: Simplify (/ 1 1) into 1 13.720 * [backup-simplify]: Simplify (* 2 1) into 2 13.720 * [backup-simplify]: Simplify 2 into 2 13.720 * [backup-simplify]: Simplify 1 into 1 13.720 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.720 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.722 * [backup-simplify]: Simplify (+ 0 0) into 0 13.722 * [taylor]: Taking taylor expansion of 0 in y 13.722 * [backup-simplify]: Simplify 0 into 0 13.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.723 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.723 * [backup-simplify]: Simplify 0 into 0 13.723 * [backup-simplify]: Simplify 0 into 0 13.723 * [backup-simplify]: Simplify 0 into 0 13.723 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.724 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.726 * [backup-simplify]: Simplify (+ 0 0) into 0 13.726 * [taylor]: Taking taylor expansion of 0 in y 13.726 * [backup-simplify]: Simplify 0 into 0 13.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.727 * [backup-simplify]: Simplify 0 into 0 13.727 * [backup-simplify]: Simplify 0 into 0 13.727 * [backup-simplify]: Simplify 0 into 0 13.728 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 13.728 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 13.728 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 13.728 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 13.728 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.728 * [taylor]: Taking taylor expansion of 2 in y 13.728 * [backup-simplify]: Simplify 2 into 2 13.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.728 * [taylor]: Taking taylor expansion of y in y 13.728 * [backup-simplify]: Simplify 0 into 0 13.728 * [backup-simplify]: Simplify 1 into 1 13.728 * [backup-simplify]: Simplify (* 1 1) into 1 13.729 * [backup-simplify]: Simplify (/ 1 1) into 1 13.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.729 * [taylor]: Taking taylor expansion of x in y 13.729 * [backup-simplify]: Simplify x into x 13.729 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.729 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.729 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.729 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.729 * [taylor]: Taking taylor expansion of 2 in x 13.729 * [backup-simplify]: Simplify 2 into 2 13.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.729 * [taylor]: Taking taylor expansion of y in x 13.729 * [backup-simplify]: Simplify y into y 13.729 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.729 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.729 * [taylor]: Taking taylor expansion of x in x 13.729 * [backup-simplify]: Simplify 0 into 0 13.729 * [backup-simplify]: Simplify 1 into 1 13.729 * [backup-simplify]: Simplify (* 1 1) into 1 13.730 * [backup-simplify]: Simplify (/ 1 1) into 1 13.730 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 13.730 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.730 * [taylor]: Taking taylor expansion of 2 in x 13.730 * [backup-simplify]: Simplify 2 into 2 13.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.730 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.730 * [taylor]: Taking taylor expansion of y in x 13.730 * [backup-simplify]: Simplify y into y 13.730 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.730 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.730 * [taylor]: Taking taylor expansion of x in x 13.730 * [backup-simplify]: Simplify 0 into 0 13.730 * [backup-simplify]: Simplify 1 into 1 13.730 * [backup-simplify]: Simplify (* 1 1) into 1 13.730 * [backup-simplify]: Simplify (/ 1 1) into 1 13.731 * [backup-simplify]: Simplify (+ 0 1) into 1 13.731 * [taylor]: Taking taylor expansion of 1 in y 13.731 * [backup-simplify]: Simplify 1 into 1 13.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.732 * [backup-simplify]: Simplify (+ 0 0) into 0 13.732 * [taylor]: Taking taylor expansion of 0 in y 13.732 * [backup-simplify]: Simplify 0 into 0 13.732 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.733 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 13.733 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.733 * [taylor]: Taking taylor expansion of 2 in y 13.733 * [backup-simplify]: Simplify 2 into 2 13.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.733 * [taylor]: Taking taylor expansion of y in y 13.733 * [backup-simplify]: Simplify 0 into 0 13.733 * [backup-simplify]: Simplify 1 into 1 13.733 * [backup-simplify]: Simplify (* 1 1) into 1 13.734 * [backup-simplify]: Simplify (/ 1 1) into 1 13.734 * [backup-simplify]: Simplify (* 2 1) into 2 13.734 * [backup-simplify]: Simplify 2 into 2 13.734 * [backup-simplify]: Simplify 1 into 1 13.734 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.735 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.736 * [backup-simplify]: Simplify (+ 0 0) into 0 13.736 * [taylor]: Taking taylor expansion of 0 in y 13.736 * [backup-simplify]: Simplify 0 into 0 13.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.737 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.737 * [backup-simplify]: Simplify 0 into 0 13.737 * [backup-simplify]: Simplify 0 into 0 13.737 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.739 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.740 * [backup-simplify]: Simplify (+ 0 0) into 0 13.740 * [taylor]: Taking taylor expansion of 0 in y 13.740 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.742 * [backup-simplify]: Simplify 0 into 0 13.742 * [backup-simplify]: Simplify 0 into 0 13.742 * [backup-simplify]: Simplify 0 into 0 13.742 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 13.742 * * * [progress]: simplifying candidates 13.743 * [simplify]: Simplifying: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* 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)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow y 2) (+ (pow x 2) (* (pow (sqrt 2) 2) (pow y 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)) 13.744 * * [simplify]: iteration 0: 76 enodes 13.758 * * [simplify]: iteration 1: 198 enodes 13.837 * * [simplify]: iteration 2: 1055 enodes 14.383 * * [simplify]: iteration complete: 5002 enodes 14.384 * * [simplify]: Extracting #0: cost 43 inf + 0 14.392 * * [simplify]: Extracting #1: cost 500 inf + 85 14.405 * * [simplify]: Extracting #2: cost 1450 inf + 31079 14.464 * * [simplify]: Extracting #3: cost 834 inf + 210457 14.559 * * [simplify]: Extracting #4: cost 92 inf + 354305 14.631 * * [simplify]: Extracting #5: cost 13 inf + 364766 14.712 * * [simplify]: Extracting #6: cost 0 inf + 367740 14.786 * [simplify]: Simplified to: (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (log (hypot (* (sqrt 2) y) x)) (exp (hypot (* (sqrt 2) y) x)) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (* (fma y (+ y y) (* x x)) (sqrt (fma y (+ y y) (* x x)))) (fabs (cbrt (fma y (+ y y) (* x x)))) (sqrt (cbrt (fma y (+ y y) (* x x)))) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) 1 (hypot (* (sqrt 2) y) x) (sqrt (fma (fma y y (* x x)) (* (fma y y (* x x)) (fma y y (* x x))) (* (* (* y y) y) (* (* y y) y)))) (sqrt (fma (* y y) (- (* x x)) (* (fma y y (* x x)) (fma y y (* x x))))) (sqrt (* (fma y (+ y y) (* x x)) (* x x))) (sqrt (* x x)) 1/2 (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (log (hypot (* (sqrt 2) y) x)) (exp (hypot (* (sqrt 2) y) x)) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (* (fma y (+ y y) (* x x)) (sqrt (fma y (+ y y) (* x x)))) (fabs (cbrt (fma y (+ y y) (* x x)))) (sqrt (cbrt (fma y (+ y y) (* x x)))) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) 1 (hypot (* (sqrt 2) y) x) (sqrt (fma (fma y y (* x x)) (* (fma y y (* x x)) (fma y y (* x x))) (* (* (* y y) y) (* (* y y) y)))) (sqrt (fma (* y y) (- (* x x)) (* (fma y y (* x x)) (fma y y (* x x))))) (sqrt (* (fma y (+ y y) (* x x)) (* x x))) (sqrt (* x x)) 1/2 (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (expm1 (fma x x (fma 2 (* y y) (* y y)))) (log1p (fma x x (fma 2 (* y y) (* y y)))) (fma y (+ y y) (* x x)) (log (fma x x (fma 2 (* y y) (* y y)))) (exp (fma x x (fma 2 (* y y) (* y y)))) (* (cbrt (fma x x (fma 2 (* y y) (* y y)))) (cbrt (fma x x (fma 2 (* y y) (* y y))))) (cbrt (fma x x (fma 2 (* y y) (* y y)))) (* (fma x x (fma 2 (* y y) (* y y))) (* (fma x x (fma 2 (* y y) (* y y))) (fma x x (fma 2 (* y y) (* y y))))) (sqrt (fma x x (fma 2 (* y y) (* y y)))) (sqrt (fma x x (fma 2 (* y y) (* y y)))) (expm1 (fma y (+ y y) (* x x))) (log1p (fma y (+ y y) (* x x))) (exp (fma y (+ y y) (* x x))) (exp (fma y (+ y y) (* x x))) (log (fma y (+ y y) (* x x))) (exp (fma y (+ y y) (* x x))) (* (cbrt (fma y (+ y y) (* x x))) (cbrt (fma y (+ y y) (* x x)))) (cbrt (fma y (+ y y) (* x x))) (* (fma y (+ y y) (* x x)) (* (fma y (+ y y) (* x x)) (fma y (+ y y) (* x x)))) (hypot (* (sqrt 2) y) x) (hypot (* (sqrt 2) y) x) (fma (fma y y (* x x)) (* (fma y y (* x x)) (fma y y (* x x))) (* (* (* y y) y) (* (* y y) y))) (fma (* y y) (- (* x x)) (* (fma y y (* x x)) (fma y y (* x x)))) (* (fma y (+ y y) (* x x)) (* x x)) (* x x) (+ (* y y) (* y y)) (* y (sqrt 2)) x (- x) (* y (sqrt 2)) x (- x) (fma x x (fma 2 (* y y) (* y y))) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma y (+ y y) (* x x)) (fma y (+ y y) (* x x)) (fma y (+ y y) (* x x)) 14.792 * * * [progress]: adding candidates to table 15.151 * [progress]: [Phase 3 of 3] Extracting. 15.151 * * [regime]: Finding splitpoints for: (# # # # # #) 15.153 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 15.153 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 15.195 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 15.235 * * * * [regimes]: Trying to branch on y from (# # # # # #) 15.278 * * * * [regimes]: Trying to branch on x from (# # # # # #) 15.336 * * * [regime]: Found split indices: #