28.443 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.052 * * [simplify]: Extracting # 0 : cost 0 0.052 * * [simplify]: Extracting # 1 : cost 0 0.052 * * [simplify]: Extracting # 2 : cost 0 0.052 * * [simplify]: Extracting # 3 : cost 0 0.052 * * [simplify]: Extracting # 4 : cost 0 0.052 * * [simplify]: Extracting # 5 : cost 0 0.052 * * [simplify]: Extracting # 6 : cost 0 0.052 * * [simplify]: iteration 0 : 7 enodes (cost 15 ) 0.055 * * [simplify]: Extracting # 0 : cost 0 0.055 * * [simplify]: Extracting # 1 : cost 0 0.055 * * [simplify]: Extracting # 2 : cost 0 0.055 * * [simplify]: iteration 1 : 13 enodes (cost 15 ) 0.060 * * [simplify]: Extracting # 0 : cost 0 0.060 * * [simplify]: Extracting # 1 : cost 0 0.060 * * [simplify]: Extracting # 2 : cost 0 0.060 * * [simplify]: Extracting # 3 : cost 0 0.060 * * [simplify]: Extracting # 4 : cost 0 0.061 * * [simplify]: iteration 2 : 23 enodes (cost 13 ) 0.085 * * [simplify]: Extracting # 0 : cost 0 0.085 * * [simplify]: Extracting # 1 : cost 0 0.085 * * [simplify]: Extracting # 2 : cost 0 0.085 * * [simplify]: Extracting # 3 : cost 0 0.085 * * [simplify]: iteration 3 : 35 enodes (cost 9 ) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: Extracting # 1 : cost 0 0.101 * * [simplify]: iteration 4 : 43 enodes (cost 9 ) 0.116 * * [simplify]: Extracting # 0 : cost 0 0.116 * * [simplify]: iteration 5 : 46 enodes (cost 9 ) 0.131 * * [simplify]: Extracting # 0 : cost 0 0.131 * * [simplify]: iteration done: 46 enodes (cost 9 ) 0.132 * [simplify]: Simplified to: (+ (* x x) (* 3 (* y y))) 0.135 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.139 * * * * [pick]: Picked # 0.140 * * * [progress]: localizing error 0.156 * * * [progress]: generating rewritten candidates 0.157 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.341 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.372 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.383 * * * [progress]: generating series expansions 0.383 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.383 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 0.383 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.383 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [backup-simplify]: Simplify x into x 0.383 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of 3 in y 0.383 * [backup-simplify]: Simplify 3 into 3 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.383 * [taylor]: Taking taylor expansion of 3 in x 0.383 * [backup-simplify]: Simplify 3 into 3 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [backup-simplify]: Simplify y into y 0.383 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of 3 in x 0.384 * [backup-simplify]: Simplify 3 into 3 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [backup-simplify]: Simplify y into y 0.384 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.384 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.384 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 0.384 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of 3 in y 0.384 * [backup-simplify]: Simplify 3 into 3 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.385 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.387 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [taylor]: Taking taylor expansion of 1 in y 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (* 3 1) into 3 0.387 * [backup-simplify]: Simplify 3 into 3 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.388 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.392 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.394 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.394 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [backup-simplify]: Simplify x into x 0.394 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.394 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.394 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.395 * [taylor]: Taking taylor expansion of 3 in y 0.395 * [backup-simplify]: Simplify 3 into 3 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 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.396 * [taylor]: Taking taylor expansion of 3 in x 0.396 * [backup-simplify]: Simplify 3 into 3 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [backup-simplify]: Simplify y into y 0.396 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.396 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.397 * [taylor]: Taking taylor expansion of 3 in x 0.397 * [backup-simplify]: Simplify 3 into 3 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [backup-simplify]: Simplify y into y 0.397 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.397 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.397 * [backup-simplify]: Simplify (+ 1 0) into 1 0.397 * [taylor]: Taking taylor expansion of 1 in y 0.397 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.400 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.400 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.400 * [taylor]: Taking taylor expansion of 3 in y 0.400 * [backup-simplify]: Simplify 3 into 3 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (* 1 1) into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [backup-simplify]: Simplify (* 3 1) into 3 0.401 * [backup-simplify]: Simplify 3 into 3 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) 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 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.409 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.409 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [backup-simplify]: Simplify x into x 0.409 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.409 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.409 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.409 * [taylor]: Taking taylor expansion of 3 in y 0.409 * [backup-simplify]: Simplify 3 into 3 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.411 * [taylor]: Taking taylor expansion of 3 in x 0.411 * [backup-simplify]: Simplify 3 into 3 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.411 * [backup-simplify]: Simplify y into y 0.411 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.411 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.411 * [taylor]: Taking taylor expansion of 3 in x 0.411 * [backup-simplify]: Simplify 3 into 3 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.411 * [backup-simplify]: Simplify y into y 0.412 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.412 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [taylor]: Taking taylor expansion of 1 in y 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.415 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.415 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of 3 in y 0.415 * [backup-simplify]: Simplify 3 into 3 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [backup-simplify]: Simplify (* 3 1) into 3 0.415 * [backup-simplify]: Simplify 3 into 3 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.428 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.428 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2))) 0.428 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.428 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [backup-simplify]: Simplify x into x 0.429 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of 2 in y 0.429 * [backup-simplify]: Simplify 2 into 2 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.429 * [taylor]: Taking taylor expansion of 2 in x 0.429 * [backup-simplify]: Simplify 2 into 2 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [backup-simplify]: Simplify y into y 0.429 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.429 * [taylor]: Taking taylor expansion of 2 in x 0.429 * [backup-simplify]: Simplify 2 into 2 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [backup-simplify]: Simplify y into y 0.430 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.430 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 0.430 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 0.430 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of 2 in y 0.430 * [backup-simplify]: Simplify 2 into 2 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 0.430 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.431 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.433 * [backup-simplify]: Simplify (+ 1 0) into 1 0.433 * [taylor]: Taking taylor expansion of 1 in y 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (* 2 1) into 2 0.434 * [backup-simplify]: Simplify 2 into 2 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [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 (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.440 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 0.440 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [backup-simplify]: Simplify x into x 0.440 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of 2 in y 0.440 * [backup-simplify]: Simplify 2 into 2 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of 2 in x 0.441 * [backup-simplify]: Simplify 2 into 2 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [backup-simplify]: Simplify y into y 0.441 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.441 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of 2 in x 0.442 * [backup-simplify]: Simplify 2 into 2 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [backup-simplify]: Simplify y into y 0.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.442 * [backup-simplify]: Simplify (+ 1 0) into 1 0.443 * [taylor]: Taking taylor expansion of 1 in y 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.445 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 0.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.445 * [taylor]: Taking taylor expansion of 2 in y 0.445 * [backup-simplify]: Simplify 2 into 2 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (* 2 1) into 2 0.446 * [backup-simplify]: Simplify 2 into 2 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.455 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 0.455 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [backup-simplify]: Simplify x into x 0.455 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.455 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.455 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.455 * [taylor]: Taking taylor expansion of 2 in y 0.455 * [backup-simplify]: Simplify 2 into 2 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.456 * [taylor]: Taking taylor expansion of 2 in x 0.456 * [backup-simplify]: Simplify 2 into 2 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.457 * [backup-simplify]: Simplify y into y 0.457 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.457 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.457 * [taylor]: Taking taylor expansion of 2 in x 0.457 * [backup-simplify]: Simplify 2 into 2 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.457 * [backup-simplify]: Simplify y into y 0.457 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.458 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [taylor]: Taking taylor expansion of 1 in y 0.458 * [backup-simplify]: Simplify 1 into 1 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 0) into 0 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.460 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 0.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.460 * [taylor]: Taking taylor expansion of 2 in y 0.460 * [backup-simplify]: Simplify 2 into 2 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [backup-simplify]: Simplify (* 2 1) into 2 0.461 * [backup-simplify]: Simplify 2 into 2 0.461 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.469 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.469 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.469 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [backup-simplify]: Simplify x into x 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [backup-simplify]: Simplify y into y 0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [backup-simplify]: Simplify y into y 0.470 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.470 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.471 * [backup-simplify]: Simplify (+ 1 0) into 1 0.471 * [taylor]: Taking taylor expansion of 1 in y 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (* 1 1) into 1 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.474 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.475 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.475 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [backup-simplify]: Simplify x into x 0.475 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.475 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [backup-simplify]: Simplify y into y 0.477 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.477 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.478 * [backup-simplify]: Simplify y into y 0.478 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.478 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.478 * [taylor]: Taking taylor expansion of 1 in y 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.490 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.490 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [backup-simplify]: Simplify x into x 0.490 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.490 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [backup-simplify]: Simplify y into y 0.492 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.492 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [backup-simplify]: Simplify y into y 0.492 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.492 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.493 * [backup-simplify]: Simplify (+ 1 0) into 1 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.503 * * * [progress]: simplifying candidates 0.504 * [simplify]: Simplifying: (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.505 * * [simplify]: Extracting # 0 : cost 0 0.505 * * [simplify]: Extracting # 1 : cost 0 0.505 * * [simplify]: Extracting # 2 : cost 0 0.505 * * [simplify]: Extracting # 3 : cost 0 0.506 * * [simplify]: Extracting # 4 : cost 0 0.506 * * [simplify]: Extracting # 5 : cost 0 0.506 * * [simplify]: Extracting # 6 : cost 0 0.506 * * [simplify]: iteration 0 : 70 enodes (cost 791 ) 0.522 * * [simplify]: Extracting # 0 : cost 0 0.523 * * [simplify]: Extracting # 1 : cost 0 0.523 * * [simplify]: Extracting # 2 : cost 0 0.523 * * [simplify]: Extracting # 3 : cost 0 0.523 * * [simplify]: Extracting # 4 : cost 0 0.523 * * [simplify]: iteration 1 : 211 enodes (cost 667 ) 0.632 * * [simplify]: Extracting # 0 : cost 0 0.632 * * [simplify]: Extracting # 1 : cost 0 0.633 * * [simplify]: Extracting # 2 : cost 0 0.634 * * [simplify]: Extracting # 3 : cost 0 0.634 * * [simplify]: Extracting # 4 : cost 0 0.635 * * [simplify]: iteration 2 : 725 enodes (cost 591 ) 1.392 * * [simplify]: Extracting # 0 : cost 0 1.398 * * [simplify]: Extracting # 1 : cost 0 1.404 * * [simplify]: Extracting # 2 : cost 0 1.409 * * [simplify]: Extracting # 3 : cost 0 1.414 * * [simplify]: Extracting # 4 : cost 0 1.419 * * [simplify]: iteration 3 : 2852 enodes (cost 513 ) 2.919 * * [simplify]: Extracting # 0 : cost 0 2.929 * * [simplify]: Extracting # 1 : cost 0 2.940 * * [simplify]: Extracting # 2 : cost 0 2.951 * * [simplify]: Extracting # 3 : cost 0 2.960 * * [simplify]: Extracting # 4 : cost 0 2.965 * * [simplify]: iteration done: 5000 enodes (cost 513 ) 2.966 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (pow y 6)) (+ (* (+ (pow x 2) (* 2 (pow y 2))) (+ (* x x) (* y y))) (pow y 4)) (* (+ (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y)) (* 2 (pow y 2)) (exp (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (log (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (+ (pow (+ (pow x 2) (pow y 2)) 3) (pow y 6)) (+ (+ (pow y 4) (* (* x x) (* y y))) (pow x 4)) (* (+ (pow x 2) (* 2 (pow y 2))) (* x x)) (* x x) (* 2 (pow y 2)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 2.966 * * * [progress]: adding candidates to table 3.441 * * [progress]: iteration 2 / 4 3.441 * * * [progress]: picking best candidate 3.471 * * * * [pick]: Picked # 3.471 * * * [progress]: localizing error 3.484 * * * [progress]: generating rewritten candidates 3.484 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 3.502 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.513 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.660 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.754 * * * [progress]: generating series expansions 3.754 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 3.755 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 3.755 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.755 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.755 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.755 * [taylor]: Taking taylor expansion of x in y 3.755 * [backup-simplify]: Simplify x into x 3.755 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.755 * [taylor]: Taking taylor expansion of y in y 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.755 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.755 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.755 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.756 * [backup-simplify]: Simplify (+ 0 0) into 0 3.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.756 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.756 * [taylor]: Taking taylor expansion of x in x 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify 1 into 1 3.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.757 * [taylor]: Taking taylor expansion of y in x 3.757 * [backup-simplify]: Simplify y into y 3.757 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.757 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.757 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.757 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.758 * [backup-simplify]: Simplify (+ 0 0) into 0 3.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.758 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.758 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.758 * [taylor]: Taking taylor expansion of x in x 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.758 * [taylor]: Taking taylor expansion of y in x 3.758 * [backup-simplify]: Simplify y into y 3.758 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.758 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.758 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.758 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.759 * [backup-simplify]: Simplify (+ 0 0) into 0 3.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.759 * [taylor]: Taking taylor expansion of y in y 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify 1 into 1 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [taylor]: Taking taylor expansion of 0 in y 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify 1 into 1 3.760 * [backup-simplify]: Simplify (* 1 1) into 1 3.760 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.761 * [backup-simplify]: Simplify (+ 1 0) into 1 3.762 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.762 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.762 * [taylor]: Taking taylor expansion of 1/2 in y 3.762 * [backup-simplify]: Simplify 1/2 into 1/2 3.762 * [taylor]: Taking taylor expansion of y in y 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.765 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.766 * [taylor]: Taking taylor expansion of 0 in y 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.767 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.767 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.767 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.767 * [taylor]: Taking taylor expansion of x in y 3.767 * [backup-simplify]: Simplify x into x 3.767 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.767 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.767 * [taylor]: Taking taylor expansion of y in y 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify (* 1 1) into 1 3.767 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [backup-simplify]: Simplify (+ 0 1) into 1 3.768 * [backup-simplify]: Simplify (sqrt 1) into 1 3.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (+ 0 0) into 0 3.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.770 * [taylor]: Taking taylor expansion of x in x 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (* 1 1) into 1 3.770 * [backup-simplify]: Simplify (/ 1 1) into 1 3.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.770 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.770 * [taylor]: Taking taylor expansion of y in x 3.770 * [backup-simplify]: Simplify y into y 3.770 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.770 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.771 * [backup-simplify]: Simplify (+ 1 0) into 1 3.771 * [backup-simplify]: Simplify (sqrt 1) into 1 3.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.772 * [backup-simplify]: Simplify (+ 0 0) into 0 3.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.773 * [taylor]: Taking taylor expansion of x in x 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (* 1 1) into 1 3.773 * [backup-simplify]: Simplify (/ 1 1) into 1 3.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.773 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.773 * [taylor]: Taking taylor expansion of y in x 3.773 * [backup-simplify]: Simplify y into y 3.773 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.773 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.774 * [backup-simplify]: Simplify (+ 1 0) into 1 3.774 * [backup-simplify]: Simplify (sqrt 1) into 1 3.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ 0 0) into 0 3.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.775 * [taylor]: Taking taylor expansion of 1 in y 3.775 * [backup-simplify]: Simplify 1 into 1 3.775 * [taylor]: Taking taylor expansion of 0 in y 3.775 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.778 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.778 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.778 * [taylor]: Taking taylor expansion of 1/2 in y 3.778 * [backup-simplify]: Simplify 1/2 into 1/2 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 * [backup-simplify]: Simplify (* 1 1) into 1 3.778 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.781 * [backup-simplify]: Simplify (+ 0 0) into 0 3.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.781 * [taylor]: Taking taylor expansion of 0 in y 3.781 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (/ 1 (/ 1 x)))) into x 3.783 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.783 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.783 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.783 * [taylor]: Taking taylor expansion of x in y 3.783 * [backup-simplify]: Simplify x into x 3.783 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.783 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.783 * [taylor]: Taking taylor expansion of y in y 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 1 into 1 3.783 * [backup-simplify]: Simplify (* 1 1) into 1 3.783 * [backup-simplify]: Simplify (/ 1 1) into 1 3.784 * [backup-simplify]: Simplify (+ 0 1) into 1 3.784 * [backup-simplify]: Simplify (sqrt 1) into 1 3.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 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 3.786 * [taylor]: Taking taylor expansion of x in x 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify 1 into 1 3.786 * [backup-simplify]: Simplify (* 1 1) into 1 3.786 * [backup-simplify]: Simplify (/ 1 1) into 1 3.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.786 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.786 * [taylor]: Taking taylor expansion of y in x 3.786 * [backup-simplify]: Simplify y into y 3.786 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.786 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.787 * [backup-simplify]: Simplify (+ 1 0) into 1 3.787 * [backup-simplify]: Simplify (sqrt 1) into 1 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.788 * [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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.788 * [taylor]: Taking taylor expansion of x in x 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (* 1 1) into 1 3.789 * [backup-simplify]: Simplify (/ 1 1) into 1 3.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.789 * [taylor]: Taking taylor expansion of y in x 3.789 * [backup-simplify]: Simplify y into y 3.789 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.789 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.789 * [backup-simplify]: Simplify (+ 1 0) into 1 3.790 * [backup-simplify]: Simplify (sqrt 1) into 1 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (+ 0 0) into 0 3.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.794 * [taylor]: Taking taylor expansion of 1 in y 3.794 * [backup-simplify]: Simplify 1 into 1 3.795 * [taylor]: Taking taylor expansion of 0 in y 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.798 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.798 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.798 * [taylor]: Taking taylor expansion of 1/2 in y 3.798 * [backup-simplify]: Simplify 1/2 into 1/2 3.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.799 * [taylor]: Taking taylor expansion of y in y 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 1 into 1 3.799 * [backup-simplify]: Simplify (* 1 1) into 1 3.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.804 * [backup-simplify]: Simplify (+ 0 0) into 0 3.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.805 * [taylor]: Taking taylor expansion of 0 in y 3.805 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.807 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.808 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 3.808 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.808 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.808 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.808 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.808 * [taylor]: Taking taylor expansion of x in y 3.808 * [backup-simplify]: Simplify x into x 3.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.808 * [taylor]: Taking taylor expansion of y in y 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.808 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.809 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.809 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.809 * [backup-simplify]: Simplify (+ 0 0) into 0 3.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.809 * [taylor]: Taking taylor expansion of x in x 3.809 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.810 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.810 * [taylor]: Taking taylor expansion of y in x 3.810 * [backup-simplify]: Simplify y into y 3.810 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.810 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.810 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.810 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.811 * [backup-simplify]: Simplify (+ 0 0) into 0 3.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.811 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.811 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.811 * [taylor]: Taking taylor expansion of x in x 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify 1 into 1 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) 3.811 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.812 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.812 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.812 * [backup-simplify]: Simplify (+ 0 0) into 0 3.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.812 * [taylor]: Taking taylor expansion of y in y 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify 0 into 0 3.813 * [taylor]: Taking taylor expansion of 0 in y 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify (* 1 1) into 1 3.814 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.814 * [backup-simplify]: Simplify (+ 1 0) into 1 3.815 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.815 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.815 * [taylor]: Taking taylor expansion of 1/2 in y 3.815 * [backup-simplify]: Simplify 1/2 into 1/2 3.815 * [taylor]: Taking taylor expansion of y in y 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 1 into 1 3.816 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.818 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.819 * [backup-simplify]: Simplify (+ 0 0) into 0 3.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.819 * [taylor]: Taking taylor expansion of 0 in y 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.820 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.820 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.821 * [taylor]: Taking taylor expansion of x in y 3.821 * [backup-simplify]: Simplify x into x 3.821 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.821 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.821 * [taylor]: Taking taylor expansion of y in y 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.822 * [backup-simplify]: Simplify (* 1 1) into 1 3.822 * [backup-simplify]: Simplify (/ 1 1) into 1 3.822 * [backup-simplify]: Simplify (+ 0 1) into 1 3.823 * [backup-simplify]: Simplify (sqrt 1) into 1 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (+ 0 0) into 0 3.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [backup-simplify]: Simplify (* 1 1) into 1 3.826 * [backup-simplify]: Simplify (/ 1 1) into 1 3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.827 * [taylor]: Taking taylor expansion of y in x 3.827 * [backup-simplify]: Simplify y into y 3.827 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.827 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.828 * [backup-simplify]: Simplify (+ 1 0) into 1 3.828 * [backup-simplify]: Simplify (sqrt 1) into 1 3.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.830 * [backup-simplify]: Simplify (+ 0 0) into 0 3.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.831 * [taylor]: Taking taylor expansion of x in x 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 1 into 1 3.831 * [backup-simplify]: Simplify (* 1 1) into 1 3.832 * [backup-simplify]: Simplify (/ 1 1) into 1 3.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.832 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.832 * [taylor]: Taking taylor expansion of y in x 3.832 * [backup-simplify]: Simplify y into y 3.832 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.832 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.832 * [backup-simplify]: Simplify (+ 1 0) into 1 3.833 * [backup-simplify]: Simplify (sqrt 1) into 1 3.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.835 * [backup-simplify]: Simplify (+ 0 0) into 0 3.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.836 * [taylor]: Taking taylor expansion of 1 in y 3.836 * [backup-simplify]: Simplify 1 into 1 3.836 * [taylor]: Taking taylor expansion of 0 in y 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 1 into 1 3.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.839 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.839 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.839 * [taylor]: Taking taylor expansion of 1/2 in y 3.839 * [backup-simplify]: Simplify 1/2 into 1/2 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 3.840 * [backup-simplify]: Simplify (* 1 1) into 1 3.840 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) 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 0) (+ (* 0 0) (* 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.845 * [taylor]: Taking taylor expansion of 0 in y 3.845 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.848 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.848 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 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)) 3.848 * [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 3.849 * [backup-simplify]: Simplify (* 1 1) into 1 3.849 * [backup-simplify]: Simplify (/ 1 1) into 1 3.849 * [backup-simplify]: Simplify (+ 0 1) into 1 3.850 * [backup-simplify]: Simplify (sqrt 1) into 1 3.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.853 * [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 3.854 * [backup-simplify]: Simplify (/ 1 1) into 1 3.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.854 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.854 * [taylor]: Taking taylor expansion of y in x 3.854 * [backup-simplify]: Simplify y into y 3.854 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.854 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.855 * [backup-simplify]: Simplify (+ 1 0) into 1 3.855 * [backup-simplify]: Simplify (sqrt 1) into 1 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (+ 0 0) into 0 3.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.857 * [taylor]: Taking taylor expansion of x in x 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 1 into 1 3.857 * [backup-simplify]: Simplify (* 1 1) into 1 3.858 * [backup-simplify]: Simplify (/ 1 1) into 1 3.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.858 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.858 * [taylor]: Taking taylor expansion of y in x 3.858 * [backup-simplify]: Simplify y into y 3.858 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.858 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.858 * [backup-simplify]: Simplify (+ 1 0) into 1 3.858 * [backup-simplify]: Simplify (sqrt 1) into 1 3.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (+ 0 0) into 0 3.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.860 * [taylor]: Taking taylor expansion of 1 in y 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [taylor]: Taking taylor expansion of 0 in y 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.862 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.862 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.862 * [taylor]: Taking taylor expansion of 1/2 in y 3.862 * [backup-simplify]: Simplify 1/2 into 1/2 3.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.862 * [taylor]: Taking taylor expansion of y in y 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 3.863 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.865 * [backup-simplify]: Simplify (+ 0 0) into 0 3.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.866 * [taylor]: Taking taylor expansion of 0 in y 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.867 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.867 * [backup-simplify]: Simplify (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 3.867 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 3.867 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 3.867 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.867 * [taylor]: Taking taylor expansion of x in y 3.867 * [backup-simplify]: Simplify x into x 3.867 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.867 * [taylor]: Taking taylor expansion of 3 in y 3.867 * [backup-simplify]: Simplify 3 into 3 3.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.868 * [taylor]: Taking taylor expansion of y in y 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.868 * [taylor]: Taking taylor expansion of x in x 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.868 * [taylor]: Taking taylor expansion of 3 in x 3.868 * [backup-simplify]: Simplify 3 into 3 3.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.868 * [taylor]: Taking taylor expansion of y in x 3.868 * [backup-simplify]: Simplify y into y 3.868 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.868 * [taylor]: Taking taylor expansion of x in x 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.868 * [taylor]: Taking taylor expansion of 3 in x 3.868 * [backup-simplify]: Simplify 3 into 3 3.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.868 * [taylor]: Taking taylor expansion of y in x 3.868 * [backup-simplify]: Simplify y into y 3.868 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.868 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 3.868 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 3.868 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.868 * [taylor]: Taking taylor expansion of 3 in y 3.868 * [backup-simplify]: Simplify 3 into 3 3.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.868 * [taylor]: Taking taylor expansion of y in y 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.869 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.869 * [taylor]: Taking taylor expansion of 0 in y 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify (* 1 1) into 1 3.870 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.870 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.870 * [backup-simplify]: Simplify (+ 1 0) into 1 3.870 * [taylor]: Taking taylor expansion of 1 in y 3.870 * [backup-simplify]: Simplify 1 into 1 3.870 * [backup-simplify]: Simplify 1 into 1 3.870 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify (* 1 1) into 1 3.871 * [backup-simplify]: Simplify (* 3 1) into 3 3.871 * [backup-simplify]: Simplify 3 into 3 3.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.872 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [taylor]: Taking taylor expansion of 0 in y 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.874 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.875 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.876 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 3.877 * [backup-simplify]: Simplify (+ 0 0) into 0 3.877 * [taylor]: Taking taylor expansion of 0 in y 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 3.877 * [backup-simplify]: Simplify (+ (+ (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 3.877 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 3.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.878 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.878 * [taylor]: Taking taylor expansion of x in y 3.878 * [backup-simplify]: Simplify x into x 3.878 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.878 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.878 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.878 * [taylor]: Taking taylor expansion of 3 in y 3.878 * [backup-simplify]: Simplify 3 into 3 3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.878 * [taylor]: Taking taylor expansion of y in y 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (* 1 1) into 1 3.878 * [backup-simplify]: Simplify (/ 1 1) into 1 3.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.878 * [taylor]: Taking taylor expansion of x in x 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.879 * [backup-simplify]: Simplify (/ 1 1) into 1 3.879 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.879 * [taylor]: Taking taylor expansion of 3 in x 3.879 * [backup-simplify]: Simplify 3 into 3 3.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.879 * [taylor]: Taking taylor expansion of y in x 3.879 * [backup-simplify]: Simplify y into y 3.879 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.879 * [taylor]: Taking taylor expansion of x in x 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (* 1 1) into 1 3.880 * [backup-simplify]: Simplify (/ 1 1) into 1 3.880 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.880 * [taylor]: Taking taylor expansion of 3 in x 3.880 * [backup-simplify]: Simplify 3 into 3 3.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.880 * [taylor]: Taking taylor expansion of y in x 3.880 * [backup-simplify]: Simplify y into y 3.880 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.880 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.880 * [backup-simplify]: Simplify (+ 1 0) into 1 3.881 * [taylor]: Taking taylor expansion of 1 in y 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [taylor]: Taking taylor expansion of 0 in y 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 3.883 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 3.883 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.883 * [taylor]: Taking taylor expansion of 3 in y 3.883 * [backup-simplify]: Simplify 3 into 3 3.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.883 * [taylor]: Taking taylor expansion of y in y 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (* 1 1) into 1 3.884 * [backup-simplify]: Simplify (/ 1 1) into 1 3.884 * [backup-simplify]: Simplify (* 3 1) into 3 3.884 * [backup-simplify]: Simplify 3 into 3 3.884 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.886 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 3.886 * [backup-simplify]: Simplify (+ 0 0) into 0 3.886 * [taylor]: Taking taylor expansion of 0 in y 3.886 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.891 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.891 * [backup-simplify]: Simplify (+ 0 0) into 0 3.891 * [taylor]: Taking taylor expansion of 0 in y 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 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 (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 3.896 * [backup-simplify]: Simplify (+ (+ (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 3.896 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 3.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.896 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.896 * [taylor]: Taking taylor expansion of x in y 3.896 * [backup-simplify]: Simplify x into x 3.896 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.897 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 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 3.898 * [backup-simplify]: Simplify (/ 1 1) into 1 3.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.898 * [taylor]: Taking taylor expansion of x in x 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 (* 3 (/ 1 (pow y 2))) in x 3.899 * [taylor]: Taking taylor expansion of 3 in x 3.899 * [backup-simplify]: Simplify 3 into 3 3.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.899 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.899 * [taylor]: Taking taylor expansion of y in x 3.899 * [backup-simplify]: Simplify y into y 3.899 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.900 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.900 * [taylor]: Taking taylor expansion of x in x 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (* 1 1) into 1 3.901 * [backup-simplify]: Simplify (/ 1 1) into 1 3.901 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.901 * [taylor]: Taking taylor expansion of 3 in x 3.901 * [backup-simplify]: Simplify 3 into 3 3.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.901 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.901 * [taylor]: Taking taylor expansion of y in x 3.901 * [backup-simplify]: Simplify y into y 3.901 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.902 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.902 * [backup-simplify]: Simplify (+ 1 0) into 1 3.902 * [taylor]: Taking taylor expansion of 1 in y 3.902 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (+ 0 0) into 0 3.904 * [taylor]: Taking taylor expansion of 0 in y 3.904 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 3.906 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 3.906 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.907 * [taylor]: Taking taylor expansion of 3 in y 3.907 * [backup-simplify]: Simplify 3 into 3 3.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.907 * [taylor]: Taking taylor expansion of y in y 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (* 1 1) into 1 3.907 * [backup-simplify]: Simplify (/ 1 1) into 1 3.908 * [backup-simplify]: Simplify (* 3 1) into 3 3.908 * [backup-simplify]: Simplify 3 into 3 3.908 * [backup-simplify]: Simplify 1 into 1 3.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.911 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 3.912 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [taylor]: Taking taylor expansion of 0 in y 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.917 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.918 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.919 * [backup-simplify]: Simplify (+ 0 0) into 0 3.919 * [taylor]: Taking taylor expansion of 0 in y 3.919 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 3.923 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.923 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2)) 3.923 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.923 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.923 * [taylor]: Taking taylor expansion of y in y 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.924 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.924 * [taylor]: Taking taylor expansion of x in x 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.924 * [taylor]: Taking taylor expansion of y in x 3.924 * [backup-simplify]: Simplify y into y 3.924 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.924 * [taylor]: Taking taylor expansion of x in x 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.924 * [taylor]: Taking taylor expansion of y in x 3.924 * [backup-simplify]: Simplify y into y 3.924 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.924 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.924 * [taylor]: Taking taylor expansion of y in y 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.925 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.925 * [backup-simplify]: Simplify (+ 0 0) into 0 3.925 * [taylor]: Taking taylor expansion of 0 in y 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify (* 1 1) into 1 3.926 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.927 * [backup-simplify]: Simplify (+ 1 0) into 1 3.927 * [taylor]: Taking taylor expansion of 1 in y 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify (* 1 1) into 1 3.927 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.929 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.929 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [taylor]: Taking taylor expansion of 0 in y 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.930 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.936 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.937 * [backup-simplify]: Simplify (+ 0 0) into 0 3.937 * [taylor]: Taking taylor expansion of 0 in y 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 3.938 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.938 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.938 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.938 * [taylor]: Taking taylor expansion of x in y 3.938 * [backup-simplify]: Simplify x into x 3.938 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.939 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.939 * [taylor]: Taking taylor expansion of y in y 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify (* 1 1) into 1 3.940 * [backup-simplify]: Simplify (/ 1 1) into 1 3.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.940 * [taylor]: Taking taylor expansion of x in x 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.940 * [backup-simplify]: Simplify (* 1 1) into 1 3.941 * [backup-simplify]: Simplify (/ 1 1) into 1 3.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.941 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.941 * [taylor]: Taking taylor expansion of y in x 3.941 * [backup-simplify]: Simplify y into y 3.941 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.941 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.941 * [taylor]: Taking taylor expansion of x in x 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify 1 into 1 3.942 * [backup-simplify]: Simplify (* 1 1) into 1 3.942 * [backup-simplify]: Simplify (/ 1 1) into 1 3.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.942 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.942 * [taylor]: Taking taylor expansion of y in x 3.942 * [backup-simplify]: Simplify y into y 3.942 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.943 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.943 * [backup-simplify]: Simplify (+ 1 0) into 1 3.943 * [taylor]: Taking taylor expansion of 1 in y 3.943 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.945 * [backup-simplify]: Simplify (+ 0 0) into 0 3.945 * [taylor]: Taking taylor expansion of 0 in y 3.945 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.947 * [taylor]: Taking taylor expansion of y in y 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (* 1 1) into 1 3.948 * [backup-simplify]: Simplify (/ 1 1) into 1 3.948 * [backup-simplify]: Simplify 1 into 1 3.948 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.951 * [backup-simplify]: Simplify (+ 0 0) into 0 3.951 * [taylor]: Taking taylor expansion of 0 in y 3.951 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.956 * [backup-simplify]: Simplify (+ 0 0) into 0 3.956 * [taylor]: Taking taylor expansion of 0 in y 3.956 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.960 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.960 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.960 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.960 * [taylor]: Taking taylor expansion of x in y 3.960 * [backup-simplify]: Simplify x into x 3.960 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.960 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.960 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.960 * [taylor]: Taking taylor expansion of y in y 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 1 into 1 3.961 * [backup-simplify]: Simplify (* 1 1) into 1 3.961 * [backup-simplify]: Simplify (/ 1 1) into 1 3.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.962 * [taylor]: Taking taylor expansion of x in x 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [backup-simplify]: Simplify (* 1 1) into 1 3.963 * [backup-simplify]: Simplify (/ 1 1) into 1 3.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.963 * [taylor]: Taking taylor expansion of y in x 3.963 * [backup-simplify]: Simplify y into y 3.963 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.963 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.963 * [taylor]: Taking taylor expansion of x in x 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (/ 1 1) into 1 3.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.965 * [taylor]: Taking taylor expansion of y in x 3.965 * [backup-simplify]: Simplify y into y 3.965 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.965 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.966 * [backup-simplify]: Simplify (+ 1 0) into 1 3.966 * [taylor]: Taking taylor expansion of 1 in y 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (+ 0 0) into 0 3.968 * [taylor]: Taking taylor expansion of 0 in y 3.968 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.970 * [taylor]: Taking taylor expansion of y in y 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify 1 into 1 3.970 * [backup-simplify]: Simplify (* 1 1) into 1 3.971 * [backup-simplify]: Simplify (/ 1 1) into 1 3.971 * [backup-simplify]: Simplify 1 into 1 3.971 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.973 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.973 * [backup-simplify]: Simplify (+ 0 0) into 0 3.974 * [taylor]: Taking taylor expansion of 0 in y 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.978 * [backup-simplify]: Simplify (+ 0 0) into 0 3.978 * [taylor]: Taking taylor expansion of 0 in y 3.978 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.981 * * * [progress]: simplifying candidates 3.984 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (* (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* y y))) (exp (* y y))) (* (exp (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y))) (exp (* y y))) (log (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y))) (exp (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y))) (* (cbrt (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y))) (cbrt (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y)))) (cbrt (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y))) (* (* (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y)) (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y))) (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y))) (sqrt (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y))) (sqrt (+ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y))) (+ (pow (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y))) (- (* (* y y) (* y y)) (* (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y)))) (- (* (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y))) (* (* y y) (* y y))) (- (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* y y)) (* y y)) (+ (* y y) (* y y)) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 3.989 * * [simplify]: Extracting # 0 : cost 0 3.989 * * [simplify]: Extracting # 1 : cost 0 3.989 * * [simplify]: Extracting # 2 : cost 0 3.989 * * [simplify]: Extracting # 3 : cost 0 3.990 * * [simplify]: Extracting # 4 : cost 0 3.990 * * [simplify]: Extracting # 5 : cost 0 3.990 * * [simplify]: Extracting # 6 : cost 0 3.991 * * [simplify]: Extracting # 7 : cost 0 3.991 * * [simplify]: iteration 0 : 111 enodes (cost 2347 ) 4.037 * * [simplify]: Extracting # 0 : cost 0 4.037 * * [simplify]: Extracting # 1 : cost 0 4.037 * * [simplify]: Extracting # 2 : cost 0 4.038 * * [simplify]: Extracting # 3 : cost 0 4.038 * * [simplify]: Extracting # 4 : cost 0 4.038 * * [simplify]: Extracting # 5 : cost 0 4.038 * * [simplify]: iteration 1 : 249 enodes (cost 1542 ) 4.142 * * [simplify]: Extracting # 0 : cost 0 4.143 * * [simplify]: Extracting # 1 : cost 0 4.148 * * [simplify]: Extracting # 2 : cost 0 4.150 * * [simplify]: Extracting # 3 : cost 0 4.151 * * [simplify]: Extracting # 4 : cost 0 4.153 * * [simplify]: Extracting # 5 : cost 0 4.154 * * [simplify]: iteration 2 : 778 enodes (cost 1300 ) 4.893 * * [simplify]: Extracting # 0 : cost 0 4.900 * * [simplify]: Extracting # 1 : cost 0 4.906 * * [simplify]: Extracting # 2 : cost 0 4.911 * * [simplify]: Extracting # 3 : cost 0 4.916 * * [simplify]: Extracting # 4 : cost 0 4.921 * * [simplify]: iteration 3 : 2800 enodes (cost 1201 ) 6.232 * * [simplify]: Extracting # 0 : cost 0 6.244 * * [simplify]: Extracting # 1 : cost 0 6.253 * * [simplify]: Extracting # 2 : cost 0 6.263 * * [simplify]: Extracting # 3 : cost 0 6.272 * * [simplify]: Extracting # 4 : cost 0 6.281 * * [simplify]: iteration done: 5000 enodes (cost 1179 ) 6.282 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ x y) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ x y) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow y 6) (pow (+ (* x x) (* 2 (* y y))) 3)) (+ (pow y 4) (* (+ (* 2 (* y y)) (* x x)) (+ (* x x) (* y y)))) (* (+ (pow x 2) (* 3 (pow y 2))) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* 2 (* y y)) 1 1 2 1 1 (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (cbrt (+ (pow y 2) (pow x 2)))) 4) (cbrt (+ (pow y 2) (pow x 2))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (+ (* x x) (* y y))) 4) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))) (sqrt (- (* x x) (* y y)))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (cbrt (+ (pow y 2) (pow x 2)))) 4) (cbrt (+ (pow y 2) (pow x 2))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) y x (- x) y x (- x) (+ (* x x) (* 3 (pow y 2))) (+ (* x x) (* 3 (pow y 2))) (+ (* x x) (* 3 (pow y 2))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 6.283 * * * [progress]: adding candidates to table 6.556 * * [progress]: iteration 3 / 4 6.556 * * * [progress]: picking best candidate 6.580 * * * * [pick]: Picked # 6.581 * * * [progress]: localizing error 6.601 * * * [progress]: generating rewritten candidates 6.601 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 6.621 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.651 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.749 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.799 * * * [progress]: generating series expansions 6.799 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 6.800 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (* 2 (pow y 2)))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 6.800 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 6.800 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 6.800 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 6.800 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.800 * [taylor]: Taking taylor expansion of x in y 6.800 * [backup-simplify]: Simplify x into x 6.800 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.800 * [taylor]: Taking taylor expansion of 2 in y 6.800 * [backup-simplify]: Simplify 2 into 2 6.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.800 * [taylor]: Taking taylor expansion of y in y 6.800 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify 1 into 1 6.800 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.800 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.800 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.800 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.801 * [backup-simplify]: Simplify (+ 0 0) into 0 6.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.801 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.801 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.801 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.801 * [taylor]: Taking taylor expansion of x in x 6.801 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify 1 into 1 6.802 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.802 * [taylor]: Taking taylor expansion of 2 in x 6.802 * [backup-simplify]: Simplify 2 into 2 6.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.802 * [taylor]: Taking taylor expansion of y in x 6.802 * [backup-simplify]: Simplify y into y 6.802 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.802 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.802 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.802 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.802 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.803 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.803 * [backup-simplify]: Simplify (+ 0 0) into 0 6.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.804 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.804 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.804 * [taylor]: Taking taylor expansion of x in x 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 1 into 1 6.804 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.804 * [taylor]: Taking taylor expansion of 2 in x 6.804 * [backup-simplify]: Simplify 2 into 2 6.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.804 * [taylor]: Taking taylor expansion of y in x 6.804 * [backup-simplify]: Simplify y into y 6.804 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.804 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.804 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.804 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.804 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.805 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.805 * [backup-simplify]: Simplify (+ 0 0) into 0 6.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.806 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.806 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.806 * [taylor]: Taking taylor expansion of 2 in y 6.806 * [backup-simplify]: Simplify 2 into 2 6.806 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.807 * [taylor]: Taking taylor expansion of y in y 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify 1 into 1 6.808 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [taylor]: Taking taylor expansion of 0 in y 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify 0 into 0 6.810 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.810 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.811 * [backup-simplify]: Simplify (* 1 1) into 1 6.811 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.812 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.812 * [backup-simplify]: Simplify (+ 1 0) into 1 6.814 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 6.814 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 6.814 * [taylor]: Taking taylor expansion of 1/2 in y 6.814 * [backup-simplify]: Simplify 1/2 into 1/2 6.814 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.814 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.814 * [taylor]: Taking taylor expansion of 2 in y 6.814 * [backup-simplify]: Simplify 2 into 2 6.814 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.815 * [taylor]: Taking taylor expansion of y in y 6.815 * [backup-simplify]: Simplify 0 into 0 6.815 * [backup-simplify]: Simplify 1 into 1 6.816 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.817 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.818 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 6.819 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.820 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.822 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.824 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.826 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.827 * [backup-simplify]: Simplify (+ 0 0) into 0 6.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 6.828 * [taylor]: Taking taylor expansion of 0 in y 6.828 * [backup-simplify]: Simplify 0 into 0 6.828 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.831 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.832 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 6.832 * [backup-simplify]: Simplify 0 into 0 6.832 * [backup-simplify]: Simplify 0 into 0 6.832 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 6.833 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 x) 2) (* 2 (pow (/ 1 y) 2)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 6.833 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 6.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.833 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.833 * [taylor]: Taking taylor expansion of x in y 6.833 * [backup-simplify]: Simplify x into x 6.833 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.833 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.833 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.833 * [taylor]: Taking taylor expansion of 2 in y 6.833 * [backup-simplify]: Simplify 2 into 2 6.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.833 * [taylor]: Taking taylor expansion of y in y 6.834 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify 1 into 1 6.834 * [backup-simplify]: Simplify (* 1 1) into 1 6.834 * [backup-simplify]: Simplify (/ 1 1) into 1 6.835 * [backup-simplify]: Simplify (* 2 1) into 2 6.835 * [backup-simplify]: Simplify (+ 0 2) into 2 6.835 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.837 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.838 * [backup-simplify]: Simplify (+ 0 0) into 0 6.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.838 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.838 * [taylor]: Taking taylor expansion of x in x 6.839 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify 1 into 1 6.843 * [backup-simplify]: Simplify (* 1 1) into 1 6.844 * [backup-simplify]: Simplify (/ 1 1) into 1 6.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.844 * [taylor]: Taking taylor expansion of 2 in x 6.844 * [backup-simplify]: Simplify 2 into 2 6.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.844 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.844 * [taylor]: Taking taylor expansion of y in x 6.844 * [backup-simplify]: Simplify y into y 6.844 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.844 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.845 * [backup-simplify]: Simplify (+ 1 0) into 1 6.845 * [backup-simplify]: Simplify (sqrt 1) into 1 6.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.847 * [backup-simplify]: Simplify (+ 0 0) into 0 6.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.848 * [taylor]: Taking taylor expansion of x in x 6.848 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 1 into 1 6.849 * [backup-simplify]: Simplify (* 1 1) into 1 6.849 * [backup-simplify]: Simplify (/ 1 1) into 1 6.849 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.849 * [taylor]: Taking taylor expansion of 2 in x 6.849 * [backup-simplify]: Simplify 2 into 2 6.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.849 * [taylor]: Taking taylor expansion of y in x 6.849 * [backup-simplify]: Simplify y into y 6.850 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.850 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.850 * [backup-simplify]: Simplify (+ 1 0) into 1 6.851 * [backup-simplify]: Simplify (sqrt 1) into 1 6.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.852 * [backup-simplify]: Simplify (+ 0 0) into 0 6.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.853 * [taylor]: Taking taylor expansion of 1 in y 6.853 * [backup-simplify]: Simplify 1 into 1 6.853 * [taylor]: Taking taylor expansion of 0 in y 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify 1 into 1 6.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.855 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.855 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.857 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 6.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.857 * [taylor]: Taking taylor expansion of y in y 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 1 into 1 6.857 * [backup-simplify]: Simplify (* 1 1) into 1 6.857 * [backup-simplify]: Simplify (/ 1 1) into 1 6.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.861 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.862 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.862 * [backup-simplify]: Simplify (+ 0 0) into 0 6.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 6.863 * [taylor]: Taking taylor expansion of 0 in y 6.863 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 6.865 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- x)) 2) (* 2 (pow (/ 1 (- y)) 2)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 6.865 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 6.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.865 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.866 * [taylor]: Taking taylor expansion of x in y 6.866 * [backup-simplify]: Simplify x into x 6.866 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.866 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.866 * [taylor]: Taking taylor expansion of 2 in y 6.866 * [backup-simplify]: Simplify 2 into 2 6.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.866 * [taylor]: Taking taylor expansion of y in y 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify (* 1 1) into 1 6.867 * [backup-simplify]: Simplify (/ 1 1) into 1 6.867 * [backup-simplify]: Simplify (* 2 1) into 2 6.868 * [backup-simplify]: Simplify (+ 0 2) into 2 6.868 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.870 * [backup-simplify]: Simplify (+ 0 0) into 0 6.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.871 * [taylor]: Taking taylor expansion of x in x 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 1 into 1 6.872 * [backup-simplify]: Simplify (* 1 1) into 1 6.872 * [backup-simplify]: Simplify (/ 1 1) into 1 6.872 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.872 * [taylor]: Taking taylor expansion of 2 in x 6.872 * [backup-simplify]: Simplify 2 into 2 6.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.872 * [taylor]: Taking taylor expansion of y in x 6.872 * [backup-simplify]: Simplify y into y 6.872 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.872 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.873 * [backup-simplify]: Simplify (+ 1 0) into 1 6.873 * [backup-simplify]: Simplify (sqrt 1) into 1 6.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.876 * [taylor]: Taking taylor expansion of x in x 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify 1 into 1 6.877 * [backup-simplify]: Simplify (* 1 1) into 1 6.877 * [backup-simplify]: Simplify (/ 1 1) into 1 6.877 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.877 * [taylor]: Taking taylor expansion of 2 in x 6.877 * [backup-simplify]: Simplify 2 into 2 6.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.877 * [taylor]: Taking taylor expansion of y in x 6.877 * [backup-simplify]: Simplify y into y 6.877 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.877 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.878 * [backup-simplify]: Simplify (+ 1 0) into 1 6.878 * [backup-simplify]: Simplify (sqrt 1) into 1 6.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.880 * [backup-simplify]: Simplify (+ 0 0) into 0 6.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.881 * [taylor]: Taking taylor expansion of 1 in y 6.881 * [backup-simplify]: Simplify 1 into 1 6.881 * [taylor]: Taking taylor expansion of 0 in y 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 1 into 1 6.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.882 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.882 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.883 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 6.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.883 * [taylor]: Taking taylor expansion of y in y 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify 1 into 1 6.883 * [backup-simplify]: Simplify (* 1 1) into 1 6.884 * [backup-simplify]: Simplify (/ 1 1) into 1 6.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.887 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.888 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.888 * [backup-simplify]: Simplify (+ 0 0) into 0 6.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 6.889 * [taylor]: Taking taylor expansion of 0 in y 6.889 * [backup-simplify]: Simplify 0 into 0 6.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 6.891 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.891 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (* 2 (pow y 2)))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 6.891 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 6.891 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 6.892 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 6.892 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.892 * [taylor]: Taking taylor expansion of x in y 6.892 * [backup-simplify]: Simplify x into x 6.892 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.892 * [taylor]: Taking taylor expansion of 2 in y 6.892 * [backup-simplify]: Simplify 2 into 2 6.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.892 * [taylor]: Taking taylor expansion of y in y 6.892 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify 1 into 1 6.892 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.892 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.892 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.892 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.893 * [backup-simplify]: Simplify (+ 0 0) into 0 6.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.893 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.893 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.893 * [taylor]: Taking taylor expansion of x in x 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify 1 into 1 6.893 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.893 * [taylor]: Taking taylor expansion of 2 in x 6.893 * [backup-simplify]: Simplify 2 into 2 6.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.893 * [taylor]: Taking taylor expansion of y in x 6.893 * [backup-simplify]: Simplify y into y 6.893 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.893 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.893 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.894 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.894 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.895 * [backup-simplify]: Simplify (+ 0 0) into 0 6.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.895 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.895 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.895 * [taylor]: Taking taylor expansion of x in x 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.895 * [taylor]: Taking taylor expansion of 2 in x 6.895 * [backup-simplify]: Simplify 2 into 2 6.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.895 * [taylor]: Taking taylor expansion of y in x 6.895 * [backup-simplify]: Simplify y into y 6.895 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.895 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.896 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.896 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.896 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.896 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.897 * [backup-simplify]: Simplify (+ 0 0) into 0 6.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.897 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.897 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.897 * [taylor]: Taking taylor expansion of 2 in y 6.897 * [backup-simplify]: Simplify 2 into 2 6.898 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.898 * [taylor]: Taking taylor expansion of y in y 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 1 into 1 6.899 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [taylor]: Taking taylor expansion of 0 in y 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.901 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.902 * [backup-simplify]: Simplify (* 1 1) into 1 6.902 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.903 * [backup-simplify]: Simplify (+ 1 0) into 1 6.904 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 6.904 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 6.904 * [taylor]: Taking taylor expansion of 1/2 in y 6.904 * [backup-simplify]: Simplify 1/2 into 1/2 6.905 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.905 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.905 * [taylor]: Taking taylor expansion of 2 in y 6.905 * [backup-simplify]: Simplify 2 into 2 6.905 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.906 * [taylor]: Taking taylor expansion of y in y 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify 1 into 1 6.906 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.907 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.908 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 6.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.910 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.911 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.913 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.913 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.915 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.916 * [backup-simplify]: Simplify (+ 0 0) into 0 6.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 6.918 * [taylor]: Taking taylor expansion of 0 in y 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.920 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.921 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 6.922 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 x) 2) (* 2 (pow (/ 1 y) 2)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 6.922 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 6.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.923 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.923 * [taylor]: Taking taylor expansion of x in y 6.923 * [backup-simplify]: Simplify x into x 6.923 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.923 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.923 * [taylor]: Taking taylor expansion of 2 in y 6.923 * [backup-simplify]: Simplify 2 into 2 6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.923 * [taylor]: Taking taylor expansion of y in y 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.923 * [backup-simplify]: Simplify (* 1 1) into 1 6.924 * [backup-simplify]: Simplify (/ 1 1) into 1 6.924 * [backup-simplify]: Simplify (* 2 1) into 2 6.925 * [backup-simplify]: Simplify (+ 0 2) into 2 6.925 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.927 * [backup-simplify]: Simplify (+ 0 0) into 0 6.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.928 * [taylor]: Taking taylor expansion of x in x 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify 1 into 1 6.929 * [backup-simplify]: Simplify (* 1 1) into 1 6.929 * [backup-simplify]: Simplify (/ 1 1) into 1 6.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.929 * [taylor]: Taking taylor expansion of 2 in x 6.929 * [backup-simplify]: Simplify 2 into 2 6.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.929 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.929 * [taylor]: Taking taylor expansion of y in x 6.929 * [backup-simplify]: Simplify y into y 6.929 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.929 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.930 * [backup-simplify]: Simplify (+ 1 0) into 1 6.930 * [backup-simplify]: Simplify (sqrt 1) into 1 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.932 * [backup-simplify]: Simplify (+ 0 0) into 0 6.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.933 * [taylor]: Taking taylor expansion of x in x 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify 1 into 1 6.933 * [backup-simplify]: Simplify (* 1 1) into 1 6.934 * [backup-simplify]: Simplify (/ 1 1) into 1 6.934 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.934 * [taylor]: Taking taylor expansion of 2 in x 6.934 * [backup-simplify]: Simplify 2 into 2 6.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.934 * [taylor]: Taking taylor expansion of y in x 6.934 * [backup-simplify]: Simplify y into y 6.934 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.934 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.934 * [backup-simplify]: Simplify (+ 1 0) into 1 6.935 * [backup-simplify]: Simplify (sqrt 1) into 1 6.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.936 * [backup-simplify]: Simplify (+ 0 0) into 0 6.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.937 * [taylor]: Taking taylor expansion of 1 in y 6.937 * [backup-simplify]: Simplify 1 into 1 6.937 * [taylor]: Taking taylor expansion of 0 in y 6.937 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify 1 into 1 6.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.939 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.940 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.941 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 6.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.941 * [taylor]: Taking taylor expansion of y in y 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 1 into 1 6.941 * [backup-simplify]: Simplify (* 1 1) into 1 6.942 * [backup-simplify]: Simplify (/ 1 1) into 1 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.946 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.947 * [backup-simplify]: Simplify (+ 0 0) into 0 6.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 6.947 * [taylor]: Taking taylor expansion of 0 in y 6.947 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 6.950 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- x)) 2) (* 2 (pow (/ 1 (- y)) 2)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 6.950 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 6.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.950 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.950 * [taylor]: Taking taylor expansion of x in y 6.950 * [backup-simplify]: Simplify x into x 6.950 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.950 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.950 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.950 * [taylor]: Taking taylor expansion of 2 in y 6.950 * [backup-simplify]: Simplify 2 into 2 6.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.950 * [taylor]: Taking taylor expansion of y in y 6.950 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 1 into 1 6.951 * [backup-simplify]: Simplify (* 1 1) into 1 6.951 * [backup-simplify]: Simplify (/ 1 1) into 1 6.952 * [backup-simplify]: Simplify (* 2 1) into 2 6.952 * [backup-simplify]: Simplify (+ 0 2) into 2 6.952 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.954 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.955 * [backup-simplify]: Simplify (+ 0 0) into 0 6.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.956 * [taylor]: Taking taylor expansion of x in x 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [backup-simplify]: Simplify (* 1 1) into 1 6.956 * [backup-simplify]: Simplify (/ 1 1) into 1 6.956 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.956 * [taylor]: Taking taylor expansion of 2 in x 6.956 * [backup-simplify]: Simplify 2 into 2 6.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.956 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.957 * [taylor]: Taking taylor expansion of y in x 6.957 * [backup-simplify]: Simplify y into y 6.957 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.957 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.957 * [backup-simplify]: Simplify (+ 1 0) into 1 6.958 * [backup-simplify]: Simplify (sqrt 1) into 1 6.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.960 * [backup-simplify]: Simplify (+ 0 0) into 0 6.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.961 * [taylor]: Taking taylor expansion of x in x 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify 1 into 1 6.961 * [backup-simplify]: Simplify (* 1 1) into 1 6.962 * [backup-simplify]: Simplify (/ 1 1) into 1 6.962 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.962 * [taylor]: Taking taylor expansion of 2 in x 6.962 * [backup-simplify]: Simplify 2 into 2 6.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.962 * [taylor]: Taking taylor expansion of y in x 6.962 * [backup-simplify]: Simplify y into y 6.962 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.962 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.963 * [backup-simplify]: Simplify (+ 1 0) into 1 6.963 * [backup-simplify]: Simplify (sqrt 1) into 1 6.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.965 * [backup-simplify]: Simplify (+ 0 0) into 0 6.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.966 * [taylor]: Taking taylor expansion of 1 in y 6.966 * [backup-simplify]: Simplify 1 into 1 6.966 * [taylor]: Taking taylor expansion of 0 in y 6.966 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify 1 into 1 6.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.967 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.967 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.968 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 6.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.968 * [taylor]: Taking taylor expansion of y in y 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [backup-simplify]: Simplify (* 1 1) into 1 6.968 * [backup-simplify]: Simplify (/ 1 1) into 1 6.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.971 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.972 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.972 * [backup-simplify]: Simplify (+ 0 0) into 0 6.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 6.972 * [taylor]: Taking taylor expansion of 0 in y 6.972 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 6.974 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.974 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) into (+ (pow x 2) (* 2 (pow y 2))) 6.974 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 6.974 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 6.974 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.974 * [taylor]: Taking taylor expansion of x in y 6.974 * [backup-simplify]: Simplify x into x 6.974 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.974 * [taylor]: Taking taylor expansion of 2 in y 6.974 * [backup-simplify]: Simplify 2 into 2 6.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.974 * [taylor]: Taking taylor expansion of y in y 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 1 into 1 6.974 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.974 * [taylor]: Taking taylor expansion of x in x 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 1 into 1 6.974 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.974 * [taylor]: Taking taylor expansion of 2 in x 6.974 * [backup-simplify]: Simplify 2 into 2 6.974 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.974 * [taylor]: Taking taylor expansion of y in x 6.974 * [backup-simplify]: Simplify y into y 6.974 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.974 * [taylor]: Taking taylor expansion of x in x 6.974 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 1 into 1 6.975 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.975 * [taylor]: Taking taylor expansion of 2 in x 6.975 * [backup-simplify]: Simplify 2 into 2 6.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.975 * [taylor]: Taking taylor expansion of y in x 6.975 * [backup-simplify]: Simplify y into y 6.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.975 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.975 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.975 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.975 * [taylor]: Taking taylor expansion of 2 in y 6.975 * [backup-simplify]: Simplify 2 into 2 6.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.975 * [taylor]: Taking taylor expansion of y in y 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 1 into 1 6.975 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.975 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.976 * [backup-simplify]: Simplify (+ 0 0) into 0 6.976 * [taylor]: Taking taylor expansion of 0 in y 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify (* 1 1) into 1 6.976 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.977 * [backup-simplify]: Simplify (+ 1 0) into 1 6.977 * [taylor]: Taking taylor expansion of 1 in y 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify (* 1 1) into 1 6.978 * [backup-simplify]: Simplify (* 2 1) into 2 6.978 * [backup-simplify]: Simplify 2 into 2 6.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.979 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.980 * [backup-simplify]: Simplify (+ 0 0) into 0 6.980 * [taylor]: Taking taylor expansion of 0 in y 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.985 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.987 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.989 * [backup-simplify]: Simplify (+ 0 0) into 0 6.989 * [taylor]: Taking taylor expansion of 0 in y 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 6.990 * [backup-simplify]: Simplify (* (sqrt (+ (pow (/ 1 x) 2) (* 2 (pow (/ 1 y) 2)))) (sqrt (+ (pow (/ 1 x) 2) (* 2 (pow (/ 1 y) 2))))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 6.990 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 6.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.990 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.990 * [taylor]: Taking taylor expansion of x in y 6.990 * [backup-simplify]: Simplify x into x 6.990 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.991 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.991 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.991 * [taylor]: Taking taylor expansion of 2 in y 6.991 * [backup-simplify]: Simplify 2 into 2 6.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.991 * [taylor]: Taking taylor expansion of y in y 6.991 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify 1 into 1 6.991 * [backup-simplify]: Simplify (* 1 1) into 1 6.992 * [backup-simplify]: Simplify (/ 1 1) into 1 6.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.992 * [taylor]: Taking taylor expansion of x in x 6.992 * [backup-simplify]: Simplify 0 into 0 6.992 * [backup-simplify]: Simplify 1 into 1 6.992 * [backup-simplify]: Simplify (* 1 1) into 1 6.993 * [backup-simplify]: Simplify (/ 1 1) into 1 6.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.993 * [taylor]: Taking taylor expansion of 2 in x 6.993 * [backup-simplify]: Simplify 2 into 2 6.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.993 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.993 * [taylor]: Taking taylor expansion of y in x 6.993 * [backup-simplify]: Simplify y into y 6.993 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.993 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.993 * [taylor]: Taking taylor expansion of x in x 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 1 into 1 6.994 * [backup-simplify]: Simplify (* 1 1) into 1 6.994 * [backup-simplify]: Simplify (/ 1 1) into 1 6.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.994 * [taylor]: Taking taylor expansion of 2 in x 6.994 * [backup-simplify]: Simplify 2 into 2 6.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.994 * [taylor]: Taking taylor expansion of y in x 6.994 * [backup-simplify]: Simplify y into y 6.994 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.995 * [backup-simplify]: Simplify (+ 1 0) into 1 6.995 * [taylor]: Taking taylor expansion of 1 in y 6.995 * [backup-simplify]: Simplify 1 into 1 6.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.997 * [backup-simplify]: Simplify (+ 0 0) into 0 6.997 * [taylor]: Taking taylor expansion of 0 in y 6.997 * [backup-simplify]: Simplify 0 into 0 6.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.999 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.999 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.999 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.999 * [taylor]: Taking taylor expansion of 2 in y 6.999 * [backup-simplify]: Simplify 2 into 2 6.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.999 * [taylor]: Taking taylor expansion of y in y 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 1 into 1 6.999 * [backup-simplify]: Simplify (* 1 1) into 1 7.000 * [backup-simplify]: Simplify (/ 1 1) into 1 7.000 * [backup-simplify]: Simplify (* 2 1) into 2 7.000 * [backup-simplify]: Simplify 2 into 2 7.000 * [backup-simplify]: Simplify 1 into 1 7.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.002 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.003 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 7.004 * [backup-simplify]: Simplify (+ 0 0) into 0 7.004 * [taylor]: Taking taylor expansion of 0 in y 7.004 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.006 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.009 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.011 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 7.011 * [backup-simplify]: Simplify (+ 0 0) into 0 7.011 * [taylor]: Taking taylor expansion of 0 in y 7.011 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.014 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 7.016 * [backup-simplify]: Simplify (* (sqrt (+ (pow (/ 1 (- x)) 2) (* 2 (pow (/ 1 (- y)) 2)))) (sqrt (+ (pow (/ 1 (- x)) 2) (* 2 (pow (/ 1 (- y)) 2))))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 7.016 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 7.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 7.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.016 * [taylor]: Taking taylor expansion of x in y 7.016 * [backup-simplify]: Simplify x into x 7.016 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.016 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.016 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.016 * [taylor]: Taking taylor expansion of 2 in y 7.016 * [backup-simplify]: Simplify 2 into 2 7.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.016 * [taylor]: Taking taylor expansion of y in y 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify 1 into 1 7.017 * [backup-simplify]: Simplify (* 1 1) into 1 7.017 * [backup-simplify]: Simplify (/ 1 1) into 1 7.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 7.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.018 * [taylor]: Taking taylor expansion of x in x 7.018 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify 1 into 1 7.018 * [backup-simplify]: Simplify (* 1 1) into 1 7.018 * [backup-simplify]: Simplify (/ 1 1) into 1 7.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.019 * [taylor]: Taking taylor expansion of 2 in x 7.019 * [backup-simplify]: Simplify 2 into 2 7.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.019 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.019 * [taylor]: Taking taylor expansion of y in x 7.019 * [backup-simplify]: Simplify y into y 7.019 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.019 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 7.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.019 * [taylor]: Taking taylor expansion of x in x 7.019 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify 1 into 1 7.020 * [backup-simplify]: Simplify (* 1 1) into 1 7.020 * [backup-simplify]: Simplify (/ 1 1) into 1 7.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.020 * [taylor]: Taking taylor expansion of 2 in x 7.020 * [backup-simplify]: Simplify 2 into 2 7.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.020 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.020 * [taylor]: Taking taylor expansion of y in x 7.020 * [backup-simplify]: Simplify y into y 7.020 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.021 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.021 * [backup-simplify]: Simplify (+ 1 0) into 1 7.021 * [taylor]: Taking taylor expansion of 1 in y 7.021 * [backup-simplify]: Simplify 1 into 1 7.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.023 * [backup-simplify]: Simplify (+ 0 0) into 0 7.024 * [taylor]: Taking taylor expansion of 0 in y 7.024 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.026 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 7.026 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 7.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.026 * [taylor]: Taking taylor expansion of 2 in y 7.026 * [backup-simplify]: Simplify 2 into 2 7.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.027 * [taylor]: Taking taylor expansion of y in y 7.027 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify 1 into 1 7.027 * [backup-simplify]: Simplify (* 1 1) into 1 7.027 * [backup-simplify]: Simplify (/ 1 1) into 1 7.028 * [backup-simplify]: Simplify (* 2 1) into 2 7.028 * [backup-simplify]: Simplify 2 into 2 7.028 * [backup-simplify]: Simplify 1 into 1 7.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.030 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.030 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 7.030 * [backup-simplify]: Simplify (+ 0 0) into 0 7.030 * [taylor]: Taking taylor expansion of 0 in y 7.030 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.032 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.033 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 7.035 * [backup-simplify]: Simplify (+ 0 0) into 0 7.035 * [taylor]: Taking taylor expansion of 0 in y 7.035 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 7.037 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.037 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 7.037 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 7.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 7.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.037 * [taylor]: Taking taylor expansion of x in y 7.037 * [backup-simplify]: Simplify x into x 7.037 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 7.037 * [taylor]: Taking taylor expansion of 3 in y 7.037 * [backup-simplify]: Simplify 3 into 3 7.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.037 * [taylor]: Taking taylor expansion of y in y 7.037 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify 1 into 1 7.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 7.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.037 * [taylor]: Taking taylor expansion of x in x 7.037 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 1 into 1 7.038 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 7.038 * [taylor]: Taking taylor expansion of 3 in x 7.038 * [backup-simplify]: Simplify 3 into 3 7.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.038 * [taylor]: Taking taylor expansion of y in x 7.038 * [backup-simplify]: Simplify y into y 7.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 7.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.038 * [taylor]: Taking taylor expansion of x in x 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 1 into 1 7.038 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 7.038 * [taylor]: Taking taylor expansion of 3 in x 7.038 * [backup-simplify]: Simplify 3 into 3 7.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.038 * [taylor]: Taking taylor expansion of y in x 7.038 * [backup-simplify]: Simplify y into y 7.038 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.038 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 7.038 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 7.038 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 7.038 * [taylor]: Taking taylor expansion of 3 in y 7.038 * [backup-simplify]: Simplify 3 into 3 7.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.038 * [taylor]: Taking taylor expansion of y in y 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 1 into 1 7.038 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.039 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 7.039 * [backup-simplify]: Simplify (+ 0 0) into 0 7.039 * [taylor]: Taking taylor expansion of 0 in y 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify (* 1 1) into 1 7.040 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.040 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.040 * [backup-simplify]: Simplify (+ 1 0) into 1 7.040 * [taylor]: Taking taylor expansion of 1 in y 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify (* 1 1) into 1 7.041 * [backup-simplify]: Simplify (* 3 1) into 3 7.041 * [backup-simplify]: Simplify 3 into 3 7.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.043 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.043 * [backup-simplify]: Simplify (+ 0 0) into 0 7.043 * [taylor]: Taking taylor expansion of 0 in y 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.044 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 7.044 * [backup-simplify]: Simplify 0 into 0 7.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.046 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.046 * [backup-simplify]: Simplify (+ 0 0) into 0 7.046 * [taylor]: Taking taylor expansion of 0 in y 7.046 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify 0 into 0 7.047 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 7.047 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (/ 1 x) 2) (* 2 (pow (/ 1 y) 2)))) (sqrt (+ (pow (/ 1 x) 2) (* 2 (pow (/ 1 y) 2))))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 7.047 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 7.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 7.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.047 * [taylor]: Taking taylor expansion of x in y 7.047 * [backup-simplify]: Simplify x into x 7.048 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.048 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.048 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 7.048 * [taylor]: Taking taylor expansion of 3 in y 7.048 * [backup-simplify]: Simplify 3 into 3 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.048 * [taylor]: Taking taylor expansion of y in y 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 1 into 1 7.048 * [backup-simplify]: Simplify (* 1 1) into 1 7.048 * [backup-simplify]: Simplify (/ 1 1) into 1 7.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.048 * [taylor]: Taking taylor expansion of x in x 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 1 into 1 7.049 * [backup-simplify]: Simplify (* 1 1) into 1 7.049 * [backup-simplify]: Simplify (/ 1 1) into 1 7.049 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 7.049 * [taylor]: Taking taylor expansion of 3 in x 7.049 * [backup-simplify]: Simplify 3 into 3 7.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.049 * [taylor]: Taking taylor expansion of y in x 7.049 * [backup-simplify]: Simplify y into y 7.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.049 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 7.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.049 * [taylor]: Taking taylor expansion of x in x 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 1 into 1 7.049 * [backup-simplify]: Simplify (* 1 1) into 1 7.050 * [backup-simplify]: Simplify (/ 1 1) into 1 7.050 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 7.050 * [taylor]: Taking taylor expansion of 3 in x 7.050 * [backup-simplify]: Simplify 3 into 3 7.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.050 * [taylor]: Taking taylor expansion of y in x 7.050 * [backup-simplify]: Simplify y into y 7.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.050 * [backup-simplify]: Simplify (+ 1 0) into 1 7.050 * [taylor]: Taking taylor expansion of 1 in y 7.050 * [backup-simplify]: Simplify 1 into 1 7.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.051 * [backup-simplify]: Simplify (+ 0 0) into 0 7.051 * [taylor]: Taking taylor expansion of 0 in y 7.051 * [backup-simplify]: Simplify 0 into 0 7.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.053 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 7.053 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 7.053 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 7.053 * [taylor]: Taking taylor expansion of 3 in y 7.053 * [backup-simplify]: Simplify 3 into 3 7.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.053 * [taylor]: Taking taylor expansion of y in y 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 1 into 1 7.053 * [backup-simplify]: Simplify (* 1 1) into 1 7.053 * [backup-simplify]: Simplify (/ 1 1) into 1 7.054 * [backup-simplify]: Simplify (* 3 1) into 3 7.054 * [backup-simplify]: Simplify 3 into 3 7.054 * [backup-simplify]: Simplify 1 into 1 7.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.055 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.055 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 7.056 * [backup-simplify]: Simplify (+ 0 0) into 0 7.056 * [taylor]: Taking taylor expansion of 0 in y 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.057 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.061 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 7.061 * [backup-simplify]: Simplify (+ 0 0) into 0 7.061 * [taylor]: Taking taylor expansion of 0 in y 7.061 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.064 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 7.065 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (/ 1 (- x)) 2) (* 2 (pow (/ 1 (- y)) 2)))) (sqrt (+ (pow (/ 1 (- x)) 2) (* 2 (pow (/ 1 (- y)) 2))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 7.065 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 7.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 7.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.066 * [taylor]: Taking taylor expansion of x in y 7.066 * [backup-simplify]: Simplify x into x 7.066 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.066 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.066 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 7.066 * [taylor]: Taking taylor expansion of 3 in y 7.066 * [backup-simplify]: Simplify 3 into 3 7.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.066 * [taylor]: Taking taylor expansion of y in y 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify 1 into 1 7.066 * [backup-simplify]: Simplify (* 1 1) into 1 7.067 * [backup-simplify]: Simplify (/ 1 1) into 1 7.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 7.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.067 * [taylor]: Taking taylor expansion of x in x 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 1 into 1 7.067 * [backup-simplify]: Simplify (* 1 1) into 1 7.068 * [backup-simplify]: Simplify (/ 1 1) into 1 7.068 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 7.068 * [taylor]: Taking taylor expansion of 3 in x 7.068 * [backup-simplify]: Simplify 3 into 3 7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.068 * [taylor]: Taking taylor expansion of y in x 7.068 * [backup-simplify]: Simplify y into y 7.068 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.068 * [taylor]: Taking taylor expansion of x in x 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 1 into 1 7.069 * [backup-simplify]: Simplify (* 1 1) into 1 7.069 * [backup-simplify]: Simplify (/ 1 1) into 1 7.069 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 7.069 * [taylor]: Taking taylor expansion of 3 in x 7.069 * [backup-simplify]: Simplify 3 into 3 7.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.069 * [taylor]: Taking taylor expansion of y in x 7.069 * [backup-simplify]: Simplify y into y 7.069 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.070 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.070 * [backup-simplify]: Simplify (+ 1 0) into 1 7.070 * [taylor]: Taking taylor expansion of 1 in y 7.070 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.072 * [backup-simplify]: Simplify (+ 0 0) into 0 7.072 * [taylor]: Taking taylor expansion of 0 in y 7.072 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.074 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 7.074 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 7.074 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 7.074 * [taylor]: Taking taylor expansion of 3 in y 7.074 * [backup-simplify]: Simplify 3 into 3 7.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.074 * [taylor]: Taking taylor expansion of y in y 7.074 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify 1 into 1 7.075 * [backup-simplify]: Simplify (* 1 1) into 1 7.075 * [backup-simplify]: Simplify (/ 1 1) into 1 7.075 * [backup-simplify]: Simplify (* 3 1) into 3 7.076 * [backup-simplify]: Simplify 3 into 3 7.076 * [backup-simplify]: Simplify 1 into 1 7.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 7.079 * [backup-simplify]: Simplify (+ 0 0) into 0 7.079 * [taylor]: Taking taylor expansion of 0 in y 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.081 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.084 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.085 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 7.085 * [backup-simplify]: Simplify (+ 0 0) into 0 7.085 * [taylor]: Taking taylor expansion of 0 in y 7.085 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.087 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 7.087 * [backup-simplify]: Simplify 0 into 0 7.087 * [backup-simplify]: Simplify 0 into 0 7.087 * [backup-simplify]: Simplify 0 into 0 7.087 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 7.087 * * * [progress]: simplifying candidates 7.089 * [simplify]: Simplifying: (log (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (exp (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2)))))) (sqrt (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt 1) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow (pow x 2) 3) (pow (* 2 (pow y 2)) 3))) (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* 2 (pow y 2)) (* 2 (pow y 2))) (* (pow x 2) (* 2 (pow y 2)))))) (sqrt (- (* (pow x 2) (pow x 2)) (* (* 2 (pow y 2)) (* 2 (pow y 2))))) (sqrt (- (pow x 2) (* 2 (pow y 2)))) (/ 1 2) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (log (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (exp (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2)))))) (sqrt (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt 1) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow (pow x 2) 3) (pow (* 2 (pow y 2)) 3))) (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* 2 (pow y 2)) (* 2 (pow y 2))) (* (pow x 2) (* 2 (pow y 2)))))) (sqrt (- (* (pow x 2) (pow x 2)) (* (* 2 (pow y 2)) (* 2 (pow y 2))))) (sqrt (- (pow x 2) (* 2 (pow y 2)))) (/ 1 2) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2)))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2)))) (+ 1 1) (+ (log (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (log (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (log (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (exp (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (* (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (cbrt (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (cbrt (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))))) (cbrt (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (* (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (sqrt (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (+ (pow (pow x 2) 3) (pow (* 2 (pow y 2)) 3))) (sqrt (+ (pow (pow x 2) 3) (pow (* 2 (pow y 2)) 3)))) (* (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* 2 (pow y 2)) (* 2 (pow y 2))) (* (pow x 2) (* 2 (pow y 2)))))) (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* 2 (pow y 2)) (* 2 (pow y 2))) (* (pow x 2) (* 2 (pow y 2))))))) (* (sqrt (+ (pow (pow x 2) 3) (pow (* 2 (pow y 2)) 3))) (sqrt (- (* (pow x 2) (pow x 2)) (* (* 2 (pow y 2)) (* 2 (pow y 2)))))) (* (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* 2 (pow y 2)) (* 2 (pow y 2))) (* (pow x 2) (* 2 (pow y 2)))))) (sqrt (- (pow x 2) (* 2 (pow y 2))))) (* (sqrt (- (* (pow x 2) (pow x 2)) (* (* 2 (pow y 2)) (* 2 (pow y 2))))) (sqrt (+ (pow (pow x 2) 3) (pow (* 2 (pow y 2)) 3)))) (* (sqrt (- (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* 2 (pow y 2)) (* 2 (pow y 2))) (* (pow x 2) (* 2 (pow y 2))))))) (* (sqrt (- (* (pow x 2) (pow x 2)) (* (* 2 (pow y 2)) (* 2 (pow y 2))))) (sqrt (- (* (pow x 2) (pow x 2)) (* (* 2 (pow y 2)) (* 2 (pow y 2)))))) (* (sqrt (- (pow x 2) (* 2 (pow y 2)))) (sqrt (- (pow x 2) (* 2 (pow y 2))))) (* (* (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))))) (* (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2)))))) (sqrt (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2))))))) (* (sqrt (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (cbrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* 1 1) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (* (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2))))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt 1)) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 1) (* (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow (pow x 2) 3) (pow (* 2 (pow y 2)) 3)))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (- (* (pow x 2) (pow x 2)) (* (* 2 (pow y 2)) (* 2 (pow y 2)))))) (* (sqrt (+ (pow (pow x 2) 3) (pow (* 2 (pow y 2)) 3))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (- (* (pow x 2) (pow x 2)) (* (* 2 (pow y 2)) (* 2 (pow y 2))))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (exp (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (exp (* y y))) (log (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y))) (exp (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y))) (* (cbrt (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y))) (cbrt (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y)))) (cbrt (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y))) (* (* (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y)) (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y))) (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y))) (sqrt (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y))) (sqrt (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y))) (+ (pow (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 3) (pow (* y y) 3)) (+ (* (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y)))) (- (* (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (* (* y y) (* y y))) (- (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (* 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))) 7.092 * * [simplify]: Extracting # 0 : cost 0 7.092 * * [simplify]: Extracting # 1 : cost 0 7.092 * * [simplify]: Extracting # 2 : cost 0 7.093 * * [simplify]: Extracting # 3 : cost 0 7.093 * * [simplify]: Extracting # 4 : cost 0 7.093 * * [simplify]: Extracting # 5 : cost 0 7.093 * * [simplify]: Extracting # 6 : cost 0 7.093 * * [simplify]: Extracting # 7 : cost 0 7.093 * * [simplify]: iteration 0 : 108 enodes (cost 2708 ) 7.139 * * [simplify]: Extracting # 0 : cost 0 7.140 * * [simplify]: Extracting # 1 : cost 0 7.140 * * [simplify]: Extracting # 2 : cost 0 7.141 * * [simplify]: Extracting # 3 : cost 0 7.141 * * [simplify]: Extracting # 4 : cost 0 7.142 * * [simplify]: Extracting # 5 : cost 0 7.142 * * [simplify]: iteration 1 : 247 enodes (cost 1699 ) 7.270 * * [simplify]: Extracting # 0 : cost 0 7.272 * * [simplify]: Extracting # 1 : cost 0 7.274 * * [simplify]: Extracting # 2 : cost 0 7.276 * * [simplify]: Extracting # 3 : cost 0 7.277 * * [simplify]: Extracting # 4 : cost 0 7.279 * * [simplify]: Extracting # 5 : cost 0 7.281 * * [simplify]: iteration 2 : 822 enodes (cost 1551 ) 8.228 * * [simplify]: Extracting # 0 : cost 0 8.232 * * [simplify]: Extracting # 1 : cost 0 8.236 * * [simplify]: Extracting # 2 : cost 0 8.239 * * [simplify]: Extracting # 3 : cost 0 8.244 * * [simplify]: Extracting # 4 : cost 0 8.249 * * [simplify]: Extracting # 5 : cost 0 8.254 * * [simplify]: iteration 3 : 3241 enodes (cost 1429 ) 10.124 * * [simplify]: Extracting # 0 : cost 0 10.145 * * [simplify]: Extracting # 1 : cost 0 10.156 * * [simplify]: Extracting # 2 : cost 0 10.166 * * [simplify]: Extracting # 3 : cost 0 10.176 * * [simplify]: Extracting # 4 : cost 0 10.186 * * [simplify]: iteration done: 5001 enodes (cost 1401 ) 10.187 * [simplify]: Simplified to: (log (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (exp (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 3) (fabs (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 1 (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 6) (* (pow y 6) 8))) (sqrt (+ (* (* 2 (pow y 2)) (- (* 2 (pow y 2)) (pow x 2))) (pow x 4))) (sqrt (- (pow x 4) (* (pow y 4) 4))) (sqrt (- (pow x 2) (* 2 (pow y 2)))) 1/2 (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (log (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (exp (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (* (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 3) (fabs (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 1 (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 6) (* (pow y 6) 8))) (sqrt (+ (* (* 2 (pow y 2)) (- (* 2 (pow y 2)) (pow x 2))) (pow x 4))) (sqrt (- (pow x 4) (* (pow y 4) 4))) (sqrt (- (pow x 2) (* 2 (pow y 2)))) 1/2 (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 1 1 2 1 1 (pow (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 4) (+ (pow x 2) (* 2 (pow y 2))) (pow (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 4) 2 (log (+ (pow x 2) (* 2 (pow y 2)))) (log (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (pow (sqrt (cbrt (+ (pow x 2) (* 2 (pow y 2))))) 4) (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (pow (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 4) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (+ (pow x 6) (* (pow y 6) 8)) (+ (* (* 2 (pow y 2)) (- (* 2 (pow y 2)) (pow x 2))) (pow x 4)) (* (sqrt (- (pow x 4) (* (pow y 4) 4))) (sqrt (+ (pow x 6) (* (pow y 6) 8)))) (* (sqrt (+ (* (* 2 (pow y 2)) (- (* 2 (pow y 2)) (pow x 2))) (pow x 4))) (sqrt (- (pow x 2) (* 2 (pow y 2))))) (* (sqrt (- (pow x 4) (* (pow y 4) 4))) (sqrt (+ (pow x 6) (* (pow y 6) 8)))) (* (sqrt (+ (* (* 2 (pow y 2)) (- (* 2 (pow y 2)) (pow x 2))) (pow x 4))) (sqrt (- (pow x 2) (* 2 (pow y 2))))) (- (pow x 4) (* (pow y 4) 4)) (+ (* y (* -2 y)) (pow x 2)) (pow (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 4) (* (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2)))))) (pow (sqrt (cbrt (+ (pow x 2) (* 2 (pow y 2))))) 4) (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 1 (+ (pow x 2) (* 2 (pow y 2))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 1 (+ (pow x 2) (* 2 (pow y 2))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 1 2 1 (pow (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 5) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (fabs (cbrt (+ (pow x 2) (* 2 (pow y 2)))))) (pow (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 3) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 3) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow (cbrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 4) (* (sqrt (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 3) (+ (pow x 2) (* 2 (pow y 2))) (pow (sqrt (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 3) (+ (pow x 2) (* 2 (pow y 2))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 6) (* (pow y 6) 8)))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (- (pow x 4) (* (pow y 4) 4)))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 6) (* (pow y 6) 8)))) (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (- (pow x 4) (* (pow y 4) 4)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow y 6) (pow (+ (pow x 2) (* 2 (pow y 2))) 3)) (- (pow y 4) (* (+ (pow x 2) (* 2 (pow y 2))) (- (* y (- y (* 2 y))) (pow x 2)))) (- (pow (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 4) (pow y 4)) (+ (pow x 2) (* y (- (* 2 y) y))) (* (sqrt 2) y) x (- x) (* (sqrt 2) y) x (- x) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* y (* 3 y))) (+ (pow x 2) (* y (* 3 y))) (+ (pow x 2) (* y (* 3 y))) 10.189 * * * [progress]: adding candidates to table 10.522 * * [progress]: iteration 4 / 4 10.522 * * * [progress]: picking best candidate 10.545 * * * * [pick]: Picked # 10.545 * * * [progress]: localizing error 10.561 * * * [progress]: generating rewritten candidates 10.561 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 10.599 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 10.627 * * * [progress]: generating series expansions 10.627 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 10.627 * [backup-simplify]: Simplify (* y (* 3 y)) into (* 3 (pow y 2)) 10.627 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 10.627 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 10.627 * [taylor]: Taking taylor expansion of 3 in y 10.627 * [backup-simplify]: Simplify 3 into 3 10.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.627 * [taylor]: Taking taylor expansion of y in y 10.627 * [backup-simplify]: Simplify 0 into 0 10.627 * [backup-simplify]: Simplify 1 into 1 10.627 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 10.627 * [taylor]: Taking taylor expansion of 3 in y 10.627 * [backup-simplify]: Simplify 3 into 3 10.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.627 * [taylor]: Taking taylor expansion of y in y 10.627 * [backup-simplify]: Simplify 0 into 0 10.627 * [backup-simplify]: Simplify 1 into 1 10.628 * [backup-simplify]: Simplify (* 1 1) into 1 10.628 * [backup-simplify]: Simplify (* 3 1) into 3 10.629 * [backup-simplify]: Simplify 3 into 3 10.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.630 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 10.630 * [backup-simplify]: Simplify 0 into 0 10.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.632 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 10.632 * [backup-simplify]: Simplify 0 into 0 10.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.634 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.634 * [backup-simplify]: Simplify 0 into 0 10.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.636 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.636 * [backup-simplify]: Simplify 0 into 0 10.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.639 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.639 * [backup-simplify]: Simplify 0 into 0 10.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.642 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.642 * [backup-simplify]: Simplify 0 into 0 10.642 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 10.643 * [backup-simplify]: Simplify (* (/ 1 y) (* 3 (/ 1 y))) into (/ 3 (pow y 2)) 10.643 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 10.643 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 10.643 * [taylor]: Taking taylor expansion of 3 in y 10.643 * [backup-simplify]: Simplify 3 into 3 10.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.643 * [taylor]: Taking taylor expansion of y in y 10.643 * [backup-simplify]: Simplify 0 into 0 10.643 * [backup-simplify]: Simplify 1 into 1 10.643 * [backup-simplify]: Simplify (* 1 1) into 1 10.644 * [backup-simplify]: Simplify (/ 3 1) into 3 10.644 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 10.644 * [taylor]: Taking taylor expansion of 3 in y 10.644 * [backup-simplify]: Simplify 3 into 3 10.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.644 * [taylor]: Taking taylor expansion of y in y 10.644 * [backup-simplify]: Simplify 0 into 0 10.644 * [backup-simplify]: Simplify 1 into 1 10.644 * [backup-simplify]: Simplify (* 1 1) into 1 10.644 * [backup-simplify]: Simplify (/ 3 1) into 3 10.645 * [backup-simplify]: Simplify 3 into 3 10.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 10.646 * [backup-simplify]: Simplify 0 into 0 10.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.648 * [backup-simplify]: Simplify 0 into 0 10.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.649 * [backup-simplify]: Simplify 0 into 0 10.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.651 * [backup-simplify]: Simplify 0 into 0 10.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.654 * [backup-simplify]: Simplify 0 into 0 10.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.656 * [backup-simplify]: Simplify 0 into 0 10.656 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 10.656 * [backup-simplify]: Simplify (* (/ 1 (- y)) (* 3 (/ 1 (- y)))) into (/ 3 (pow y 2)) 10.656 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 10.656 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 10.656 * [taylor]: Taking taylor expansion of 3 in y 10.656 * [backup-simplify]: Simplify 3 into 3 10.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.656 * [taylor]: Taking taylor expansion of y in y 10.656 * [backup-simplify]: Simplify 0 into 0 10.656 * [backup-simplify]: Simplify 1 into 1 10.657 * [backup-simplify]: Simplify (* 1 1) into 1 10.657 * [backup-simplify]: Simplify (/ 3 1) into 3 10.657 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 10.657 * [taylor]: Taking taylor expansion of 3 in y 10.657 * [backup-simplify]: Simplify 3 into 3 10.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.657 * [taylor]: Taking taylor expansion of y in y 10.657 * [backup-simplify]: Simplify 0 into 0 10.657 * [backup-simplify]: Simplify 1 into 1 10.658 * [backup-simplify]: Simplify (* 1 1) into 1 10.658 * [backup-simplify]: Simplify (/ 3 1) into 3 10.658 * [backup-simplify]: Simplify 3 into 3 10.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 10.660 * [backup-simplify]: Simplify 0 into 0 10.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.661 * [backup-simplify]: Simplify 0 into 0 10.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.663 * [backup-simplify]: Simplify 0 into 0 10.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.665 * [backup-simplify]: Simplify 0 into 0 10.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.667 * [backup-simplify]: Simplify 0 into 0 10.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.669 * [backup-simplify]: Simplify 0 into 0 10.670 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 10.670 * * * * [progress]: [ 2 / 2 ] generating series at (2) 10.670 * [backup-simplify]: Simplify (+ (pow x 2) (* y (* 3 y))) into (+ (pow x 2) (* 3 (pow y 2))) 10.670 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 10.670 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 10.670 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.670 * [taylor]: Taking taylor expansion of x in y 10.670 * [backup-simplify]: Simplify x into x 10.670 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 10.670 * [taylor]: Taking taylor expansion of 3 in y 10.670 * [backup-simplify]: Simplify 3 into 3 10.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.670 * [taylor]: Taking taylor expansion of y in y 10.670 * [backup-simplify]: Simplify 0 into 0 10.670 * [backup-simplify]: Simplify 1 into 1 10.670 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 10.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.670 * [taylor]: Taking taylor expansion of x in x 10.670 * [backup-simplify]: Simplify 0 into 0 10.670 * [backup-simplify]: Simplify 1 into 1 10.670 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 10.670 * [taylor]: Taking taylor expansion of 3 in x 10.670 * [backup-simplify]: Simplify 3 into 3 10.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.670 * [taylor]: Taking taylor expansion of y in x 10.670 * [backup-simplify]: Simplify y into y 10.670 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 10.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.670 * [taylor]: Taking taylor expansion of x in x 10.670 * [backup-simplify]: Simplify 0 into 0 10.670 * [backup-simplify]: Simplify 1 into 1 10.670 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 10.670 * [taylor]: Taking taylor expansion of 3 in x 10.670 * [backup-simplify]: Simplify 3 into 3 10.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.670 * [taylor]: Taking taylor expansion of y in x 10.670 * [backup-simplify]: Simplify y into y 10.670 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.671 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 10.671 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 10.671 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 10.671 * [taylor]: Taking taylor expansion of 3 in y 10.671 * [backup-simplify]: Simplify 3 into 3 10.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.671 * [taylor]: Taking taylor expansion of y in y 10.671 * [backup-simplify]: Simplify 0 into 0 10.671 * [backup-simplify]: Simplify 1 into 1 10.671 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.671 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 10.671 * [backup-simplify]: Simplify (+ 0 0) into 0 10.672 * [taylor]: Taking taylor expansion of 0 in y 10.672 * [backup-simplify]: Simplify 0 into 0 10.672 * [backup-simplify]: Simplify 0 into 0 10.672 * [backup-simplify]: Simplify (* 1 1) into 1 10.672 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 10.673 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 10.673 * [backup-simplify]: Simplify (+ 1 0) into 1 10.673 * [taylor]: Taking taylor expansion of 1 in y 10.673 * [backup-simplify]: Simplify 1 into 1 10.673 * [backup-simplify]: Simplify 1 into 1 10.673 * [backup-simplify]: Simplify 0 into 0 10.673 * [backup-simplify]: Simplify (* 1 1) into 1 10.674 * [backup-simplify]: Simplify (* 3 1) into 3 10.674 * [backup-simplify]: Simplify 3 into 3 10.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.674 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 10.675 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 10.676 * [backup-simplify]: Simplify (+ 0 0) into 0 10.676 * [taylor]: Taking taylor expansion of 0 in y 10.676 * [backup-simplify]: Simplify 0 into 0 10.676 * [backup-simplify]: Simplify 0 into 0 10.676 * [backup-simplify]: Simplify 0 into 0 10.676 * [backup-simplify]: Simplify 0 into 0 10.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.677 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 10.677 * [backup-simplify]: Simplify 0 into 0 10.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.679 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 10.680 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 10.680 * [backup-simplify]: Simplify (+ 0 0) into 0 10.680 * [taylor]: Taking taylor expansion of 0 in y 10.680 * [backup-simplify]: Simplify 0 into 0 10.680 * [backup-simplify]: Simplify 0 into 0 10.680 * [backup-simplify]: Simplify 0 into 0 10.680 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 10.681 * [backup-simplify]: Simplify (+ (pow (/ 1 x) 2) (* (/ 1 y) (* 3 (/ 1 y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 10.681 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 10.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 10.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 10.681 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.681 * [taylor]: Taking taylor expansion of x in y 10.681 * [backup-simplify]: Simplify x into x 10.681 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.681 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.681 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 10.681 * [taylor]: Taking taylor expansion of 3 in y 10.681 * [backup-simplify]: Simplify 3 into 3 10.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.681 * [taylor]: Taking taylor expansion of y in y 10.681 * [backup-simplify]: Simplify 0 into 0 10.681 * [backup-simplify]: Simplify 1 into 1 10.681 * [backup-simplify]: Simplify (* 1 1) into 1 10.682 * [backup-simplify]: Simplify (/ 1 1) into 1 10.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 10.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.682 * [taylor]: Taking taylor expansion of x in x 10.682 * [backup-simplify]: Simplify 0 into 0 10.682 * [backup-simplify]: Simplify 1 into 1 10.682 * [backup-simplify]: Simplify (* 1 1) into 1 10.682 * [backup-simplify]: Simplify (/ 1 1) into 1 10.682 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 10.682 * [taylor]: Taking taylor expansion of 3 in x 10.682 * [backup-simplify]: Simplify 3 into 3 10.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.682 * [taylor]: Taking taylor expansion of y in x 10.682 * [backup-simplify]: Simplify y into y 10.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 10.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.683 * [taylor]: Taking taylor expansion of x in x 10.683 * [backup-simplify]: Simplify 0 into 0 10.683 * [backup-simplify]: Simplify 1 into 1 10.683 * [backup-simplify]: Simplify (* 1 1) into 1 10.683 * [backup-simplify]: Simplify (/ 1 1) into 1 10.683 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 10.683 * [taylor]: Taking taylor expansion of 3 in x 10.683 * [backup-simplify]: Simplify 3 into 3 10.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.683 * [taylor]: Taking taylor expansion of y in x 10.683 * [backup-simplify]: Simplify y into y 10.683 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.684 * [backup-simplify]: Simplify (+ 1 0) into 1 10.684 * [taylor]: Taking taylor expansion of 1 in y 10.684 * [backup-simplify]: Simplify 1 into 1 10.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.685 * [backup-simplify]: Simplify (+ 0 0) into 0 10.685 * [taylor]: Taking taylor expansion of 0 in y 10.685 * [backup-simplify]: Simplify 0 into 0 10.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.686 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 10.686 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 10.686 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 10.686 * [taylor]: Taking taylor expansion of 3 in y 10.686 * [backup-simplify]: Simplify 3 into 3 10.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.686 * [taylor]: Taking taylor expansion of y in y 10.686 * [backup-simplify]: Simplify 0 into 0 10.686 * [backup-simplify]: Simplify 1 into 1 10.687 * [backup-simplify]: Simplify (* 1 1) into 1 10.687 * [backup-simplify]: Simplify (/ 1 1) into 1 10.687 * [backup-simplify]: Simplify (* 3 1) into 3 10.687 * [backup-simplify]: Simplify 3 into 3 10.687 * [backup-simplify]: Simplify 1 into 1 10.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.688 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 10.689 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 10.689 * [backup-simplify]: Simplify (+ 0 0) into 0 10.689 * [taylor]: Taking taylor expansion of 0 in y 10.689 * [backup-simplify]: Simplify 0 into 0 10.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.691 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 10.691 * [backup-simplify]: Simplify 0 into 0 10.691 * [backup-simplify]: Simplify 0 into 0 10.691 * [backup-simplify]: Simplify 0 into 0 10.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.692 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 10.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 10.693 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 10.693 * [backup-simplify]: Simplify (+ 0 0) into 0 10.693 * [taylor]: Taking taylor expansion of 0 in y 10.693 * [backup-simplify]: Simplify 0 into 0 10.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.695 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 10.695 * [backup-simplify]: Simplify 0 into 0 10.695 * [backup-simplify]: Simplify 0 into 0 10.695 * [backup-simplify]: Simplify 0 into 0 10.695 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 10.696 * [backup-simplify]: Simplify (+ (pow (/ 1 (- x)) 2) (* (/ 1 (- y)) (* 3 (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 10.696 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 10.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 10.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 10.696 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.696 * [taylor]: Taking taylor expansion of x in y 10.696 * [backup-simplify]: Simplify x into x 10.696 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.696 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.696 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 10.696 * [taylor]: Taking taylor expansion of 3 in y 10.696 * [backup-simplify]: Simplify 3 into 3 10.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.696 * [taylor]: Taking taylor expansion of y in y 10.696 * [backup-simplify]: Simplify 0 into 0 10.696 * [backup-simplify]: Simplify 1 into 1 10.696 * [backup-simplify]: Simplify (* 1 1) into 1 10.697 * [backup-simplify]: Simplify (/ 1 1) into 1 10.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 10.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.697 * [taylor]: Taking taylor expansion of x in x 10.697 * [backup-simplify]: Simplify 0 into 0 10.697 * [backup-simplify]: Simplify 1 into 1 10.697 * [backup-simplify]: Simplify (* 1 1) into 1 10.697 * [backup-simplify]: Simplify (/ 1 1) into 1 10.697 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 10.697 * [taylor]: Taking taylor expansion of 3 in x 10.697 * [backup-simplify]: Simplify 3 into 3 10.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.697 * [taylor]: Taking taylor expansion of y in x 10.697 * [backup-simplify]: Simplify y into y 10.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.698 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 10.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.698 * [taylor]: Taking taylor expansion of x in x 10.698 * [backup-simplify]: Simplify 0 into 0 10.698 * [backup-simplify]: Simplify 1 into 1 10.698 * [backup-simplify]: Simplify (* 1 1) into 1 10.698 * [backup-simplify]: Simplify (/ 1 1) into 1 10.698 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 10.698 * [taylor]: Taking taylor expansion of 3 in x 10.698 * [backup-simplify]: Simplify 3 into 3 10.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.698 * [taylor]: Taking taylor expansion of y in x 10.699 * [backup-simplify]: Simplify y into y 10.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.699 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.702 * [backup-simplify]: Simplify (+ 1 0) into 1 10.702 * [taylor]: Taking taylor expansion of 1 in y 10.703 * [backup-simplify]: Simplify 1 into 1 10.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.704 * [backup-simplify]: Simplify (+ 0 0) into 0 10.704 * [taylor]: Taking taylor expansion of 0 in y 10.704 * [backup-simplify]: Simplify 0 into 0 10.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.705 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 10.705 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 10.705 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 10.705 * [taylor]: Taking taylor expansion of 3 in y 10.705 * [backup-simplify]: Simplify 3 into 3 10.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.705 * [taylor]: Taking taylor expansion of y in y 10.705 * [backup-simplify]: Simplify 0 into 0 10.705 * [backup-simplify]: Simplify 1 into 1 10.706 * [backup-simplify]: Simplify (* 1 1) into 1 10.706 * [backup-simplify]: Simplify (/ 1 1) into 1 10.706 * [backup-simplify]: Simplify (* 3 1) into 3 10.706 * [backup-simplify]: Simplify 3 into 3 10.706 * [backup-simplify]: Simplify 1 into 1 10.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.707 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 10.708 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 10.708 * [backup-simplify]: Simplify (+ 0 0) into 0 10.708 * [taylor]: Taking taylor expansion of 0 in y 10.708 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.709 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 10.709 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify 0 into 0 10.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.711 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 10.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 10.712 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 10.712 * [backup-simplify]: Simplify (+ 0 0) into 0 10.712 * [taylor]: Taking taylor expansion of 0 in y 10.712 * [backup-simplify]: Simplify 0 into 0 10.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.714 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 10.714 * [backup-simplify]: Simplify 0 into 0 10.714 * [backup-simplify]: Simplify 0 into 0 10.714 * [backup-simplify]: Simplify 0 into 0 10.715 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 10.715 * * * [progress]: simplifying candidates 10.716 * [simplify]: Simplifying: (* y (* 3 y)) (* y (* 3 y)) (+ (log y) (+ (log 3) (log y))) (+ (log y) (log (* 3 y))) (log (* y (* 3 y))) (exp (* y (* 3 y))) (* (* (* y y) y) (* (* (* 3 3) 3) (* (* y y) y))) (* (* (* y y) y) (* (* (* 3 y) (* 3 y)) (* 3 y))) (* (cbrt (* y (* 3 y))) (cbrt (* y (* 3 y)))) (cbrt (* y (* 3 y))) (* (* (* y (* 3 y)) (* y (* 3 y))) (* y (* 3 y))) (sqrt (* y (* 3 y))) (sqrt (* y (* 3 y))) (* y 3) (* (cbrt y) (* 3 y)) (* (sqrt y) (* 3 y)) (* y (* 3 y)) (* (exp (pow x 2)) (exp (* y (* 3 y)))) (log (+ (pow x 2) (* y (* 3 y)))) (exp (+ (pow x 2) (* y (* 3 y)))) (* (cbrt (+ (pow x 2) (* y (* 3 y)))) (cbrt (+ (pow x 2) (* y (* 3 y))))) (cbrt (+ (pow x 2) (* y (* 3 y)))) (* (* (+ (pow x 2) (* y (* 3 y))) (+ (pow x 2) (* y (* 3 y)))) (+ (pow x 2) (* y (* 3 y)))) (sqrt (+ (pow x 2) (* y (* 3 y)))) (sqrt (+ (pow x 2) (* y (* 3 y)))) (+ (pow (pow x 2) 3) (pow (* y (* 3 y)) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* y (* 3 y)) (* y (* 3 y))) (* (pow x 2) (* y (* 3 y))))) (- (* (pow x 2) (pow x 2)) (* (* y (* 3 y)) (* y (* 3 y)))) (- (pow x 2) (* y (* 3 y))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 10.717 * * [simplify]: Extracting # 0 : cost 0 10.717 * * [simplify]: Extracting # 1 : cost 0 10.717 * * [simplify]: Extracting # 2 : cost 0 10.717 * * [simplify]: Extracting # 3 : cost 0 10.718 * * [simplify]: Extracting # 4 : cost 0 10.718 * * [simplify]: Extracting # 5 : cost 0 10.718 * * [simplify]: Extracting # 6 : cost 0 10.718 * * [simplify]: iteration 0 : 56 enodes (cost 362 ) 10.745 * * [simplify]: Extracting # 0 : cost 0 10.745 * * [simplify]: Extracting # 1 : cost 0 10.746 * * [simplify]: Extracting # 2 : cost 0 10.746 * * [simplify]: Extracting # 3 : cost 0 10.746 * * [simplify]: Extracting # 4 : cost 0 10.747 * * [simplify]: iteration 1 : 155 enodes (cost 326 ) 10.862 * * [simplify]: Extracting # 0 : cost 0 10.862 * * [simplify]: Extracting # 1 : cost 0 10.863 * * [simplify]: Extracting # 2 : cost 0 10.863 * * [simplify]: Extracting # 3 : cost 0 10.864 * * [simplify]: Extracting # 4 : cost 0 10.864 * * [simplify]: iteration 2 : 477 enodes (cost 294 ) 11.247 * * [simplify]: Extracting # 0 : cost 0 11.251 * * [simplify]: Extracting # 1 : cost 0 11.253 * * [simplify]: Extracting # 2 : cost 0 11.255 * * [simplify]: Extracting # 3 : cost 0 11.264 * * [simplify]: Extracting # 4 : cost 0 11.266 * * [simplify]: Extracting # 5 : cost 0 11.268 * * [simplify]: iteration 3 : 1323 enodes (cost 282 ) 13.201 * * [simplify]: Extracting # 0 : cost 0 13.206 * * [simplify]: Extracting # 1 : cost 0 13.209 * * [simplify]: Extracting # 2 : cost 0 13.212 * * [simplify]: Extracting # 3 : cost 0 13.215 * * [simplify]: Extracting # 4 : cost 0 13.218 * * [simplify]: Extracting # 5 : cost 0 13.221 * * [simplify]: iteration 4 : 3717 enodes (cost 280 ) 15.382 * * [simplify]: Extracting # 0 : cost 0 15.391 * * [simplify]: Extracting # 1 : cost 0 15.400 * * [simplify]: Extracting # 2 : cost 0 15.409 * * [simplify]: Extracting # 3 : cost 0 15.419 * * [simplify]: Extracting # 4 : cost 0 15.430 * * [simplify]: iteration done: 5002 enodes (cost 280 ) 15.430 * [simplify]: Simplified to: (* 3 (pow y 2)) (* 3 (pow y 2)) (log (* y (* 3 y))) (log (* y (* 3 y))) (log (* y (* 3 y))) (exp (* y (* 3 y))) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* y (* 3 y))) (cbrt (* y (* 3 y)))) (cbrt (* y (* 3 y))) (* 27 (pow y 6)) (sqrt (* y (* 3 y))) (sqrt (* y (* 3 y))) (* 3 y) (* (cbrt y) (* 3 y)) (* (sqrt y) (* 3 y)) (* 3 (pow y 2)) (exp (+ (pow x 2) (* y (* 3 y)))) (log (+ (pow x 2) (* y (* 3 y)))) (exp (+ (pow x 2) (* y (* 3 y)))) (* (cbrt (+ (pow x 2) (* y (* 3 y)))) (cbrt (+ (pow x 2) (* y (* 3 y))))) (cbrt (+ (pow x 2) (* y (* 3 y)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* y (* 3 y)))) (sqrt (+ (pow x 2) (* y (* 3 y)))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (pow x 4) (* (* y (* 3 y)) (- (* y (* 3 y)) (pow x 2)))) (+ (pow x 4) (* (pow y 4) -9)) (- (pow x 2) (* y (* 3 y))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 15.431 * * * [progress]: adding candidates to table 15.512 * [progress]: [Phase 3 of 3] Extracting. 15.512 * * [regime]: Finding splitpoints for: (# # # # # # #) 15.514 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 15.514 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 15.550 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 15.592 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 15.641 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 15.689 * * * [regime]: Found split indices: #