25.721 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.051 * [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 ) 0.061 * * [simplify]: Extracting # 0 : cost 0 0.061 * * [simplify]: Extracting # 1 : cost 0 0.061 * * [simplify]: Extracting # 2 : cost 0 0.061 * * [simplify]: Extracting # 3 : cost 0 0.061 * * [simplify]: Extracting # 4 : cost 0 0.061 * * [simplify]: iteration 2 : 23 enodes (cost 13 ) 0.084 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: Extracting # 1 : cost 0 0.084 * * [simplify]: Extracting # 2 : cost 0 0.084 * * [simplify]: Extracting # 3 : cost 0 0.084 * * [simplify]: iteration 3 : 35 enodes (cost 9 ) 0.100 * * [simplify]: Extracting # 0 : cost 0 0.100 * * [simplify]: Extracting # 1 : cost 0 0.100 * * [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 ) 0.131 * [simplify]: Simplified to: (+ (* x x) (* 3 (* y y))) 0.135 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.139 * * * * [pick]: Picked # 0.139 * * * [progress]: localizing error 0.156 * * * [progress]: generating rewritten candidates 0.156 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.339 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.381 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.402 * * * [progress]: generating series expansions 0.402 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.403 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 0.403 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [backup-simplify]: Simplify x into x 0.403 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of 3 in y 0.403 * [backup-simplify]: Simplify 3 into 3 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of 3 in x 0.403 * [backup-simplify]: Simplify 3 into 3 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of 3 in x 0.404 * [backup-simplify]: Simplify 3 into 3 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [backup-simplify]: Simplify y into y 0.404 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.404 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.404 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 0.404 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of 3 in y 0.405 * [backup-simplify]: Simplify 3 into 3 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.406 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.408 * [backup-simplify]: Simplify (+ 1 0) into 1 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (* 3 1) into 3 0.410 * [backup-simplify]: Simplify 3 into 3 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.417 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.420 * [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)))) 0.420 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [backup-simplify]: Simplify x into x 0.420 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.421 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.421 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.421 * [taylor]: Taking taylor expansion of 3 in y 0.421 * [backup-simplify]: Simplify 3 into 3 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.423 * [taylor]: Taking taylor expansion of 3 in x 0.423 * [backup-simplify]: Simplify 3 into 3 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [backup-simplify]: Simplify y into y 0.423 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.423 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of 3 in x 0.425 * [backup-simplify]: Simplify 3 into 3 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [backup-simplify]: Simplify y into y 0.425 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.425 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [taylor]: Taking taylor expansion of 1 in y 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.428 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.428 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.428 * [taylor]: Taking taylor expansion of 3 in y 0.428 * [backup-simplify]: Simplify 3 into 3 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (* 3 1) into 3 0.429 * [backup-simplify]: Simplify 3 into 3 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [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))) 0.438 * [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)))) 0.438 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [backup-simplify]: Simplify x into x 0.438 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.439 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.439 * [taylor]: Taking taylor expansion of 3 in y 0.439 * [backup-simplify]: Simplify 3 into 3 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of 3 in x 0.440 * [backup-simplify]: Simplify 3 into 3 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 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 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of 3 in x 0.441 * [backup-simplify]: Simplify 3 into 3 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [taylor]: Taking taylor expansion of 1 in y 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.444 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.444 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.444 * [taylor]: Taking taylor expansion of 3 in y 0.444 * [backup-simplify]: Simplify 3 into 3 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (* 3 1) into 3 0.445 * [backup-simplify]: Simplify 3 into 3 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.450 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.453 * [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))) 0.453 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.453 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2))) 0.453 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [backup-simplify]: Simplify x into x 0.453 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of 2 in y 0.453 * [backup-simplify]: Simplify 2 into 2 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.453 * [taylor]: Taking taylor expansion of 2 in x 0.453 * [backup-simplify]: Simplify 2 into 2 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [backup-simplify]: Simplify y into y 0.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.453 * [taylor]: Taking taylor expansion of 2 in x 0.453 * [backup-simplify]: Simplify 2 into 2 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [backup-simplify]: Simplify y into y 0.454 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.454 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 0.454 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 0.454 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.454 * [taylor]: Taking taylor expansion of 2 in y 0.454 * [backup-simplify]: Simplify 2 into 2 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.454 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.457 * [backup-simplify]: Simplify (+ 1 0) into 1 0.457 * [taylor]: Taking taylor expansion of 1 in y 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (* 2 1) into 2 0.458 * [backup-simplify]: Simplify 2 into 2 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.463 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.465 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.468 * [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)))) 0.468 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [backup-simplify]: Simplify x into x 0.469 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.469 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.469 * [taylor]: Taking taylor expansion of 2 in y 0.469 * [backup-simplify]: Simplify 2 into 2 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (* 1 1) into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.471 * [taylor]: Taking taylor expansion of 2 in x 0.471 * [backup-simplify]: Simplify 2 into 2 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [backup-simplify]: Simplify y into y 0.471 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.471 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (* 1 1) into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.472 * [taylor]: Taking taylor expansion of 2 in x 0.472 * [backup-simplify]: Simplify 2 into 2 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [backup-simplify]: Simplify y into y 0.472 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.472 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.473 * [taylor]: Taking taylor expansion of 1 in y 0.473 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.477 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 0.477 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.477 * [taylor]: Taking taylor expansion of 2 in y 0.477 * [backup-simplify]: Simplify 2 into 2 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify (* 2 1) into 2 0.479 * [backup-simplify]: Simplify 2 into 2 0.479 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [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 0.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [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))) 0.493 * [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)))) 0.493 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [backup-simplify]: Simplify x into x 0.494 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.494 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of 2 in y 0.494 * [backup-simplify]: Simplify 2 into 2 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.496 * [taylor]: Taking taylor expansion of 2 in x 0.496 * [backup-simplify]: Simplify 2 into 2 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [backup-simplify]: Simplify y into y 0.496 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.496 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [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 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of 2 in x 0.497 * [backup-simplify]: Simplify 2 into 2 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.498 * [backup-simplify]: Simplify y into y 0.498 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.498 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.498 * [backup-simplify]: Simplify (+ 1 0) into 1 0.498 * [taylor]: Taking taylor expansion of 1 in y 0.498 * [backup-simplify]: Simplify 1 into 1 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 0) into 0 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.503 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 0.503 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.503 * [taylor]: Taking taylor expansion of 2 in y 0.503 * [backup-simplify]: Simplify 2 into 2 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [backup-simplify]: Simplify (* 2 1) into 2 0.504 * [backup-simplify]: Simplify 2 into 2 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.508 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [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))) 0.515 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.515 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.515 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.515 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [backup-simplify]: Simplify x into x 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [backup-simplify]: Simplify y into y 0.515 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.516 * [backup-simplify]: Simplify y into y 0.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.516 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.517 * [backup-simplify]: Simplify (+ 1 0) into 1 0.517 * [taylor]: Taking taylor expansion of 1 in y 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.521 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.521 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [backup-simplify]: Simplify x into x 0.521 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.521 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [backup-simplify]: Simplify y into y 0.522 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.523 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [backup-simplify]: Simplify y into y 0.523 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.523 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.524 * [backup-simplify]: Simplify (+ 1 0) into 1 0.524 * [taylor]: Taking taylor expansion of 1 in y 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.538 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.538 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [backup-simplify]: Simplify x into x 0.538 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.538 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [backup-simplify]: Simplify y into y 0.541 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.541 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [backup-simplify]: Simplify y into y 0.542 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.542 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.543 * [backup-simplify]: Simplify (+ 1 0) into 1 0.543 * [taylor]: Taking taylor expansion of 1 in y 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (* 1 1) into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.559 * * * [progress]: simplifying candidates 0.560 * [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)) 0.561 * * [simplify]: Extracting # 0 : cost 0 0.561 * * [simplify]: Extracting # 1 : cost 0 0.561 * * [simplify]: Extracting # 2 : cost 0 0.561 * * [simplify]: Extracting # 3 : cost 0 0.561 * * [simplify]: Extracting # 4 : cost 0 0.561 * * [simplify]: Extracting # 5 : cost 0 0.561 * * [simplify]: Extracting # 6 : cost 0 0.561 * * [simplify]: iteration 0 : 70 enodes (cost 791 ) 0.579 * * [simplify]: Extracting # 0 : cost 0 0.579 * * [simplify]: Extracting # 1 : cost 0 0.580 * * [simplify]: Extracting # 2 : cost 0 0.580 * * [simplify]: Extracting # 3 : cost 0 0.580 * * [simplify]: Extracting # 4 : cost 0 0.580 * * [simplify]: iteration 1 : 211 enodes (cost 667 ) 0.701 * * [simplify]: Extracting # 0 : cost 0 0.702 * * [simplify]: Extracting # 1 : cost 0 0.704 * * [simplify]: Extracting # 2 : cost 0 0.705 * * [simplify]: Extracting # 3 : cost 0 0.707 * * [simplify]: Extracting # 4 : cost 0 0.708 * * [simplify]: iteration 2 : 725 enodes (cost 591 ) 1.494 * * [simplify]: Extracting # 0 : cost 0 1.500 * * [simplify]: Extracting # 1 : cost 0 1.506 * * [simplify]: Extracting # 2 : cost 0 1.511 * * [simplify]: Extracting # 3 : cost 0 1.514 * * [simplify]: Extracting # 4 : cost 0 1.517 * * [simplify]: iteration 3 : 2852 enodes (cost 513 ) 2.961 * * [simplify]: Extracting # 0 : cost 0 2.970 * * [simplify]: Extracting # 1 : cost 0 2.980 * * [simplify]: Extracting # 2 : cost 0 2.990 * * [simplify]: Extracting # 3 : cost 0 2.996 * * [simplify]: Extracting # 4 : cost 0 3.003 * * [simplify]: iteration done: 5000 enodes (cost 513 ) 3.003 * [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)) 3.003 * * * [progress]: adding candidates to table 3.126 * * [progress]: iteration 2 / 4 3.126 * * * [progress]: picking best candidate 3.148 * * * * [pick]: Picked # 3.148 * * * [progress]: localizing error 3.161 * * * [progress]: generating rewritten candidates 3.161 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 3.176 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.190 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.330 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.392 * * * [progress]: generating series expansions 3.392 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 3.393 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 3.393 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.393 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.393 * [taylor]: Taking taylor expansion of x in y 3.393 * [backup-simplify]: Simplify x into x 3.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.393 * [taylor]: Taking taylor expansion of y in y 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.393 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.393 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.394 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.395 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.395 * [taylor]: Taking taylor expansion of x in x 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.395 * [taylor]: Taking taylor expansion of y in x 3.395 * [backup-simplify]: Simplify y into y 3.395 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.395 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.395 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.395 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.397 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.397 * [taylor]: Taking taylor expansion of x in x 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.397 * [taylor]: Taking taylor expansion of y in x 3.397 * [backup-simplify]: Simplify y into y 3.397 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.397 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.398 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.398 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.398 * [backup-simplify]: Simplify (+ 0 0) into 0 3.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.398 * [taylor]: Taking taylor expansion of y in y 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in y 3.398 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (* 1 1) into 1 3.399 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.400 * [backup-simplify]: Simplify (+ 1 0) into 1 3.401 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.401 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.401 * [taylor]: Taking taylor expansion of 1/2 in y 3.401 * [backup-simplify]: Simplify 1/2 into 1/2 3.401 * [taylor]: Taking taylor expansion of y in y 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.404 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.404 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.405 * [taylor]: Taking taylor expansion of 0 in y 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.406 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.406 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.406 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.406 * [taylor]: Taking taylor expansion of x in y 3.406 * [backup-simplify]: Simplify x into x 3.406 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.407 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.407 * [taylor]: Taking taylor expansion of y in y 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (* 1 1) into 1 3.407 * [backup-simplify]: Simplify (/ 1 1) into 1 3.408 * [backup-simplify]: Simplify (+ 0 1) into 1 3.408 * [backup-simplify]: Simplify (sqrt 1) into 1 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.410 * [taylor]: Taking taylor expansion of x in x 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (* 1 1) into 1 3.411 * [backup-simplify]: Simplify (/ 1 1) into 1 3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.411 * [taylor]: Taking taylor expansion of y in x 3.411 * [backup-simplify]: Simplify y into y 3.411 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.412 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.412 * [backup-simplify]: Simplify (+ 1 0) into 1 3.412 * [backup-simplify]: Simplify (sqrt 1) into 1 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.414 * [backup-simplify]: Simplify (+ 0 0) into 0 3.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.415 * [taylor]: Taking taylor expansion of x in x 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (* 1 1) into 1 3.416 * [backup-simplify]: Simplify (/ 1 1) into 1 3.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.416 * [taylor]: Taking taylor expansion of y in x 3.416 * [backup-simplify]: Simplify y into y 3.416 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.416 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.417 * [backup-simplify]: Simplify (+ 1 0) into 1 3.417 * [backup-simplify]: Simplify (sqrt 1) into 1 3.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.419 * [taylor]: Taking taylor expansion of 1 in y 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [taylor]: Taking taylor expansion of 0 in y 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.423 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.423 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.423 * [taylor]: Taking taylor expansion of 1/2 in y 3.423 * [backup-simplify]: Simplify 1/2 into 1/2 3.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.423 * [taylor]: Taking taylor expansion of y in y 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (* 1 1) into 1 3.424 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.429 * [taylor]: Taking taylor expansion of 0 in y 3.429 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.431 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.431 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.432 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.432 * [taylor]: Taking taylor expansion of x in y 3.432 * [backup-simplify]: Simplify x into x 3.432 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.432 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.432 * [taylor]: Taking taylor expansion of y in y 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (* 1 1) into 1 3.433 * [backup-simplify]: Simplify (/ 1 1) into 1 3.433 * [backup-simplify]: Simplify (+ 0 1) into 1 3.434 * [backup-simplify]: Simplify (sqrt 1) into 1 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.435 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.436 * [taylor]: Taking taylor expansion of x in x 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.437 * [backup-simplify]: Simplify (/ 1 1) into 1 3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.437 * [taylor]: Taking taylor expansion of y in x 3.437 * [backup-simplify]: Simplify y into y 3.437 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.437 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.438 * [backup-simplify]: Simplify (+ 1 0) into 1 3.438 * [backup-simplify]: Simplify (sqrt 1) into 1 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (+ 0 0) into 0 3.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.441 * [taylor]: Taking taylor expansion of x in x 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [backup-simplify]: Simplify (* 1 1) into 1 3.441 * [backup-simplify]: Simplify (/ 1 1) into 1 3.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.442 * [taylor]: Taking taylor expansion of y in x 3.442 * [backup-simplify]: Simplify y into y 3.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.442 * [backup-simplify]: Simplify (+ 1 0) into 1 3.443 * [backup-simplify]: Simplify (sqrt 1) into 1 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ 0 0) into 0 3.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.446 * [taylor]: Taking taylor expansion of 1 in y 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [taylor]: Taking taylor expansion of 0 in y 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.455 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.455 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.455 * [taylor]: Taking taylor expansion of 1/2 in y 3.455 * [backup-simplify]: Simplify 1/2 into 1/2 3.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.455 * [taylor]: Taking taylor expansion of y in y 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.456 * [backup-simplify]: Simplify (* 1 1) into 1 3.456 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.460 * [backup-simplify]: Simplify (+ 0 0) into 0 3.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.461 * [taylor]: Taking taylor expansion of 0 in y 3.461 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.463 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.463 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 3.463 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.463 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.464 * [taylor]: Taking taylor expansion of x in y 3.464 * [backup-simplify]: Simplify x into x 3.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.464 * [taylor]: Taking taylor expansion of y in y 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 1 into 1 3.464 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.464 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.464 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.464 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.465 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.465 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.465 * [taylor]: Taking taylor expansion of x in x 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.465 * [taylor]: Taking taylor expansion of y in x 3.465 * [backup-simplify]: Simplify y into y 3.465 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.465 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.465 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.465 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.466 * [backup-simplify]: Simplify (+ 0 0) into 0 3.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.466 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.466 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.466 * [taylor]: Taking taylor expansion of x in x 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 1 into 1 3.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.466 * [taylor]: Taking taylor expansion of y in x 3.466 * [backup-simplify]: Simplify y into y 3.466 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.466 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.467 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.467 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.467 * [taylor]: Taking taylor expansion of y in y 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 1 into 1 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [taylor]: Taking taylor expansion of 0 in y 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 1 into 1 3.468 * [backup-simplify]: Simplify (* 1 1) into 1 3.468 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.469 * [backup-simplify]: Simplify (+ 1 0) into 1 3.469 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.469 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.469 * [taylor]: Taking taylor expansion of 1/2 in y 3.470 * [backup-simplify]: Simplify 1/2 into 1/2 3.470 * [taylor]: Taking taylor expansion of y in y 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.472 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.473 * [backup-simplify]: Simplify (+ 0 0) into 0 3.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.473 * [taylor]: Taking taylor expansion of 0 in y 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.474 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.474 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.475 * [taylor]: Taking taylor expansion of x in y 3.475 * [backup-simplify]: Simplify x into x 3.475 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.475 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.475 * [taylor]: Taking taylor expansion of y in y 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (* 1 1) into 1 3.476 * [backup-simplify]: Simplify (/ 1 1) into 1 3.476 * [backup-simplify]: Simplify (+ 0 1) into 1 3.476 * [backup-simplify]: Simplify (sqrt 1) into 1 3.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify (+ 0 0) into 0 3.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.479 * [taylor]: Taking taylor expansion of x in x 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [backup-simplify]: Simplify (/ 1 1) into 1 3.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.480 * [taylor]: Taking taylor expansion of y in x 3.480 * [backup-simplify]: Simplify y into y 3.480 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.480 * [backup-simplify]: Simplify (+ 1 0) into 1 3.481 * [backup-simplify]: Simplify (sqrt 1) into 1 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.482 * [backup-simplify]: Simplify (+ 0 0) into 0 3.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.483 * [taylor]: Taking taylor expansion of x in x 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (* 1 1) into 1 3.484 * [backup-simplify]: Simplify (/ 1 1) into 1 3.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.484 * [taylor]: Taking taylor expansion of y in x 3.484 * [backup-simplify]: Simplify y into y 3.484 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.485 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.485 * [backup-simplify]: Simplify (+ 1 0) into 1 3.485 * [backup-simplify]: Simplify (sqrt 1) into 1 3.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.488 * [taylor]: Taking taylor expansion of 1 in y 3.488 * [backup-simplify]: Simplify 1 into 1 3.488 * [taylor]: Taking taylor expansion of 0 in y 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 1 into 1 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.490 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.491 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.491 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.491 * [taylor]: Taking taylor expansion of 1/2 in y 3.491 * [backup-simplify]: Simplify 1/2 into 1/2 3.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.491 * [taylor]: Taking taylor expansion of y in y 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.492 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.497 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.498 * [taylor]: Taking taylor expansion of 0 in y 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.499 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.500 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.500 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.500 * [taylor]: Taking taylor expansion of x in y 3.500 * [backup-simplify]: Simplify x into x 3.500 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.501 * [taylor]: Taking taylor expansion of y in y 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [backup-simplify]: Simplify (* 1 1) into 1 3.501 * [backup-simplify]: Simplify (/ 1 1) into 1 3.502 * [backup-simplify]: Simplify (+ 0 1) into 1 3.502 * [backup-simplify]: Simplify (sqrt 1) into 1 3.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.505 * [taylor]: Taking taylor expansion of x in x 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [backup-simplify]: Simplify (* 1 1) into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.506 * [taylor]: Taking taylor expansion of y in x 3.506 * [backup-simplify]: Simplify y into y 3.506 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.506 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.506 * [backup-simplify]: Simplify (+ 1 0) into 1 3.507 * [backup-simplify]: Simplify (sqrt 1) into 1 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.509 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.509 * [taylor]: Taking taylor expansion of x in x 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 1 into 1 3.510 * [backup-simplify]: Simplify (* 1 1) into 1 3.510 * [backup-simplify]: Simplify (/ 1 1) into 1 3.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.510 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.510 * [taylor]: Taking taylor expansion of y in x 3.510 * [backup-simplify]: Simplify y into y 3.510 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.511 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.511 * [backup-simplify]: Simplify (+ 1 0) into 1 3.512 * [backup-simplify]: Simplify (sqrt 1) into 1 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.514 * [taylor]: Taking taylor expansion of 1 in y 3.514 * [backup-simplify]: Simplify 1 into 1 3.515 * [taylor]: Taking taylor expansion of 0 in y 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.517 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.517 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.517 * [taylor]: Taking taylor expansion of 1/2 in y 3.517 * [backup-simplify]: Simplify 1/2 into 1/2 3.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.517 * [taylor]: Taking taylor expansion of y in y 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.517 * [backup-simplify]: Simplify (* 1 1) into 1 3.517 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.519 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.520 * [backup-simplify]: Simplify (+ 0 0) into 0 3.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.520 * [taylor]: Taking taylor expansion of 0 in y 3.520 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.521 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.522 * [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))) 3.522 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 3.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 3.522 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.522 * [taylor]: Taking taylor expansion of x in y 3.522 * [backup-simplify]: Simplify x into x 3.522 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.522 * [taylor]: Taking taylor expansion of 3 in y 3.522 * [backup-simplify]: Simplify 3 into 3 3.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.522 * [taylor]: Taking taylor expansion of y in y 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.522 * [taylor]: Taking taylor expansion of x in x 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.522 * [taylor]: Taking taylor expansion of 3 in x 3.522 * [backup-simplify]: Simplify 3 into 3 3.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.522 * [taylor]: Taking taylor expansion of y in x 3.522 * [backup-simplify]: Simplify y into y 3.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.522 * [taylor]: Taking taylor expansion of x in x 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.522 * [taylor]: Taking taylor expansion of 3 in x 3.522 * [backup-simplify]: Simplify 3 into 3 3.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.522 * [taylor]: Taking taylor expansion of y in x 3.522 * [backup-simplify]: Simplify y into y 3.522 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.523 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 3.523 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 3.523 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.523 * [taylor]: Taking taylor expansion of 3 in y 3.523 * [backup-simplify]: Simplify 3 into 3 3.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.523 * [taylor]: Taking taylor expansion of y in y 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify 1 into 1 3.523 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.523 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [taylor]: Taking taylor expansion of 0 in y 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify (* 1 1) into 1 3.524 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.525 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.525 * [backup-simplify]: Simplify (+ 1 0) into 1 3.525 * [taylor]: Taking taylor expansion of 1 in y 3.525 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify (* 1 1) into 1 3.526 * [backup-simplify]: Simplify (* 3 1) into 3 3.526 * [backup-simplify]: Simplify 3 into 3 3.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.526 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.527 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.528 * [taylor]: Taking taylor expansion of 0 in y 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.528 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.528 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.530 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.531 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 3.531 * [backup-simplify]: Simplify (+ 0 0) into 0 3.531 * [taylor]: Taking taylor expansion of 0 in y 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 3.532 * [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)))) 3.532 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 3.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.532 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.532 * [taylor]: Taking taylor expansion of x in y 3.532 * [backup-simplify]: Simplify x into x 3.532 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.532 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.532 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.532 * [taylor]: Taking taylor expansion of 3 in y 3.532 * [backup-simplify]: Simplify 3 into 3 3.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.532 * [taylor]: Taking taylor expansion of y in y 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify 1 into 1 3.532 * [backup-simplify]: Simplify (* 1 1) into 1 3.532 * [backup-simplify]: Simplify (/ 1 1) into 1 3.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.533 * [taylor]: Taking taylor expansion of x in x 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify 1 into 1 3.533 * [backup-simplify]: Simplify (* 1 1) into 1 3.533 * [backup-simplify]: Simplify (/ 1 1) into 1 3.533 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.533 * [taylor]: Taking taylor expansion of 3 in x 3.533 * [backup-simplify]: Simplify 3 into 3 3.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.533 * [taylor]: Taking taylor expansion of y in x 3.533 * [backup-simplify]: Simplify y into y 3.533 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.533 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.533 * [taylor]: Taking taylor expansion of x in x 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify 1 into 1 3.534 * [backup-simplify]: Simplify (* 1 1) into 1 3.534 * [backup-simplify]: Simplify (/ 1 1) into 1 3.534 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.534 * [taylor]: Taking taylor expansion of 3 in x 3.534 * [backup-simplify]: Simplify 3 into 3 3.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.534 * [taylor]: Taking taylor expansion of y in x 3.534 * [backup-simplify]: Simplify y into y 3.534 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.534 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.535 * [backup-simplify]: Simplify (+ 1 0) into 1 3.535 * [taylor]: Taking taylor expansion of 1 in y 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (+ 0 0) into 0 3.536 * [taylor]: Taking taylor expansion of 0 in y 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 3.537 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 3.537 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.537 * [taylor]: Taking taylor expansion of 3 in y 3.537 * [backup-simplify]: Simplify 3 into 3 3.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.537 * [taylor]: Taking taylor expansion of y in y 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.538 * [backup-simplify]: Simplify (* 1 1) into 1 3.538 * [backup-simplify]: Simplify (/ 1 1) into 1 3.538 * [backup-simplify]: Simplify (* 3 1) into 3 3.538 * [backup-simplify]: Simplify 3 into 3 3.538 * [backup-simplify]: Simplify 1 into 1 3.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.540 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.540 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 3.540 * [backup-simplify]: Simplify (+ 0 0) into 0 3.540 * [taylor]: Taking taylor expansion of 0 in y 3.540 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.542 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.543 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.544 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.544 * [backup-simplify]: Simplify (+ 0 0) into 0 3.544 * [taylor]: Taking taylor expansion of 0 in y 3.544 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.546 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [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))) 3.547 * [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)))) 3.547 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 3.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.547 * [taylor]: Taking taylor expansion of x in y 3.547 * [backup-simplify]: Simplify x into x 3.547 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.548 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.548 * [taylor]: Taking taylor expansion of 3 in y 3.548 * [backup-simplify]: Simplify 3 into 3 3.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.548 * [taylor]: Taking taylor expansion of y in y 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.548 * [backup-simplify]: Simplify (* 1 1) into 1 3.549 * [backup-simplify]: Simplify (/ 1 1) into 1 3.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.549 * [taylor]: Taking taylor expansion of x in x 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (* 1 1) into 1 3.550 * [backup-simplify]: Simplify (/ 1 1) into 1 3.550 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.550 * [taylor]: Taking taylor expansion of 3 in x 3.550 * [backup-simplify]: Simplify 3 into 3 3.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.550 * [taylor]: Taking taylor expansion of y in x 3.550 * [backup-simplify]: Simplify y into y 3.550 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.550 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.550 * [taylor]: Taking taylor expansion of x in x 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.551 * [backup-simplify]: Simplify (* 1 1) into 1 3.551 * [backup-simplify]: Simplify (/ 1 1) into 1 3.551 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.551 * [taylor]: Taking taylor expansion of 3 in x 3.551 * [backup-simplify]: Simplify 3 into 3 3.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.551 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.551 * [taylor]: Taking taylor expansion of y in x 3.551 * [backup-simplify]: Simplify y into y 3.551 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.551 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.552 * [backup-simplify]: Simplify (+ 1 0) into 1 3.552 * [taylor]: Taking taylor expansion of 1 in y 3.552 * [backup-simplify]: Simplify 1 into 1 3.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ 0 0) into 0 3.554 * [taylor]: Taking taylor expansion of 0 in y 3.554 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.556 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 3.556 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 3.556 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.556 * [taylor]: Taking taylor expansion of 3 in y 3.556 * [backup-simplify]: Simplify 3 into 3 3.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.556 * [taylor]: Taking taylor expansion of y in y 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 1 into 1 3.557 * [backup-simplify]: Simplify (* 1 1) into 1 3.557 * [backup-simplify]: Simplify (/ 1 1) into 1 3.557 * [backup-simplify]: Simplify (* 3 1) into 3 3.557 * [backup-simplify]: Simplify 3 into 3 3.558 * [backup-simplify]: Simplify 1 into 1 3.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.561 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 3.561 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [taylor]: Taking taylor expansion of 0 in y 3.561 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.568 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.568 * [backup-simplify]: Simplify (+ 0 0) into 0 3.568 * [taylor]: Taking taylor expansion of 0 in y 3.568 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.571 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [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))) 3.571 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.572 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2)) 3.572 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.572 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.572 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.572 * [taylor]: Taking taylor expansion of x in y 3.572 * [backup-simplify]: Simplify x into x 3.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.572 * [taylor]: Taking taylor expansion of y in y 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.572 * [taylor]: Taking taylor expansion of x in x 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.572 * [taylor]: Taking taylor expansion of y in x 3.572 * [backup-simplify]: Simplify y into y 3.572 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.573 * [taylor]: Taking taylor expansion of x in x 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.573 * [taylor]: Taking taylor expansion of y in x 3.573 * [backup-simplify]: Simplify y into y 3.573 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.573 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.573 * [taylor]: Taking taylor expansion of y in y 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.574 * [backup-simplify]: Simplify (+ 0 0) into 0 3.574 * [taylor]: Taking taylor expansion of 0 in y 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify (* 1 1) into 1 3.575 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.575 * [backup-simplify]: Simplify (+ 1 0) into 1 3.575 * [taylor]: Taking taylor expansion of 1 in y 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify (* 1 1) into 1 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.577 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.578 * [backup-simplify]: Simplify (+ 0 0) into 0 3.578 * [taylor]: Taking taylor expansion of 0 in y 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.580 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.585 * [backup-simplify]: Simplify (+ 0 0) into 0 3.585 * [taylor]: Taking taylor expansion of 0 in y 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 3.585 * [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))) 3.585 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.586 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.586 * [taylor]: Taking taylor expansion of x in y 3.586 * [backup-simplify]: Simplify x into x 3.586 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.586 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.586 * [taylor]: Taking taylor expansion of y in y 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (* 1 1) into 1 3.586 * [backup-simplify]: Simplify (/ 1 1) into 1 3.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.587 * [taylor]: Taking taylor expansion of x in x 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 1 into 1 3.587 * [backup-simplify]: Simplify (* 1 1) into 1 3.587 * [backup-simplify]: Simplify (/ 1 1) into 1 3.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.587 * [taylor]: Taking taylor expansion of y in x 3.587 * [backup-simplify]: Simplify y into y 3.587 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.587 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.587 * [taylor]: Taking taylor expansion of x in x 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 1 into 1 3.588 * [backup-simplify]: Simplify (* 1 1) into 1 3.588 * [backup-simplify]: Simplify (/ 1 1) into 1 3.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.588 * [taylor]: Taking taylor expansion of y in x 3.588 * [backup-simplify]: Simplify y into y 3.588 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.588 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.588 * [backup-simplify]: Simplify (+ 1 0) into 1 3.588 * [taylor]: Taking taylor expansion of 1 in y 3.588 * [backup-simplify]: Simplify 1 into 1 3.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (+ 0 0) into 0 3.590 * [taylor]: Taking taylor expansion of 0 in y 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.591 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.591 * [taylor]: Taking taylor expansion of y in y 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [backup-simplify]: Simplify (* 1 1) into 1 3.591 * [backup-simplify]: Simplify (/ 1 1) into 1 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [backup-simplify]: Simplify 1 into 1 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.593 * [backup-simplify]: Simplify (+ 0 0) into 0 3.593 * [taylor]: Taking taylor expansion of 0 in y 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.597 * [taylor]: Taking taylor expansion of 0 in y 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.598 * [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))) 3.599 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.599 * [taylor]: Taking taylor expansion of x in y 3.599 * [backup-simplify]: Simplify x into x 3.599 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.599 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.599 * [taylor]: Taking taylor expansion of y in y 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (* 1 1) into 1 3.599 * [backup-simplify]: Simplify (/ 1 1) into 1 3.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.599 * [taylor]: Taking taylor expansion of x in x 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.600 * [backup-simplify]: Simplify (* 1 1) into 1 3.600 * [backup-simplify]: Simplify (/ 1 1) into 1 3.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.600 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.600 * [taylor]: Taking taylor expansion of y in x 3.600 * [backup-simplify]: Simplify y into y 3.600 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.600 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.600 * [taylor]: Taking taylor expansion of x in x 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.600 * [backup-simplify]: Simplify (* 1 1) into 1 3.601 * [backup-simplify]: Simplify (/ 1 1) into 1 3.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.601 * [taylor]: Taking taylor expansion of y in x 3.601 * [backup-simplify]: Simplify y into y 3.601 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.601 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.601 * [backup-simplify]: Simplify (+ 1 0) into 1 3.601 * [taylor]: Taking taylor expansion of 1 in y 3.601 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.602 * [taylor]: Taking taylor expansion of 0 in y 3.602 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.604 * [taylor]: Taking taylor expansion of y in y 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (* 1 1) into 1 3.604 * [backup-simplify]: Simplify (/ 1 1) into 1 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify 1 into 1 3.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.606 * [backup-simplify]: Simplify (+ 0 0) into 0 3.606 * [taylor]: Taking taylor expansion of 0 in y 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.609 * [backup-simplify]: Simplify (+ 0 0) into 0 3.609 * [taylor]: Taking taylor expansion of 0 in y 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.610 * * * [progress]: simplifying candidates 3.613 * [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)) 3.619 * * [simplify]: Extracting # 0 : cost 0 3.619 * * [simplify]: Extracting # 1 : cost 0 3.619 * * [simplify]: Extracting # 2 : cost 0 3.619 * * [simplify]: Extracting # 3 : cost 0 3.620 * * [simplify]: Extracting # 4 : cost 0 3.620 * * [simplify]: Extracting # 5 : cost 0 3.620 * * [simplify]: Extracting # 6 : cost 0 3.621 * * [simplify]: Extracting # 7 : cost 0 3.621 * * [simplify]: iteration 0 : 111 enodes (cost 2347 ) 3.673 * * [simplify]: Extracting # 0 : cost 0 3.673 * * [simplify]: Extracting # 1 : cost 0 3.674 * * [simplify]: Extracting # 2 : cost 0 3.674 * * [simplify]: Extracting # 3 : cost 0 3.674 * * [simplify]: Extracting # 4 : cost 0 3.674 * * [simplify]: Extracting # 5 : cost 0 3.675 * * [simplify]: iteration 1 : 249 enodes (cost 1542 ) 3.758 * * [simplify]: Extracting # 0 : cost 0 3.759 * * [simplify]: Extracting # 1 : cost 0 3.764 * * [simplify]: Extracting # 2 : cost 0 3.765 * * [simplify]: Extracting # 3 : cost 0 3.766 * * [simplify]: Extracting # 4 : cost 0 3.767 * * [simplify]: Extracting # 5 : cost 0 3.767 * * [simplify]: iteration 2 : 778 enodes (cost 1300 ) 4.444 * * [simplify]: Extracting # 0 : cost 0 4.448 * * [simplify]: Extracting # 1 : cost 0 4.451 * * [simplify]: Extracting # 2 : cost 0 4.454 * * [simplify]: Extracting # 3 : cost 0 4.457 * * [simplify]: Extracting # 4 : cost 0 4.461 * * [simplify]: iteration 3 : 2800 enodes (cost 1201 ) 5.826 * * [simplify]: Extracting # 0 : cost 0 5.838 * * [simplify]: Extracting # 1 : cost 0 5.846 * * [simplify]: Extracting # 2 : cost 0 5.855 * * [simplify]: Extracting # 3 : cost 0 5.865 * * [simplify]: Extracting # 4 : cost 0 5.875 * * [simplify]: iteration done: 5000 enodes (cost 1179 ) 5.876 * [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)) 5.876 * * * [progress]: adding candidates to table 6.131 * * [progress]: iteration 3 / 4 6.131 * * * [progress]: picking best candidate 6.178 * * * * [pick]: Picked # 6.178 * * * [progress]: localizing error 6.209 * * * [progress]: generating rewritten candidates 6.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 6.235 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.349 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.391 * * * [progress]: generating series expansions 6.391 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 6.392 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (* 2 (pow y 2)))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 6.392 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 6.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 6.392 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 6.392 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.392 * [taylor]: Taking taylor expansion of x in y 6.392 * [backup-simplify]: Simplify x into x 6.392 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.392 * [taylor]: Taking taylor expansion of 2 in y 6.392 * [backup-simplify]: Simplify 2 into 2 6.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.392 * [taylor]: Taking taylor expansion of y in y 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify 1 into 1 6.392 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.392 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.392 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.392 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.393 * [backup-simplify]: Simplify (+ 0 0) into 0 6.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.393 * [taylor]: Taking taylor expansion of x in x 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.393 * [taylor]: Taking taylor expansion of 2 in x 6.393 * [backup-simplify]: Simplify 2 into 2 6.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.393 * [taylor]: Taking taylor expansion of y in x 6.393 * [backup-simplify]: Simplify y into y 6.393 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.393 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.393 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.393 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.393 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.394 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.394 * [backup-simplify]: Simplify (+ 0 0) into 0 6.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.394 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.394 * [taylor]: Taking taylor expansion of x in x 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 1 into 1 6.394 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.394 * [taylor]: Taking taylor expansion of 2 in x 6.394 * [backup-simplify]: Simplify 2 into 2 6.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.394 * [taylor]: Taking taylor expansion of y in x 6.394 * [backup-simplify]: Simplify y into y 6.394 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.395 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.395 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.395 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.395 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.395 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.395 * [backup-simplify]: Simplify (+ 0 0) into 0 6.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.396 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.396 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.396 * [taylor]: Taking taylor expansion of 2 in y 6.396 * [backup-simplify]: Simplify 2 into 2 6.396 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.396 * [taylor]: Taking taylor expansion of y in y 6.396 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 1 into 1 6.397 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [taylor]: Taking taylor expansion of 0 in y 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.398 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.399 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.399 * [backup-simplify]: Simplify (* 1 1) into 1 6.399 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.400 * [backup-simplify]: Simplify (+ 1 0) into 1 6.401 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 6.401 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 6.401 * [taylor]: Taking taylor expansion of 1/2 in y 6.401 * [backup-simplify]: Simplify 1/2 into 1/2 6.401 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.401 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.401 * [taylor]: Taking taylor expansion of 2 in y 6.401 * [backup-simplify]: Simplify 2 into 2 6.401 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.402 * [taylor]: Taking taylor expansion of y in y 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.403 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.404 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 6.405 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.405 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.406 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 6.406 * [backup-simplify]: Simplify 0 into 0 6.406 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.407 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.407 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.408 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.409 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.409 * [backup-simplify]: Simplify (+ 0 0) into 0 6.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 6.410 * [taylor]: Taking taylor expansion of 0 in y 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.412 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.412 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify 0 into 0 6.413 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 6.413 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 x) 2) (* 2 (pow (/ 1 y) 2)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 6.413 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 6.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.413 * [taylor]: Taking taylor expansion of x in y 6.413 * [backup-simplify]: Simplify x into x 6.413 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.413 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.413 * [taylor]: Taking taylor expansion of 2 in y 6.413 * [backup-simplify]: Simplify 2 into 2 6.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.413 * [taylor]: Taking taylor expansion of y in y 6.413 * [backup-simplify]: Simplify 0 into 0 6.413 * [backup-simplify]: Simplify 1 into 1 6.414 * [backup-simplify]: Simplify (* 1 1) into 1 6.414 * [backup-simplify]: Simplify (/ 1 1) into 1 6.414 * [backup-simplify]: Simplify (* 2 1) into 2 6.414 * [backup-simplify]: Simplify (+ 0 2) into 2 6.415 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.417 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.417 * [backup-simplify]: Simplify (+ 0 0) into 0 6.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.418 * [taylor]: Taking taylor expansion of x in x 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.419 * [backup-simplify]: Simplify (* 1 1) into 1 6.419 * [backup-simplify]: Simplify (/ 1 1) into 1 6.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.419 * [taylor]: Taking taylor expansion of 2 in x 6.419 * [backup-simplify]: Simplify 2 into 2 6.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.419 * [taylor]: Taking taylor expansion of y in x 6.419 * [backup-simplify]: Simplify y into y 6.419 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.420 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.420 * [backup-simplify]: Simplify (+ 1 0) into 1 6.426 * [backup-simplify]: Simplify (sqrt 1) into 1 6.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.428 * [backup-simplify]: Simplify (+ 0 0) into 0 6.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.429 * [taylor]: Taking taylor expansion of x in x 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 1 into 1 6.429 * [backup-simplify]: Simplify (* 1 1) into 1 6.429 * [backup-simplify]: Simplify (/ 1 1) into 1 6.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.429 * [taylor]: Taking taylor expansion of 2 in x 6.429 * [backup-simplify]: Simplify 2 into 2 6.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.430 * [taylor]: Taking taylor expansion of y in x 6.430 * [backup-simplify]: Simplify y into y 6.430 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.430 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.430 * [backup-simplify]: Simplify (+ 1 0) into 1 6.431 * [backup-simplify]: Simplify (sqrt 1) into 1 6.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.432 * [backup-simplify]: Simplify (+ 0 0) into 0 6.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.433 * [taylor]: Taking taylor expansion of 1 in y 6.433 * [backup-simplify]: Simplify 1 into 1 6.433 * [taylor]: Taking taylor expansion of 0 in y 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 1 into 1 6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.435 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.436 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.437 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 6.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.437 * [taylor]: Taking taylor expansion of y in y 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 1 into 1 6.437 * [backup-simplify]: Simplify (* 1 1) into 1 6.438 * [backup-simplify]: Simplify (/ 1 1) into 1 6.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.441 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.442 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.442 * [backup-simplify]: Simplify (+ 0 0) into 0 6.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 6.443 * [taylor]: Taking taylor expansion of 0 in y 6.443 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 6.446 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- x)) 2) (* 2 (pow (/ 1 (- y)) 2)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 6.446 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 6.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.446 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.446 * [taylor]: Taking taylor expansion of x in y 6.446 * [backup-simplify]: Simplify x into x 6.446 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.446 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.446 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.446 * [taylor]: Taking taylor expansion of 2 in y 6.446 * [backup-simplify]: Simplify 2 into 2 6.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.446 * [taylor]: Taking taylor expansion of y in y 6.447 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify 1 into 1 6.447 * [backup-simplify]: Simplify (* 1 1) into 1 6.448 * [backup-simplify]: Simplify (/ 1 1) into 1 6.448 * [backup-simplify]: Simplify (* 2 1) into 2 6.448 * [backup-simplify]: Simplify (+ 0 2) into 2 6.449 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.451 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.452 * [backup-simplify]: Simplify (+ 0 0) into 0 6.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.453 * [taylor]: Taking taylor expansion of x in x 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (* 1 1) into 1 6.453 * [backup-simplify]: Simplify (/ 1 1) into 1 6.453 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.453 * [taylor]: Taking taylor expansion of 2 in x 6.454 * [backup-simplify]: Simplify 2 into 2 6.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.454 * [taylor]: Taking taylor expansion of y in x 6.454 * [backup-simplify]: Simplify y into y 6.454 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.454 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.454 * [backup-simplify]: Simplify (+ 1 0) into 1 6.455 * [backup-simplify]: Simplify (sqrt 1) into 1 6.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.457 * [backup-simplify]: Simplify (+ 0 0) into 0 6.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.458 * [taylor]: Taking taylor expansion of x in x 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 1 into 1 6.458 * [backup-simplify]: Simplify (* 1 1) into 1 6.458 * [backup-simplify]: Simplify (/ 1 1) into 1 6.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.458 * [taylor]: Taking taylor expansion of 2 in x 6.458 * [backup-simplify]: Simplify 2 into 2 6.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.458 * [taylor]: Taking taylor expansion of y in x 6.458 * [backup-simplify]: Simplify y into y 6.459 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.459 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.460 * [backup-simplify]: Simplify (+ 1 0) into 1 6.460 * [backup-simplify]: Simplify (sqrt 1) into 1 6.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.462 * [backup-simplify]: Simplify (+ 0 0) into 0 6.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.462 * [taylor]: Taking taylor expansion of 1 in y 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [taylor]: Taking taylor expansion of 0 in y 6.462 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.464 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.465 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.466 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 6.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.466 * [taylor]: Taking taylor expansion of y in y 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [backup-simplify]: Simplify (* 1 1) into 1 6.467 * [backup-simplify]: Simplify (/ 1 1) into 1 6.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.470 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.471 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.472 * [backup-simplify]: Simplify (+ 0 0) into 0 6.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 6.473 * [taylor]: Taking taylor expansion of 0 in y 6.473 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.474 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 6.475 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.475 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (* 2 (pow y 2)))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 6.475 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 6.475 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 6.475 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 6.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.475 * [taylor]: Taking taylor expansion of x in y 6.475 * [backup-simplify]: Simplify x into x 6.476 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.476 * [taylor]: Taking taylor expansion of 2 in y 6.476 * [backup-simplify]: Simplify 2 into 2 6.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.476 * [taylor]: Taking taylor expansion of y in y 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 1 into 1 6.476 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.476 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.476 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.476 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.477 * [backup-simplify]: Simplify (+ 0 0) into 0 6.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.477 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.477 * [taylor]: Taking taylor expansion of x in x 6.477 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify 1 into 1 6.477 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.477 * [taylor]: Taking taylor expansion of 2 in x 6.477 * [backup-simplify]: Simplify 2 into 2 6.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.477 * [taylor]: Taking taylor expansion of y in x 6.477 * [backup-simplify]: Simplify y into y 6.477 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.477 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.478 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.478 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.478 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.478 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.479 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.479 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.479 * [taylor]: Taking taylor expansion of x in x 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 1 into 1 6.479 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.479 * [taylor]: Taking taylor expansion of 2 in x 6.479 * [backup-simplify]: Simplify 2 into 2 6.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.479 * [taylor]: Taking taylor expansion of y in x 6.479 * [backup-simplify]: Simplify y into y 6.479 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.480 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.480 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.480 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.480 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.481 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.481 * [backup-simplify]: Simplify (+ 0 0) into 0 6.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.482 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.482 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.482 * [taylor]: Taking taylor expansion of 2 in y 6.482 * [backup-simplify]: Simplify 2 into 2 6.483 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.484 * [taylor]: Taking taylor expansion of y in y 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 1 into 1 6.484 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [taylor]: Taking taylor expansion of 0 in y 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.488 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.488 * [backup-simplify]: Simplify (* 1 1) into 1 6.489 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.490 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.490 * [backup-simplify]: Simplify (+ 1 0) into 1 6.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 6.491 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 6.491 * [taylor]: Taking taylor expansion of 1/2 in y 6.491 * [backup-simplify]: Simplify 1/2 into 1/2 6.491 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.491 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.492 * [taylor]: Taking taylor expansion of 2 in y 6.492 * [backup-simplify]: Simplify 2 into 2 6.492 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.493 * [taylor]: Taking taylor expansion of y in y 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.493 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.495 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.496 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 6.497 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.498 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.500 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.502 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.502 * [backup-simplify]: Simplify 0 into 0 6.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.503 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.505 * [backup-simplify]: Simplify (+ 0 0) into 0 6.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 6.506 * [taylor]: Taking taylor expansion of 0 in y 6.506 * [backup-simplify]: Simplify 0 into 0 6.506 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.509 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.510 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 6.510 * [backup-simplify]: Simplify 0 into 0 6.510 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 6.511 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 x) 2) (* 2 (pow (/ 1 y) 2)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 6.511 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 6.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.511 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.511 * [taylor]: Taking taylor expansion of x in y 6.511 * [backup-simplify]: Simplify x into x 6.511 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.512 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.512 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.512 * [taylor]: Taking taylor expansion of 2 in y 6.512 * [backup-simplify]: Simplify 2 into 2 6.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.512 * [taylor]: Taking taylor expansion of y in y 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify (* 1 1) into 1 6.513 * [backup-simplify]: Simplify (/ 1 1) into 1 6.513 * [backup-simplify]: Simplify (* 2 1) into 2 6.514 * [backup-simplify]: Simplify (+ 0 2) into 2 6.514 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.516 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.516 * [backup-simplify]: Simplify (+ 0 0) into 0 6.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.517 * [taylor]: Taking taylor expansion of x in x 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 1 into 1 6.518 * [backup-simplify]: Simplify (* 1 1) into 1 6.518 * [backup-simplify]: Simplify (/ 1 1) into 1 6.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.518 * [taylor]: Taking taylor expansion of 2 in x 6.518 * [backup-simplify]: Simplify 2 into 2 6.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.518 * [taylor]: Taking taylor expansion of y in x 6.518 * [backup-simplify]: Simplify y into y 6.518 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.518 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.519 * [backup-simplify]: Simplify (+ 1 0) into 1 6.519 * [backup-simplify]: Simplify (sqrt 1) into 1 6.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.521 * [backup-simplify]: Simplify (+ 0 0) into 0 6.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (* 1 1) into 1 6.523 * [backup-simplify]: Simplify (/ 1 1) into 1 6.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.523 * [taylor]: Taking taylor expansion of 2 in x 6.523 * [backup-simplify]: Simplify 2 into 2 6.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.523 * [taylor]: Taking taylor expansion of y in x 6.523 * [backup-simplify]: Simplify y into y 6.523 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.523 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.524 * [backup-simplify]: Simplify (+ 1 0) into 1 6.524 * [backup-simplify]: Simplify (sqrt 1) into 1 6.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.526 * [backup-simplify]: Simplify (+ 0 0) into 0 6.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.527 * [taylor]: Taking taylor expansion of 1 in y 6.527 * [backup-simplify]: Simplify 1 into 1 6.527 * [taylor]: Taking taylor expansion of 0 in y 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.529 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.529 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.530 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 6.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.530 * [taylor]: Taking taylor expansion of y in y 6.530 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 1 into 1 6.531 * [backup-simplify]: Simplify (* 1 1) into 1 6.531 * [backup-simplify]: Simplify (/ 1 1) into 1 6.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.536 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.536 * [backup-simplify]: Simplify (+ 0 0) into 0 6.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 6.537 * [taylor]: Taking taylor expansion of 0 in y 6.537 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 6.539 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- x)) 2) (* 2 (pow (/ 1 (- y)) 2)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 6.539 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 6.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.539 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.539 * [taylor]: Taking taylor expansion of x in y 6.539 * [backup-simplify]: Simplify x into x 6.539 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.540 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.540 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.540 * [taylor]: Taking taylor expansion of 2 in y 6.540 * [backup-simplify]: Simplify 2 into 2 6.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.540 * [taylor]: Taking taylor expansion of y in y 6.540 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify 1 into 1 6.540 * [backup-simplify]: Simplify (* 1 1) into 1 6.541 * [backup-simplify]: Simplify (/ 1 1) into 1 6.541 * [backup-simplify]: Simplify (* 2 1) into 2 6.541 * [backup-simplify]: Simplify (+ 0 2) into 2 6.542 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.543 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.544 * [backup-simplify]: Simplify (+ 0 0) into 0 6.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.544 * [taylor]: Taking taylor expansion of x in x 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify 1 into 1 6.544 * [backup-simplify]: Simplify (* 1 1) into 1 6.545 * [backup-simplify]: Simplify (/ 1 1) into 1 6.545 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.545 * [taylor]: Taking taylor expansion of 2 in x 6.545 * [backup-simplify]: Simplify 2 into 2 6.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.545 * [taylor]: Taking taylor expansion of y in x 6.545 * [backup-simplify]: Simplify y into y 6.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.545 * [backup-simplify]: Simplify (+ 1 0) into 1 6.545 * [backup-simplify]: Simplify (sqrt 1) into 1 6.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.546 * [backup-simplify]: Simplify (+ 0 0) into 0 6.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.547 * [taylor]: Taking taylor expansion of x in x 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 1 into 1 6.547 * [backup-simplify]: Simplify (* 1 1) into 1 6.547 * [backup-simplify]: Simplify (/ 1 1) into 1 6.547 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.547 * [taylor]: Taking taylor expansion of 2 in x 6.547 * [backup-simplify]: Simplify 2 into 2 6.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.548 * [taylor]: Taking taylor expansion of y in x 6.548 * [backup-simplify]: Simplify y into y 6.548 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.548 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.548 * [backup-simplify]: Simplify (+ 1 0) into 1 6.548 * [backup-simplify]: Simplify (sqrt 1) into 1 6.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.549 * [backup-simplify]: Simplify (+ 0 0) into 0 6.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.550 * [taylor]: Taking taylor expansion of 1 in y 6.550 * [backup-simplify]: Simplify 1 into 1 6.550 * [taylor]: Taking taylor expansion of 0 in y 6.550 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify 1 into 1 6.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.551 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.551 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.552 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 6.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.552 * [taylor]: Taking taylor expansion of y in y 6.552 * [backup-simplify]: Simplify 0 into 0 6.552 * [backup-simplify]: Simplify 1 into 1 6.552 * [backup-simplify]: Simplify (* 1 1) into 1 6.552 * [backup-simplify]: Simplify (/ 1 1) into 1 6.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.554 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.555 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.555 * [backup-simplify]: Simplify (+ 0 0) into 0 6.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 6.556 * [taylor]: Taking taylor expansion of 0 in y 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 6.557 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.557 * [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))) 6.557 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 6.557 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 6.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.557 * [taylor]: Taking taylor expansion of x in y 6.557 * [backup-simplify]: Simplify x into x 6.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.558 * [taylor]: Taking taylor expansion of 2 in y 6.558 * [backup-simplify]: Simplify 2 into 2 6.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.558 * [taylor]: Taking taylor expansion of y in y 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 1 into 1 6.558 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.558 * [taylor]: Taking taylor expansion of x in x 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 1 into 1 6.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.558 * [taylor]: Taking taylor expansion of 2 in x 6.558 * [backup-simplify]: Simplify 2 into 2 6.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.558 * [taylor]: Taking taylor expansion of y in x 6.558 * [backup-simplify]: Simplify y into y 6.558 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.558 * [taylor]: Taking taylor expansion of x in x 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 1 into 1 6.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.558 * [taylor]: Taking taylor expansion of 2 in x 6.558 * [backup-simplify]: Simplify 2 into 2 6.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.558 * [taylor]: Taking taylor expansion of y in x 6.558 * [backup-simplify]: Simplify y into y 6.558 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.558 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.558 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.558 * [taylor]: Taking taylor expansion of 2 in y 6.558 * [backup-simplify]: Simplify 2 into 2 6.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.558 * [taylor]: Taking taylor expansion of y in y 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 1 into 1 6.558 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.559 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.559 * [backup-simplify]: Simplify (+ 0 0) into 0 6.559 * [taylor]: Taking taylor expansion of 0 in y 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify (* 1 1) into 1 6.560 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.560 * [backup-simplify]: Simplify (+ 1 0) into 1 6.561 * [taylor]: Taking taylor expansion of 1 in y 6.561 * [backup-simplify]: Simplify 1 into 1 6.561 * [backup-simplify]: Simplify 1 into 1 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify (* 1 1) into 1 6.561 * [backup-simplify]: Simplify (* 2 1) into 2 6.561 * [backup-simplify]: Simplify 2 into 2 6.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.562 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.563 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.563 * [backup-simplify]: Simplify (+ 0 0) into 0 6.563 * [taylor]: Taking taylor expansion of 0 in y 6.563 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.569 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.571 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.573 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.573 * [backup-simplify]: Simplify (+ 0 0) into 0 6.573 * [taylor]: Taking taylor expansion of 0 in y 6.573 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 6.575 * [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)))) 6.575 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 6.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.575 * [taylor]: Taking taylor expansion of x in y 6.575 * [backup-simplify]: Simplify x into x 6.575 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.575 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.575 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.575 * [taylor]: Taking taylor expansion of 2 in y 6.575 * [backup-simplify]: Simplify 2 into 2 6.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.575 * [taylor]: Taking taylor expansion of y in y 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 1 into 1 6.576 * [backup-simplify]: Simplify (* 1 1) into 1 6.576 * [backup-simplify]: Simplify (/ 1 1) into 1 6.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.576 * [taylor]: Taking taylor expansion of x in x 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (* 1 1) into 1 6.577 * [backup-simplify]: Simplify (/ 1 1) into 1 6.577 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.577 * [taylor]: Taking taylor expansion of 2 in x 6.577 * [backup-simplify]: Simplify 2 into 2 6.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.577 * [taylor]: Taking taylor expansion of y in x 6.577 * [backup-simplify]: Simplify y into y 6.577 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.578 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.578 * [taylor]: Taking taylor expansion of x in x 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (* 1 1) into 1 6.579 * [backup-simplify]: Simplify (/ 1 1) into 1 6.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.579 * [taylor]: Taking taylor expansion of 2 in x 6.579 * [backup-simplify]: Simplify 2 into 2 6.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.579 * [taylor]: Taking taylor expansion of y in x 6.579 * [backup-simplify]: Simplify y into y 6.579 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.579 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.580 * [backup-simplify]: Simplify (+ 1 0) into 1 6.580 * [taylor]: Taking taylor expansion of 1 in y 6.580 * [backup-simplify]: Simplify 1 into 1 6.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.581 * [backup-simplify]: Simplify (+ 0 0) into 0 6.581 * [taylor]: Taking taylor expansion of 0 in y 6.581 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.584 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.584 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.584 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.584 * [taylor]: Taking taylor expansion of 2 in y 6.584 * [backup-simplify]: Simplify 2 into 2 6.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.584 * [taylor]: Taking taylor expansion of y in y 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 1 into 1 6.584 * [backup-simplify]: Simplify (* 1 1) into 1 6.585 * [backup-simplify]: Simplify (/ 1 1) into 1 6.585 * [backup-simplify]: Simplify (* 2 1) into 2 6.585 * [backup-simplify]: Simplify 2 into 2 6.585 * [backup-simplify]: Simplify 1 into 1 6.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.587 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.588 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.589 * [backup-simplify]: Simplify (+ 0 0) into 0 6.589 * [taylor]: Taking taylor expansion of 0 in y 6.589 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.591 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.594 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.595 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 6.596 * [backup-simplify]: Simplify (+ 0 0) into 0 6.596 * [taylor]: Taking taylor expansion of 0 in y 6.596 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.599 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [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))) 6.600 * [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)))) 6.600 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 6.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.600 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.601 * [taylor]: Taking taylor expansion of x in y 6.601 * [backup-simplify]: Simplify x into x 6.601 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.601 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.601 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.601 * [taylor]: Taking taylor expansion of 2 in y 6.601 * [backup-simplify]: Simplify 2 into 2 6.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.601 * [taylor]: Taking taylor expansion of y in y 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify 1 into 1 6.602 * [backup-simplify]: Simplify (* 1 1) into 1 6.602 * [backup-simplify]: Simplify (/ 1 1) into 1 6.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.602 * [taylor]: Taking taylor expansion of x in x 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 1 into 1 6.602 * [backup-simplify]: Simplify (* 1 1) into 1 6.603 * [backup-simplify]: Simplify (/ 1 1) into 1 6.603 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.603 * [taylor]: Taking taylor expansion of 2 in x 6.603 * [backup-simplify]: Simplify 2 into 2 6.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.603 * [taylor]: Taking taylor expansion of y in x 6.603 * [backup-simplify]: Simplify y into y 6.603 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.603 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.604 * [taylor]: Taking taylor expansion of x in x 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify 1 into 1 6.604 * [backup-simplify]: Simplify (* 1 1) into 1 6.604 * [backup-simplify]: Simplify (/ 1 1) into 1 6.604 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.604 * [taylor]: Taking taylor expansion of 2 in x 6.604 * [backup-simplify]: Simplify 2 into 2 6.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.605 * [taylor]: Taking taylor expansion of y in x 6.605 * [backup-simplify]: Simplify y into y 6.605 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.605 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.605 * [backup-simplify]: Simplify (+ 1 0) into 1 6.605 * [taylor]: Taking taylor expansion of 1 in y 6.605 * [backup-simplify]: Simplify 1 into 1 6.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.607 * [backup-simplify]: Simplify (+ 0 0) into 0 6.607 * [taylor]: Taking taylor expansion of 0 in y 6.607 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.609 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.609 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.610 * [taylor]: Taking taylor expansion of 2 in y 6.610 * [backup-simplify]: Simplify 2 into 2 6.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.610 * [taylor]: Taking taylor expansion of y in y 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify 1 into 1 6.610 * [backup-simplify]: Simplify (* 1 1) into 1 6.610 * [backup-simplify]: Simplify (/ 1 1) into 1 6.611 * [backup-simplify]: Simplify (* 2 1) into 2 6.611 * [backup-simplify]: Simplify 2 into 2 6.611 * [backup-simplify]: Simplify 1 into 1 6.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.613 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.614 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.615 * [backup-simplify]: Simplify (+ 0 0) into 0 6.615 * [taylor]: Taking taylor expansion of 0 in y 6.615 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.617 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.620 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.621 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 6.622 * [backup-simplify]: Simplify (+ 0 0) into 0 6.622 * [taylor]: Taking taylor expansion of 0 in y 6.622 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.625 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.625 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify 0 into 0 6.625 * [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))) 6.625 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.626 * [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))) 6.626 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 6.626 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 6.626 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.626 * [taylor]: Taking taylor expansion of x in y 6.626 * [backup-simplify]: Simplify x into x 6.627 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.627 * [taylor]: Taking taylor expansion of 3 in y 6.627 * [backup-simplify]: Simplify 3 into 3 6.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.627 * [taylor]: Taking taylor expansion of y in y 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify 1 into 1 6.627 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.627 * [taylor]: Taking taylor expansion of x in x 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify 1 into 1 6.627 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.627 * [taylor]: Taking taylor expansion of 3 in x 6.627 * [backup-simplify]: Simplify 3 into 3 6.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.627 * [taylor]: Taking taylor expansion of y in x 6.627 * [backup-simplify]: Simplify y into y 6.627 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.627 * [taylor]: Taking taylor expansion of x in x 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify 1 into 1 6.627 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.627 * [taylor]: Taking taylor expansion of 3 in x 6.627 * [backup-simplify]: Simplify 3 into 3 6.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.627 * [taylor]: Taking taylor expansion of y in x 6.627 * [backup-simplify]: Simplify y into y 6.628 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.628 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 6.628 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 6.628 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.628 * [taylor]: Taking taylor expansion of 3 in y 6.628 * [backup-simplify]: Simplify 3 into 3 6.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.628 * [taylor]: Taking taylor expansion of y in y 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify 1 into 1 6.628 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.629 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 6.629 * [backup-simplify]: Simplify (+ 0 0) into 0 6.629 * [taylor]: Taking taylor expansion of 0 in y 6.629 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify 0 into 0 6.630 * [backup-simplify]: Simplify (* 1 1) into 1 6.630 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.631 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.632 * [backup-simplify]: Simplify (+ 1 0) into 1 6.632 * [taylor]: Taking taylor expansion of 1 in y 6.632 * [backup-simplify]: Simplify 1 into 1 6.632 * [backup-simplify]: Simplify 1 into 1 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify (* 1 1) into 1 6.633 * [backup-simplify]: Simplify (* 3 1) into 3 6.633 * [backup-simplify]: Simplify 3 into 3 6.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.634 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.635 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.636 * [backup-simplify]: Simplify (+ 0 0) into 0 6.636 * [taylor]: Taking taylor expansion of 0 in y 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.637 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.637 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.639 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.641 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.641 * [backup-simplify]: Simplify (+ 0 0) into 0 6.641 * [taylor]: Taking taylor expansion of 0 in y 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 6.643 * [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)))) 6.643 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 6.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.643 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.643 * [taylor]: Taking taylor expansion of x in y 6.643 * [backup-simplify]: Simplify x into x 6.643 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.643 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.643 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.644 * [taylor]: Taking taylor expansion of 3 in y 6.644 * [backup-simplify]: Simplify 3 into 3 6.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.644 * [taylor]: Taking taylor expansion of y in y 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify 1 into 1 6.644 * [backup-simplify]: Simplify (* 1 1) into 1 6.645 * [backup-simplify]: Simplify (/ 1 1) into 1 6.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.645 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.645 * [taylor]: Taking taylor expansion of x in x 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify 1 into 1 6.645 * [backup-simplify]: Simplify (* 1 1) into 1 6.646 * [backup-simplify]: Simplify (/ 1 1) into 1 6.646 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.646 * [taylor]: Taking taylor expansion of 3 in x 6.646 * [backup-simplify]: Simplify 3 into 3 6.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.646 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.646 * [taylor]: Taking taylor expansion of y in x 6.646 * [backup-simplify]: Simplify y into y 6.646 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.646 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.646 * [taylor]: Taking taylor expansion of x in x 6.646 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify 1 into 1 6.647 * [backup-simplify]: Simplify (* 1 1) into 1 6.647 * [backup-simplify]: Simplify (/ 1 1) into 1 6.647 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.647 * [taylor]: Taking taylor expansion of 3 in x 6.647 * [backup-simplify]: Simplify 3 into 3 6.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.647 * [taylor]: Taking taylor expansion of y in x 6.647 * [backup-simplify]: Simplify y into y 6.647 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.647 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.648 * [backup-simplify]: Simplify (+ 1 0) into 1 6.648 * [taylor]: Taking taylor expansion of 1 in y 6.648 * [backup-simplify]: Simplify 1 into 1 6.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.650 * [backup-simplify]: Simplify (+ 0 0) into 0 6.650 * [taylor]: Taking taylor expansion of 0 in y 6.650 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.652 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 6.652 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 6.652 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.652 * [taylor]: Taking taylor expansion of 3 in y 6.652 * [backup-simplify]: Simplify 3 into 3 6.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.652 * [taylor]: Taking taylor expansion of y in y 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.653 * [backup-simplify]: Simplify (* 1 1) into 1 6.653 * [backup-simplify]: Simplify (/ 1 1) into 1 6.654 * [backup-simplify]: Simplify (* 3 1) into 3 6.654 * [backup-simplify]: Simplify 3 into 3 6.654 * [backup-simplify]: Simplify 1 into 1 6.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.656 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.657 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 6.657 * [backup-simplify]: Simplify (+ 0 0) into 0 6.657 * [taylor]: Taking taylor expansion of 0 in y 6.657 * [backup-simplify]: Simplify 0 into 0 6.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.659 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.660 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.662 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.664 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 6.664 * [backup-simplify]: Simplify (+ 0 0) into 0 6.664 * [taylor]: Taking taylor expansion of 0 in y 6.664 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.667 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 6.668 * [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)))) 6.668 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 6.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.668 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.668 * [taylor]: Taking taylor expansion of x in y 6.668 * [backup-simplify]: Simplify x into x 6.668 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.668 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.668 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.668 * [taylor]: Taking taylor expansion of 3 in y 6.668 * [backup-simplify]: Simplify 3 into 3 6.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.668 * [taylor]: Taking taylor expansion of y in y 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify 1 into 1 6.669 * [backup-simplify]: Simplify (* 1 1) into 1 6.669 * [backup-simplify]: Simplify (/ 1 1) into 1 6.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.669 * [taylor]: Taking taylor expansion of x in x 6.669 * [backup-simplify]: Simplify 0 into 0 6.669 * [backup-simplify]: Simplify 1 into 1 6.669 * [backup-simplify]: Simplify (* 1 1) into 1 6.669 * [backup-simplify]: Simplify (/ 1 1) into 1 6.669 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.669 * [taylor]: Taking taylor expansion of 3 in x 6.669 * [backup-simplify]: Simplify 3 into 3 6.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.669 * [taylor]: Taking taylor expansion of y in x 6.669 * [backup-simplify]: Simplify y into y 6.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.670 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.670 * [taylor]: Taking taylor expansion of x in x 6.670 * [backup-simplify]: Simplify 0 into 0 6.670 * [backup-simplify]: Simplify 1 into 1 6.670 * [backup-simplify]: Simplify (* 1 1) into 1 6.670 * [backup-simplify]: Simplify (/ 1 1) into 1 6.670 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.670 * [taylor]: Taking taylor expansion of 3 in x 6.670 * [backup-simplify]: Simplify 3 into 3 6.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.670 * [taylor]: Taking taylor expansion of y in x 6.670 * [backup-simplify]: Simplify y into y 6.671 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.671 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.671 * [backup-simplify]: Simplify (+ 1 0) into 1 6.671 * [taylor]: Taking taylor expansion of 1 in y 6.671 * [backup-simplify]: Simplify 1 into 1 6.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.672 * [backup-simplify]: Simplify (+ 0 0) into 0 6.672 * [taylor]: Taking taylor expansion of 0 in y 6.672 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.673 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 6.673 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 6.673 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.673 * [taylor]: Taking taylor expansion of 3 in y 6.673 * [backup-simplify]: Simplify 3 into 3 6.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.673 * [taylor]: Taking taylor expansion of y in y 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 1 into 1 6.674 * [backup-simplify]: Simplify (* 1 1) into 1 6.674 * [backup-simplify]: Simplify (/ 1 1) into 1 6.674 * [backup-simplify]: Simplify (* 3 1) into 3 6.674 * [backup-simplify]: Simplify 3 into 3 6.674 * [backup-simplify]: Simplify 1 into 1 6.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.676 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 6.676 * [backup-simplify]: Simplify (+ 0 0) into 0 6.676 * [taylor]: Taking taylor expansion of 0 in y 6.676 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.677 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.679 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.680 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 6.680 * [backup-simplify]: Simplify (+ 0 0) into 0 6.680 * [taylor]: Taking taylor expansion of 0 in y 6.680 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.682 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 6.682 * * * [progress]: simplifying candidates 6.684 * [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))) 6.687 * * [simplify]: Extracting # 0 : cost 0 6.687 * * [simplify]: Extracting # 1 : cost 0 6.687 * * [simplify]: Extracting # 2 : cost 0 6.687 * * [simplify]: Extracting # 3 : cost 0 6.687 * * [simplify]: Extracting # 4 : cost 0 6.688 * * [simplify]: Extracting # 5 : cost 0 6.688 * * [simplify]: Extracting # 6 : cost 0 6.688 * * [simplify]: Extracting # 7 : cost 0 6.688 * * [simplify]: iteration 0 : 108 enodes (cost 2708 ) 6.748 * * [simplify]: Extracting # 0 : cost 0 6.748 * * [simplify]: Extracting # 1 : cost 0 6.749 * * [simplify]: Extracting # 2 : cost 0 6.749 * * [simplify]: Extracting # 3 : cost 0 6.750 * * [simplify]: Extracting # 4 : cost 0 6.750 * * [simplify]: Extracting # 5 : cost 0 6.751 * * [simplify]: iteration 1 : 247 enodes (cost 1699 ) 6.863 * * [simplify]: Extracting # 0 : cost 0 6.864 * * [simplify]: Extracting # 1 : cost 0 6.866 * * [simplify]: Extracting # 2 : cost 0 6.868 * * [simplify]: Extracting # 3 : cost 0 6.869 * * [simplify]: Extracting # 4 : cost 0 6.871 * * [simplify]: Extracting # 5 : cost 0 6.873 * * [simplify]: iteration 2 : 822 enodes (cost 1551 ) 7.910 * * [simplify]: Extracting # 0 : cost 0 7.914 * * [simplify]: Extracting # 1 : cost 0 7.918 * * [simplify]: Extracting # 2 : cost 0 7.924 * * [simplify]: Extracting # 3 : cost 0 7.931 * * [simplify]: Extracting # 4 : cost 0 7.937 * * [simplify]: Extracting # 5 : cost 0 7.941 * * [simplify]: iteration 3 : 3241 enodes (cost 1429 ) 9.555 * * [simplify]: Extracting # 0 : cost 0 9.568 * * [simplify]: Extracting # 1 : cost 0 9.574 * * [simplify]: Extracting # 2 : cost 0 9.583 * * [simplify]: Extracting # 3 : cost 0 9.593 * * [simplify]: Extracting # 4 : cost 0 9.604 * * [simplify]: iteration done: 5001 enodes (cost 1401 ) 9.605 * [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))) 9.606 * * * [progress]: adding candidates to table 9.939 * * [progress]: iteration 4 / 4 9.939 * * * [progress]: picking best candidate 9.968 * * * * [pick]: Picked # 9.968 * * * [progress]: localizing error 9.982 * * * [progress]: generating rewritten candidates 9.982 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 10.017 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 10.040 * * * [progress]: generating series expansions 10.041 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 10.041 * [backup-simplify]: Simplify (* y (* 3 y)) into (* 3 (pow y 2)) 10.041 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 10.041 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 10.041 * [taylor]: Taking taylor expansion of 3 in y 10.041 * [backup-simplify]: Simplify 3 into 3 10.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.041 * [taylor]: Taking taylor expansion of y in y 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 1 into 1 10.041 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 10.041 * [taylor]: Taking taylor expansion of 3 in y 10.041 * [backup-simplify]: Simplify 3 into 3 10.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.041 * [taylor]: Taking taylor expansion of y in y 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (* 1 1) into 1 10.042 * [backup-simplify]: Simplify (* 3 1) into 3 10.042 * [backup-simplify]: Simplify 3 into 3 10.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.043 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 10.043 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.045 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 10.045 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.047 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.047 * [backup-simplify]: Simplify 0 into 0 10.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.049 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.049 * [backup-simplify]: Simplify 0 into 0 10.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.051 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.051 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.052 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.052 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 10.053 * [backup-simplify]: Simplify (* (/ 1 y) (* 3 (/ 1 y))) into (/ 3 (pow y 2)) 10.053 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 10.053 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 10.053 * [taylor]: Taking taylor expansion of 3 in y 10.053 * [backup-simplify]: Simplify 3 into 3 10.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.053 * [taylor]: Taking taylor expansion of y in y 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 1 into 1 10.053 * [backup-simplify]: Simplify (* 1 1) into 1 10.053 * [backup-simplify]: Simplify (/ 3 1) into 3 10.053 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 10.053 * [taylor]: Taking taylor expansion of 3 in y 10.053 * [backup-simplify]: Simplify 3 into 3 10.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.053 * [taylor]: Taking taylor expansion of y in y 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 1 into 1 10.054 * [backup-simplify]: Simplify (* 1 1) into 1 10.054 * [backup-simplify]: Simplify (/ 3 1) into 3 10.054 * [backup-simplify]: Simplify 3 into 3 10.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 10.055 * [backup-simplify]: Simplify 0 into 0 10.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.056 * [backup-simplify]: Simplify 0 into 0 10.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.057 * [backup-simplify]: Simplify 0 into 0 10.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.058 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.060 * [backup-simplify]: Simplify 0 into 0 10.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.061 * [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 10.061 * [backup-simplify]: Simplify 0 into 0 10.061 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 10.061 * [backup-simplify]: Simplify (* (/ 1 (- y)) (* 3 (/ 1 (- y)))) into (/ 3 (pow y 2)) 10.061 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 10.061 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 10.061 * [taylor]: Taking taylor expansion of 3 in y 10.061 * [backup-simplify]: Simplify 3 into 3 10.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.061 * [taylor]: Taking taylor expansion of y in y 10.061 * [backup-simplify]: Simplify 0 into 0 10.061 * [backup-simplify]: Simplify 1 into 1 10.062 * [backup-simplify]: Simplify (* 1 1) into 1 10.062 * [backup-simplify]: Simplify (/ 3 1) into 3 10.062 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 10.062 * [taylor]: Taking taylor expansion of 3 in y 10.062 * [backup-simplify]: Simplify 3 into 3 10.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.062 * [taylor]: Taking taylor expansion of y in y 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [backup-simplify]: Simplify 1 into 1 10.062 * [backup-simplify]: Simplify (* 1 1) into 1 10.063 * [backup-simplify]: Simplify (/ 3 1) into 3 10.063 * [backup-simplify]: Simplify 3 into 3 10.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 10.063 * [backup-simplify]: Simplify 0 into 0 10.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.065 * [backup-simplify]: Simplify 0 into 0 10.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.066 * [backup-simplify]: Simplify 0 into 0 10.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.068 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.070 * [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 10.070 * [backup-simplify]: Simplify 0 into 0 10.070 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 10.070 * * * * [progress]: [ 2 / 2 ] generating series at (2) 10.070 * [backup-simplify]: Simplify (+ (pow x 2) (* y (* 3 y))) into (+ (pow x 2) (* 3 (pow y 2))) 10.070 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 10.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 10.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.070 * [taylor]: Taking taylor expansion of x in y 10.070 * [backup-simplify]: Simplify x into x 10.070 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 10.070 * [taylor]: Taking taylor expansion of 3 in y 10.070 * [backup-simplify]: Simplify 3 into 3 10.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.071 * [taylor]: Taking taylor expansion of y in y 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 1 into 1 10.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 10.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.071 * [taylor]: Taking taylor expansion of x in x 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 1 into 1 10.071 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 10.071 * [taylor]: Taking taylor expansion of 3 in x 10.071 * [backup-simplify]: Simplify 3 into 3 10.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.071 * [taylor]: Taking taylor expansion of y in x 10.071 * [backup-simplify]: Simplify y into y 10.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 10.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.071 * [taylor]: Taking taylor expansion of x in x 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 1 into 1 10.071 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 10.071 * [taylor]: Taking taylor expansion of 3 in x 10.071 * [backup-simplify]: Simplify 3 into 3 10.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.071 * [taylor]: Taking taylor expansion of y in x 10.071 * [backup-simplify]: Simplify y into y 10.071 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.071 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 10.071 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 10.071 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 10.071 * [taylor]: Taking taylor expansion of 3 in y 10.071 * [backup-simplify]: Simplify 3 into 3 10.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.071 * [taylor]: Taking taylor expansion of y in y 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 1 into 1 10.071 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.072 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 10.072 * [backup-simplify]: Simplify (+ 0 0) into 0 10.072 * [taylor]: Taking taylor expansion of 0 in y 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify (* 1 1) into 1 10.073 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 10.073 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 10.073 * [backup-simplify]: Simplify (+ 1 0) into 1 10.073 * [taylor]: Taking taylor expansion of 1 in y 10.073 * [backup-simplify]: Simplify 1 into 1 10.073 * [backup-simplify]: Simplify 1 into 1 10.073 * [backup-simplify]: Simplify 0 into 0 10.074 * [backup-simplify]: Simplify (* 1 1) into 1 10.074 * [backup-simplify]: Simplify (* 3 1) into 3 10.074 * [backup-simplify]: Simplify 3 into 3 10.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 10.076 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 10.076 * [backup-simplify]: Simplify (+ 0 0) into 0 10.076 * [taylor]: Taking taylor expansion of 0 in y 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.078 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 10.078 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.079 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 10.081 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 10.081 * [backup-simplify]: Simplify (+ 0 0) into 0 10.081 * [taylor]: Taking taylor expansion of 0 in y 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify 0 into 0 10.082 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 10.082 * [backup-simplify]: Simplify (+ (pow (/ 1 x) 2) (* (/ 1 y) (* 3 (/ 1 y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 10.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 10.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 10.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 10.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.082 * [taylor]: Taking taylor expansion of x in y 10.082 * [backup-simplify]: Simplify x into x 10.082 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.082 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 10.082 * [taylor]: Taking taylor expansion of 3 in y 10.082 * [backup-simplify]: Simplify 3 into 3 10.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.083 * [taylor]: Taking taylor expansion of y in y 10.083 * [backup-simplify]: Simplify 0 into 0 10.083 * [backup-simplify]: Simplify 1 into 1 10.083 * [backup-simplify]: Simplify (* 1 1) into 1 10.083 * [backup-simplify]: Simplify (/ 1 1) into 1 10.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 10.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.083 * [taylor]: Taking taylor expansion of x in x 10.083 * [backup-simplify]: Simplify 0 into 0 10.083 * [backup-simplify]: Simplify 1 into 1 10.083 * [backup-simplify]: Simplify (* 1 1) into 1 10.084 * [backup-simplify]: Simplify (/ 1 1) into 1 10.084 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 10.084 * [taylor]: Taking taylor expansion of 3 in x 10.084 * [backup-simplify]: Simplify 3 into 3 10.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.084 * [taylor]: Taking taylor expansion of y in x 10.084 * [backup-simplify]: Simplify y into y 10.084 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.084 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 10.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.084 * [taylor]: Taking taylor expansion of x in x 10.084 * [backup-simplify]: Simplify 0 into 0 10.084 * [backup-simplify]: Simplify 1 into 1 10.084 * [backup-simplify]: Simplify (* 1 1) into 1 10.084 * [backup-simplify]: Simplify (/ 1 1) into 1 10.084 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 10.085 * [taylor]: Taking taylor expansion of 3 in x 10.085 * [backup-simplify]: Simplify 3 into 3 10.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.085 * [taylor]: Taking taylor expansion of y in x 10.085 * [backup-simplify]: Simplify y into y 10.085 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.085 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.085 * [backup-simplify]: Simplify (+ 1 0) into 1 10.085 * [taylor]: Taking taylor expansion of 1 in y 10.085 * [backup-simplify]: Simplify 1 into 1 10.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.086 * [backup-simplify]: Simplify (+ 0 0) into 0 10.086 * [taylor]: Taking taylor expansion of 0 in y 10.086 * [backup-simplify]: Simplify 0 into 0 10.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.087 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 10.087 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 10.087 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 10.087 * [taylor]: Taking taylor expansion of 3 in y 10.087 * [backup-simplify]: Simplify 3 into 3 10.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.087 * [taylor]: Taking taylor expansion of y in y 10.087 * [backup-simplify]: Simplify 0 into 0 10.088 * [backup-simplify]: Simplify 1 into 1 10.088 * [backup-simplify]: Simplify (* 1 1) into 1 10.088 * [backup-simplify]: Simplify (/ 1 1) into 1 10.088 * [backup-simplify]: Simplify (* 3 1) into 3 10.088 * [backup-simplify]: Simplify 3 into 3 10.088 * [backup-simplify]: Simplify 1 into 1 10.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.089 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 10.090 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 10.090 * [backup-simplify]: Simplify (+ 0 0) into 0 10.090 * [taylor]: Taking taylor expansion of 0 in y 10.090 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.091 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 10.091 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.093 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 10.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 10.094 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 10.094 * [backup-simplify]: Simplify (+ 0 0) into 0 10.094 * [taylor]: Taking taylor expansion of 0 in y 10.094 * [backup-simplify]: Simplify 0 into 0 10.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.096 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 10.096 * [backup-simplify]: Simplify 0 into 0 10.096 * [backup-simplify]: Simplify 0 into 0 10.096 * [backup-simplify]: Simplify 0 into 0 10.096 * [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))) 10.096 * [backup-simplify]: Simplify (+ (pow (/ 1 (- x)) 2) (* (/ 1 (- y)) (* 3 (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 10.096 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 10.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 10.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 10.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.096 * [taylor]: Taking taylor expansion of x in y 10.096 * [backup-simplify]: Simplify x into x 10.096 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.096 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.096 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 10.096 * [taylor]: Taking taylor expansion of 3 in y 10.096 * [backup-simplify]: Simplify 3 into 3 10.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.097 * [taylor]: Taking taylor expansion of y in y 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 1 into 1 10.097 * [backup-simplify]: Simplify (* 1 1) into 1 10.097 * [backup-simplify]: Simplify (/ 1 1) into 1 10.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 10.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.097 * [taylor]: Taking taylor expansion of x in x 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 1 into 1 10.097 * [backup-simplify]: Simplify (* 1 1) into 1 10.098 * [backup-simplify]: Simplify (/ 1 1) into 1 10.098 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 10.098 * [taylor]: Taking taylor expansion of 3 in x 10.098 * [backup-simplify]: Simplify 3 into 3 10.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.098 * [taylor]: Taking taylor expansion of y in x 10.098 * [backup-simplify]: Simplify y into y 10.098 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.098 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 10.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.098 * [taylor]: Taking taylor expansion of x in x 10.098 * [backup-simplify]: Simplify 0 into 0 10.098 * [backup-simplify]: Simplify 1 into 1 10.098 * [backup-simplify]: Simplify (* 1 1) into 1 10.099 * [backup-simplify]: Simplify (/ 1 1) into 1 10.099 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 10.099 * [taylor]: Taking taylor expansion of 3 in x 10.099 * [backup-simplify]: Simplify 3 into 3 10.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.099 * [taylor]: Taking taylor expansion of y in x 10.099 * [backup-simplify]: Simplify y into y 10.099 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.105 * [backup-simplify]: Simplify (+ 1 0) into 1 10.105 * [taylor]: Taking taylor expansion of 1 in y 10.105 * [backup-simplify]: Simplify 1 into 1 10.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.107 * [backup-simplify]: Simplify (+ 0 0) into 0 10.107 * [taylor]: Taking taylor expansion of 0 in y 10.107 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.109 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 10.109 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 10.109 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 10.109 * [taylor]: Taking taylor expansion of 3 in y 10.109 * [backup-simplify]: Simplify 3 into 3 10.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.109 * [taylor]: Taking taylor expansion of y in y 10.109 * [backup-simplify]: Simplify 0 into 0 10.109 * [backup-simplify]: Simplify 1 into 1 10.109 * [backup-simplify]: Simplify (* 1 1) into 1 10.110 * [backup-simplify]: Simplify (/ 1 1) into 1 10.110 * [backup-simplify]: Simplify (* 3 1) into 3 10.110 * [backup-simplify]: Simplify 3 into 3 10.110 * [backup-simplify]: Simplify 1 into 1 10.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.112 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 10.113 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 10.113 * [backup-simplify]: Simplify (+ 0 0) into 0 10.113 * [taylor]: Taking taylor expansion of 0 in y 10.113 * [backup-simplify]: Simplify 0 into 0 10.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.115 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 10.115 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 10.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 10.119 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 10.119 * [backup-simplify]: Simplify (+ 0 0) into 0 10.119 * [taylor]: Taking taylor expansion of 0 in y 10.119 * [backup-simplify]: Simplify 0 into 0 10.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.122 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 10.122 * [backup-simplify]: Simplify 0 into 0 10.122 * [backup-simplify]: Simplify 0 into 0 10.122 * [backup-simplify]: Simplify 0 into 0 10.123 * [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))) 10.123 * * * [progress]: simplifying candidates 10.124 * [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))) 10.125 * * [simplify]: Extracting # 0 : cost 0 10.125 * * [simplify]: Extracting # 1 : cost 0 10.125 * * [simplify]: Extracting # 2 : cost 0 10.125 * * [simplify]: Extracting # 3 : cost 0 10.125 * * [simplify]: Extracting # 4 : cost 0 10.125 * * [simplify]: Extracting # 5 : cost 0 10.126 * * [simplify]: Extracting # 6 : cost 0 10.126 * * [simplify]: iteration 0 : 56 enodes (cost 362 ) 10.142 * * [simplify]: Extracting # 0 : cost 0 10.142 * * [simplify]: Extracting # 1 : cost 0 10.142 * * [simplify]: Extracting # 2 : cost 0 10.142 * * [simplify]: Extracting # 3 : cost 0 10.142 * * [simplify]: Extracting # 4 : cost 0 10.142 * * [simplify]: iteration 1 : 155 enodes (cost 326 ) 10.252 * * [simplify]: Extracting # 0 : cost 0 10.252 * * [simplify]: Extracting # 1 : cost 0 10.253 * * [simplify]: Extracting # 2 : cost 0 10.254 * * [simplify]: Extracting # 3 : cost 0 10.255 * * [simplify]: Extracting # 4 : cost 0 10.255 * * [simplify]: iteration 2 : 477 enodes (cost 294 ) 10.541 * * [simplify]: Extracting # 0 : cost 0 10.543 * * [simplify]: Extracting # 1 : cost 0 10.544 * * [simplify]: Extracting # 2 : cost 0 10.545 * * [simplify]: Extracting # 3 : cost 0 10.552 * * [simplify]: Extracting # 4 : cost 0 10.553 * * [simplify]: Extracting # 5 : cost 0 10.555 * * [simplify]: iteration 3 : 1323 enodes (cost 282 ) 12.087 * * [simplify]: Extracting # 0 : cost 0 12.092 * * [simplify]: Extracting # 1 : cost 0 12.095 * * [simplify]: Extracting # 2 : cost 0 12.099 * * [simplify]: Extracting # 3 : cost 0 12.103 * * [simplify]: Extracting # 4 : cost 0 12.106 * * [simplify]: Extracting # 5 : cost 0 12.112 * * [simplify]: iteration 4 : 3717 enodes (cost 280 ) 13.691 * * [simplify]: Extracting # 0 : cost 0 13.697 * * [simplify]: Extracting # 1 : cost 0 13.706 * * [simplify]: Extracting # 2 : cost 0 13.714 * * [simplify]: Extracting # 3 : cost 0 13.723 * * [simplify]: Extracting # 4 : cost 0 13.729 * * [simplify]: iteration done: 5002 enodes (cost 280 ) 13.729 * [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))) 13.730 * * * [progress]: adding candidates to table 13.817 * [progress]: [Phase 3 of 3] Extracting. 13.817 * * [regime]: Finding splitpoints for: (# # # # # # #) 13.820 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 13.820 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 13.848 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 13.875 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 13.904 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 13.939 * * * [regime]: Found split indices: #