17.051 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.053 * * [simplify]: iteration 0: 7 enodes 0.056 * * [simplify]: iteration 1: 13 enodes 0.060 * * [simplify]: iteration 2: 23 enodes 0.067 * * [simplify]: iteration 3: 36 enodes 0.077 * * [simplify]: iteration 4: 47 enodes 0.083 * * [simplify]: iteration 5: 51 enodes 0.089 * * [simplify]: iteration complete: 51 enodes 0.089 * * [simplify]: Extracting #0: cost 1 inf + 0 0.089 * * [simplify]: Extracting #1: cost 7 inf + 0 0.089 * * [simplify]: Extracting #2: cost 13 inf + 0 0.089 * * [simplify]: Extracting #3: cost 6 inf + 17 0.089 * * [simplify]: Extracting #4: cost 2 inf + 37 0.089 * * [simplify]: Extracting #5: cost 0 inf + 51 0.089 * [simplify]: Simplified to: (+ (* (* y y) 3) (* x x)) 0.093 * * [progress]: iteration 1 / 4 0.093 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.095 * * * [progress]: localizing error 0.125 * * * [progress]: generating rewritten candidates 0.125 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.243 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.277 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.284 * * * [progress]: generating series expansions 0.284 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.284 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (* 3 (pow y 2)) (pow x 2)) 0.284 * [approximate]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 0.284 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of 3 in y 0.284 * [backup-simplify]: Simplify 3 into 3 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [backup-simplify]: Simplify x into x 0.284 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.284 * [taylor]: Taking taylor expansion of 3 in x 0.284 * [backup-simplify]: Simplify 3 into 3 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [backup-simplify]: Simplify y into y 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.285 * [taylor]: Taking taylor expansion of 3 in x 0.285 * [backup-simplify]: Simplify 3 into 3 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [backup-simplify]: Simplify y into y 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.285 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.285 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 0.285 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of 3 in y 0.285 * [backup-simplify]: Simplify 3 into 3 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.286 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (+ 0 1) into 1 0.288 * [taylor]: Taking taylor expansion of 1 in y 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (* 3 1) into 3 0.289 * [backup-simplify]: Simplify 3 into 3 0.289 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 0.296 * [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))) 0.296 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.296 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.296 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.296 * [taylor]: Taking taylor expansion of 3 in y 0.296 * [backup-simplify]: Simplify 3 into 3 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [backup-simplify]: Simplify x into x 0.297 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.297 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.297 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.297 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.297 * [taylor]: Taking taylor expansion of 3 in x 0.297 * [backup-simplify]: Simplify 3 into 3 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [backup-simplify]: Simplify y into y 0.297 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.297 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.298 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.298 * [taylor]: Taking taylor expansion of 3 in x 0.298 * [backup-simplify]: Simplify 3 into 3 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [backup-simplify]: Simplify y into y 0.298 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.298 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (+ 0 1) into 1 0.300 * [taylor]: Taking taylor expansion of 1 in y 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0.302 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 0.304 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.304 * [taylor]: Taking taylor expansion of 3 in y 0.304 * [backup-simplify]: Simplify 3 into 3 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [backup-simplify]: Simplify (* 3 1) into 3 0.305 * [backup-simplify]: Simplify 3 into 3 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.313 * [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 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [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)) 0.319 * [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))) 0.320 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.320 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.320 * [taylor]: Taking taylor expansion of 3 in y 0.320 * [backup-simplify]: Simplify 3 into 3 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [backup-simplify]: Simplify x into x 0.321 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.321 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.321 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.321 * [taylor]: Taking taylor expansion of 3 in x 0.321 * [backup-simplify]: Simplify 3 into 3 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [backup-simplify]: Simplify y into y 0.321 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.322 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.322 * [taylor]: Taking taylor expansion of 3 in x 0.322 * [backup-simplify]: Simplify 3 into 3 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [backup-simplify]: Simplify y into y 0.323 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.323 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (* 1 1) into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (+ 0 1) into 1 0.324 * [taylor]: Taking taylor expansion of 1 in y 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 0.328 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of 3 in y 0.328 * [backup-simplify]: Simplify 3 into 3 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify (* 3 1) into 3 0.330 * [backup-simplify]: Simplify 3 into 3 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [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)) 0.344 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.344 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (* 2 (pow y 2)) (pow x 2)) 0.344 * [approximate]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of 2 in y 0.344 * [backup-simplify]: Simplify 2 into 2 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [backup-simplify]: Simplify x into x 0.345 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of 2 in x 0.345 * [backup-simplify]: Simplify 2 into 2 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [backup-simplify]: Simplify y into y 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of 2 in x 0.345 * [backup-simplify]: Simplify 2 into 2 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [backup-simplify]: Simplify y into y 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.345 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 0.345 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 0.345 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of 2 in y 0.346 * [backup-simplify]: Simplify 2 into 2 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.346 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ 0 1) into 1 0.350 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (* 2 1) into 2 0.351 * [backup-simplify]: Simplify 2 into 2 0.351 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 0.360 * [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))) 0.360 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.360 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.360 * [taylor]: Taking taylor expansion of 2 in y 0.360 * [backup-simplify]: Simplify 2 into 2 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [backup-simplify]: Simplify x into x 0.361 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.361 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.361 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.362 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.362 * [taylor]: Taking taylor expansion of 2 in x 0.362 * [backup-simplify]: Simplify 2 into 2 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [backup-simplify]: Simplify y into y 0.362 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.362 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.363 * [taylor]: Taking taylor expansion of 2 in x 0.363 * [backup-simplify]: Simplify 2 into 2 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [backup-simplify]: Simplify y into y 0.363 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (+ 0 1) into 1 0.365 * [taylor]: Taking taylor expansion of 1 in y 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 0.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of 2 in y 0.368 * [backup-simplify]: Simplify 2 into 2 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify (* 2 1) into 2 0.370 * [backup-simplify]: Simplify 2 into 2 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [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)) 0.386 * [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))) 0.386 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.386 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.386 * [taylor]: Taking taylor expansion of 2 in y 0.386 * [backup-simplify]: Simplify 2 into 2 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [backup-simplify]: Simplify x into x 0.387 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.387 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.387 * [taylor]: Taking taylor expansion of 2 in x 0.387 * [backup-simplify]: Simplify 2 into 2 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [backup-simplify]: Simplify y into y 0.387 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.388 * [taylor]: Taking taylor expansion of 2 in x 0.388 * [backup-simplify]: Simplify 2 into 2 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [backup-simplify]: Simplify y into y 0.389 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.389 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify (+ 0 1) into 1 0.390 * [taylor]: Taking taylor expansion of 1 in y 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 0.394 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.394 * [taylor]: Taking taylor expansion of 2 in y 0.394 * [backup-simplify]: Simplify 2 into 2 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.395 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [backup-simplify]: Simplify (* 2 1) into 2 0.396 * [backup-simplify]: Simplify 2 into 2 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.397 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 0.411 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.411 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.411 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [backup-simplify]: Simplify x into x 0.411 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.412 * [backup-simplify]: Simplify y into y 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.412 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (+ 0 1) into 1 0.414 * [taylor]: Taking taylor expansion of 1 in y 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 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 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.421 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.421 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [backup-simplify]: Simplify x into x 0.423 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.423 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [backup-simplify]: Simplify y into y 0.423 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.423 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [backup-simplify]: Simplify y into y 0.425 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.425 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [backup-simplify]: Simplify (+ 0 1) into 1 0.426 * [taylor]: Taking taylor expansion of 1 in y 0.426 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (* 1 1) into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.443 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.443 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [backup-simplify]: Simplify x into x 0.444 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [backup-simplify]: Simplify y into y 0.444 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [backup-simplify]: Simplify y into y 0.445 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.446 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (* 1 1) into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [backup-simplify]: Simplify (+ 0 1) into 1 0.449 * [taylor]: Taking taylor expansion of 1 in y 0.449 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.465 * * * [progress]: simplifying candidates 0.466 * [simplify]: Simplifying: (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (* 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)) 0.468 * * [simplify]: iteration 0: 70 enodes 0.496 * * [simplify]: iteration 1: 254 enodes 0.647 * * [simplify]: iteration 2: 1438 enodes 1.193 * * [simplify]: iteration complete: 5001 enodes 1.194 * * [simplify]: Extracting #0: cost 33 inf + 0 1.194 * * [simplify]: Extracting #1: cost 383 inf + 0 1.198 * * [simplify]: Extracting #2: cost 1747 inf + 26 1.205 * * [simplify]: Extracting #3: cost 1590 inf + 4849 1.213 * * [simplify]: Extracting #4: cost 320 inf + 21364 1.225 * * [simplify]: Extracting #5: cost 46 inf + 26100 1.233 * * [simplify]: Extracting #6: cost 7 inf + 26143 1.244 * * [simplify]: Extracting #7: cost 0 inf + 26192 1.251 * [simplify]: Simplified to: (* (pow (exp x) x) (pow (pow (exp y) y) 3)) (* (pow (exp x) x) (pow (pow (exp y) y) 3)) (* (pow (exp x) x) (pow (pow (exp y) y) 3)) (log (+ (* y y) (+ (* x x) (* y (+ y y))))) (* (pow (exp x) x) (pow (pow (exp y) y) 3)) (* (cbrt (+ (* y y) (+ (* x x) (* y (+ y y))))) (cbrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (cbrt (+ (* y y) (+ (* x x) (* y (+ y y))))) (pow (+ (* y y) (+ (* x x) (* y (+ y y)))) 3) (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))) (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))) (+ (pow (+ (* x x) (* y (+ y y))) 3) (pow y 6)) (+ (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y)))) (* (* y (- y)) (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (+ (* y y) (+ (* x x) (* y (+ y y))))) (+ (* y y) (* x x)) (* y (+ y y)) (exp (+ (* x x) (* y (+ y y)))) (exp (+ (* x x) (* y (+ y y)))) (log (+ (* x x) (* y (+ y y)))) (exp (+ (* x x) (* y (+ y y)))) (* (cbrt (+ (* x x) (* y (+ y y)))) (cbrt (+ (* x x) (* y (+ y y))))) (cbrt (+ (* x x) (* y (+ y y)))) (pow (+ (* x x) (* y (+ y y))) 3) (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))) (+ (pow y 6) (pow (+ (* y y) (* x x)) 3)) (+ (* (* y y) (- (* x x))) (* (+ (* y y) (* x x)) (+ (* x x) (* y y)))) (* (* x x) (+ (* x x) (* y (+ y y)))) (* x x) (* y (+ y y)) (exp (+ (* y y) (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (pow (+ (* y y) (* x x)) 3) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (pow x 6) (pow y 6)) (- (pow y 4) (- (* (* x y) (* x y)) (pow x 4))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* (* y y) 3)) (+ (* x x) (* (* y y) 3)) (+ (* x x) (* (* y y) 3)) (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 1.252 * * * [progress]: adding candidates to table 1.432 * * [progress]: iteration 2 / 4 1.432 * * * [progress]: picking best candidate 1.479 * * * * [pick]: Picked # 1.479 * * * [progress]: localizing error 1.506 * * * [progress]: generating rewritten candidates 1.506 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.513 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.519 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.591 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.631 * * * [progress]: generating series expansions 1.631 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.632 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y (+ y y)))) into (sqrt (+ (* 2 (pow y 2)) (pow x 2))) 1.632 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in (x y) around 0 1.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 1.632 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 1.632 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.632 * [taylor]: Taking taylor expansion of 2 in y 1.632 * [backup-simplify]: Simplify 2 into 2 1.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.632 * [taylor]: Taking taylor expansion of y in y 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.632 * [taylor]: Taking taylor expansion of x in y 1.632 * [backup-simplify]: Simplify x into x 1.632 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.632 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.632 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.632 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.633 * [backup-simplify]: Simplify (+ 0 0) into 0 1.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.633 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 1.633 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 1.633 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.633 * [taylor]: Taking taylor expansion of 2 in x 1.633 * [backup-simplify]: Simplify 2 into 2 1.633 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.633 * [taylor]: Taking taylor expansion of y in x 1.633 * [backup-simplify]: Simplify y into y 1.633 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.633 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.633 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 1.633 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 1.633 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.634 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 1.634 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 1.634 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 1.634 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.634 * [taylor]: Taking taylor expansion of 2 in x 1.634 * [backup-simplify]: Simplify 2 into 2 1.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.634 * [taylor]: Taking taylor expansion of y in x 1.634 * [backup-simplify]: Simplify y into y 1.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.634 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.634 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 1.635 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 1.635 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.635 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 1.635 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.635 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.635 * [taylor]: Taking taylor expansion of 2 in y 1.636 * [backup-simplify]: Simplify 2 into 2 1.636 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.636 * [taylor]: Taking taylor expansion of y in y 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [taylor]: Taking taylor expansion of 0 in y 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1.638 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.638 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.639 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.639 * [backup-simplify]: Simplify (* 1 1) into 1 1.639 * [backup-simplify]: Simplify (+ 0 1) into 1 1.640 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 1.640 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.640 * [taylor]: Taking taylor expansion of 1/2 in y 1.640 * [backup-simplify]: Simplify 1/2 into 1/2 1.640 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.640 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.640 * [taylor]: Taking taylor expansion of 2 in y 1.640 * [backup-simplify]: Simplify 2 into 2 1.640 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.641 * [taylor]: Taking taylor expansion of y in y 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.642 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1.643 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 1.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.644 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1.645 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.648 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 1.651 * [taylor]: Taking taylor expansion of 0 in y 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.652 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.653 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 1.654 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y))))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 1.654 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 1.654 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 1.654 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.654 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.654 * [taylor]: Taking taylor expansion of 2 in y 1.654 * [backup-simplify]: Simplify 2 into 2 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.654 * [taylor]: Taking taylor expansion of y in y 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (* 1 1) into 1 1.654 * [backup-simplify]: Simplify (/ 1 1) into 1 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.654 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.654 * [taylor]: Taking taylor expansion of x in y 1.654 * [backup-simplify]: Simplify x into x 1.654 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.654 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.655 * [backup-simplify]: Simplify (* 2 1) into 2 1.655 * [backup-simplify]: Simplify (+ 2 0) into 2 1.656 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.659 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.659 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.659 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.659 * [taylor]: Taking taylor expansion of 2 in x 1.659 * [backup-simplify]: Simplify 2 into 2 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.659 * [taylor]: Taking taylor expansion of y in x 1.659 * [backup-simplify]: Simplify y into y 1.659 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (* 1 1) into 1 1.660 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [backup-simplify]: Simplify (+ 0 1) into 1 1.661 * [backup-simplify]: Simplify (sqrt 1) into 1 1.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.664 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.664 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.664 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.664 * [taylor]: Taking taylor expansion of 2 in x 1.664 * [backup-simplify]: Simplify 2 into 2 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.664 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.664 * [taylor]: Taking taylor expansion of y in x 1.664 * [backup-simplify]: Simplify y into y 1.664 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.664 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (* 1 1) into 1 1.665 * [backup-simplify]: Simplify (/ 1 1) into 1 1.666 * [backup-simplify]: Simplify (+ 0 1) into 1 1.666 * [backup-simplify]: Simplify (sqrt 1) into 1 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.669 * [taylor]: Taking taylor expansion of 1 in y 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [taylor]: Taking taylor expansion of 0 in y 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 1.672 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.672 * [taylor]: Taking taylor expansion of y in y 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (* 1 1) into 1 1.672 * [backup-simplify]: Simplify (/ 1 1) into 1 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 1.676 * [taylor]: Taking taylor expansion of 0 in y 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.677 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 1.677 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 1.677 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 1.677 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.677 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.677 * [taylor]: Taking taylor expansion of 2 in y 1.677 * [backup-simplify]: Simplify 2 into 2 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (* 1 1) into 1 1.678 * [backup-simplify]: Simplify (/ 1 1) into 1 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.678 * [taylor]: Taking taylor expansion of x in y 1.678 * [backup-simplify]: Simplify x into x 1.678 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.678 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.678 * [backup-simplify]: Simplify (* 2 1) into 2 1.678 * [backup-simplify]: Simplify (+ 2 0) into 2 1.679 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.680 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.680 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.681 * [taylor]: Taking taylor expansion of 2 in x 1.681 * [backup-simplify]: Simplify 2 into 2 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.681 * [backup-simplify]: Simplify y into y 1.681 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (* 1 1) into 1 1.681 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [backup-simplify]: Simplify (+ 0 1) into 1 1.682 * [backup-simplify]: Simplify (sqrt 1) into 1 1.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.683 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.683 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.683 * [taylor]: Taking taylor expansion of 2 in x 1.683 * [backup-simplify]: Simplify 2 into 2 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.683 * [taylor]: Taking taylor expansion of y in x 1.683 * [backup-simplify]: Simplify y into y 1.683 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.684 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (* 1 1) into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [backup-simplify]: Simplify (+ 0 1) into 1 1.685 * [backup-simplify]: Simplify (sqrt 1) into 1 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.686 * [taylor]: Taking taylor expansion of 1 in y 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [taylor]: Taking taylor expansion of 0 in y 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 1.688 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.688 * [taylor]: Taking taylor expansion of y in y 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (* 1 1) into 1 1.689 * [backup-simplify]: Simplify (/ 1 1) into 1 1.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.690 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 1.692 * [taylor]: Taking taylor expansion of 0 in y 1.692 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.693 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.694 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y (+ y y)))) into (sqrt (+ (* 2 (pow y 2)) (pow x 2))) 1.694 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in (x y) around 0 1.694 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 1.694 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 1.694 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.694 * [taylor]: Taking taylor expansion of 2 in y 1.694 * [backup-simplify]: Simplify 2 into 2 1.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.694 * [taylor]: Taking taylor expansion of y in y 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.694 * [taylor]: Taking taylor expansion of x in y 1.694 * [backup-simplify]: Simplify x into x 1.694 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.694 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.694 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.694 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.694 * [backup-simplify]: Simplify (+ 0 0) into 0 1.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.694 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 1.694 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 1.694 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.694 * [taylor]: Taking taylor expansion of 2 in x 1.694 * [backup-simplify]: Simplify 2 into 2 1.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.694 * [taylor]: Taking taylor expansion of y in x 1.695 * [backup-simplify]: Simplify y into y 1.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.695 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.695 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 1.695 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 1.695 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.695 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 1.696 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 1.696 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 1.696 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.696 * [taylor]: Taking taylor expansion of 2 in x 1.696 * [backup-simplify]: Simplify 2 into 2 1.696 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.696 * [taylor]: Taking taylor expansion of y in x 1.696 * [backup-simplify]: Simplify y into y 1.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.696 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.696 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 1.696 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 1.696 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.697 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 1.697 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.697 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.697 * [taylor]: Taking taylor expansion of 2 in y 1.697 * [backup-simplify]: Simplify 2 into 2 1.697 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.698 * [taylor]: Taking taylor expansion of y in y 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [taylor]: Taking taylor expansion of 0 in y 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1.700 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.701 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.702 * [backup-simplify]: Simplify (* 1 1) into 1 1.702 * [backup-simplify]: Simplify (+ 0 1) into 1 1.704 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 1.704 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.704 * [taylor]: Taking taylor expansion of 1/2 in y 1.704 * [backup-simplify]: Simplify 1/2 into 1/2 1.704 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.704 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.704 * [taylor]: Taking taylor expansion of 2 in y 1.704 * [backup-simplify]: Simplify 2 into 2 1.704 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.705 * [taylor]: Taking taylor expansion of y in y 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.708 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1.709 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 1.710 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.711 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.714 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 1.717 * [taylor]: Taking taylor expansion of 0 in y 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.719 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.719 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 1.720 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y))))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 1.720 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 1.720 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 1.720 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.720 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.720 * [taylor]: Taking taylor expansion of 2 in y 1.720 * [backup-simplify]: Simplify 2 into 2 1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.720 * [taylor]: Taking taylor expansion of y in y 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (* 1 1) into 1 1.721 * [backup-simplify]: Simplify (/ 1 1) into 1 1.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.721 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.721 * [taylor]: Taking taylor expansion of x in y 1.721 * [backup-simplify]: Simplify x into x 1.721 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.721 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.721 * [backup-simplify]: Simplify (* 2 1) into 2 1.721 * [backup-simplify]: Simplify (+ 2 0) into 2 1.722 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.723 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.723 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.724 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.724 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.724 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.724 * [taylor]: Taking taylor expansion of 2 in x 1.724 * [backup-simplify]: Simplify 2 into 2 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.724 * [taylor]: Taking taylor expansion of y in x 1.724 * [backup-simplify]: Simplify y into y 1.724 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.724 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [backup-simplify]: Simplify (* 1 1) into 1 1.724 * [backup-simplify]: Simplify (/ 1 1) into 1 1.725 * [backup-simplify]: Simplify (+ 0 1) into 1 1.725 * [backup-simplify]: Simplify (sqrt 1) into 1 1.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.726 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.726 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.726 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.726 * [taylor]: Taking taylor expansion of 2 in x 1.726 * [backup-simplify]: Simplify 2 into 2 1.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.726 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.726 * [taylor]: Taking taylor expansion of y in x 1.726 * [backup-simplify]: Simplify y into y 1.727 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.727 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (* 1 1) into 1 1.727 * [backup-simplify]: Simplify (/ 1 1) into 1 1.727 * [backup-simplify]: Simplify (+ 0 1) into 1 1.728 * [backup-simplify]: Simplify (sqrt 1) into 1 1.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.729 * [taylor]: Taking taylor expansion of 1 in y 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [taylor]: Taking taylor expansion of 0 in y 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 1.731 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.732 * [taylor]: Taking taylor expansion of y in y 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify (* 1 1) into 1 1.732 * [backup-simplify]: Simplify (/ 1 1) into 1 1.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.734 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 1.735 * [taylor]: Taking taylor expansion of 0 in y 1.735 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.737 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 1.737 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 1.737 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 1.737 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.737 * [taylor]: Taking taylor expansion of 2 in y 1.737 * [backup-simplify]: Simplify 2 into 2 1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.737 * [taylor]: Taking taylor expansion of y in y 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (* 1 1) into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.738 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.738 * [taylor]: Taking taylor expansion of x in y 1.738 * [backup-simplify]: Simplify x into x 1.738 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.738 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.738 * [backup-simplify]: Simplify (* 2 1) into 2 1.738 * [backup-simplify]: Simplify (+ 2 0) into 2 1.739 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.741 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.741 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.741 * [taylor]: Taking taylor expansion of 2 in x 1.741 * [backup-simplify]: Simplify 2 into 2 1.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.741 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.741 * [taylor]: Taking taylor expansion of y in x 1.741 * [backup-simplify]: Simplify y into y 1.741 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.741 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (* 1 1) into 1 1.741 * [backup-simplify]: Simplify (/ 1 1) into 1 1.742 * [backup-simplify]: Simplify (+ 0 1) into 1 1.742 * [backup-simplify]: Simplify (sqrt 1) into 1 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (+ 0 0) into 0 1.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.743 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.743 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.743 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.743 * [taylor]: Taking taylor expansion of 2 in x 1.743 * [backup-simplify]: Simplify 2 into 2 1.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.743 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.744 * [taylor]: Taking taylor expansion of y in x 1.744 * [backup-simplify]: Simplify y into y 1.744 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.744 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (* 1 1) into 1 1.744 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [backup-simplify]: Simplify (+ 0 1) into 1 1.745 * [backup-simplify]: Simplify (sqrt 1) into 1 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.746 * [taylor]: Taking taylor expansion of 1 in y 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [taylor]: Taking taylor expansion of 0 in y 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 1.752 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.752 * [taylor]: Taking taylor expansion of y in y 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (* 1 1) into 1 1.753 * [backup-simplify]: Simplify (/ 1 1) into 1 1.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.755 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 1.759 * [taylor]: Taking taylor expansion of 0 in y 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.761 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.762 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) into (+ (* 2 (pow y 2)) (pow x 2)) 1.762 * [approximate]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in (x y) around 0 1.762 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 1.762 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.762 * [taylor]: Taking taylor expansion of 2 in y 1.762 * [backup-simplify]: Simplify 2 into 2 1.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.762 * [taylor]: Taking taylor expansion of y in y 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.762 * [taylor]: Taking taylor expansion of x in y 1.762 * [backup-simplify]: Simplify x into x 1.762 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 1.762 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.762 * [taylor]: Taking taylor expansion of 2 in x 1.762 * [backup-simplify]: Simplify 2 into 2 1.762 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.762 * [taylor]: Taking taylor expansion of y in x 1.762 * [backup-simplify]: Simplify y into y 1.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 1.763 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.763 * [taylor]: Taking taylor expansion of 2 in x 1.763 * [backup-simplify]: Simplify 2 into 2 1.763 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.763 * [taylor]: Taking taylor expansion of y in x 1.763 * [backup-simplify]: Simplify y into y 1.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.763 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.763 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 1.763 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.763 * [taylor]: Taking taylor expansion of 2 in y 1.763 * [backup-simplify]: Simplify 2 into 2 1.764 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.764 * [taylor]: Taking taylor expansion of y in y 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.765 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.765 * [backup-simplify]: Simplify (+ 0 0) into 0 1.765 * [taylor]: Taking taylor expansion of 0 in y 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.768 * [backup-simplify]: Simplify (* 1 1) into 1 1.768 * [backup-simplify]: Simplify (+ 0 1) into 1 1.768 * [taylor]: Taking taylor expansion of 1 in y 1.768 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (* 1 1) into 1 1.769 * [backup-simplify]: Simplify (* 2 1) into 2 1.769 * [backup-simplify]: Simplify 2 into 2 1.770 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.771 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.773 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [taylor]: Taking taylor expansion of 0 in y 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.774 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.776 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [taylor]: Taking taylor expansion of 0 in y 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 1.778 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y)))))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.778 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 1.778 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.778 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.778 * [taylor]: Taking taylor expansion of 2 in y 1.778 * [backup-simplify]: Simplify 2 into 2 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.778 * [taylor]: Taking taylor expansion of y in y 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (/ 1 1) into 1 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.778 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.778 * [taylor]: Taking taylor expansion of x in y 1.778 * [backup-simplify]: Simplify x into x 1.779 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.779 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.779 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.779 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.779 * [taylor]: Taking taylor expansion of 2 in x 1.779 * [backup-simplify]: Simplify 2 into 2 1.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.779 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.779 * [taylor]: Taking taylor expansion of y in x 1.779 * [backup-simplify]: Simplify y into y 1.779 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (* 1 1) into 1 1.779 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.780 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.780 * [taylor]: Taking taylor expansion of 2 in x 1.780 * [backup-simplify]: Simplify 2 into 2 1.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.780 * [taylor]: Taking taylor expansion of y in x 1.780 * [backup-simplify]: Simplify y into y 1.780 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.780 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (* 1 1) into 1 1.780 * [backup-simplify]: Simplify (/ 1 1) into 1 1.781 * [backup-simplify]: Simplify (+ 0 1) into 1 1.781 * [taylor]: Taking taylor expansion of 1 in y 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [taylor]: Taking taylor expansion of 0 in y 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 1.783 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.783 * [taylor]: Taking taylor expansion of 2 in y 1.783 * [backup-simplify]: Simplify 2 into 2 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [backup-simplify]: Simplify (* 2 1) into 2 1.784 * [backup-simplify]: Simplify 2 into 2 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.785 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [taylor]: Taking taylor expansion of 0 in y 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.790 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.791 * [taylor]: Taking taylor expansion of 0 in y 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [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)) 1.794 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y))))))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.794 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 1.794 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.794 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.794 * [taylor]: Taking taylor expansion of 2 in y 1.794 * [backup-simplify]: Simplify 2 into 2 1.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.794 * [taylor]: Taking taylor expansion of y in y 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (* 1 1) into 1 1.795 * [backup-simplify]: Simplify (/ 1 1) into 1 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.795 * [taylor]: Taking taylor expansion of x in y 1.795 * [backup-simplify]: Simplify x into x 1.795 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.795 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.795 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.795 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.795 * [taylor]: Taking taylor expansion of 2 in x 1.795 * [backup-simplify]: Simplify 2 into 2 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.795 * [taylor]: Taking taylor expansion of y in x 1.795 * [backup-simplify]: Simplify y into y 1.795 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.795 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (* 1 1) into 1 1.796 * [backup-simplify]: Simplify (/ 1 1) into 1 1.796 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.796 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.796 * [taylor]: Taking taylor expansion of 2 in x 1.796 * [backup-simplify]: Simplify 2 into 2 1.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.796 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [backup-simplify]: Simplify y into y 1.796 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.796 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (* 1 1) into 1 1.796 * [backup-simplify]: Simplify (/ 1 1) into 1 1.797 * [backup-simplify]: Simplify (+ 0 1) into 1 1.797 * [taylor]: Taking taylor expansion of 1 in y 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [taylor]: Taking taylor expansion of 0 in y 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 1.799 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.799 * [taylor]: Taking taylor expansion of 2 in y 1.799 * [backup-simplify]: Simplify 2 into 2 1.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.799 * [taylor]: Taking taylor expansion of y in y 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 1 into 1 1.799 * [backup-simplify]: Simplify (* 1 1) into 1 1.800 * [backup-simplify]: Simplify (/ 1 1) into 1 1.800 * [backup-simplify]: Simplify (* 2 1) into 2 1.800 * [backup-simplify]: Simplify 2 into 2 1.800 * [backup-simplify]: Simplify 1 into 1 1.800 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.801 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [taylor]: Taking taylor expansion of 0 in y 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.805 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [taylor]: Taking taylor expansion of 0 in y 1.806 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.809 * [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)) 1.809 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.809 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y)) into (+ (* 3 (pow y 2)) (pow x 2)) 1.809 * [approximate]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in (x y) around 0 1.809 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 1.809 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.809 * [taylor]: Taking taylor expansion of 3 in y 1.809 * [backup-simplify]: Simplify 3 into 3 1.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.809 * [taylor]: Taking taylor expansion of y in y 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.809 * [taylor]: Taking taylor expansion of x in y 1.809 * [backup-simplify]: Simplify x into x 1.809 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 1.809 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.809 * [taylor]: Taking taylor expansion of 3 in x 1.809 * [backup-simplify]: Simplify 3 into 3 1.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.809 * [backup-simplify]: Simplify y into y 1.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 1.810 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.810 * [taylor]: Taking taylor expansion of 3 in x 1.810 * [backup-simplify]: Simplify 3 into 3 1.810 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.810 * [taylor]: Taking taylor expansion of y in x 1.810 * [backup-simplify]: Simplify y into y 1.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.810 * [taylor]: Taking taylor expansion of x in x 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.810 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 1.810 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 1.810 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.810 * [taylor]: Taking taylor expansion of 3 in y 1.810 * [backup-simplify]: Simplify 3 into 3 1.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.810 * [taylor]: Taking taylor expansion of y in y 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.811 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [taylor]: Taking taylor expansion of 0 in y 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.813 * [backup-simplify]: Simplify (* 1 1) into 1 1.813 * [backup-simplify]: Simplify (+ 0 1) into 1 1.814 * [taylor]: Taking taylor expansion of 1 in y 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (* 1 1) into 1 1.815 * [backup-simplify]: Simplify (* 3 1) into 3 1.815 * [backup-simplify]: Simplify 3 into 3 1.815 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.817 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [taylor]: Taking taylor expansion of 0 in y 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.819 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.822 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [taylor]: Taking taylor expansion of 0 in y 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 1.825 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y)))))) (* (/ 1 y) (/ 1 y))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.825 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 1.825 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.825 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.825 * [taylor]: Taking taylor expansion of 3 in y 1.825 * [backup-simplify]: Simplify 3 into 3 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.826 * [taylor]: Taking taylor expansion of y in y 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.827 * [backup-simplify]: Simplify (/ 1 1) into 1 1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.827 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.827 * [taylor]: Taking taylor expansion of x in y 1.827 * [backup-simplify]: Simplify x into x 1.827 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.827 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.827 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.827 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.827 * [taylor]: Taking taylor expansion of 3 in x 1.827 * [backup-simplify]: Simplify 3 into 3 1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.827 * [taylor]: Taking taylor expansion of y in x 1.827 * [backup-simplify]: Simplify y into y 1.827 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.828 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.828 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (* 1 1) into 1 1.829 * [backup-simplify]: Simplify (/ 1 1) into 1 1.829 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.829 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.829 * [taylor]: Taking taylor expansion of 3 in x 1.829 * [backup-simplify]: Simplify 3 into 3 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.829 * [taylor]: Taking taylor expansion of y in x 1.829 * [backup-simplify]: Simplify y into y 1.829 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.829 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (* 1 1) into 1 1.831 * [backup-simplify]: Simplify (/ 1 1) into 1 1.831 * [backup-simplify]: Simplify (+ 0 1) into 1 1.831 * [taylor]: Taking taylor expansion of 1 in y 1.831 * [backup-simplify]: Simplify 1 into 1 1.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [taylor]: Taking taylor expansion of 0 in y 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 1.836 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.836 * [taylor]: Taking taylor expansion of 3 in y 1.836 * [backup-simplify]: Simplify 3 into 3 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.836 * [taylor]: Taking taylor expansion of y in y 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (* 1 1) into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.838 * [backup-simplify]: Simplify (* 3 1) into 3 1.838 * [backup-simplify]: Simplify 3 into 3 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 1.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [taylor]: Taking taylor expansion of 0 in y 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.844 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [taylor]: Taking taylor expansion of 0 in y 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [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)) 1.848 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y))))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 1.849 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 1.849 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.849 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.849 * [taylor]: Taking taylor expansion of 3 in y 1.849 * [backup-simplify]: Simplify 3 into 3 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.849 * [taylor]: Taking taylor expansion of y in y 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (* 1 1) into 1 1.849 * [backup-simplify]: Simplify (/ 1 1) into 1 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.849 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.849 * [taylor]: Taking taylor expansion of x in y 1.849 * [backup-simplify]: Simplify x into x 1.849 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.849 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.849 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.849 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.849 * [taylor]: Taking taylor expansion of 3 in x 1.849 * [backup-simplify]: Simplify 3 into 3 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.849 * [taylor]: Taking taylor expansion of y in x 1.849 * [backup-simplify]: Simplify y into y 1.850 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.850 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (* 1 1) into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.850 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.850 * [taylor]: Taking taylor expansion of 3 in x 1.850 * [backup-simplify]: Simplify 3 into 3 1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.850 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.850 * [taylor]: Taking taylor expansion of y in x 1.850 * [backup-simplify]: Simplify y into y 1.850 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.850 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (* 1 1) into 1 1.851 * [backup-simplify]: Simplify (/ 1 1) into 1 1.851 * [backup-simplify]: Simplify (+ 0 1) into 1 1.851 * [taylor]: Taking taylor expansion of 1 in y 1.851 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [taylor]: Taking taylor expansion of 0 in y 1.852 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 1.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 1.854 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.854 * [taylor]: Taking taylor expansion of 3 in y 1.854 * [backup-simplify]: Simplify 3 into 3 1.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.854 * [taylor]: Taking taylor expansion of y in y 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (* 1 1) into 1 1.854 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [backup-simplify]: Simplify (* 3 1) into 3 1.855 * [backup-simplify]: Simplify 3 into 3 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.855 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [taylor]: Taking taylor expansion of 0 in y 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [taylor]: Taking taylor expansion of 0 in y 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [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)) 1.863 * * * [progress]: simplifying candidates 1.864 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y (+ y y))))) (exp (sqrt (+ (* x x) (* y (+ y y))))) (* (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (cbrt (sqrt (+ (* x x) (* y (+ y y)))))) (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (* (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (* (cbrt (+ (* x x) (* y (+ y y)))) (cbrt (+ (* x x) (* y (+ y y)))))) (sqrt (cbrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt 1) (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y (+ y y)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y y)) (* y (+ y y))) (* (* x x) (* y (+ y y)))))) (sqrt (- (* (* x x) (* x x)) (* (* y (+ y y)) (* y (+ y y))))) (sqrt (- (* x x) (* y (+ y y)))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (log (sqrt (+ (* x x) (* y (+ y y))))) (exp (sqrt (+ (* x x) (* y (+ y y))))) (* (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (cbrt (sqrt (+ (* x x) (* y (+ y y)))))) (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (* (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (* (cbrt (+ (* x x) (* y (+ y y)))) (cbrt (+ (* x x) (* y (+ y y)))))) (sqrt (cbrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt 1) (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y (+ y y)) 3))) (sqrt (+ (* (* x 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y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (sqrt (+ (* x x) (* y (+ y y)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y (+ y y)))) (* (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (cbrt (sqrt (+ (* x x) (* y (+ y y))))))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (* (cbrt (+ (* x x) (* y (+ y y)))) (cbrt (+ (* x x) (* y (+ y y))))))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt 1)) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (sqrt (+ (* x x) (* y (+ y y)))))) (* (sqrt (+ (* x x) (* y (+ y y)))) 1) (* (cbrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y))))) (* (sqrt (cbrt (+ (* x x) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y))))) (* (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y))))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* (sqrt (sqrt (+ (* x x) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y))))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y (+ y y)) 3)))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y (+ y y)) (* y (+ y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y (+ y y)) 3))) (sqrt (+ (* x x) (* y (+ y y))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y (+ y y)) (* y (+ y y))))) (sqrt (+ (* x x) (* y (+ y y))))) (* (exp (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (exp (* y y))) (log (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))) (exp (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))) (* (cbrt (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))) (cbrt (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y)))) (cbrt (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))) (* (* (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y)) (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))) (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))) (sqrt (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))) (sqrt (+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))) (+ (pow (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) 3) (pow (* y y) 3)) (+ (* (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y)))) (- (* (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))) (* (* y y) (* y y))) (- (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) 1.866 * * [simplify]: iteration 0: 112 enodes 1.913 * * [simplify]: iteration 1: 309 enodes 2.132 * * [simplify]: iteration 2: 1778 enodes 2.880 * * [simplify]: iteration complete: 5000 enodes 2.880 * * [simplify]: Extracting #0: cost 50 inf + 0 2.881 * * [simplify]: Extracting #1: cost 584 inf + 4 2.886 * * [simplify]: Extracting #2: cost 1478 inf + 45 2.892 * * [simplify]: Extracting #3: cost 1450 inf + 2881 2.905 * * [simplify]: Extracting #4: cost 524 inf + 15303 2.911 * * [simplify]: Extracting #5: cost 101 inf + 22697 2.917 * * [simplify]: Extracting #6: cost 8 inf + 24086 2.923 * * [simplify]: Extracting #7: cost 0 inf + 24146 2.930 * [simplify]: Simplified to: (log (sqrt (+ (* 2 (* y y)) (* x x)))) (exp (sqrt (+ (* 2 (* y y)) (* x x)))) (* (cbrt (sqrt (+ (* 2 (* y y)) (* x x)))) (cbrt (sqrt (+ (* 2 (* y y)) (* x x))))) (cbrt (sqrt (+ (* 2 (* y y)) (* x x)))) (pow (sqrt (+ (* 2 (* y y)) (* x x))) 3) (fabs (cbrt (+ (* 2 (* y y)) (* x x)))) (sqrt (cbrt (+ (* 2 (* y y)) (* x x)))) (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) 1 (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (pow (* 2 (* y y)) 3) (pow x 6))) (sqrt (+ (pow x 4) (* (* 2 (* y y)) (- (* 2 (* y y)) (* x x))))) (sqrt (- (pow x 4) (* 4 (pow y 4)))) (sqrt (- (* x x) (* 2 (* y y)))) 1/2 (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) (log (sqrt (+ (* 2 (* y y)) (* x x)))) (exp (sqrt (+ (* 2 (* y y)) (* x x)))) (* (cbrt (sqrt (+ (* 2 (* y y)) (* x x)))) (cbrt (sqrt (+ (* 2 (* y y)) (* x x))))) (cbrt (sqrt (+ (* 2 (* y y)) (* x x)))) (pow (sqrt (+ (* 2 (* y y)) (* x x))) 3) (fabs (cbrt (+ (* 2 (* y y)) (* x x)))) (sqrt (cbrt (+ (* 2 (* y y)) (* x x)))) (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) 1 (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (pow (* 2 (* y y)) 3) (pow x 6))) (sqrt (+ (pow x 4) (* (* 2 (* y y)) (- (* 2 (* y y)) (* x x))))) (sqrt (- (pow x 4) (* 4 (pow y 4)))) (sqrt (- (* x x) (* 2 (* y y)))) 1/2 (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) 1 1 2 1 1 (pow (sqrt (+ (* 2 (* y y)) (* x x))) (+ 3 1)) (+ (* 2 (* y y)) (* x x)) (pow (sqrt (+ (* 2 (* y y)) (* x x))) (+ 3 1)) 2 (log (+ (* 2 (* y y)) (* x x))) (log (+ (* 2 (* y y)) (* x x))) (exp (+ (* 2 (* y y)) (* x x))) (pow (+ (* 2 (* y y)) (* x x)) 3) (* (cbrt (+ (* 2 (* y y)) (* x x))) (cbrt (+ (* 2 (* y y)) (* x x)))) (cbrt (+ (* 2 (* y y)) (* x x))) (pow (+ (* 2 (* y y)) (* x x)) 3) (pow (sqrt (+ (* 2 (* y y)) (* x x))) (+ 3 1)) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (+ (pow (* 2 (* y y)) 3) (pow x 6)) (+ (pow x 4) (* (* 2 (* y y)) (- (* 2 (* y y)) (* x x)))) (* (sqrt (+ (pow (* 2 (* y y)) 3) (pow x 6))) (sqrt (- (pow x 4) (* 4 (pow y 4))))) (* (sqrt (- (* x x) (* 2 (* y y)))) (sqrt (+ (pow x 4) (* (* 2 (* y y)) (- (* 2 (* y y)) (* x x)))))) (* (sqrt (+ (pow (* 2 (* y y)) 3) (pow x 6))) (sqrt (- (pow x 4) (* 4 (pow y 4))))) (* (sqrt (- (* x x) (* 2 (* y y)))) (sqrt (+ (pow x 4) (* (* 2 (* y y)) (- (* 2 (* y y)) (* x x)))))) (- (pow x 4) (* 4 (pow y 4))) (- (* x x) (* 2 (* y y))) (pow (cbrt (sqrt (+ (* 2 (* y y)) (* x x)))) (+ 3 1)) (* (cbrt (sqrt (+ (* 2 (* y y)) (* x x)))) (cbrt (sqrt (+ (* 2 (* y y)) (* x x))))) (* (cbrt (+ (* 2 (* y y)) (* x x))) (cbrt (+ (* 2 (* y y)) (* x x)))) (cbrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) 1 (+ (* 2 (* y y)) (* x x)) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) 1 (+ (* 2 (* y y)) (* x x)) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (+ (* 2 (* y y)) (* x x))) 1 2 1 (* (cbrt (sqrt (+ (* 2 (* y y)) (* x x)))) (pow (cbrt (sqrt (+ (* 2 (* y y)) (* x x)))) (+ 3 1))) (* (fabs (cbrt (+ (* 2 (* y y)) (* x x)))) (sqrt (+ (* 2 (* y y)) (* x x)))) (pow (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) 3) (sqrt (+ (* 2 (* y y)) (* x x))) (pow (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) 3) (sqrt (+ (* 2 (* y y)) (* x x))) (pow (cbrt (sqrt (+ (* 2 (* y y)) (* x x)))) (+ 3 1)) (* (sqrt (cbrt (+ (* 2 (* y y)) (* x x)))) (sqrt (+ (* 2 (* y y)) (* x x)))) (pow (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) 3) (+ (* 2 (* y y)) (* x x)) (pow (sqrt (sqrt (+ (* 2 (* y y)) (* x x)))) 3) (+ (* 2 (* y y)) (* x x)) (* (sqrt (+ (pow (* 2 (* y y)) 3) (pow x 6))) (sqrt (+ (* 2 (* y y)) (* x x)))) (* (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (- (pow x 4) (* 4 (pow y 4))))) (* (sqrt (+ (pow (* 2 (* y y)) 3) (pow x 6))) (sqrt (+ (* 2 (* y y)) (* x x)))) (* (sqrt (+ (* 2 (* y y)) (* x x))) (sqrt (- (pow x 4) (* 4 (pow y 4))))) (exp (+ (* 2 (* y y)) (+ (* x x) (* y y)))) (log (+ (+ (* y y) (* x x)) (* 2 (* y y)))) (exp (+ (* 2 (* y y)) (+ (* x x) (* y y)))) (* (cbrt (+ (+ (* y y) (* x x)) (* 2 (* y y)))) (cbrt (+ (+ (* y y) (* x x)) (* 2 (* y y))))) (cbrt (+ (+ (* y y) (* x x)) (* 2 (* y y)))) (pow (+ (+ (* y y) (* x x)) (* 2 (* y y))) 3) (sqrt (+ (+ (* y y) (* x x)) (* 2 (* y y)))) (sqrt (+ (+ (* y y) (* x x)) (* 2 (* y y)))) (+ (pow (+ (* 2 (* y y)) (* x x)) 3) (pow y 6)) (+ (pow (sqrt (+ (* 2 (* y y)) (* x x))) (+ 3 1)) (* (- (- (* y y) (* 2 (* y y))) (* x x)) (* y y))) (- (pow (sqrt (+ (* 2 (* y y)) (* x x))) (+ 3 1)) (pow y 4)) (+ (* x x) (- (* 2 (* y y)) (* y y))) (* (sqrt 2) y) x (- x) (* (sqrt 2) y) x (- x) (+ (* 2 (* y y)) (* x x)) (+ (* 2 (* y y)) (* x x)) (+ (* 2 (* y y)) (* x x)) (+ (* x x) (* (* y y) 3)) (+ (* x x) (* (* y y) 3)) (+ (* x x) (* (* y y) 3)) 2.931 * * * [progress]: adding candidates to table 3.374 * * [progress]: iteration 3 / 4 3.374 * * * [progress]: picking best candidate 3.434 * * * * [pick]: Picked # 3.434 * * * [progress]: localizing error 3.457 * * * [progress]: generating rewritten candidates 3.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.494 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.535 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.672 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.698 * * * [progress]: generating series expansions 3.698 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.698 * [backup-simplify]: Simplify (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))) into (sqrt (+ (* 3 (pow y 2)) (pow x 2))) 3.698 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in (y x) around 0 3.698 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in x 3.698 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 3.698 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.698 * [taylor]: Taking taylor expansion of 3 in x 3.698 * [backup-simplify]: Simplify 3 into 3 3.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.698 * [taylor]: Taking taylor expansion of y in x 3.698 * [backup-simplify]: Simplify y into y 3.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.698 * [taylor]: Taking taylor expansion of x in x 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.699 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 3.699 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 3.699 * [backup-simplify]: Simplify (sqrt (* 3 (pow y 2))) into (* y (sqrt 3)) 3.699 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.700 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 3.701 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 3 (pow y 2))))) into 0 3.701 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 3.701 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 3.701 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.701 * [taylor]: Taking taylor expansion of 3 in y 3.701 * [backup-simplify]: Simplify 3 into 3 3.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.701 * [taylor]: Taking taylor expansion of y in y 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.701 * [taylor]: Taking taylor expansion of x in y 3.701 * [backup-simplify]: Simplify x into x 3.701 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.701 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.701 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.702 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.702 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 3.702 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 3.702 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.702 * [taylor]: Taking taylor expansion of 3 in y 3.702 * [backup-simplify]: Simplify 3 into 3 3.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.702 * [taylor]: Taking taylor expansion of y in y 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify 1 into 1 3.702 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.702 * [taylor]: Taking taylor expansion of x in y 3.702 * [backup-simplify]: Simplify x into x 3.702 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.703 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.703 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.703 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.704 * [taylor]: Taking taylor expansion of x in x 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [taylor]: Taking taylor expansion of 0 in x 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.705 * [backup-simplify]: Simplify (* 3 1) into 3 3.705 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.705 * [backup-simplify]: Simplify (+ 3 0) into 3 3.706 * [backup-simplify]: Simplify (/ (- 3 (pow 0 2) (+)) (* 2 x)) into (/ 3/2 x) 3.706 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 3.706 * [taylor]: Taking taylor expansion of 3/2 in x 3.706 * [backup-simplify]: Simplify 3/2 into 3/2 3.706 * [taylor]: Taking taylor expansion of x in x 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 3.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.709 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.710 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.710 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 x))))) (* 2 x)) into 0 3.711 * [taylor]: Taking taylor expansion of 0 in x 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 3.712 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y)))))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3.712 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 3.712 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 3.712 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.712 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.712 * [taylor]: Taking taylor expansion of 3 in x 3.712 * [backup-simplify]: Simplify 3 into 3 3.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.712 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.712 * [taylor]: Taking taylor expansion of y in x 3.712 * [backup-simplify]: Simplify y into y 3.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.713 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.713 * [taylor]: Taking taylor expansion of x in x 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (* 1 1) into 1 3.714 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [backup-simplify]: Simplify (+ 0 1) into 1 3.714 * [backup-simplify]: Simplify (sqrt 1) into 1 3.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ 0 0) into 0 3.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.719 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 3.719 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.719 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.719 * [taylor]: Taking taylor expansion of 3 in y 3.719 * [backup-simplify]: Simplify 3 into 3 3.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.719 * [taylor]: Taking taylor expansion of y in y 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (* 1 1) into 1 3.720 * [backup-simplify]: Simplify (/ 1 1) into 1 3.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.720 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.720 * [taylor]: Taking taylor expansion of x in y 3.720 * [backup-simplify]: Simplify x into x 3.720 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.720 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.720 * [backup-simplify]: Simplify (* 3 1) into 3 3.721 * [backup-simplify]: Simplify (+ 3 0) into 3 3.721 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.723 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.723 * [backup-simplify]: Simplify (+ 0 0) into 0 3.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.724 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 3.724 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.724 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.724 * [taylor]: Taking taylor expansion of 3 in y 3.724 * [backup-simplify]: Simplify 3 into 3 3.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.724 * [taylor]: Taking taylor expansion of y in y 3.724 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (* 1 1) into 1 3.725 * [backup-simplify]: Simplify (/ 1 1) into 1 3.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.725 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.725 * [taylor]: Taking taylor expansion of x in y 3.725 * [backup-simplify]: Simplify x into x 3.725 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.725 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.726 * [backup-simplify]: Simplify (* 3 1) into 3 3.726 * [backup-simplify]: Simplify (+ 3 0) into 3 3.727 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.729 * [backup-simplify]: Simplify (+ 0 0) into 0 3.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.730 * [taylor]: Taking taylor expansion of (sqrt 3) in x 3.730 * [taylor]: Taking taylor expansion of 3 in x 3.730 * [backup-simplify]: Simplify 3 into 3 3.730 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.731 * [taylor]: Taking taylor expansion of 0 in x 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.734 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.735 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.736 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 3.736 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 3.736 * [taylor]: Taking taylor expansion of 1/2 in x 3.736 * [backup-simplify]: Simplify 1/2 into 1/2 3.737 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 3.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.737 * [taylor]: Taking taylor expansion of x in x 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.737 * [taylor]: Taking taylor expansion of (sqrt 3) in x 3.737 * [taylor]: Taking taylor expansion of 3 in x 3.737 * [backup-simplify]: Simplify 3 into 3 3.737 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.738 * [backup-simplify]: Simplify (* 1 1) into 1 3.739 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 3.740 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 3.743 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 3.743 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 3.746 * [taylor]: Taking taylor expansion of 0 in x 3.746 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 3.749 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 y)))) into (* y (sqrt 3)) 3.750 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3.750 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 3.750 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 3.750 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.750 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.750 * [taylor]: Taking taylor expansion of 3 in x 3.750 * [backup-simplify]: Simplify 3 into 3 3.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.750 * [taylor]: Taking taylor expansion of y in x 3.750 * [backup-simplify]: Simplify y into y 3.750 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.750 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.751 * [taylor]: Taking taylor expansion of x in x 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (* 1 1) into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.751 * [backup-simplify]: Simplify (+ 0 1) into 1 3.752 * [backup-simplify]: Simplify (sqrt 1) into 1 3.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.753 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 3.753 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.753 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.753 * [taylor]: Taking taylor expansion of 3 in y 3.753 * [backup-simplify]: Simplify 3 into 3 3.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.753 * [taylor]: Taking taylor expansion of y in y 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [backup-simplify]: Simplify (* 1 1) into 1 3.754 * [backup-simplify]: Simplify (/ 1 1) into 1 3.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.754 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.754 * [taylor]: Taking taylor expansion of x in y 3.754 * [backup-simplify]: Simplify x into x 3.754 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.754 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.754 * [backup-simplify]: Simplify (* 3 1) into 3 3.754 * [backup-simplify]: Simplify (+ 3 0) into 3 3.755 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.756 * [backup-simplify]: Simplify (+ 0 0) into 0 3.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.756 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 3.757 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.757 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.757 * [taylor]: Taking taylor expansion of 3 in y 3.757 * [backup-simplify]: Simplify 3 into 3 3.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.757 * [taylor]: Taking taylor expansion of y in y 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify 1 into 1 3.757 * [backup-simplify]: Simplify (* 1 1) into 1 3.757 * [backup-simplify]: Simplify (/ 1 1) into 1 3.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.757 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.757 * [taylor]: Taking taylor expansion of x in y 3.757 * [backup-simplify]: Simplify x into x 3.757 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.758 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.758 * [backup-simplify]: Simplify (* 3 1) into 3 3.758 * [backup-simplify]: Simplify (+ 3 0) into 3 3.758 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.760 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.760 * [taylor]: Taking taylor expansion of (sqrt 3) in x 3.760 * [taylor]: Taking taylor expansion of 3 in x 3.760 * [backup-simplify]: Simplify 3 into 3 3.761 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.761 * [taylor]: Taking taylor expansion of 0 in x 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.763 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.763 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.764 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 3.764 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 3.764 * [taylor]: Taking taylor expansion of 1/2 in x 3.764 * [backup-simplify]: Simplify 1/2 into 1/2 3.764 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 3.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.764 * [taylor]: Taking taylor expansion of x in x 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [taylor]: Taking taylor expansion of (sqrt 3) in x 3.764 * [taylor]: Taking taylor expansion of 3 in x 3.764 * [backup-simplify]: Simplify 3 into 3 3.765 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.765 * [backup-simplify]: Simplify (* 1 1) into 1 3.766 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 3.766 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 3.768 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.771 * [backup-simplify]: Simplify (+ 0 0) into 0 3.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 3.772 * [taylor]: Taking taylor expansion of 0 in x 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 3.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 3.775 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 (- y))))) into (* -1 (* y (sqrt 3))) 3.776 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.776 * [backup-simplify]: Simplify (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))) into (sqrt (+ (* 3 (pow y 2)) (pow x 2))) 3.776 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in (y x) around 0 3.776 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in x 3.776 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 3.776 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.776 * [taylor]: Taking taylor expansion of 3 in x 3.776 * [backup-simplify]: Simplify 3 into 3 3.776 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.776 * [taylor]: Taking taylor expansion of y in x 3.776 * [backup-simplify]: Simplify y into y 3.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.776 * [taylor]: Taking taylor expansion of x in x 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.777 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 3.777 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 3.777 * [backup-simplify]: Simplify (sqrt (* 3 (pow y 2))) into (* y (sqrt 3)) 3.777 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.777 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 3.777 * [backup-simplify]: Simplify (+ 0 0) into 0 3.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 3 (pow y 2))))) into 0 3.778 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 3.778 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 3.778 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.778 * [taylor]: Taking taylor expansion of 3 in y 3.778 * [backup-simplify]: Simplify 3 into 3 3.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.778 * [taylor]: Taking taylor expansion of y in y 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.778 * [taylor]: Taking taylor expansion of x in y 3.778 * [backup-simplify]: Simplify x into x 3.778 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.778 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.778 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.778 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.778 * [backup-simplify]: Simplify (+ 0 0) into 0 3.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.778 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 3.778 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 3.778 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.778 * [taylor]: Taking taylor expansion of 3 in y 3.779 * [backup-simplify]: Simplify 3 into 3 3.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.779 * [taylor]: Taking taylor expansion of y in y 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.779 * [taylor]: Taking taylor expansion of x in y 3.779 * [backup-simplify]: Simplify x into x 3.779 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.779 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.779 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.779 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.779 * [backup-simplify]: Simplify (+ 0 0) into 0 3.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.779 * [taylor]: Taking taylor expansion of x in x 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [taylor]: Taking taylor expansion of 0 in x 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (* 1 1) into 1 3.780 * [backup-simplify]: Simplify (* 3 1) into 3 3.780 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.781 * [backup-simplify]: Simplify (+ 3 0) into 3 3.781 * [backup-simplify]: Simplify (/ (- 3 (pow 0 2) (+)) (* 2 x)) into (/ 3/2 x) 3.781 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 3.781 * [taylor]: Taking taylor expansion of 3/2 in x 3.781 * [backup-simplify]: Simplify 3/2 into 3/2 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 3.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.783 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.783 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 x))))) (* 2 x)) into 0 3.784 * [taylor]: Taking taylor expansion of 0 in x 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 3.785 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y)))))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3.785 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 3.785 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 3.785 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.785 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.785 * [taylor]: Taking taylor expansion of 3 in x 3.785 * [backup-simplify]: Simplify 3 into 3 3.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.785 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.785 * [taylor]: Taking taylor expansion of y in x 3.785 * [backup-simplify]: Simplify y into y 3.785 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.785 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.785 * [taylor]: Taking taylor expansion of x in x 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (* 1 1) into 1 3.786 * [backup-simplify]: Simplify (/ 1 1) into 1 3.786 * [backup-simplify]: Simplify (+ 0 1) into 1 3.786 * [backup-simplify]: Simplify (sqrt 1) into 1 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.788 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 3.788 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.788 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.788 * [taylor]: Taking taylor expansion of 3 in y 3.788 * [backup-simplify]: Simplify 3 into 3 3.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.788 * [taylor]: Taking taylor expansion of y in y 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.788 * [backup-simplify]: Simplify (* 1 1) into 1 3.788 * [backup-simplify]: Simplify (/ 1 1) into 1 3.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.788 * [taylor]: Taking taylor expansion of x in y 3.788 * [backup-simplify]: Simplify x into x 3.788 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.789 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.789 * [backup-simplify]: Simplify (* 3 1) into 3 3.789 * [backup-simplify]: Simplify (+ 3 0) into 3 3.789 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.792 * [backup-simplify]: Simplify (+ 0 0) into 0 3.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.792 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 3.792 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.792 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.792 * [taylor]: Taking taylor expansion of 3 in y 3.792 * [backup-simplify]: Simplify 3 into 3 3.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.792 * [taylor]: Taking taylor expansion of y in y 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [backup-simplify]: Simplify (* 1 1) into 1 3.793 * [backup-simplify]: Simplify (/ 1 1) into 1 3.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.793 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.793 * [taylor]: Taking taylor expansion of x in y 3.793 * [backup-simplify]: Simplify x into x 3.793 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.793 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.793 * [backup-simplify]: Simplify (* 3 1) into 3 3.794 * [backup-simplify]: Simplify (+ 3 0) into 3 3.794 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.796 * [backup-simplify]: Simplify (+ 0 0) into 0 3.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.796 * [taylor]: Taking taylor expansion of (sqrt 3) in x 3.796 * [taylor]: Taking taylor expansion of 3 in x 3.796 * [backup-simplify]: Simplify 3 into 3 3.796 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.797 * [taylor]: Taking taylor expansion of 0 in x 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.799 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.800 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 3.800 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 3.800 * [taylor]: Taking taylor expansion of 1/2 in x 3.800 * [backup-simplify]: Simplify 1/2 into 1/2 3.800 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 3.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.800 * [taylor]: Taking taylor expansion of x in x 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.800 * [taylor]: Taking taylor expansion of (sqrt 3) in x 3.800 * [taylor]: Taking taylor expansion of 3 in x 3.800 * [backup-simplify]: Simplify 3 into 3 3.800 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.801 * [backup-simplify]: Simplify (* 1 1) into 1 3.802 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 3.802 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 3.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 3.804 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.806 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.806 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 3.807 * [taylor]: Taking taylor expansion of 0 in x 3.807 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 3.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 3.810 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 3.810 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 y)))) into (* y (sqrt 3)) 3.811 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 3.811 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 3.811 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 3.811 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.811 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.811 * [taylor]: Taking taylor expansion of 3 in x 3.811 * [backup-simplify]: Simplify 3 into 3 3.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.811 * [taylor]: Taking taylor expansion of y in x 3.811 * [backup-simplify]: Simplify y into y 3.811 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.812 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.812 * [taylor]: Taking taylor expansion of x in x 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify (* 1 1) into 1 3.812 * [backup-simplify]: Simplify (/ 1 1) into 1 3.812 * [backup-simplify]: Simplify (+ 0 1) into 1 3.813 * [backup-simplify]: Simplify (sqrt 1) into 1 3.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.814 * [backup-simplify]: Simplify (+ 0 0) into 0 3.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.814 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 3.814 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.814 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.814 * [taylor]: Taking taylor expansion of 3 in y 3.814 * [backup-simplify]: Simplify 3 into 3 3.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.814 * [taylor]: Taking taylor expansion of y in y 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify 1 into 1 3.814 * [backup-simplify]: Simplify (* 1 1) into 1 3.815 * [backup-simplify]: Simplify (/ 1 1) into 1 3.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.815 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.815 * [taylor]: Taking taylor expansion of x in y 3.815 * [backup-simplify]: Simplify x into x 3.815 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.815 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.815 * [backup-simplify]: Simplify (* 3 1) into 3 3.816 * [backup-simplify]: Simplify (+ 3 0) into 3 3.816 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.819 * [backup-simplify]: Simplify (+ 0 0) into 0 3.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.819 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 3.819 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.819 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.819 * [taylor]: Taking taylor expansion of 3 in y 3.820 * [backup-simplify]: Simplify 3 into 3 3.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.820 * [taylor]: Taking taylor expansion of y in y 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [backup-simplify]: Simplify (* 1 1) into 1 3.820 * [backup-simplify]: Simplify (/ 1 1) into 1 3.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.820 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.820 * [taylor]: Taking taylor expansion of x in y 3.820 * [backup-simplify]: Simplify x into x 3.820 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.820 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.821 * [backup-simplify]: Simplify (* 3 1) into 3 3.821 * [backup-simplify]: Simplify (+ 3 0) into 3 3.821 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.822 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.823 * [backup-simplify]: Simplify (+ 0 0) into 0 3.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.823 * [taylor]: Taking taylor expansion of (sqrt 3) in x 3.823 * [taylor]: Taking taylor expansion of 3 in x 3.823 * [backup-simplify]: Simplify 3 into 3 3.823 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.824 * [taylor]: Taking taylor expansion of 0 in x 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.826 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.826 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 3.827 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 3.827 * [taylor]: Taking taylor expansion of 1/2 in x 3.827 * [backup-simplify]: Simplify 1/2 into 1/2 3.827 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 3.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.827 * [taylor]: Taking taylor expansion of x in x 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 1 into 1 3.827 * [taylor]: Taking taylor expansion of (sqrt 3) in x 3.827 * [taylor]: Taking taylor expansion of 3 in x 3.827 * [backup-simplify]: Simplify 3 into 3 3.827 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 3.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 3.828 * [backup-simplify]: Simplify (* 1 1) into 1 3.829 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 3.829 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 3.831 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.832 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.833 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.833 * [backup-simplify]: Simplify (+ 0 0) into 0 3.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 3.834 * [taylor]: Taking taylor expansion of 0 in x 3.834 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 3.837 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 (- y))))) into (* -1 (* y (sqrt 3))) 3.838 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.838 * [backup-simplify]: Simplify (* (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))) (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.838 * [approximate]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in (y x) around 0 3.838 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 3.838 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.838 * [taylor]: Taking taylor expansion of 3 in x 3.838 * [backup-simplify]: Simplify 3 into 3 3.838 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.838 * [taylor]: Taking taylor expansion of y in x 3.838 * [backup-simplify]: Simplify y into y 3.838 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.838 * [taylor]: Taking taylor expansion of x in x 3.838 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 3.839 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.839 * [taylor]: Taking taylor expansion of 3 in y 3.839 * [backup-simplify]: Simplify 3 into 3 3.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.839 * [taylor]: Taking taylor expansion of y in y 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.839 * [taylor]: Taking taylor expansion of x in y 3.839 * [backup-simplify]: Simplify x into x 3.839 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 3.839 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.839 * [taylor]: Taking taylor expansion of 3 in y 3.839 * [backup-simplify]: Simplify 3 into 3 3.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.839 * [taylor]: Taking taylor expansion of y in y 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.839 * [taylor]: Taking taylor expansion of x in y 3.839 * [backup-simplify]: Simplify x into x 3.839 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.839 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.839 * [taylor]: Taking taylor expansion of x in x 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.839 * [backup-simplify]: Simplify (+ 0 0) into 0 3.839 * [taylor]: Taking taylor expansion of 0 in x 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify (* 1 1) into 1 3.840 * [backup-simplify]: Simplify (* 3 1) into 3 3.840 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.840 * [backup-simplify]: Simplify (+ 3 0) into 3 3.841 * [taylor]: Taking taylor expansion of 3 in x 3.841 * [backup-simplify]: Simplify 3 into 3 3.841 * [backup-simplify]: Simplify 3 into 3 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify (* 1 1) into 1 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.842 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.842 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.842 * [backup-simplify]: Simplify (+ 0 0) into 0 3.842 * [taylor]: Taking taylor expansion of 0 in x 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.844 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.845 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.845 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [taylor]: Taking taylor expansion of 0 in x 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.846 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y)))))) (sqrt (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y))))))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.846 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (y x) around 0 3.846 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.846 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.846 * [taylor]: Taking taylor expansion of 3 in x 3.846 * [backup-simplify]: Simplify 3 into 3 3.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.846 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.846 * [taylor]: Taking taylor expansion of y in x 3.846 * [backup-simplify]: Simplify y into y 3.846 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.846 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.846 * [taylor]: Taking taylor expansion of x in x 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (* 1 1) into 1 3.847 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.847 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.847 * [taylor]: Taking taylor expansion of 3 in y 3.847 * [backup-simplify]: Simplify 3 into 3 3.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.847 * [taylor]: Taking taylor expansion of y in y 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (* 1 1) into 1 3.847 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.847 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.847 * [taylor]: Taking taylor expansion of x in y 3.847 * [backup-simplify]: Simplify x into x 3.847 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.847 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.847 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.847 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.847 * [taylor]: Taking taylor expansion of 3 in y 3.847 * [backup-simplify]: Simplify 3 into 3 3.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.848 * [taylor]: Taking taylor expansion of y in y 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [backup-simplify]: Simplify (* 1 1) into 1 3.848 * [backup-simplify]: Simplify (/ 1 1) into 1 3.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.848 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.848 * [taylor]: Taking taylor expansion of x in y 3.848 * [backup-simplify]: Simplify x into x 3.848 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.848 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.849 * [backup-simplify]: Simplify (* 3 1) into 3 3.849 * [backup-simplify]: Simplify (+ 3 0) into 3 3.849 * [taylor]: Taking taylor expansion of 3 in x 3.849 * [backup-simplify]: Simplify 3 into 3 3.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.850 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [taylor]: Taking taylor expansion of 0 in x 3.850 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.852 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.852 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.853 * [taylor]: Taking taylor expansion of x in x 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (* 1 1) into 1 3.853 * [backup-simplify]: Simplify (/ 1 1) into 1 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify 3 into 3 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.855 * [taylor]: Taking taylor expansion of 0 in x 3.855 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.859 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.859 * [backup-simplify]: Simplify (+ 0 0) into 0 3.859 * [taylor]: Taking taylor expansion of 0 in x 3.859 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [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)) 3.862 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y))))))) (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y)))))))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.862 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (y x) around 0 3.862 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.862 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.862 * [taylor]: Taking taylor expansion of 3 in x 3.862 * [backup-simplify]: Simplify 3 into 3 3.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.862 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.862 * [taylor]: Taking taylor expansion of y in x 3.862 * [backup-simplify]: Simplify y into y 3.862 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.862 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.862 * [taylor]: Taking taylor expansion of x in x 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (* 1 1) into 1 3.862 * [backup-simplify]: Simplify (/ 1 1) into 1 3.862 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.862 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.863 * [taylor]: Taking taylor expansion of 3 in y 3.863 * [backup-simplify]: Simplify 3 into 3 3.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.863 * [taylor]: Taking taylor expansion of y in y 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (* 1 1) into 1 3.863 * [backup-simplify]: Simplify (/ 1 1) into 1 3.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.863 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.863 * [taylor]: Taking taylor expansion of x in y 3.863 * [backup-simplify]: Simplify x into x 3.863 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.863 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.863 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.863 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.863 * [taylor]: Taking taylor expansion of 3 in y 3.863 * [backup-simplify]: Simplify 3 into 3 3.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.863 * [taylor]: Taking taylor expansion of y in y 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (* 1 1) into 1 3.864 * [backup-simplify]: Simplify (/ 1 1) into 1 3.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.864 * [taylor]: Taking taylor expansion of x in y 3.864 * [backup-simplify]: Simplify x into x 3.864 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.864 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.864 * [backup-simplify]: Simplify (* 3 1) into 3 3.865 * [backup-simplify]: Simplify (+ 3 0) into 3 3.865 * [taylor]: Taking taylor expansion of 3 in x 3.865 * [backup-simplify]: Simplify 3 into 3 3.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.866 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.866 * [backup-simplify]: Simplify (+ 0 0) into 0 3.866 * [taylor]: Taking taylor expansion of 0 in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.869 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.869 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.869 * [taylor]: Taking taylor expansion of x in x 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (* 1 1) into 1 3.870 * [backup-simplify]: Simplify (/ 1 1) into 1 3.870 * [backup-simplify]: Simplify 1 into 1 3.870 * [backup-simplify]: Simplify 3 into 3 3.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.874 * [backup-simplify]: Simplify (+ 0 0) into 0 3.874 * [taylor]: Taking taylor expansion of 0 in x 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.879 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.880 * [backup-simplify]: Simplify (+ 0 0) into 0 3.880 * [taylor]: Taking taylor expansion of 0 in x 3.880 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.883 * [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)) 3.883 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.883 * [backup-simplify]: Simplify (+ (* y y) (+ (* x x) (* y (+ y y)))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.883 * [approximate]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in (y x) around 0 3.883 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 3.883 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.883 * [taylor]: Taking taylor expansion of 3 in x 3.883 * [backup-simplify]: Simplify 3 into 3 3.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.883 * [taylor]: Taking taylor expansion of y in x 3.883 * [backup-simplify]: Simplify y into y 3.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.883 * [taylor]: Taking taylor expansion of x in x 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 3.884 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.884 * [taylor]: Taking taylor expansion of 3 in y 3.884 * [backup-simplify]: Simplify 3 into 3 3.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.884 * [taylor]: Taking taylor expansion of y in y 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.884 * [taylor]: Taking taylor expansion of x in y 3.884 * [backup-simplify]: Simplify x into x 3.884 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 3.884 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.884 * [taylor]: Taking taylor expansion of 3 in y 3.884 * [backup-simplify]: Simplify 3 into 3 3.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.884 * [taylor]: Taking taylor expansion of y in y 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.884 * [taylor]: Taking taylor expansion of x in y 3.884 * [backup-simplify]: Simplify x into x 3.884 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.884 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.884 * [taylor]: Taking taylor expansion of x in x 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.885 * [taylor]: Taking taylor expansion of 0 in x 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (* 1 1) into 1 3.886 * [backup-simplify]: Simplify (* 3 1) into 3 3.886 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.887 * [backup-simplify]: Simplify (+ 3 0) into 3 3.887 * [taylor]: Taking taylor expansion of 3 in x 3.887 * [backup-simplify]: Simplify 3 into 3 3.887 * [backup-simplify]: Simplify 3 into 3 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify (* 1 1) into 1 3.887 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.889 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.889 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.890 * [backup-simplify]: Simplify (+ 0 0) into 0 3.890 * [taylor]: Taking taylor expansion of 0 in x 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.891 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.893 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.894 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.894 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [taylor]: Taking taylor expansion of 0 in x 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 3.895 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y))))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.895 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (y x) around 0 3.895 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.895 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.895 * [taylor]: Taking taylor expansion of 3 in x 3.895 * [backup-simplify]: Simplify 3 into 3 3.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.895 * [taylor]: Taking taylor expansion of y in x 3.895 * [backup-simplify]: Simplify y into y 3.895 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.896 * [taylor]: Taking taylor expansion of x in x 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [backup-simplify]: Simplify (* 1 1) into 1 3.896 * [backup-simplify]: Simplify (/ 1 1) into 1 3.896 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.897 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.897 * [taylor]: Taking taylor expansion of 3 in y 3.897 * [backup-simplify]: Simplify 3 into 3 3.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.897 * [taylor]: Taking taylor expansion of y in y 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * [backup-simplify]: Simplify (* 1 1) into 1 3.897 * [backup-simplify]: Simplify (/ 1 1) into 1 3.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.897 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.897 * [taylor]: Taking taylor expansion of x in y 3.898 * [backup-simplify]: Simplify x into x 3.898 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.898 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.898 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.898 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.898 * [taylor]: Taking taylor expansion of 3 in y 3.898 * [backup-simplify]: Simplify 3 into 3 3.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.898 * [taylor]: Taking taylor expansion of y in y 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify (* 1 1) into 1 3.899 * [backup-simplify]: Simplify (/ 1 1) into 1 3.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.899 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.899 * [taylor]: Taking taylor expansion of x in y 3.899 * [backup-simplify]: Simplify x into x 3.899 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.899 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.899 * [backup-simplify]: Simplify (* 3 1) into 3 3.900 * [backup-simplify]: Simplify (+ 3 0) into 3 3.900 * [taylor]: Taking taylor expansion of 3 in x 3.900 * [backup-simplify]: Simplify 3 into 3 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.902 * [taylor]: Taking taylor expansion of 0 in x 3.902 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.905 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.905 * [taylor]: Taking taylor expansion of x in x 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (* 1 1) into 1 3.906 * [backup-simplify]: Simplify (/ 1 1) into 1 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify 3 into 3 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.910 * [backup-simplify]: Simplify (+ 0 0) into 0 3.910 * [taylor]: Taking taylor expansion of 0 in x 3.910 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.916 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.917 * [backup-simplify]: Simplify (+ 0 0) into 0 3.917 * [taylor]: Taking taylor expansion of 0 in x 3.917 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [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)) 3.920 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y)))))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 3.920 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (y x) around 0 3.920 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 3.920 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.920 * [taylor]: Taking taylor expansion of 3 in x 3.920 * [backup-simplify]: Simplify 3 into 3 3.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.920 * [taylor]: Taking taylor expansion of y in x 3.920 * [backup-simplify]: Simplify y into y 3.920 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.920 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.920 * [taylor]: Taking taylor expansion of x in x 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (* 1 1) into 1 3.921 * [backup-simplify]: Simplify (/ 1 1) into 1 3.921 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.921 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.921 * [taylor]: Taking taylor expansion of 3 in y 3.921 * [backup-simplify]: Simplify 3 into 3 3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.921 * [taylor]: Taking taylor expansion of y in y 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.922 * [backup-simplify]: Simplify (* 1 1) into 1 3.922 * [backup-simplify]: Simplify (/ 1 1) into 1 3.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.922 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.922 * [taylor]: Taking taylor expansion of x in y 3.922 * [backup-simplify]: Simplify x into x 3.922 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.922 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.922 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 3.922 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.922 * [taylor]: Taking taylor expansion of 3 in y 3.922 * [backup-simplify]: Simplify 3 into 3 3.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.922 * [taylor]: Taking taylor expansion of y in y 3.922 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (* 1 1) into 1 3.923 * [backup-simplify]: Simplify (/ 1 1) into 1 3.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.923 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.923 * [taylor]: Taking taylor expansion of x in y 3.923 * [backup-simplify]: Simplify x into x 3.923 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.924 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.924 * [backup-simplify]: Simplify (* 3 1) into 3 3.924 * [backup-simplify]: Simplify (+ 3 0) into 3 3.924 * [taylor]: Taking taylor expansion of 3 in x 3.924 * [backup-simplify]: Simplify 3 into 3 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.927 * [backup-simplify]: Simplify (+ 0 0) into 0 3.927 * [taylor]: Taking taylor expansion of 0 in x 3.927 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.930 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.930 * [taylor]: Taking taylor expansion of x in x 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.930 * [backup-simplify]: Simplify (* 1 1) into 1 3.932 * [backup-simplify]: Simplify (/ 1 1) into 1 3.932 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify 3 into 3 3.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.937 * [backup-simplify]: Simplify (+ 0 0) into 0 3.937 * [taylor]: Taking taylor expansion of 0 in x 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.942 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.943 * [backup-simplify]: Simplify (+ 0 0) into 0 3.943 * [taylor]: Taking taylor expansion of 0 in x 3.943 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.944 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [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)) 3.945 * * * [progress]: simplifying candidates 3.948 * [simplify]: Simplifying: (log (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (exp (sqrt (+ (* y y) (+ (* x x) (* y 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(+ (* y y) (+ (* x x) (* y (+ y y)))) (+ (* y y) (+ (* x x) (* y (+ y y))))) (+ (* y y) (+ (* x x) (* y (+ y y))))) (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))) (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))) (+ (pow (* y y) 3) (pow (+ (* x x) (* y (+ y y))) 3)) (+ (* (* y y) (* y y)) (- (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y)))) (* (* y y) (+ (* x x) (* y (+ y y)))))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y))))) (- (* y y) (+ (* x x) (* y (+ y y)))) (+ (* y y) (* x x)) x (* y (sqrt 3)) (* -1 (* y (sqrt 3))) x (* y (sqrt 3)) (* -1 (* y (sqrt 3))) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) 3.953 * * [simplify]: iteration 0: 103 enodes 4.003 * * [simplify]: iteration 1: 270 enodes 4.185 * * [simplify]: iteration 2: 1375 enodes 4.751 * * [simplify]: iteration complete: 5000 enodes 4.751 * * [simplify]: Extracting #0: cost 41 inf + 0 4.754 * * [simplify]: Extracting #1: cost 636 inf + 4 4.762 * * [simplify]: Extracting #2: cost 1495 inf + 126 4.784 * * [simplify]: Extracting #3: cost 1851 inf + 2894 4.798 * * [simplify]: Extracting #4: cost 921 inf + 18591 4.811 * * [simplify]: Extracting #5: cost 192 inf + 36558 4.824 * * [simplify]: Extracting #6: cost 6 inf + 41729 4.838 * * [simplify]: Extracting #7: cost 0 inf + 41799 4.852 * [simplify]: Simplified to: (log (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (exp (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (* (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (pow (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) 3) (fabs (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) 1 (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (pow (+ (* (* y 2) y) (pow x 2)) 3) (pow y 6))) (sqrt (+ (* (- (+ (* (* y 2) y) (pow x 2)) (pow y 2)) (+ (* (* y 2) y) (pow x 2))) (pow y 4))) (sqrt (- (pow y 4) (* (+ (* (* y 2) y) (pow x 2)) (+ (pow x 2) (* (* y 2) y))))) (sqrt (- (- (pow y 2) (* (* y 2) y)) (pow x 2))) 1/2 (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (log (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (exp (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (* (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (pow (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) 3) (fabs (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) 1 (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (pow (+ (* (* y 2) y) (pow x 2)) 3) (pow y 6))) (sqrt (+ (* (- (+ (* (* y 2) y) (pow x 2)) (pow y 2)) (+ (* (* y 2) y) (pow x 2))) (pow y 4))) (sqrt (- (pow y 4) (* (+ (* (* y 2) y) (pow x 2)) (+ (pow x 2) (* (* y 2) y))))) (sqrt (- (- (pow y 2) (* (* y 2) y)) (pow x 2))) 1/2 (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) 1 1 2 1 1 (pow (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (+ 3 1)) (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)) (pow (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (+ 3 1)) 2 (log (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (log (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (exp (+ (pow y 2) (+ (* (* y 2) y) (pow x 2)))) (pow (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)) 3) (* (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (pow (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)) 3) (pow (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (+ 3 1)) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (+ (pow (+ (* (* y 2) y) (pow x 2)) 3) (pow y 6)) (+ (* (- (+ (* (* y 2) y) (pow x 2)) (pow y 2)) (+ (* (* y 2) y) (pow x 2))) (pow y 4)) (* (sqrt (+ (pow (+ (* (* y 2) y) (pow x 2)) 3) (pow y 6))) (sqrt (- (pow y 4) (* (+ (* (* y 2) y) (pow x 2)) (+ (pow x 2) (* (* y 2) y)))))) (* (sqrt (+ (* (- (+ (* (* y 2) y) (pow x 2)) (pow y 2)) (+ (* (* y 2) y) (pow x 2))) (pow y 4))) (sqrt (- (- (pow y 2) (* (* y 2) y)) (pow x 2)))) (* (sqrt (+ (pow (+ (* (* y 2) y) (pow x 2)) 3) (pow y 6))) (sqrt (- (pow y 4) (* (+ (* (* y 2) y) (pow x 2)) (+ (pow x 2) (* (* y 2) y)))))) (* (sqrt (+ (* (- (+ (* (* y 2) y) (pow x 2)) (pow y 2)) (+ (* (* y 2) y) (pow x 2))) (pow y 4))) (sqrt (- (- (pow y 2) (* (* y 2) y)) (pow x 2)))) (- (pow y 4) (* (+ (* (* y 2) y) (pow x 2)) (+ (pow x 2) (* (* y 2) y)))) (- (- (pow y 2) (* (* y 2) y)) (pow x 2)) (pow (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (+ 3 1)) (* (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) (* (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) 1 (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) 1 (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) 1 2 1 (* (pow (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (+ 3 1)) (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) (* (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (fabs (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) (pow (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) 3) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (pow (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) 3) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (pow (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (+ 3 1)) (* (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) (pow (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) 3) (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)) (pow (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) 3) (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)) (* (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (pow (+ (* (* y 2) y) (pow x 2)) 3) (pow y 6)))) (* (sqrt (- (pow y 4) (* (+ (* (* y 2) y) (pow x 2)) (+ (pow x 2) (* (* y 2) y))))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (* (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (pow (+ (* (* y 2) y) (pow x 2)) 3) (pow y 6)))) (* (sqrt (- (pow y 4) (* (+ (* (* y 2) y) (pow x 2)) (+ (pow x 2) (* (* y 2) y))))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (exp (+ (pow y 2) (+ (* (* y 2) y) (pow x 2)))) (exp (+ (pow y 2) (+ (* (* y 2) y) (pow x 2)))) (log (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (exp (+ (pow y 2) (+ (* (* y 2) y) (pow x 2)))) (* (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (pow (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)) 3) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (+ (pow (+ (* (* y 2) y) (pow x 2)) 3) (pow y 6)) (+ (* (- (+ (* (* y 2) y) (pow x 2)) (pow y 2)) (+ (* (* y 2) y) (pow x 2))) (pow y 4)) (- (pow y 4) (* (+ (* (* y 2) y) (pow x 2)) (+ (pow x 2) (* (* y 2) y)))) (- (- (pow y 2) (* (* y 2) y)) (pow x 2)) (+ (pow x 2) (pow y 2)) x (* y (sqrt 3)) (* (- y) (sqrt 3)) x (* y (sqrt 3)) (* (- y) (sqrt 3)) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) 4.853 * * * [progress]: adding candidates to table 5.431 * * [progress]: iteration 4 / 4 5.431 * * * [progress]: picking best candidate 5.478 * * * * [pick]: Picked # 5.478 * * * [progress]: localizing error 5.553 * * * [progress]: generating rewritten candidates 5.553 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.602 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 5.657 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 5.722 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 6.045 * * * [progress]: generating series expansions 6.045 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.046 * [backup-simplify]: Simplify (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))) into (sqrt (+ (* 3 (pow y 2)) (pow x 2))) 6.046 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in (y x) around 0 6.046 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in x 6.046 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 6.046 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.046 * [taylor]: Taking taylor expansion of 3 in x 6.046 * [backup-simplify]: Simplify 3 into 3 6.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.046 * [taylor]: Taking taylor expansion of y in x 6.046 * [backup-simplify]: Simplify y into y 6.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.046 * [taylor]: Taking taylor expansion of x in x 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify 1 into 1 6.046 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.046 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 6.046 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 6.046 * [backup-simplify]: Simplify (sqrt (* 3 (pow y 2))) into (* y (sqrt 3)) 6.046 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.047 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 6.047 * [backup-simplify]: Simplify (+ 0 0) into 0 6.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 3 (pow y 2))))) into 0 6.047 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 6.047 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 6.047 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.047 * [taylor]: Taking taylor expansion of 3 in y 6.047 * [backup-simplify]: Simplify 3 into 3 6.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.048 * [taylor]: Taking taylor expansion of y in y 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 1 into 1 6.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.048 * [taylor]: Taking taylor expansion of x in y 6.048 * [backup-simplify]: Simplify x into x 6.048 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.048 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.048 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.048 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.048 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.048 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 6.048 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 6.048 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.048 * [taylor]: Taking taylor expansion of 3 in y 6.048 * [backup-simplify]: Simplify 3 into 3 6.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.048 * [taylor]: Taking taylor expansion of y in y 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 1 into 1 6.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.048 * [taylor]: Taking taylor expansion of x in y 6.048 * [backup-simplify]: Simplify x into x 6.048 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.049 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.049 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.049 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.049 * [backup-simplify]: Simplify (+ 0 0) into 0 6.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.049 * [taylor]: Taking taylor expansion of x in x 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 1 into 1 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [taylor]: Taking taylor expansion of 0 in x 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 1 into 1 6.049 * [backup-simplify]: Simplify (* 1 1) into 1 6.050 * [backup-simplify]: Simplify (* 3 1) into 3 6.050 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.050 * [backup-simplify]: Simplify (+ 3 0) into 3 6.051 * [backup-simplify]: Simplify (/ (- 3 (pow 0 2) (+)) (* 2 x)) into (/ 3/2 x) 6.051 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 6.051 * [taylor]: Taking taylor expansion of 3/2 in x 6.051 * [backup-simplify]: Simplify 3/2 into 3/2 6.051 * [taylor]: Taking taylor expansion of x in x 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 1 into 1 6.051 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 6.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.053 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.053 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 x))))) (* 2 x)) into 0 6.054 * [taylor]: Taking taylor expansion of 0 in x 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 6.055 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (/ 1 y)))))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 6.055 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 6.055 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 6.055 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 6.055 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.055 * [taylor]: Taking taylor expansion of 3 in x 6.055 * [backup-simplify]: Simplify 3 into 3 6.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.055 * [taylor]: Taking taylor expansion of y in x 6.055 * [backup-simplify]: Simplify y into y 6.055 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.055 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.055 * [taylor]: Taking taylor expansion of x in x 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 1 into 1 6.055 * [backup-simplify]: Simplify (* 1 1) into 1 6.056 * [backup-simplify]: Simplify (/ 1 1) into 1 6.056 * [backup-simplify]: Simplify (+ 0 1) into 1 6.056 * [backup-simplify]: Simplify (sqrt 1) into 1 6.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.057 * [backup-simplify]: Simplify (+ 0 0) into 0 6.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.058 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.058 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.058 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.058 * [taylor]: Taking taylor expansion of 3 in y 6.058 * [backup-simplify]: Simplify 3 into 3 6.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.058 * [taylor]: Taking taylor expansion of y in y 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 1 into 1 6.058 * [backup-simplify]: Simplify (* 1 1) into 1 6.058 * [backup-simplify]: Simplify (/ 1 1) into 1 6.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.058 * [taylor]: Taking taylor expansion of x in y 6.058 * [backup-simplify]: Simplify x into x 6.058 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.059 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.059 * [backup-simplify]: Simplify (* 3 1) into 3 6.059 * [backup-simplify]: Simplify (+ 3 0) into 3 6.060 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.062 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.062 * [backup-simplify]: Simplify (+ 0 0) into 0 6.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.063 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.063 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.063 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.063 * [taylor]: Taking taylor expansion of 3 in y 6.063 * [backup-simplify]: Simplify 3 into 3 6.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.063 * [taylor]: Taking taylor expansion of y in y 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.064 * [backup-simplify]: Simplify (* 1 1) into 1 6.064 * [backup-simplify]: Simplify (/ 1 1) into 1 6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.064 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.064 * [taylor]: Taking taylor expansion of x in y 6.064 * [backup-simplify]: Simplify x into x 6.064 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.064 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.065 * [backup-simplify]: Simplify (* 3 1) into 3 6.065 * [backup-simplify]: Simplify (+ 3 0) into 3 6.065 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.068 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.069 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.069 * [taylor]: Taking taylor expansion of 3 in x 6.069 * [backup-simplify]: Simplify 3 into 3 6.069 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.070 * [taylor]: Taking taylor expansion of 0 in x 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.073 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.075 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 6.075 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 6.076 * [taylor]: Taking taylor expansion of 1/2 in x 6.076 * [backup-simplify]: Simplify 1/2 into 1/2 6.076 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 6.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.076 * [taylor]: Taking taylor expansion of x in x 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.076 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.076 * [taylor]: Taking taylor expansion of 3 in x 6.076 * [backup-simplify]: Simplify 3 into 3 6.076 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.078 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 6.079 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 6.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 6.082 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.085 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.085 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.086 * [backup-simplify]: Simplify (+ 0 0) into 0 6.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 6.088 * [taylor]: Taking taylor expansion of 0 in x 6.088 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 6.093 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.094 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 y)))) into (* y (sqrt 3)) 6.096 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 6.096 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 6.096 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 6.096 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 6.096 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.096 * [taylor]: Taking taylor expansion of 3 in x 6.096 * [backup-simplify]: Simplify 3 into 3 6.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.096 * [taylor]: Taking taylor expansion of y in x 6.096 * [backup-simplify]: Simplify y into y 6.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.096 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.096 * [taylor]: Taking taylor expansion of x in x 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify (* 1 1) into 1 6.097 * [backup-simplify]: Simplify (/ 1 1) into 1 6.098 * [backup-simplify]: Simplify (+ 0 1) into 1 6.098 * [backup-simplify]: Simplify (sqrt 1) into 1 6.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify (+ 0 0) into 0 6.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.101 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.101 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.101 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.101 * [taylor]: Taking taylor expansion of 3 in y 6.101 * [backup-simplify]: Simplify 3 into 3 6.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.101 * [taylor]: Taking taylor expansion of y in y 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify (* 1 1) into 1 6.102 * [backup-simplify]: Simplify (/ 1 1) into 1 6.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.102 * [taylor]: Taking taylor expansion of x in y 6.102 * [backup-simplify]: Simplify x into x 6.102 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.103 * [backup-simplify]: Simplify (* 3 1) into 3 6.103 * [backup-simplify]: Simplify (+ 3 0) into 3 6.104 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.106 * [backup-simplify]: Simplify (+ 0 0) into 0 6.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.107 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.107 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.107 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.107 * [taylor]: Taking taylor expansion of 3 in y 6.107 * [backup-simplify]: Simplify 3 into 3 6.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.107 * [taylor]: Taking taylor expansion of y in y 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 1 into 1 6.108 * [backup-simplify]: Simplify (* 1 1) into 1 6.108 * [backup-simplify]: Simplify (/ 1 1) into 1 6.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.108 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.108 * [taylor]: Taking taylor expansion of x in y 6.108 * [backup-simplify]: Simplify x into x 6.108 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.108 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.109 * [backup-simplify]: Simplify (* 3 1) into 3 6.109 * [backup-simplify]: Simplify (+ 3 0) into 3 6.110 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.112 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.112 * [backup-simplify]: Simplify (+ 0 0) into 0 6.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.113 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.113 * [taylor]: Taking taylor expansion of 3 in x 6.113 * [backup-simplify]: Simplify 3 into 3 6.113 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.114 * [taylor]: Taking taylor expansion of 0 in x 6.114 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.118 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.119 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 6.120 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 6.120 * [taylor]: Taking taylor expansion of 1/2 in x 6.120 * [backup-simplify]: Simplify 1/2 into 1/2 6.120 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 6.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.120 * [taylor]: Taking taylor expansion of x in x 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.120 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.120 * [taylor]: Taking taylor expansion of 3 in x 6.120 * [backup-simplify]: Simplify 3 into 3 6.120 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.121 * [backup-simplify]: Simplify (* 1 1) into 1 6.122 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 6.123 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 6.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 6.126 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.130 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.130 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.131 * [backup-simplify]: Simplify (+ 0 0) into 0 6.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 6.136 * [taylor]: Taking taylor expansion of 0 in x 6.136 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 6.141 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 (- y))))) into (* -1 (* y (sqrt 3))) 6.143 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 6.144 * [backup-simplify]: Simplify (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) into (sqrt (+ (* 3 (pow y 2)) (pow x 2))) 6.144 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in (y x) around 0 6.144 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in x 6.144 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 6.144 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.144 * [taylor]: Taking taylor expansion of 3 in x 6.144 * [backup-simplify]: Simplify 3 into 3 6.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.144 * [taylor]: Taking taylor expansion of y in x 6.144 * [backup-simplify]: Simplify y into y 6.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.144 * [taylor]: Taking taylor expansion of x in x 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.144 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 6.144 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 6.144 * [backup-simplify]: Simplify (sqrt (* 3 (pow y 2))) into (* y (sqrt 3)) 6.145 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.145 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 6.146 * [backup-simplify]: Simplify (+ 0 0) into 0 6.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 3 (pow y 2))))) into 0 6.146 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 6.146 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 6.146 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.146 * [taylor]: Taking taylor expansion of 3 in y 6.146 * [backup-simplify]: Simplify 3 into 3 6.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.146 * [taylor]: Taking taylor expansion of y in y 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.146 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.146 * [taylor]: Taking taylor expansion of x in y 6.146 * [backup-simplify]: Simplify x into x 6.146 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.147 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.147 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.147 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.147 * [backup-simplify]: Simplify (+ 0 0) into 0 6.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.147 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 6.148 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 6.148 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.148 * [taylor]: Taking taylor expansion of 3 in y 6.148 * [backup-simplify]: Simplify 3 into 3 6.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.148 * [taylor]: Taking taylor expansion of y in y 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.148 * [taylor]: Taking taylor expansion of x in y 6.148 * [backup-simplify]: Simplify x into x 6.148 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.148 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.148 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.148 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.149 * [backup-simplify]: Simplify (+ 0 0) into 0 6.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.149 * [taylor]: Taking taylor expansion of x in x 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in x 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (* 1 1) into 1 6.150 * [backup-simplify]: Simplify (* 3 1) into 3 6.151 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.151 * [backup-simplify]: Simplify (+ 3 0) into 3 6.152 * [backup-simplify]: Simplify (/ (- 3 (pow 0 2) (+)) (* 2 x)) into (/ 3/2 x) 6.152 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 6.152 * [taylor]: Taking taylor expansion of 3/2 in x 6.152 * [backup-simplify]: Simplify 3/2 into 3/2 6.152 * [taylor]: Taking taylor expansion of x in x 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify 1 into 1 6.153 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 6.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.155 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.156 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.156 * [backup-simplify]: Simplify (+ 0 0) into 0 6.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 x))))) (* 2 x)) into 0 6.157 * [taylor]: Taking taylor expansion of 0 in x 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 6.159 * [backup-simplify]: Simplify (sqrt (+ (+ (pow (/ 1 y) 2) (* (* (/ 1 y) 2) (/ 1 y))) (pow (/ 1 x) 2))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 6.159 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 6.159 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 6.159 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 6.159 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.159 * [taylor]: Taking taylor expansion of 3 in x 6.159 * [backup-simplify]: Simplify 3 into 3 6.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.159 * [taylor]: Taking taylor expansion of y in x 6.159 * [backup-simplify]: Simplify y into y 6.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.159 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.159 * [taylor]: Taking taylor expansion of x in x 6.159 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify 1 into 1 6.160 * [backup-simplify]: Simplify (* 1 1) into 1 6.160 * [backup-simplify]: Simplify (/ 1 1) into 1 6.161 * [backup-simplify]: Simplify (+ 0 1) into 1 6.161 * [backup-simplify]: Simplify (sqrt 1) into 1 6.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (+ 0 0) into 0 6.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.163 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.163 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.164 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.164 * [taylor]: Taking taylor expansion of 3 in y 6.164 * [backup-simplify]: Simplify 3 into 3 6.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.164 * [taylor]: Taking taylor expansion of y in y 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify 1 into 1 6.164 * [backup-simplify]: Simplify (* 1 1) into 1 6.164 * [backup-simplify]: Simplify (/ 1 1) into 1 6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.165 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.165 * [taylor]: Taking taylor expansion of x in y 6.165 * [backup-simplify]: Simplify x into x 6.165 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.165 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.165 * [backup-simplify]: Simplify (* 3 1) into 3 6.166 * [backup-simplify]: Simplify (+ 3 0) into 3 6.166 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.169 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.169 * [backup-simplify]: Simplify (+ 0 0) into 0 6.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.171 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.171 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.171 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.171 * [taylor]: Taking taylor expansion of 3 in y 6.171 * [backup-simplify]: Simplify 3 into 3 6.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.171 * [taylor]: Taking taylor expansion of y in y 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [backup-simplify]: Simplify (* 1 1) into 1 6.172 * [backup-simplify]: Simplify (/ 1 1) into 1 6.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.172 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.172 * [taylor]: Taking taylor expansion of x in y 6.172 * [backup-simplify]: Simplify x into x 6.172 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.172 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.173 * [backup-simplify]: Simplify (* 3 1) into 3 6.173 * [backup-simplify]: Simplify (+ 3 0) into 3 6.174 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.177 * [backup-simplify]: Simplify (+ 0 0) into 0 6.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.178 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.178 * [taylor]: Taking taylor expansion of 3 in x 6.178 * [backup-simplify]: Simplify 3 into 3 6.178 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.179 * [taylor]: Taking taylor expansion of 0 in x 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.183 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.184 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 6.184 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 6.184 * [taylor]: Taking taylor expansion of 1/2 in x 6.184 * [backup-simplify]: Simplify 1/2 into 1/2 6.184 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 6.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.185 * [taylor]: Taking taylor expansion of x in x 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 1 into 1 6.185 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.185 * [taylor]: Taking taylor expansion of 3 in x 6.185 * [backup-simplify]: Simplify 3 into 3 6.185 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.186 * [backup-simplify]: Simplify (* 1 1) into 1 6.187 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 6.188 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 6.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 6.191 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.194 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.195 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.195 * [backup-simplify]: Simplify (+ 0 0) into 0 6.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 6.197 * [taylor]: Taking taylor expansion of 0 in x 6.197 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 6.201 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 y)))) into (* y (sqrt 3)) 6.204 * [backup-simplify]: Simplify (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (* (/ 1 (- y)) 2) (/ 1 (- y)))) (pow (/ 1 (- x)) 2))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 6.204 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 6.204 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 6.204 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 6.204 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.204 * [taylor]: Taking taylor expansion of 3 in x 6.204 * [backup-simplify]: Simplify 3 into 3 6.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.204 * [taylor]: Taking taylor expansion of y in x 6.204 * [backup-simplify]: Simplify y into y 6.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.205 * [taylor]: Taking taylor expansion of x in x 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (* 1 1) into 1 6.205 * [backup-simplify]: Simplify (/ 1 1) into 1 6.206 * [backup-simplify]: Simplify (+ 0 1) into 1 6.206 * [backup-simplify]: Simplify (sqrt 1) into 1 6.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.208 * [backup-simplify]: Simplify (+ 0 0) into 0 6.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.209 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.209 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.209 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.209 * [taylor]: Taking taylor expansion of 3 in y 6.209 * [backup-simplify]: Simplify 3 into 3 6.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.209 * [taylor]: Taking taylor expansion of y in y 6.209 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify 1 into 1 6.209 * [backup-simplify]: Simplify (* 1 1) into 1 6.210 * [backup-simplify]: Simplify (/ 1 1) into 1 6.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.210 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.210 * [taylor]: Taking taylor expansion of x in y 6.210 * [backup-simplify]: Simplify x into x 6.210 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.210 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.211 * [backup-simplify]: Simplify (* 3 1) into 3 6.211 * [backup-simplify]: Simplify (+ 3 0) into 3 6.212 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.214 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.214 * [backup-simplify]: Simplify (+ 0 0) into 0 6.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.215 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.215 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.215 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.215 * [taylor]: Taking taylor expansion of 3 in y 6.215 * [backup-simplify]: Simplify 3 into 3 6.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.215 * [taylor]: Taking taylor expansion of y in y 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 1 into 1 6.216 * [backup-simplify]: Simplify (* 1 1) into 1 6.216 * [backup-simplify]: Simplify (/ 1 1) into 1 6.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.216 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.216 * [taylor]: Taking taylor expansion of x in y 6.216 * [backup-simplify]: Simplify x into x 6.216 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.216 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.217 * [backup-simplify]: Simplify (* 3 1) into 3 6.217 * [backup-simplify]: Simplify (+ 3 0) into 3 6.218 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.220 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.220 * [backup-simplify]: Simplify (+ 0 0) into 0 6.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.221 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.221 * [taylor]: Taking taylor expansion of 3 in x 6.221 * [backup-simplify]: Simplify 3 into 3 6.222 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.222 * [taylor]: Taking taylor expansion of 0 in x 6.222 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.226 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.226 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.228 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 6.228 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 6.228 * [taylor]: Taking taylor expansion of 1/2 in x 6.228 * [backup-simplify]: Simplify 1/2 into 1/2 6.228 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 6.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.228 * [taylor]: Taking taylor expansion of x in x 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify 1 into 1 6.228 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.228 * [taylor]: Taking taylor expansion of 3 in x 6.228 * [backup-simplify]: Simplify 3 into 3 6.229 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.230 * [backup-simplify]: Simplify (* 1 1) into 1 6.231 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 6.231 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 6.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 6.234 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.238 * [backup-simplify]: Simplify (+ 0 0) into 0 6.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 6.240 * [taylor]: Taking taylor expansion of 0 in x 6.240 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 6.244 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.245 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 (- y))))) into (* -1 (* y (sqrt 3))) 6.246 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 6.246 * [backup-simplify]: Simplify (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) into (sqrt (+ (* 3 (pow y 2)) (pow x 2))) 6.247 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in (y x) around 0 6.247 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in x 6.247 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 6.247 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.247 * [taylor]: Taking taylor expansion of 3 in x 6.247 * [backup-simplify]: Simplify 3 into 3 6.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.247 * [taylor]: Taking taylor expansion of y in x 6.247 * [backup-simplify]: Simplify y into y 6.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.247 * [taylor]: Taking taylor expansion of x in x 6.247 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify 1 into 1 6.247 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.247 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 6.247 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 6.247 * [backup-simplify]: Simplify (sqrt (* 3 (pow y 2))) into (* y (sqrt 3)) 6.248 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.248 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 6.248 * [backup-simplify]: Simplify (+ 0 0) into 0 6.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 3 (pow y 2))))) into 0 6.249 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 6.249 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 6.249 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.249 * [taylor]: Taking taylor expansion of 3 in y 6.249 * [backup-simplify]: Simplify 3 into 3 6.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.249 * [taylor]: Taking taylor expansion of y in y 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 1 into 1 6.249 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.249 * [taylor]: Taking taylor expansion of x in y 6.249 * [backup-simplify]: Simplify x into x 6.249 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.249 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.249 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.249 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.250 * [backup-simplify]: Simplify (+ 0 0) into 0 6.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.250 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 6.250 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 6.250 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.250 * [taylor]: Taking taylor expansion of 3 in y 6.250 * [backup-simplify]: Simplify 3 into 3 6.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.250 * [taylor]: Taking taylor expansion of y in y 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.250 * [taylor]: Taking taylor expansion of x in y 6.250 * [backup-simplify]: Simplify x into x 6.250 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.251 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.251 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.251 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.251 * [backup-simplify]: Simplify (+ 0 0) into 0 6.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.251 * [taylor]: Taking taylor expansion of x in x 6.251 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [taylor]: Taking taylor expansion of 0 in x 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (* 1 1) into 1 6.253 * [backup-simplify]: Simplify (* 3 1) into 3 6.253 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.253 * [backup-simplify]: Simplify (+ 3 0) into 3 6.254 * [backup-simplify]: Simplify (/ (- 3 (pow 0 2) (+)) (* 2 x)) into (/ 3/2 x) 6.254 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 6.254 * [taylor]: Taking taylor expansion of 3/2 in x 6.254 * [backup-simplify]: Simplify 3/2 into 3/2 6.254 * [taylor]: Taking taylor expansion of x in x 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.255 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 6.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.257 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.258 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.258 * [backup-simplify]: Simplify (+ 0 0) into 0 6.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 x))))) (* 2 x)) into 0 6.259 * [taylor]: Taking taylor expansion of 0 in x 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 6.261 * [backup-simplify]: Simplify (sqrt (+ (+ (pow (/ 1 y) 2) (* (* (/ 1 y) 2) (/ 1 y))) (pow (/ 1 x) 2))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 6.261 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 6.261 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 6.261 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 6.261 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.261 * [taylor]: Taking taylor expansion of 3 in x 6.261 * [backup-simplify]: Simplify 3 into 3 6.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.261 * [taylor]: Taking taylor expansion of y in x 6.261 * [backup-simplify]: Simplify y into y 6.261 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.261 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.261 * [taylor]: Taking taylor expansion of x in x 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (* 1 1) into 1 6.262 * [backup-simplify]: Simplify (/ 1 1) into 1 6.263 * [backup-simplify]: Simplify (+ 0 1) into 1 6.263 * [backup-simplify]: Simplify (sqrt 1) into 1 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.266 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.266 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.266 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.266 * [taylor]: Taking taylor expansion of 3 in y 6.266 * [backup-simplify]: Simplify 3 into 3 6.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.266 * [taylor]: Taking taylor expansion of y in y 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.267 * [backup-simplify]: Simplify (* 1 1) into 1 6.267 * [backup-simplify]: Simplify (/ 1 1) into 1 6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.267 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.267 * [taylor]: Taking taylor expansion of x in y 6.267 * [backup-simplify]: Simplify x into x 6.267 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.268 * [backup-simplify]: Simplify (* 3 1) into 3 6.268 * [backup-simplify]: Simplify (+ 3 0) into 3 6.268 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.269 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.270 * [backup-simplify]: Simplify (+ 0 0) into 0 6.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.270 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.270 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.270 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.270 * [taylor]: Taking taylor expansion of 3 in y 6.270 * [backup-simplify]: Simplify 3 into 3 6.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.270 * [taylor]: Taking taylor expansion of y in y 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [backup-simplify]: Simplify (* 1 1) into 1 6.271 * [backup-simplify]: Simplify (/ 1 1) into 1 6.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.271 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.271 * [taylor]: Taking taylor expansion of x in y 6.271 * [backup-simplify]: Simplify x into x 6.271 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.271 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.271 * [backup-simplify]: Simplify (* 3 1) into 3 6.271 * [backup-simplify]: Simplify (+ 3 0) into 3 6.272 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.273 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.273 * [backup-simplify]: Simplify (+ 0 0) into 0 6.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.274 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.274 * [taylor]: Taking taylor expansion of 3 in x 6.274 * [backup-simplify]: Simplify 3 into 3 6.274 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.274 * [taylor]: Taking taylor expansion of 0 in x 6.274 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.277 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 6.278 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 6.278 * [taylor]: Taking taylor expansion of 1/2 in x 6.278 * [backup-simplify]: Simplify 1/2 into 1/2 6.278 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 6.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.278 * [taylor]: Taking taylor expansion of x in x 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.278 * [taylor]: Taking taylor expansion of 3 in x 6.278 * [backup-simplify]: Simplify 3 into 3 6.278 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.279 * [backup-simplify]: Simplify (* 1 1) into 1 6.280 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 6.281 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 6.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 6.283 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.285 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.285 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.285 * [backup-simplify]: Simplify (+ 0 0) into 0 6.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 6.286 * [taylor]: Taking taylor expansion of 0 in x 6.286 * [backup-simplify]: Simplify 0 into 0 6.287 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 6.289 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 6.289 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.289 * [backup-simplify]: Simplify 0 into 0 6.290 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 y)))) into (* y (sqrt 3)) 6.290 * [backup-simplify]: Simplify (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (* (/ 1 (- y)) 2) (/ 1 (- y)))) (pow (/ 1 (- x)) 2))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 6.290 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 6.290 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 6.290 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 6.290 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.290 * [taylor]: Taking taylor expansion of 3 in x 6.290 * [backup-simplify]: Simplify 3 into 3 6.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.290 * [taylor]: Taking taylor expansion of y in x 6.290 * [backup-simplify]: Simplify y into y 6.290 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.290 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.290 * [taylor]: Taking taylor expansion of x in x 6.290 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 1 into 1 6.291 * [backup-simplify]: Simplify (* 1 1) into 1 6.291 * [backup-simplify]: Simplify (/ 1 1) into 1 6.291 * [backup-simplify]: Simplify (+ 0 1) into 1 6.292 * [backup-simplify]: Simplify (sqrt 1) into 1 6.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (+ 0 0) into 0 6.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.293 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.293 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.293 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.293 * [taylor]: Taking taylor expansion of 3 in y 6.293 * [backup-simplify]: Simplify 3 into 3 6.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.293 * [taylor]: Taking taylor expansion of y in y 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 1 into 1 6.293 * [backup-simplify]: Simplify (* 1 1) into 1 6.294 * [backup-simplify]: Simplify (/ 1 1) into 1 6.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.294 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.294 * [taylor]: Taking taylor expansion of x in y 6.294 * [backup-simplify]: Simplify x into x 6.294 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.294 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.294 * [backup-simplify]: Simplify (* 3 1) into 3 6.294 * [backup-simplify]: Simplify (+ 3 0) into 3 6.295 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.297 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.297 * [backup-simplify]: Simplify (+ 0 0) into 0 6.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.298 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.298 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.298 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.298 * [taylor]: Taking taylor expansion of 3 in y 6.298 * [backup-simplify]: Simplify 3 into 3 6.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.298 * [taylor]: Taking taylor expansion of y in y 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.298 * [backup-simplify]: Simplify (* 1 1) into 1 6.299 * [backup-simplify]: Simplify (/ 1 1) into 1 6.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.299 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.299 * [taylor]: Taking taylor expansion of x in y 6.299 * [backup-simplify]: Simplify x into x 6.299 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.299 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.300 * [backup-simplify]: Simplify (* 3 1) into 3 6.300 * [backup-simplify]: Simplify (+ 3 0) into 3 6.300 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.303 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.303 * [backup-simplify]: Simplify (+ 0 0) into 0 6.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.304 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.304 * [taylor]: Taking taylor expansion of 3 in x 6.304 * [backup-simplify]: Simplify 3 into 3 6.304 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.305 * [taylor]: Taking taylor expansion of 0 in x 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.308 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.309 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 6.310 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 6.310 * [taylor]: Taking taylor expansion of 1/2 in x 6.310 * [backup-simplify]: Simplify 1/2 into 1/2 6.310 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 6.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.310 * [taylor]: Taking taylor expansion of x in x 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.311 * [taylor]: Taking taylor expansion of 3 in x 6.311 * [backup-simplify]: Simplify 3 into 3 6.311 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.312 * [backup-simplify]: Simplify (* 1 1) into 1 6.313 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 6.314 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 6.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 6.317 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.320 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.320 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.321 * [backup-simplify]: Simplify (+ 0 0) into 0 6.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 6.322 * [taylor]: Taking taylor expansion of 0 in x 6.322 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 6.327 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 (- y))))) into (* -1 (* y (sqrt 3))) 6.329 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.330 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) into (sqrt (+ (* 3 (pow y 2)) (pow x 2))) 6.330 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in (y x) around 0 6.330 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in x 6.330 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 6.330 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.330 * [taylor]: Taking taylor expansion of 3 in x 6.330 * [backup-simplify]: Simplify 3 into 3 6.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.330 * [taylor]: Taking taylor expansion of y in x 6.330 * [backup-simplify]: Simplify y into y 6.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.330 * [taylor]: Taking taylor expansion of x in x 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 1 into 1 6.330 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.330 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 6.331 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 6.331 * [backup-simplify]: Simplify (sqrt (* 3 (pow y 2))) into (* y (sqrt 3)) 6.331 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.331 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 6.332 * [backup-simplify]: Simplify (+ 0 0) into 0 6.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 3 (pow y 2))))) into 0 6.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 6.332 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 6.332 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.332 * [taylor]: Taking taylor expansion of 3 in y 6.332 * [backup-simplify]: Simplify 3 into 3 6.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.332 * [taylor]: Taking taylor expansion of y in y 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify 1 into 1 6.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.332 * [taylor]: Taking taylor expansion of x in y 6.332 * [backup-simplify]: Simplify x into x 6.332 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.333 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.333 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.333 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.333 * [backup-simplify]: Simplify (+ 0 0) into 0 6.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.333 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (pow y 2)) (pow x 2))) in y 6.333 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 6.333 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.333 * [taylor]: Taking taylor expansion of 3 in y 6.333 * [backup-simplify]: Simplify 3 into 3 6.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.334 * [taylor]: Taking taylor expansion of y in y 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify 1 into 1 6.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.334 * [taylor]: Taking taylor expansion of x in y 6.334 * [backup-simplify]: Simplify x into x 6.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.334 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.334 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.334 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.334 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.335 * [taylor]: Taking taylor expansion of x in x 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [taylor]: Taking taylor expansion of 0 in x 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify (* 1 1) into 1 6.336 * [backup-simplify]: Simplify (* 3 1) into 3 6.336 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.337 * [backup-simplify]: Simplify (+ 3 0) into 3 6.337 * [backup-simplify]: Simplify (/ (- 3 (pow 0 2) (+)) (* 2 x)) into (/ 3/2 x) 6.337 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 6.337 * [taylor]: Taking taylor expansion of 3/2 in x 6.337 * [backup-simplify]: Simplify 3/2 into 3/2 6.337 * [taylor]: Taking taylor expansion of x in x 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify 1 into 1 6.338 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 6.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)))) into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.340 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.341 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.341 * [backup-simplify]: Simplify (+ 0 0) into 0 6.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 x))))) (* 2 x)) into 0 6.342 * [taylor]: Taking taylor expansion of 0 in x 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 6.344 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (pow (/ 1 y) 2) (* (* (/ 1 y) 2) (/ 1 y))) (pow (/ 1 x) 2)))) (sqrt (sqrt (+ (+ (pow (/ 1 y) 2) (* (* (/ 1 y) 2) (/ 1 y))) (pow (/ 1 x) 2))))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 6.344 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 6.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 6.344 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 6.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.344 * [taylor]: Taking taylor expansion of 3 in x 6.344 * [backup-simplify]: Simplify 3 into 3 6.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.345 * [taylor]: Taking taylor expansion of y in x 6.345 * [backup-simplify]: Simplify y into y 6.345 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.345 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.345 * [taylor]: Taking taylor expansion of x in x 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [backup-simplify]: Simplify (* 1 1) into 1 6.346 * [backup-simplify]: Simplify (/ 1 1) into 1 6.346 * [backup-simplify]: Simplify (+ 0 1) into 1 6.346 * [backup-simplify]: Simplify (sqrt 1) into 1 6.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.349 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.349 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.349 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.349 * [taylor]: Taking taylor expansion of 3 in y 6.349 * [backup-simplify]: Simplify 3 into 3 6.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.349 * [taylor]: Taking taylor expansion of y in y 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 1 into 1 6.350 * [backup-simplify]: Simplify (* 1 1) into 1 6.350 * [backup-simplify]: Simplify (/ 1 1) into 1 6.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.350 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.350 * [taylor]: Taking taylor expansion of x in y 6.350 * [backup-simplify]: Simplify x into x 6.350 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.350 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.351 * [backup-simplify]: Simplify (* 3 1) into 3 6.351 * [backup-simplify]: Simplify (+ 3 0) into 3 6.352 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.354 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.354 * [backup-simplify]: Simplify (+ 0 0) into 0 6.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.355 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.355 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.355 * [taylor]: Taking taylor expansion of 3 in y 6.355 * [backup-simplify]: Simplify 3 into 3 6.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.355 * [taylor]: Taking taylor expansion of y in y 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 1 into 1 6.356 * [backup-simplify]: Simplify (* 1 1) into 1 6.356 * [backup-simplify]: Simplify (/ 1 1) into 1 6.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.356 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.356 * [taylor]: Taking taylor expansion of x in y 6.356 * [backup-simplify]: Simplify x into x 6.356 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.356 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.357 * [backup-simplify]: Simplify (* 3 1) into 3 6.357 * [backup-simplify]: Simplify (+ 3 0) into 3 6.358 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.360 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.360 * [backup-simplify]: Simplify (+ 0 0) into 0 6.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.361 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.361 * [taylor]: Taking taylor expansion of 3 in x 6.361 * [backup-simplify]: Simplify 3 into 3 6.361 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.362 * [taylor]: Taking taylor expansion of 0 in x 6.362 * [backup-simplify]: Simplify 0 into 0 6.363 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.366 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.367 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 6.367 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 6.367 * [taylor]: Taking taylor expansion of 1/2 in x 6.367 * [backup-simplify]: Simplify 1/2 into 1/2 6.367 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 6.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.368 * [taylor]: Taking taylor expansion of x in x 6.368 * [backup-simplify]: Simplify 0 into 0 6.368 * [backup-simplify]: Simplify 1 into 1 6.368 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.368 * [taylor]: Taking taylor expansion of 3 in x 6.368 * [backup-simplify]: Simplify 3 into 3 6.368 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.369 * [backup-simplify]: Simplify (* 1 1) into 1 6.370 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 6.371 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 6.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 6.374 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.377 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.377 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.378 * [backup-simplify]: Simplify (+ 0 0) into 0 6.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 6.380 * [taylor]: Taking taylor expansion of 0 in x 6.380 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 6.384 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 0 into 0 6.385 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.385 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 y)))) into (* y (sqrt 3)) 6.387 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (* (/ 1 (- y)) 2) (/ 1 (- y)))) (pow (/ 1 (- x)) 2)))) (sqrt (sqrt (+ (+ (pow (/ 1 (- y)) 2) (* (* (/ 1 (- y)) 2) (/ 1 (- y)))) (pow (/ 1 (- x)) 2))))) into (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 6.387 * [approximate]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (y x) around 0 6.387 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 6.388 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 6.388 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.388 * [taylor]: Taking taylor expansion of 3 in x 6.388 * [backup-simplify]: Simplify 3 into 3 6.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.388 * [taylor]: Taking taylor expansion of y in x 6.388 * [backup-simplify]: Simplify y into y 6.388 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.388 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.388 * [taylor]: Taking taylor expansion of x in x 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.389 * [backup-simplify]: Simplify (* 1 1) into 1 6.389 * [backup-simplify]: Simplify (/ 1 1) into 1 6.389 * [backup-simplify]: Simplify (+ 0 1) into 1 6.390 * [backup-simplify]: Simplify (sqrt 1) into 1 6.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.392 * [backup-simplify]: Simplify (+ 0 0) into 0 6.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.392 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.392 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.392 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.392 * [taylor]: Taking taylor expansion of 3 in y 6.392 * [backup-simplify]: Simplify 3 into 3 6.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.393 * [taylor]: Taking taylor expansion of y in y 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [backup-simplify]: Simplify (* 1 1) into 1 6.393 * [backup-simplify]: Simplify (/ 1 1) into 1 6.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.393 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.393 * [taylor]: Taking taylor expansion of x in y 6.393 * [backup-simplify]: Simplify x into x 6.394 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.394 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.394 * [backup-simplify]: Simplify (* 3 1) into 3 6.395 * [backup-simplify]: Simplify (+ 3 0) into 3 6.395 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.397 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.398 * [backup-simplify]: Simplify (+ 0 0) into 0 6.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 6.398 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 6.398 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.398 * [taylor]: Taking taylor expansion of 3 in y 6.398 * [backup-simplify]: Simplify 3 into 3 6.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.399 * [taylor]: Taking taylor expansion of y in y 6.399 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify 1 into 1 6.399 * [backup-simplify]: Simplify (* 1 1) into 1 6.399 * [backup-simplify]: Simplify (/ 1 1) into 1 6.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.399 * [taylor]: Taking taylor expansion of x in y 6.399 * [backup-simplify]: Simplify x into x 6.400 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.400 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.400 * [backup-simplify]: Simplify (* 3 1) into 3 6.401 * [backup-simplify]: Simplify (+ 3 0) into 3 6.401 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.403 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.403 * [backup-simplify]: Simplify (+ 0 0) into 0 6.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.404 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.404 * [taylor]: Taking taylor expansion of 3 in x 6.404 * [backup-simplify]: Simplify 3 into 3 6.405 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.406 * [taylor]: Taking taylor expansion of 0 in x 6.406 * [backup-simplify]: Simplify 0 into 0 6.406 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.408 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.408 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.409 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 3))) into (/ 1/2 (* (pow x 2) (sqrt 3))) 6.410 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 3))) in x 6.410 * [taylor]: Taking taylor expansion of 1/2 in x 6.410 * [backup-simplify]: Simplify 1/2 into 1/2 6.410 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 3)) in x 6.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.410 * [taylor]: Taking taylor expansion of x in x 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 1 into 1 6.410 * [taylor]: Taking taylor expansion of (sqrt 3) in x 6.410 * [taylor]: Taking taylor expansion of 3 in x 6.410 * [backup-simplify]: Simplify 3 into 3 6.410 * [backup-simplify]: Simplify (sqrt 3) into (sqrt 3) 6.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3))) into 0 6.411 * [backup-simplify]: Simplify (* 1 1) into 1 6.411 * [backup-simplify]: Simplify (* 1 (sqrt 3)) into (sqrt 3) 6.412 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3)) into (/ 1/2 (sqrt 3)) 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3))) into 0 6.414 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))))) into 0 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.416 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.416 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.417 * [backup-simplify]: Simplify (+ 0 0) into 0 6.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 3))))))) (* 2 (sqrt 3))) into 0 6.418 * [taylor]: Taking taylor expansion of 0 in x 6.418 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3)))) into 0 6.421 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3)) (+ (* (/ 1/2 (sqrt 3)) (/ 0 (sqrt 3))) (* 0 (/ 0 (sqrt 3))))) into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3))) into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify (* (sqrt 3) (* 1 (/ 1 (/ 1 (- y))))) into (* -1 (* y (sqrt 3))) 6.422 * * * [progress]: simplifying candidates 6.424 * [simplify]: Simplifying: (log (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (exp (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (* (cbrt (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))))) (cbrt (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (* (* (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))) (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (sqrt (* (cbrt (+ (* y y) (+ (* x x) (* y (+ y y))))) (cbrt (+ (* y y) (+ (* x x) (* y (+ y y))))))) (sqrt (cbrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (sqrt 1) (sqrt (+ (* y y) (+ (* x x) (* y (+ y y))))) (sqrt (+ (pow (* y y) 3) (pow (+ (* x x) (* y (+ y y))) 3))) (sqrt (+ (* (* y y) (* y y)) (- (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y)))) (* (* y y) (+ (* x x) (* y (+ y y))))))) (sqrt (- (* (* y y) (* y y)) (* (+ (* x x) (* y (+ y y))) (+ (* x x) (* y (+ y y)))))) (sqrt (- (* y y) (+ (* x x) (* y (+ y y))))) (/ 1 2) (sqrt (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (sqrt (sqrt (+ (* y y) (+ (* x x) (* y (+ y y)))))) (log (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (exp (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (* (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (* (* (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (* (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) (sqrt (cbrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt 1) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt 1) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (pow (+ (pow y 2) (* (* y 2) y)) 3) (pow (pow x 2) 3))) (sqrt (+ (* (+ (pow y 2) (* (* y 2) y)) (+ (pow y 2) (* (* y 2) y))) (- (* (pow x 2) (pow x 2)) (* (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) (sqrt (- (* (+ (pow y 2) (* (* y 2) y)) (+ (pow y 2) (* (* y 2) y))) (* (pow x 2) (pow x 2)))) (sqrt (- (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (/ 1 2) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (log (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (exp (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (* (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))))) (cbrt (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (* (* (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (+ (+ (pow y 2) (* (* y 2) y)) (pow x 2)))) (sqrt (* 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(* (- y) (sqrt 3)) x (* y (sqrt 3)) (* (- y) (sqrt 3)) x (* y (sqrt 3)) (* (- y) (sqrt 3)) x (* y (sqrt 3)) (* (- y) (sqrt 3)) 7.562 * * * [progress]: adding candidates to table 8.491 * [progress]: [Phase 3 of 3] Extracting. 8.491 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 8.498 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 8.498 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # #) 8.600 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # # #) 8.671 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # # # # # #) 8.753 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # #) 8.853 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 8.942 * * * [regime]: Found split indices: #