50.148 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: Extracting # 3 : cost 0 0.034 * * [simplify]: Extracting # 4 : cost 0 0.034 * * [simplify]: Extracting # 5 : cost 0 0.034 * * [simplify]: iteration 0 : 9 enodes (cost 19 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: Extracting # 1 : cost 0 0.036 * * [simplify]: Extracting # 2 : cost 0 0.036 * * [simplify]: iteration 1 : 17 enodes (cost 19 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: Extracting # 1 : cost 0 0.039 * * [simplify]: Extracting # 2 : cost 0 0.039 * * [simplify]: iteration 2 : 35 enodes (cost 19 ) 0.047 * * [simplify]: Extracting # 0 : cost 0 0.047 * * [simplify]: Extracting # 1 : cost 0 0.047 * * [simplify]: Extracting # 2 : cost 0 0.047 * * [simplify]: iteration 3 : 67 enodes (cost 19 ) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.063 * * [simplify]: Extracting # 1 : cost 0 0.063 * * [simplify]: Extracting # 2 : cost 0 0.063 * * [simplify]: iteration 4 : 111 enodes (cost 19 ) 0.135 * * [simplify]: Extracting # 0 : cost 0 0.136 * * [simplify]: Extracting # 1 : cost 0 0.136 * * [simplify]: Extracting # 2 : cost 0 0.136 * * [simplify]: iteration 5 : 158 enodes (cost 19 ) 0.221 * * [simplify]: Extracting # 0 : cost 0 0.222 * * [simplify]: Extracting # 1 : cost 0 0.222 * * [simplify]: Extracting # 2 : cost 0 0.222 * * [simplify]: iteration 6 : 173 enodes (cost 19 ) 0.307 * * [simplify]: Extracting # 0 : cost 0 0.307 * * [simplify]: iteration 7 : 174 enodes (cost 19 ) 0.393 * * [simplify]: Extracting # 0 : cost 0 0.393 * * [simplify]: iteration done: 174 enodes (cost 19 ) 0.394 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.394 * * [progress]: iteration 1 / 4 0.394 * * * [progress]: picking best candidate 0.397 * * * * [pick]: Picked # 0.397 * * * [progress]: localizing error 0.413 * * * [progress]: generating rewritten candidates 0.413 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.463 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.480 * * * [progress]: generating series expansions 0.480 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.480 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 0.480 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.481 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.481 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [backup-simplify]: Simplify x into x 0.481 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of 4.0 in y 0.481 * [backup-simplify]: Simplify 4.0 into 4.0 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [backup-simplify]: Simplify x into x 0.481 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of 4.0 in y 0.481 * [backup-simplify]: Simplify 4.0 into 4.0 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.481 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.482 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.482 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.482 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.482 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.482 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.482 * [taylor]: Taking taylor expansion of 4.0 in x 0.482 * [backup-simplify]: Simplify 4.0 into 4.0 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [backup-simplify]: Simplify y into y 0.482 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.482 * [taylor]: Taking taylor expansion of 4.0 in x 0.482 * [backup-simplify]: Simplify 4.0 into 4.0 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [backup-simplify]: Simplify y into y 0.483 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.483 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.483 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.483 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.483 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.483 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.483 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.484 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.484 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.484 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of 4.0 in x 0.484 * [backup-simplify]: Simplify 4.0 into 4.0 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [backup-simplify]: Simplify y into y 0.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of 4.0 in x 0.484 * [backup-simplify]: Simplify 4.0 into 4.0 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [backup-simplify]: Simplify y into y 0.484 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.484 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.485 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.485 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.485 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.485 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.485 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.486 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.486 * [taylor]: Taking taylor expansion of -1.0 in y 0.486 * [backup-simplify]: Simplify -1.0 into -1.0 0.486 * [backup-simplify]: Simplify -1.0 into -1.0 0.486 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.487 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.488 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.493 * [backup-simplify]: Simplify (+ 1 0) into 1 0.494 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of 0.5 in y 0.494 * [backup-simplify]: Simplify 0.5 into 0.5 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 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.503 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify -1.0 into -1.0 0.508 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.508 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.508 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.508 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [backup-simplify]: Simplify x into x 0.508 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.508 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.509 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.509 * [taylor]: Taking taylor expansion of 4.0 in y 0.509 * [backup-simplify]: Simplify 4.0 into 4.0 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.510 * [backup-simplify]: Simplify x into x 0.510 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.510 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.510 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of 4.0 in y 0.510 * [backup-simplify]: Simplify 4.0 into 4.0 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.512 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.513 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.513 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.513 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.514 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.514 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.514 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.515 * [taylor]: Taking taylor expansion of 4.0 in x 0.515 * [backup-simplify]: Simplify 4.0 into 4.0 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 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 0.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.516 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.517 * [taylor]: Taking taylor expansion of 4.0 in x 0.517 * [backup-simplify]: Simplify 4.0 into 4.0 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [backup-simplify]: Simplify y into y 0.517 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.517 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.517 * [backup-simplify]: Simplify (+ 1 0) into 1 0.518 * [backup-simplify]: Simplify (+ 1 0) into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.518 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.519 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.519 * [taylor]: Taking taylor expansion of 4.0 in x 0.519 * [backup-simplify]: Simplify 4.0 into 4.0 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.519 * [backup-simplify]: Simplify y into y 0.520 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.520 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.521 * [taylor]: Taking taylor expansion of 4.0 in x 0.521 * [backup-simplify]: Simplify 4.0 into 4.0 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [backup-simplify]: Simplify y into y 0.521 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.521 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.521 * [backup-simplify]: Simplify (+ 1 0) into 1 0.522 * [backup-simplify]: Simplify (+ 1 0) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of 1 in y 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.527 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.528 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.529 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.530 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.530 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.530 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of 8.0 in y 0.530 * [backup-simplify]: Simplify 8.0 into 8.0 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.535 * [backup-simplify]: Simplify (- 0) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.537 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.539 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.539 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.539 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [backup-simplify]: Simplify x into x 0.539 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.539 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.539 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.539 * [taylor]: Taking taylor expansion of 4.0 in y 0.539 * [backup-simplify]: Simplify 4.0 into 4.0 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [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 x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [backup-simplify]: Simplify x into x 0.540 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.540 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.540 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.540 * [taylor]: Taking taylor expansion of 4.0 in y 0.540 * [backup-simplify]: Simplify 4.0 into 4.0 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.542 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.542 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.542 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.543 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.543 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.543 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.543 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.544 * [taylor]: Taking taylor expansion of 4.0 in x 0.544 * [backup-simplify]: Simplify 4.0 into 4.0 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [backup-simplify]: Simplify y into y 0.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.544 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.545 * [taylor]: Taking taylor expansion of 4.0 in x 0.545 * [backup-simplify]: Simplify 4.0 into 4.0 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [backup-simplify]: Simplify y into y 0.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.545 * [backup-simplify]: Simplify (+ 1 0) into 1 0.546 * [backup-simplify]: Simplify (+ 1 0) into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.546 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.546 * [taylor]: Taking taylor expansion of 4.0 in x 0.546 * [backup-simplify]: Simplify 4.0 into 4.0 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [backup-simplify]: Simplify y into y 0.547 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.547 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.547 * [taylor]: Taking taylor expansion of 4.0 in x 0.547 * [backup-simplify]: Simplify 4.0 into 4.0 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [backup-simplify]: Simplify y into y 0.547 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.548 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.548 * [backup-simplify]: Simplify (+ 1 0) into 1 0.548 * [backup-simplify]: Simplify (+ 1 0) into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [taylor]: Taking taylor expansion of 1 in y 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.553 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.553 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.555 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.556 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.556 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.556 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.556 * [taylor]: Taking taylor expansion of 8.0 in y 0.556 * [backup-simplify]: Simplify 8.0 into 8.0 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* 1 1) into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.561 * [backup-simplify]: Simplify (- 0) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.571 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.571 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.571 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [backup-simplify]: Simplify x into x 0.572 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of 4.0 in y 0.572 * [backup-simplify]: Simplify 4.0 into 4.0 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.572 * [taylor]: Taking taylor expansion of 4.0 in x 0.572 * [backup-simplify]: Simplify 4.0 into 4.0 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [backup-simplify]: Simplify y into y 0.572 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.572 * [taylor]: Taking taylor expansion of 4.0 in x 0.572 * [backup-simplify]: Simplify 4.0 into 4.0 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [backup-simplify]: Simplify y into y 0.572 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.573 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.573 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.573 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.573 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.573 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.573 * [taylor]: Taking taylor expansion of 4.0 in y 0.573 * [backup-simplify]: Simplify 4.0 into 4.0 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.574 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.580 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.581 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.583 * [backup-simplify]: Simplify (- 0) into 0 0.583 * [backup-simplify]: Simplify (+ 1 0) into 1 0.583 * [taylor]: Taking taylor expansion of 1 in y 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (* 1 1) into 1 0.584 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.584 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.584 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.586 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.590 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.590 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.592 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [taylor]: Taking taylor expansion of 0 in y 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.595 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.595 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.595 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [backup-simplify]: Simplify x into x 0.595 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.596 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.596 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.596 * [taylor]: Taking taylor expansion of 4.0 in y 0.596 * [backup-simplify]: Simplify 4.0 into 4.0 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (* 1 1) into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (* 1 1) into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.597 * [taylor]: Taking taylor expansion of 4.0 in x 0.597 * [backup-simplify]: Simplify 4.0 into 4.0 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.598 * [backup-simplify]: Simplify y into y 0.598 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.598 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.598 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (/ 1 1) into 1 0.599 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.599 * [taylor]: Taking taylor expansion of 4.0 in x 0.599 * [backup-simplify]: Simplify 4.0 into 4.0 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [backup-simplify]: Simplify y into y 0.599 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.599 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.599 * [backup-simplify]: Simplify (+ 1 0) into 1 0.599 * [taylor]: Taking taylor expansion of 1 in y 0.599 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.604 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.604 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.604 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.604 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.604 * [taylor]: Taking taylor expansion of 4.0 in y 0.604 * [backup-simplify]: Simplify 4.0 into 4.0 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.605 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.606 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.606 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.606 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.609 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.617 * [backup-simplify]: Simplify (- 0) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.620 * [backup-simplify]: Simplify (- 0) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.621 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.621 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.621 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [backup-simplify]: Simplify x into x 0.622 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.622 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.622 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.622 * [taylor]: Taking taylor expansion of 4.0 in y 0.622 * [backup-simplify]: Simplify 4.0 into 4.0 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.622 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (* 1 1) into 1 0.623 * [backup-simplify]: Simplify (/ 1 1) into 1 0.623 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (* 1 1) into 1 0.623 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.624 * [taylor]: Taking taylor expansion of 4.0 in x 0.624 * [backup-simplify]: Simplify 4.0 into 4.0 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [backup-simplify]: Simplify y into y 0.624 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.624 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (* 1 1) into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.625 * [taylor]: Taking taylor expansion of 4.0 in x 0.625 * [backup-simplify]: Simplify 4.0 into 4.0 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [backup-simplify]: Simplify y into y 0.625 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.625 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.626 * [backup-simplify]: Simplify (+ 1 0) into 1 0.626 * [taylor]: Taking taylor expansion of 1 in y 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.630 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.630 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.630 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.630 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.630 * [taylor]: Taking taylor expansion of 4.0 in y 0.630 * [backup-simplify]: Simplify 4.0 into 4.0 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.632 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.632 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.632 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.636 * [backup-simplify]: Simplify (- 0) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.639 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.641 * [backup-simplify]: Simplify (- 0) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.642 * * * [progress]: simplifying candidates 0.643 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) 0.644 * * [simplify]: Extracting # 0 : cost 0 0.644 * * [simplify]: Extracting # 1 : cost 0 0.645 * * [simplify]: Extracting # 2 : cost 0 0.645 * * [simplify]: Extracting # 3 : cost 0 0.645 * * [simplify]: Extracting # 4 : cost 0 0.645 * * [simplify]: Extracting # 5 : cost 0 0.645 * * [simplify]: Extracting # 6 : cost 0 0.645 * * [simplify]: Extracting # 7 : cost 0 0.645 * * [simplify]: iteration 0 : 82 enodes (cost 1196 ) 0.665 * * [simplify]: Extracting # 0 : cost 0 0.665 * * [simplify]: Extracting # 1 : cost 0 0.665 * * [simplify]: Extracting # 2 : cost 0 0.666 * * [simplify]: Extracting # 3 : cost 0 0.666 * * [simplify]: Extracting # 4 : cost 0 0.666 * * [simplify]: iteration 1 : 220 enodes (cost 1174 ) 0.795 * * [simplify]: Extracting # 0 : cost 0 0.797 * * [simplify]: Extracting # 1 : cost 0 0.798 * * [simplify]: Extracting # 2 : cost 0 0.800 * * [simplify]: Extracting # 3 : cost 0 0.801 * * [simplify]: Extracting # 4 : cost 0 0.809 * * [simplify]: iteration 2 : 738 enodes (cost 1060 ) 1.401 * * [simplify]: Extracting # 0 : cost 0 1.408 * * [simplify]: Extracting # 1 : cost 0 1.414 * * [simplify]: Extracting # 2 : cost 0 1.419 * * [simplify]: Extracting # 3 : cost 0 1.432 * * [simplify]: Extracting # 4 : cost 0 1.437 * * [simplify]: iteration 3 : 2712 enodes (cost 1056 ) 3.524 * * [simplify]: Extracting # 0 : cost 0 3.530 * * [simplify]: Extracting # 1 : cost 0 3.540 * * [simplify]: Extracting # 2 : cost 0 3.549 * * [simplify]: Extracting # 3 : cost 0 3.558 * * [simplify]: Extracting # 4 : cost 0 3.566 * * [simplify]: iteration done: 5000 enodes (cost 1042 ) 3.567 * [simplify]: Simplified to: (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 6) (pow (* (* y 4.0) y) 3))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (* (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4)) (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4)) (- (* 4.0 (pow y 2))) (- (pow x 4) (* (* 4.0 4.0) (pow y 4))) (+ (* x x) (* (* y 4.0) y)) (- (* 4.0 (pow y 2))) -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) 3.568 * * * [progress]: adding candidates to table 3.743 * * [progress]: iteration 2 / 4 3.743 * * * [progress]: picking best candidate 3.749 * * * * [pick]: Picked # 3.749 * * * [progress]: localizing error 3.759 * * * [progress]: generating rewritten candidates 3.760 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 3.790 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 3.832 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.949 * * * [progress]: generating series expansions 3.949 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 3.949 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) 3.949 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 3.949 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.949 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.949 * [taylor]: Taking taylor expansion of x in y 3.949 * [backup-simplify]: Simplify x into x 3.949 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.949 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.950 * [taylor]: Taking taylor expansion of x in y 3.950 * [backup-simplify]: Simplify x into x 3.950 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.950 * [taylor]: Taking taylor expansion of 4.0 in y 3.950 * [backup-simplify]: Simplify 4.0 into 4.0 3.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.950 * [taylor]: Taking taylor expansion of y in y 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.950 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.950 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.950 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.950 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.950 * [taylor]: Taking taylor expansion of x in x 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.951 * [taylor]: Taking taylor expansion of x in x 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.951 * [taylor]: Taking taylor expansion of 4.0 in x 3.951 * [backup-simplify]: Simplify 4.0 into 4.0 3.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.951 * [taylor]: Taking taylor expansion of y in x 3.951 * [backup-simplify]: Simplify y into y 3.952 * [backup-simplify]: Simplify (* 1 1) into 1 3.952 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.952 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.952 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.952 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 3.952 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.953 * [taylor]: Taking taylor expansion of x in x 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 1 into 1 3.953 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.953 * [taylor]: Taking taylor expansion of x in x 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 1 into 1 3.953 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.953 * [taylor]: Taking taylor expansion of 4.0 in x 3.953 * [backup-simplify]: Simplify 4.0 into 4.0 3.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.953 * [taylor]: Taking taylor expansion of y in x 3.953 * [backup-simplify]: Simplify y into y 3.953 * [backup-simplify]: Simplify (* 1 1) into 1 3.954 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.954 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.954 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.954 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 3.954 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 3.954 * [taylor]: Taking taylor expansion of 0.25 in y 3.954 * [backup-simplify]: Simplify 0.25 into 0.25 3.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.954 * [taylor]: Taking taylor expansion of y in y 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.955 * [backup-simplify]: Simplify (* 1 1) into 1 3.955 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.959 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.960 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.960 * [backup-simplify]: Simplify (+ 0 0) into 0 3.961 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 3.961 * [taylor]: Taking taylor expansion of 0 in y 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.963 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.964 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.965 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.966 * [backup-simplify]: Simplify (+ 1 0) into 1 3.967 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 3.967 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 3.967 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 3.967 * [taylor]: Taking taylor expansion of 0.0625 in y 3.967 * [backup-simplify]: Simplify 0.0625 into 0.0625 3.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.967 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.967 * [taylor]: Taking taylor expansion of y in y 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify 1 into 1 3.967 * [backup-simplify]: Simplify (* 1 1) into 1 3.968 * [backup-simplify]: Simplify (* 1 1) into 1 3.968 * [backup-simplify]: Simplify (/ 1 1) into 1 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.980 * [backup-simplify]: Simplify (- 0) into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 3.983 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 3.983 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.983 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.983 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.983 * [taylor]: Taking taylor expansion of x in y 3.983 * [backup-simplify]: Simplify x into x 3.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.983 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.983 * [taylor]: Taking taylor expansion of x in y 3.983 * [backup-simplify]: Simplify x into x 3.983 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.983 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.983 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.983 * [taylor]: Taking taylor expansion of 4.0 in y 3.983 * [backup-simplify]: Simplify 4.0 into 4.0 3.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.984 * [taylor]: Taking taylor expansion of y in y 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [backup-simplify]: Simplify (* 1 1) into 1 3.984 * [backup-simplify]: Simplify (/ 1 1) into 1 3.984 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.985 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.985 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.985 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 3.986 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 3.986 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.986 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.986 * [taylor]: Taking taylor expansion of x in x 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.986 * [taylor]: Taking taylor expansion of x in x 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [backup-simplify]: Simplify (* 1 1) into 1 3.987 * [backup-simplify]: Simplify (/ 1 1) into 1 3.987 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.987 * [taylor]: Taking taylor expansion of 4.0 in x 3.987 * [backup-simplify]: Simplify 4.0 into 4.0 3.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.987 * [taylor]: Taking taylor expansion of y in x 3.987 * [backup-simplify]: Simplify y into y 3.987 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.987 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.988 * [backup-simplify]: Simplify (* 1 1) into 1 3.988 * [backup-simplify]: Simplify (+ 1 0) into 1 3.988 * [backup-simplify]: Simplify (* 1 1) into 1 3.989 * [backup-simplify]: Simplify (/ 1 1) into 1 3.989 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.989 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.989 * [taylor]: Taking taylor expansion of x in x 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.989 * [taylor]: Taking taylor expansion of x in x 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [backup-simplify]: Simplify (* 1 1) into 1 3.990 * [backup-simplify]: Simplify (/ 1 1) into 1 3.990 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.990 * [taylor]: Taking taylor expansion of 4.0 in x 3.990 * [backup-simplify]: Simplify 4.0 into 4.0 3.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.990 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.990 * [taylor]: Taking taylor expansion of y in x 3.990 * [backup-simplify]: Simplify y into y 3.990 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.990 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.991 * [backup-simplify]: Simplify (* 1 1) into 1 3.991 * [backup-simplify]: Simplify (+ 1 0) into 1 3.991 * [backup-simplify]: Simplify (* 1 1) into 1 3.992 * [backup-simplify]: Simplify (/ 1 1) into 1 3.992 * [taylor]: Taking taylor expansion of 1 in y 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.996 * [taylor]: Taking taylor expansion of 0 in y 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.998 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.998 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.000 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.001 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.001 * [taylor]: Taking taylor expansion of 4.0 in y 4.001 * [backup-simplify]: Simplify 4.0 into 4.0 4.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.001 * [taylor]: Taking taylor expansion of y in y 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (* 1 1) into 1 4.001 * [backup-simplify]: Simplify (/ 1 1) into 1 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.007 * [backup-simplify]: Simplify (- 0) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 4.007 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 4.007 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 4.007 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 4.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.007 * [taylor]: Taking taylor expansion of x in y 4.007 * [backup-simplify]: Simplify x into x 4.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.007 * [taylor]: Taking taylor expansion of x in y 4.007 * [backup-simplify]: Simplify x into x 4.007 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.008 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.008 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.008 * [taylor]: Taking taylor expansion of 4.0 in y 4.008 * [backup-simplify]: Simplify 4.0 into 4.0 4.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.008 * [taylor]: Taking taylor expansion of y in y 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (* 1 1) into 1 4.008 * [backup-simplify]: Simplify (/ 1 1) into 1 4.008 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.009 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.009 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.009 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 4.009 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 4.009 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 4.009 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.009 * [taylor]: Taking taylor expansion of x in x 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.009 * [taylor]: Taking taylor expansion of x in x 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (* 1 1) into 1 4.010 * [backup-simplify]: Simplify (/ 1 1) into 1 4.010 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.010 * [taylor]: Taking taylor expansion of 4.0 in x 4.010 * [backup-simplify]: Simplify 4.0 into 4.0 4.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.010 * [taylor]: Taking taylor expansion of y in x 4.010 * [backup-simplify]: Simplify y into y 4.010 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.010 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.010 * [backup-simplify]: Simplify (* 1 1) into 1 4.011 * [backup-simplify]: Simplify (+ 1 0) into 1 4.011 * [backup-simplify]: Simplify (* 1 1) into 1 4.011 * [backup-simplify]: Simplify (/ 1 1) into 1 4.011 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 4.011 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.011 * [taylor]: Taking taylor expansion of x in x 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.011 * [taylor]: Taking taylor expansion of x in x 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (* 1 1) into 1 4.012 * [backup-simplify]: Simplify (/ 1 1) into 1 4.012 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.012 * [taylor]: Taking taylor expansion of 4.0 in x 4.012 * [backup-simplify]: Simplify 4.0 into 4.0 4.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.012 * [taylor]: Taking taylor expansion of y in x 4.012 * [backup-simplify]: Simplify y into y 4.012 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.012 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.013 * [backup-simplify]: Simplify (+ 1 0) into 1 4.013 * [backup-simplify]: Simplify (* 1 1) into 1 4.013 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [taylor]: Taking taylor expansion of 1 in y 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.016 * [taylor]: Taking taylor expansion of 0 in y 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.017 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.018 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.019 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.019 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.019 * [taylor]: Taking taylor expansion of 4.0 in y 4.019 * [backup-simplify]: Simplify 4.0 into 4.0 4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.019 * [taylor]: Taking taylor expansion of y in y 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (/ 1 1) into 1 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.026 * [backup-simplify]: Simplify (- 0) into 0 4.026 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.027 * [backup-simplify]: Simplify (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) into (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) 4.027 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 4.027 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 4.027 * [taylor]: Taking taylor expansion of 4.0 in x 4.027 * [backup-simplify]: Simplify 4.0 into 4.0 4.027 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 4.027 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.027 * [taylor]: Taking taylor expansion of y in x 4.027 * [backup-simplify]: Simplify y into y 4.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 4.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.027 * [taylor]: Taking taylor expansion of x in x 4.027 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 1 into 1 4.028 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.028 * [taylor]: Taking taylor expansion of 4.0 in x 4.028 * [backup-simplify]: Simplify 4.0 into 4.0 4.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.028 * [taylor]: Taking taylor expansion of y in x 4.028 * [backup-simplify]: Simplify y into y 4.028 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.028 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.028 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.028 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 4.029 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 4.029 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 4.029 * [taylor]: Taking taylor expansion of 4.0 in y 4.029 * [backup-simplify]: Simplify 4.0 into 4.0 4.029 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 4.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.029 * [taylor]: Taking taylor expansion of y in y 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 4.029 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.029 * [taylor]: Taking taylor expansion of x in y 4.029 * [backup-simplify]: Simplify x into x 4.029 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.029 * [taylor]: Taking taylor expansion of 4.0 in y 4.029 * [backup-simplify]: Simplify 4.0 into 4.0 4.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.029 * [taylor]: Taking taylor expansion of y in y 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (* 1 1) into 1 4.030 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.030 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.030 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.030 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 4.030 * [taylor]: Taking taylor expansion of 4.0 in y 4.030 * [backup-simplify]: Simplify 4.0 into 4.0 4.030 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 4.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.030 * [taylor]: Taking taylor expansion of y in y 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 4.030 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.030 * [taylor]: Taking taylor expansion of x in y 4.030 * [backup-simplify]: Simplify x into x 4.030 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.030 * [taylor]: Taking taylor expansion of 4.0 in y 4.030 * [backup-simplify]: Simplify 4.0 into 4.0 4.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.030 * [taylor]: Taking taylor expansion of y in y 4.030 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (* 1 1) into 1 4.031 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.031 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.031 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.031 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 4.032 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 4.032 * [taylor]: Taking taylor expansion of 4.0 in x 4.032 * [backup-simplify]: Simplify 4.0 into 4.0 4.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.032 * [taylor]: Taking taylor expansion of x in x 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [backup-simplify]: Simplify (* 1 1) into 1 4.033 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.037 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.037 * [backup-simplify]: Simplify (+ 0 0) into 0 4.037 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.038 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 4.038 * [taylor]: Taking taylor expansion of 0 in x 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.042 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.042 * [backup-simplify]: Simplify (* 1 1) into 1 4.042 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.043 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.043 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 4.0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 4.0 (/ 1 (pow x 4)))) 4.048 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 4.0 (/ 1 (pow x 4))))) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into (- (* 16.0 (/ 1 (pow x 4)))) 4.048 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 4.048 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 4.048 * [taylor]: Taking taylor expansion of 16.0 in x 4.048 * [backup-simplify]: Simplify 16.0 into 16.0 4.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.048 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.048 * [taylor]: Taking taylor expansion of x in x 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (* 1 1) into 1 4.049 * [backup-simplify]: Simplify (* 1 1) into 1 4.049 * [backup-simplify]: Simplify (/ 1 1) into 1 4.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.059 * [backup-simplify]: Simplify (- 0) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 4.062 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 4.062 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 4.063 * [taylor]: Taking taylor expansion of 4.0 in x 4.063 * [backup-simplify]: Simplify 4.0 into 4.0 4.063 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 4.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.063 * [taylor]: Taking taylor expansion of x in x 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (* 1 1) into 1 4.063 * [backup-simplify]: Simplify (/ 1 1) into 1 4.063 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.064 * [taylor]: Taking taylor expansion of 4.0 in x 4.064 * [backup-simplify]: Simplify 4.0 into 4.0 4.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.064 * [taylor]: Taking taylor expansion of y in x 4.064 * [backup-simplify]: Simplify y into y 4.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.064 * [taylor]: Taking taylor expansion of y in x 4.064 * [backup-simplify]: Simplify y into y 4.064 * [backup-simplify]: Simplify (+ 1 0) into 1 4.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.064 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.064 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 4.064 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 4.064 * [taylor]: Taking taylor expansion of 4.0 in y 4.064 * [backup-simplify]: Simplify 4.0 into 4.0 4.064 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 4.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.065 * [taylor]: Taking taylor expansion of x in y 4.065 * [backup-simplify]: Simplify x into x 4.065 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.065 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.065 * [taylor]: Taking taylor expansion of 4.0 in y 4.065 * [backup-simplify]: Simplify 4.0 into 4.0 4.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.065 * [taylor]: Taking taylor expansion of y in y 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.065 * [backup-simplify]: Simplify (* 1 1) into 1 4.065 * [backup-simplify]: Simplify (/ 1 1) into 1 4.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.065 * [taylor]: Taking taylor expansion of y in y 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.066 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.066 * [backup-simplify]: Simplify (* 1 1) into 1 4.066 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.067 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 4.067 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 4.067 * [taylor]: Taking taylor expansion of 4.0 in y 4.067 * [backup-simplify]: Simplify 4.0 into 4.0 4.067 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 4.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.067 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.067 * [taylor]: Taking taylor expansion of x in y 4.067 * [backup-simplify]: Simplify x into x 4.067 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.067 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.067 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.067 * [taylor]: Taking taylor expansion of 4.0 in y 4.067 * [backup-simplify]: Simplify 4.0 into 4.0 4.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.067 * [taylor]: Taking taylor expansion of y in y 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (* 1 1) into 1 4.068 * [backup-simplify]: Simplify (/ 1 1) into 1 4.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.068 * [taylor]: Taking taylor expansion of y in y 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.068 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.069 * [backup-simplify]: Simplify (* 1 1) into 1 4.069 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.069 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 4.069 * [taylor]: Taking taylor expansion of 1.0 in x 4.069 * [backup-simplify]: Simplify 1.0 into 1.0 4.069 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.071 * [backup-simplify]: Simplify (+ 0 0) into 0 4.071 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.072 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 4.072 * [taylor]: Taking taylor expansion of 0 in x 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.074 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 4.075 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 4.076 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 4.076 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 4.076 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 4.076 * [taylor]: Taking taylor expansion of 0.25 in x 4.076 * [backup-simplify]: Simplify 0.25 into 0.25 4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.076 * [taylor]: Taking taylor expansion of x in x 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (* 1 1) into 1 4.077 * [backup-simplify]: Simplify (/ 1 1) into 1 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.082 * [backup-simplify]: Simplify (- 0) into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 4.082 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 4.082 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 4.082 * [taylor]: Taking taylor expansion of 4.0 in x 4.082 * [backup-simplify]: Simplify 4.0 into 4.0 4.082 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 4.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (* 1 1) into 1 4.083 * [backup-simplify]: Simplify (/ 1 1) into 1 4.083 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.083 * [taylor]: Taking taylor expansion of 4.0 in x 4.083 * [backup-simplify]: Simplify 4.0 into 4.0 4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.083 * [taylor]: Taking taylor expansion of y in x 4.083 * [backup-simplify]: Simplify y into y 4.083 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.083 * [taylor]: Taking taylor expansion of y in x 4.083 * [backup-simplify]: Simplify y into y 4.084 * [backup-simplify]: Simplify (+ 1 0) into 1 4.084 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.084 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.084 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 4.084 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 4.084 * [taylor]: Taking taylor expansion of 4.0 in y 4.084 * [backup-simplify]: Simplify 4.0 into 4.0 4.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 4.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.084 * [taylor]: Taking taylor expansion of x in y 4.084 * [backup-simplify]: Simplify x into x 4.084 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.084 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.084 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.084 * [taylor]: Taking taylor expansion of 4.0 in y 4.084 * [backup-simplify]: Simplify 4.0 into 4.0 4.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.084 * [taylor]: Taking taylor expansion of y in y 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (* 1 1) into 1 4.085 * [backup-simplify]: Simplify (/ 1 1) into 1 4.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.085 * [taylor]: Taking taylor expansion of y in y 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.086 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.086 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.087 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 4.087 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 4.087 * [taylor]: Taking taylor expansion of 4.0 in y 4.087 * [backup-simplify]: Simplify 4.0 into 4.0 4.087 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 4.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.087 * [taylor]: Taking taylor expansion of x in y 4.087 * [backup-simplify]: Simplify x into x 4.087 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.087 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.087 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.087 * [taylor]: Taking taylor expansion of 4.0 in y 4.087 * [backup-simplify]: Simplify 4.0 into 4.0 4.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.087 * [taylor]: Taking taylor expansion of y in y 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [backup-simplify]: Simplify (* 1 1) into 1 4.088 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.088 * [taylor]: Taking taylor expansion of y in y 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.088 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.089 * [backup-simplify]: Simplify (* 1 1) into 1 4.089 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.089 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 4.089 * [taylor]: Taking taylor expansion of 1.0 in x 4.089 * [backup-simplify]: Simplify 1.0 into 1.0 4.089 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.091 * [backup-simplify]: Simplify (+ 0 0) into 0 4.091 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.092 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 4.092 * [taylor]: Taking taylor expansion of 0 in x 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.095 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 4.095 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 4.096 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 4.096 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 4.096 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 4.096 * [taylor]: Taking taylor expansion of 0.25 in x 4.096 * [backup-simplify]: Simplify 0.25 into 0.25 4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.096 * [taylor]: Taking taylor expansion of x in x 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (/ 1 1) into 1 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.102 * [backup-simplify]: Simplify (- 0) into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.103 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) into (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) 4.103 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in (x y) around 0 4.103 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in y 4.103 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 4.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.103 * [taylor]: Taking taylor expansion of x in y 4.103 * [backup-simplify]: Simplify x into x 4.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 4.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.103 * [taylor]: Taking taylor expansion of x in y 4.103 * [backup-simplify]: Simplify x into x 4.103 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.103 * [taylor]: Taking taylor expansion of 4.0 in y 4.103 * [backup-simplify]: Simplify 4.0 into 4.0 4.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.103 * [taylor]: Taking taylor expansion of y in y 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.103 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.103 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.103 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.103 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.103 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 4.103 * [taylor]: Taking taylor expansion of 4.0 in y 4.103 * [backup-simplify]: Simplify 4.0 into 4.0 4.103 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 4.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.103 * [taylor]: Taking taylor expansion of y in y 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 4.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.104 * [taylor]: Taking taylor expansion of x in y 4.104 * [backup-simplify]: Simplify x into x 4.104 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.104 * [taylor]: Taking taylor expansion of 4.0 in y 4.104 * [backup-simplify]: Simplify 4.0 into 4.0 4.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.104 * [taylor]: Taking taylor expansion of y in y 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (* 1 1) into 1 4.104 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.104 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.104 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.104 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 4.104 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 4.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.104 * [taylor]: Taking taylor expansion of x in x 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 4.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.104 * [taylor]: Taking taylor expansion of x in x 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.104 * [taylor]: Taking taylor expansion of 4.0 in x 4.104 * [backup-simplify]: Simplify 4.0 into 4.0 4.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.104 * [taylor]: Taking taylor expansion of y in x 4.104 * [backup-simplify]: Simplify y into y 4.105 * [backup-simplify]: Simplify (* 1 1) into 1 4.105 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.105 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.105 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 4.105 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 4.105 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 4.105 * [taylor]: Taking taylor expansion of 4.0 in x 4.105 * [backup-simplify]: Simplify 4.0 into 4.0 4.105 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 4.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.105 * [taylor]: Taking taylor expansion of y in x 4.105 * [backup-simplify]: Simplify y into y 4.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 4.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.105 * [taylor]: Taking taylor expansion of x in x 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 1 into 1 4.105 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.105 * [taylor]: Taking taylor expansion of 4.0 in x 4.105 * [backup-simplify]: Simplify 4.0 into 4.0 4.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.105 * [taylor]: Taking taylor expansion of y in x 4.105 * [backup-simplify]: Simplify y into y 4.106 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.106 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.106 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.106 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 4.106 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 4.106 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 4.106 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 4.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.106 * [taylor]: Taking taylor expansion of x in x 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 1 into 1 4.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 4.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.106 * [taylor]: Taking taylor expansion of x in x 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 1 into 1 4.106 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.106 * [taylor]: Taking taylor expansion of 4.0 in x 4.106 * [backup-simplify]: Simplify 4.0 into 4.0 4.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.106 * [taylor]: Taking taylor expansion of y in x 4.106 * [backup-simplify]: Simplify y into y 4.107 * [backup-simplify]: Simplify (* 1 1) into 1 4.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.107 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.107 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 4.107 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 4.107 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 4.107 * [taylor]: Taking taylor expansion of 4.0 in x 4.107 * [backup-simplify]: Simplify 4.0 into 4.0 4.107 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 4.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.107 * [taylor]: Taking taylor expansion of y in x 4.107 * [backup-simplify]: Simplify y into y 4.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 4.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.107 * [taylor]: Taking taylor expansion of x in x 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.107 * [taylor]: Taking taylor expansion of 4.0 in x 4.107 * [backup-simplify]: Simplify 4.0 into 4.0 4.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.107 * [taylor]: Taking taylor expansion of y in x 4.107 * [backup-simplify]: Simplify y into y 4.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.108 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.108 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 4.108 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 4.108 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0 4.109 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.109 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.109 * [taylor]: Taking taylor expansion of (- 1.0) in y 4.109 * [taylor]: Taking taylor expansion of 1.0 in y 4.109 * [backup-simplify]: Simplify 1.0 into 1.0 4.109 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.110 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.110 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.110 * [backup-simplify]: Simplify (+ 0 0) into 0 4.111 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0 4.111 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0 4.111 * [backup-simplify]: Simplify (- 0) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [taylor]: Taking taylor expansion of 0 in y 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (- 0) into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.113 * [backup-simplify]: Simplify (* 1 1) into 1 4.113 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.114 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.114 * [backup-simplify]: Simplify (+ 1 0) into 1 4.114 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 2)))) 4.115 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2)))) 4.115 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow y 2))))) into (* 0.25 (/ 1 (pow y 2))) 4.115 * [backup-simplify]: Simplify (+ (/ 0.25 (pow y 2)) (* 0.25 (/ 1 (pow y 2)))) into (* 0.5 (/ 1 (pow y 2))) 4.115 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 4.115 * [taylor]: Taking taylor expansion of 0.5 in y 4.115 * [backup-simplify]: Simplify 0.5 into 0.5 4.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.115 * [taylor]: Taking taylor expansion of y in y 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 1 into 1 4.116 * [backup-simplify]: Simplify (* 1 1) into 1 4.116 * [backup-simplify]: Simplify (/ 1 1) into 1 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (- 0) into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.119 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.120 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 4.121 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.123 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.125 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (- (* 0.0625 (/ 1 (pow y 2)))) (/ 0 (* 4.0 (pow y 2)))))) into 0 4.126 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25)))) into 0 4.126 * [backup-simplify]: Simplify (- 0) into 0 4.127 * [backup-simplify]: Simplify (+ 0 0) into 0 4.127 * [taylor]: Taking taylor expansion of 0 in y 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.128 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) 4.128 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 4.128 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 4.128 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 4.128 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 4.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.128 * [taylor]: Taking taylor expansion of x in y 4.128 * [backup-simplify]: Simplify x into x 4.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.128 * [taylor]: Taking taylor expansion of x in y 4.128 * [backup-simplify]: Simplify x into x 4.128 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.129 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.129 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.129 * [taylor]: Taking taylor expansion of 4.0 in y 4.129 * [backup-simplify]: Simplify 4.0 into 4.0 4.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.129 * [taylor]: Taking taylor expansion of y in y 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (* 1 1) into 1 4.129 * [backup-simplify]: Simplify (/ 1 1) into 1 4.130 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.130 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.130 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.131 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 4.131 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 4.131 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 4.131 * [taylor]: Taking taylor expansion of 4.0 in y 4.131 * [backup-simplify]: Simplify 4.0 into 4.0 4.131 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 4.131 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 4.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.131 * [taylor]: Taking taylor expansion of x in y 4.131 * [backup-simplify]: Simplify x into x 4.131 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.131 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.131 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.131 * [taylor]: Taking taylor expansion of 4.0 in y 4.131 * [backup-simplify]: Simplify 4.0 into 4.0 4.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.131 * [taylor]: Taking taylor expansion of y in y 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (* 1 1) into 1 4.132 * [backup-simplify]: Simplify (/ 1 1) into 1 4.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.132 * [taylor]: Taking taylor expansion of y in y 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.133 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.133 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.133 * [backup-simplify]: Simplify (* 1 1) into 1 4.134 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.134 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 4.134 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 4.134 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 4.134 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.134 * [taylor]: Taking taylor expansion of x in x 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.134 * [taylor]: Taking taylor expansion of x in x 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (* 1 1) into 1 4.135 * [backup-simplify]: Simplify (/ 1 1) into 1 4.135 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.135 * [taylor]: Taking taylor expansion of 4.0 in x 4.135 * [backup-simplify]: Simplify 4.0 into 4.0 4.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.135 * [taylor]: Taking taylor expansion of y in x 4.135 * [backup-simplify]: Simplify y into y 4.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.135 * [backup-simplify]: Simplify (* 1 1) into 1 4.136 * [backup-simplify]: Simplify (+ 1 0) into 1 4.136 * [backup-simplify]: Simplify (* 1 1) into 1 4.136 * [backup-simplify]: Simplify (/ 1 1) into 1 4.136 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 4.136 * [taylor]: Taking taylor expansion of 4.0 in x 4.136 * [backup-simplify]: Simplify 4.0 into 4.0 4.136 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 4.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 4.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.136 * [taylor]: Taking taylor expansion of x in x 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (* 1 1) into 1 4.137 * [backup-simplify]: Simplify (/ 1 1) into 1 4.137 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.137 * [taylor]: Taking taylor expansion of 4.0 in x 4.137 * [backup-simplify]: Simplify 4.0 into 4.0 4.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.137 * [taylor]: Taking taylor expansion of y in x 4.137 * [backup-simplify]: Simplify y into y 4.137 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.137 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.137 * [taylor]: Taking taylor expansion of y in x 4.137 * [backup-simplify]: Simplify y into y 4.137 * [backup-simplify]: Simplify (+ 1 0) into 1 4.137 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.138 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.138 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 4.138 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 4.138 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.138 * [taylor]: Taking taylor expansion of x in x 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.138 * [taylor]: Taking taylor expansion of x in x 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [backup-simplify]: Simplify (* 1 1) into 1 4.138 * [backup-simplify]: Simplify (/ 1 1) into 1 4.138 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.138 * [taylor]: Taking taylor expansion of 4.0 in x 4.138 * [backup-simplify]: Simplify 4.0 into 4.0 4.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.138 * [taylor]: Taking taylor expansion of y in x 4.138 * [backup-simplify]: Simplify y into y 4.139 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.139 * [backup-simplify]: Simplify (* 1 1) into 1 4.139 * [backup-simplify]: Simplify (+ 1 0) into 1 4.139 * [backup-simplify]: Simplify (* 1 1) into 1 4.140 * [backup-simplify]: Simplify (/ 1 1) into 1 4.140 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 4.140 * [taylor]: Taking taylor expansion of 4.0 in x 4.140 * [backup-simplify]: Simplify 4.0 into 4.0 4.140 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 4.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 4.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.140 * [taylor]: Taking taylor expansion of x in x 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (* 1 1) into 1 4.140 * [backup-simplify]: Simplify (/ 1 1) into 1 4.140 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.140 * [taylor]: Taking taylor expansion of 4.0 in x 4.140 * [backup-simplify]: Simplify 4.0 into 4.0 4.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.140 * [taylor]: Taking taylor expansion of y in x 4.140 * [backup-simplify]: Simplify y into y 4.140 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.141 * [taylor]: Taking taylor expansion of y in x 4.141 * [backup-simplify]: Simplify y into y 4.141 * [backup-simplify]: Simplify (+ 1 0) into 1 4.141 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.141 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.141 * [backup-simplify]: Simplify (+ 1 0) into 1 4.141 * [taylor]: Taking taylor expansion of 1 in y 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (+ 0 0) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (+ 0 0) into 0 4.144 * [taylor]: Taking taylor expansion of 0 in y 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.145 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.146 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 4.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 4.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.147 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.147 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.148 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 4.148 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.148 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.148 * [taylor]: Taking taylor expansion of 8.0 in y 4.148 * [backup-simplify]: Simplify 8.0 into 8.0 4.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.148 * [taylor]: Taking taylor expansion of y in y 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [backup-simplify]: Simplify (* 1 1) into 1 4.148 * [backup-simplify]: Simplify (/ 1 1) into 1 4.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.151 * [backup-simplify]: Simplify (- 0) into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.159 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.159 * [backup-simplify]: Simplify (+ 0 0) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ 0 0) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 4.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.166 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.167 * [backup-simplify]: Simplify (- 0) into 0 4.167 * [backup-simplify]: Simplify (+ 0 0) into 0 4.167 * [taylor]: Taking taylor expansion of 0 in y 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) 4.168 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 4.168 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 4.168 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 4.168 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 4.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.168 * [taylor]: Taking taylor expansion of x in y 4.168 * [backup-simplify]: Simplify x into x 4.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.168 * [taylor]: Taking taylor expansion of x in y 4.169 * [backup-simplify]: Simplify x into x 4.169 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.169 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.169 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.169 * [taylor]: Taking taylor expansion of 4.0 in y 4.169 * [backup-simplify]: Simplify 4.0 into 4.0 4.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.169 * [taylor]: Taking taylor expansion of y in y 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (* 1 1) into 1 4.170 * [backup-simplify]: Simplify (/ 1 1) into 1 4.170 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.170 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.171 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.171 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 4.171 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 4.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 4.171 * [taylor]: Taking taylor expansion of 4.0 in y 4.171 * [backup-simplify]: Simplify 4.0 into 4.0 4.171 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 4.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 4.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.171 * [taylor]: Taking taylor expansion of x in y 4.171 * [backup-simplify]: Simplify x into x 4.171 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.171 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.171 * [taylor]: Taking taylor expansion of 4.0 in y 4.171 * [backup-simplify]: Simplify 4.0 into 4.0 4.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.172 * [taylor]: Taking taylor expansion of y in y 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (* 1 1) into 1 4.172 * [backup-simplify]: Simplify (/ 1 1) into 1 4.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.172 * [taylor]: Taking taylor expansion of y in y 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.173 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.173 * [backup-simplify]: Simplify (* 1 1) into 1 4.174 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.174 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 4.174 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 4.174 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 4.174 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.174 * [taylor]: Taking taylor expansion of x in x 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 1 into 1 4.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.174 * [taylor]: Taking taylor expansion of x in x 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 1 into 1 4.175 * [backup-simplify]: Simplify (* 1 1) into 1 4.175 * [backup-simplify]: Simplify (/ 1 1) into 1 4.175 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.175 * [taylor]: Taking taylor expansion of 4.0 in x 4.175 * [backup-simplify]: Simplify 4.0 into 4.0 4.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.175 * [taylor]: Taking taylor expansion of y in x 4.175 * [backup-simplify]: Simplify y into y 4.175 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.176 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.176 * [backup-simplify]: Simplify (* 1 1) into 1 4.176 * [backup-simplify]: Simplify (+ 1 0) into 1 4.177 * [backup-simplify]: Simplify (* 1 1) into 1 4.177 * [backup-simplify]: Simplify (/ 1 1) into 1 4.177 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 4.177 * [taylor]: Taking taylor expansion of 4.0 in x 4.177 * [backup-simplify]: Simplify 4.0 into 4.0 4.177 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 4.177 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 4.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.177 * [taylor]: Taking taylor expansion of x in x 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (* 1 1) into 1 4.178 * [backup-simplify]: Simplify (/ 1 1) into 1 4.178 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.178 * [taylor]: Taking taylor expansion of 4.0 in x 4.178 * [backup-simplify]: Simplify 4.0 into 4.0 4.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.178 * [taylor]: Taking taylor expansion of y in x 4.178 * [backup-simplify]: Simplify y into y 4.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.179 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.179 * [taylor]: Taking taylor expansion of y in x 4.179 * [backup-simplify]: Simplify y into y 4.179 * [backup-simplify]: Simplify (+ 1 0) into 1 4.179 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.179 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.179 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.179 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 4.179 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 4.180 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (* 1 1) into 1 4.181 * [backup-simplify]: Simplify (/ 1 1) into 1 4.181 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.181 * [taylor]: Taking taylor expansion of 4.0 in x 4.181 * [backup-simplify]: Simplify 4.0 into 4.0 4.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.181 * [taylor]: Taking taylor expansion of y in x 4.181 * [backup-simplify]: Simplify y into y 4.181 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.181 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.181 * [backup-simplify]: Simplify (* 1 1) into 1 4.182 * [backup-simplify]: Simplify (+ 1 0) into 1 4.182 * [backup-simplify]: Simplify (* 1 1) into 1 4.183 * [backup-simplify]: Simplify (/ 1 1) into 1 4.183 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 4.183 * [taylor]: Taking taylor expansion of 4.0 in x 4.183 * [backup-simplify]: Simplify 4.0 into 4.0 4.183 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 4.183 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 4.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.183 * [taylor]: Taking taylor expansion of x in x 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.183 * [backup-simplify]: Simplify (* 1 1) into 1 4.184 * [backup-simplify]: Simplify (/ 1 1) into 1 4.184 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.184 * [taylor]: Taking taylor expansion of 4.0 in x 4.184 * [backup-simplify]: Simplify 4.0 into 4.0 4.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.184 * [taylor]: Taking taylor expansion of y in x 4.184 * [backup-simplify]: Simplify y into y 4.184 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.184 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.184 * [taylor]: Taking taylor expansion of y in x 4.184 * [backup-simplify]: Simplify y into y 4.185 * [backup-simplify]: Simplify (+ 1 0) into 1 4.185 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.185 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.185 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.186 * [backup-simplify]: Simplify (+ 1 0) into 1 4.186 * [taylor]: Taking taylor expansion of 1 in y 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify 1 into 1 4.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.188 * [backup-simplify]: Simplify (+ 0 0) into 0 4.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.190 * [backup-simplify]: Simplify (+ 0 0) into 0 4.190 * [taylor]: Taking taylor expansion of 0 in y 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.192 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 4.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.194 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.195 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.196 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.196 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 4.196 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.196 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.196 * [taylor]: Taking taylor expansion of 8.0 in y 4.196 * [backup-simplify]: Simplify 8.0 into 8.0 4.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.196 * [taylor]: Taking taylor expansion of y in y 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.197 * [backup-simplify]: Simplify (* 1 1) into 1 4.197 * [backup-simplify]: Simplify (/ 1 1) into 1 4.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.201 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.202 * [backup-simplify]: Simplify (- 0) into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.204 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.205 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.205 * [backup-simplify]: Simplify (+ 0 0) into 0 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ 0 0) into 0 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 4.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.213 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.213 * [backup-simplify]: Simplify (- 0) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.214 * [taylor]: Taking taylor expansion of 0 in y 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * * * [progress]: simplifying candidates 4.216 * [simplify]: Simplifying: (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x 1) (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) 1) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (- (+ (+ (log y) (log 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (+ (log (* y 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* (* y 4.0) y)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* y 4.0) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) 1) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) 1) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (log (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (* (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (+ (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (- (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) 0 0 0 0 0 0 (- 1.0) 1 1 4.220 * * [simplify]: Extracting # 0 : cost 0 4.221 * * [simplify]: Extracting # 1 : cost 0 4.221 * * [simplify]: Extracting # 2 : cost 0 4.221 * * [simplify]: Extracting # 3 : cost 0 4.222 * * [simplify]: Extracting # 4 : cost 0 4.222 * * [simplify]: Extracting # 5 : cost 0 4.222 * * [simplify]: Extracting # 6 : cost 0 4.223 * * [simplify]: Extracting # 7 : cost 0 4.223 * * [simplify]: iteration 0 : 130 enodes (cost 1924 ) 4.285 * * [simplify]: Extracting # 0 : cost 0 4.285 * * [simplify]: Extracting # 1 : cost 0 4.286 * * [simplify]: Extracting # 2 : cost 0 4.287 * * [simplify]: Extracting # 3 : cost 0 4.288 * * [simplify]: Extracting # 4 : cost 0 4.289 * * [simplify]: iteration 1 : 351 enodes (cost 1812 ) 4.493 * * [simplify]: Extracting # 0 : cost 0 4.497 * * [simplify]: Extracting # 1 : cost 0 4.500 * * [simplify]: Extracting # 2 : cost 0 4.503 * * [simplify]: Extracting # 3 : cost 0 4.506 * * [simplify]: Extracting # 4 : cost 0 4.509 * * [simplify]: iteration 2 : 1311 enodes (cost 1590 ) 5.739 * * [simplify]: Extracting # 0 : cost 0 5.751 * * [simplify]: Extracting # 1 : cost 0 5.757 * * [simplify]: Extracting # 2 : cost 0 5.763 * * [simplify]: Extracting # 3 : cost 0 5.769 * * [simplify]: Extracting # 4 : cost 0 5.780 * * [simplify]: iteration done: 5000 enodes (cost 1590 ) 5.781 * [simplify]: Simplified to: (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) x (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* x x) (/ (+ (* x x) (* (* y 4.0) y)) x) (* (/ x (+ (pow x 6) (pow (* (* y 4.0) y) 3))) x) (/ x (/ (- (* x (pow x 3)) (* (* (* 4.0 4.0) (pow y 3)) y)) x)) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (* y 4.0) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* y 4.0) y) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow x 6) (pow (* (* y 4.0) y) 3))) (/ (* y 4.0) (/ (- (* x (pow x 3)) (* (* (* 4.0 4.0) (pow y 3)) y)) y)) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (log (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (pow (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) 3) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (* x x) (* (* y 4.0) y)) (- (* x (pow x 3)) (* (* (* 4.0 4.0) (pow y 3)) y)) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3)) (+ (/ x (/ (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (pow x 3))) (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (/ x (/ (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (pow x 3))) (* (/ (* (* 4.0 4.0) (pow y 3)) (+ (* x x) (* (* y 4.0) y))) (/ y (+ (* x x) (* (* y 4.0) y))))) (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (- (* (/ x (+ (pow x 6) (pow (* (* y 4.0) y) 3))) x) (/ (* (* y 4.0) y) (+ (pow x 6) (pow (* (* y 4.0) y) 3)))) (- (/ x (/ (- (* x (pow x 3)) (* (* (* 4.0 4.0) (pow y 3)) y)) x)) (/ (* y 4.0) (/ (- (* x (pow x 3)) (* (* (* 4.0 4.0) (pow y 3)) y)) y))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) 0 0 0 0 0 0 (- 1.0) 1 1 5.782 * * * [progress]: adding candidates to table 6.063 * * [progress]: iteration 3 / 4 6.063 * * * [progress]: picking best candidate 6.071 * * * * [pick]: Picked # 6.071 * * * [progress]: localizing error 6.098 * * * [progress]: generating rewritten candidates 6.098 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 6.150 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 6.158 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.199 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.250 * * * [progress]: generating series expansions 6.250 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 6.251 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 6.251 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 6.251 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 6.251 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 6.251 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.251 * [taylor]: Taking taylor expansion of x in y 6.251 * [backup-simplify]: Simplify x into x 6.251 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 6.251 * [taylor]: Taking taylor expansion of 4.0 in y 6.251 * [backup-simplify]: Simplify 4.0 into 4.0 6.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.251 * [taylor]: Taking taylor expansion of y in y 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 1 into 1 6.251 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 6.251 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.251 * [taylor]: Taking taylor expansion of x in y 6.251 * [backup-simplify]: Simplify x into x 6.251 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 6.251 * [taylor]: Taking taylor expansion of 4.0 in y 6.251 * [backup-simplify]: Simplify 4.0 into 4.0 6.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.252 * [taylor]: Taking taylor expansion of y in y 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.252 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.252 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.252 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.252 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.252 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 6.252 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 6.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.252 * [taylor]: Taking taylor expansion of x in x 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.253 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.253 * [taylor]: Taking taylor expansion of 4.0 in x 6.253 * [backup-simplify]: Simplify 4.0 into 4.0 6.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.253 * [taylor]: Taking taylor expansion of y in x 6.253 * [backup-simplify]: Simplify y into y 6.253 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 6.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.253 * [taylor]: Taking taylor expansion of x in x 6.253 * [backup-simplify]: Simplify 0 into 0 6.253 * [backup-simplify]: Simplify 1 into 1 6.253 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.253 * [taylor]: Taking taylor expansion of 4.0 in x 6.253 * [backup-simplify]: Simplify 4.0 into 4.0 6.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.253 * [taylor]: Taking taylor expansion of y in x 6.253 * [backup-simplify]: Simplify y into y 6.253 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.253 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.253 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 6.254 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 6.254 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.254 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.254 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 6.254 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 6.254 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 6.254 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 6.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.254 * [taylor]: Taking taylor expansion of x in x 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.255 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.255 * [taylor]: Taking taylor expansion of 4.0 in x 6.255 * [backup-simplify]: Simplify 4.0 into 4.0 6.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.255 * [taylor]: Taking taylor expansion of y in x 6.255 * [backup-simplify]: Simplify y into y 6.255 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 6.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.255 * [taylor]: Taking taylor expansion of x in x 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 1 into 1 6.255 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.255 * [taylor]: Taking taylor expansion of 4.0 in x 6.255 * [backup-simplify]: Simplify 4.0 into 4.0 6.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.255 * [taylor]: Taking taylor expansion of y in x 6.255 * [backup-simplify]: Simplify y into y 6.255 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.255 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.255 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 6.256 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 6.256 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.256 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.256 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 6.256 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 6.256 * [taylor]: Taking taylor expansion of -1.0 in y 6.256 * [backup-simplify]: Simplify -1.0 into -1.0 6.256 * [backup-simplify]: Simplify -1.0 into -1.0 6.257 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.257 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 6.258 * [backup-simplify]: Simplify (- 0) into 0 6.258 * [backup-simplify]: Simplify (+ 0 0) into 0 6.259 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.259 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 6.260 * [backup-simplify]: Simplify (+ 0 0) into 0 6.260 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 6.260 * [taylor]: Taking taylor expansion of 0 in y 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (* 1 1) into 1 6.261 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.262 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.262 * [backup-simplify]: Simplify (- 0) into 0 6.263 * [backup-simplify]: Simplify (+ 1 0) into 1 6.263 * [backup-simplify]: Simplify (* 1 1) into 1 6.264 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.265 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.265 * [backup-simplify]: Simplify (+ 1 0) into 1 6.265 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 6.265 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 6.265 * [taylor]: Taking taylor expansion of 0.5 in y 6.265 * [backup-simplify]: Simplify 0.5 into 0.5 6.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.266 * [taylor]: Taking taylor expansion of y in y 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (* 1 1) into 1 6.266 * [backup-simplify]: Simplify (/ 1 1) into 1 6.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.270 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.270 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.271 * [backup-simplify]: Simplify (- 0) into 0 6.271 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.272 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.273 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.273 * [backup-simplify]: Simplify (+ 0 0) into 0 6.274 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 6.274 * [taylor]: Taking taylor expansion of 0 in y 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify -1.0 into -1.0 6.274 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 6.274 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 6.274 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 6.274 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.274 * [taylor]: Taking taylor expansion of x in y 6.274 * [backup-simplify]: Simplify x into x 6.274 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.274 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.274 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.274 * [taylor]: Taking taylor expansion of 4.0 in y 6.274 * [backup-simplify]: Simplify 4.0 into 4.0 6.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.274 * [taylor]: Taking taylor expansion of y in y 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 1 into 1 6.275 * [backup-simplify]: Simplify (* 1 1) into 1 6.275 * [backup-simplify]: Simplify (/ 1 1) into 1 6.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.275 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.275 * [taylor]: Taking taylor expansion of x in y 6.275 * [backup-simplify]: Simplify x into x 6.275 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.275 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.275 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.275 * [taylor]: Taking taylor expansion of 4.0 in y 6.275 * [backup-simplify]: Simplify 4.0 into 4.0 6.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.275 * [taylor]: Taking taylor expansion of y in y 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 1 into 1 6.276 * [backup-simplify]: Simplify (* 1 1) into 1 6.276 * [backup-simplify]: Simplify (/ 1 1) into 1 6.276 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.277 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.277 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 6.278 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.278 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 6.279 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 6.279 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.279 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.279 * [taylor]: Taking taylor expansion of x in x 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.279 * [backup-simplify]: Simplify (* 1 1) into 1 6.279 * [backup-simplify]: Simplify (/ 1 1) into 1 6.279 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.279 * [taylor]: Taking taylor expansion of 4.0 in x 6.279 * [backup-simplify]: Simplify 4.0 into 4.0 6.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.279 * [taylor]: Taking taylor expansion of y in x 6.279 * [backup-simplify]: Simplify y into y 6.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.280 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.280 * [taylor]: Taking taylor expansion of x in x 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify 1 into 1 6.280 * [backup-simplify]: Simplify (* 1 1) into 1 6.280 * [backup-simplify]: Simplify (/ 1 1) into 1 6.280 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.280 * [taylor]: Taking taylor expansion of 4.0 in x 6.280 * [backup-simplify]: Simplify 4.0 into 4.0 6.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.280 * [taylor]: Taking taylor expansion of y in x 6.280 * [backup-simplify]: Simplify y into y 6.280 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.281 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.281 * [backup-simplify]: Simplify (+ 1 0) into 1 6.281 * [backup-simplify]: Simplify (+ 1 0) into 1 6.281 * [backup-simplify]: Simplify (/ 1 1) into 1 6.281 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.282 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.282 * [taylor]: Taking taylor expansion of x in x 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 1 into 1 6.282 * [backup-simplify]: Simplify (* 1 1) into 1 6.282 * [backup-simplify]: Simplify (/ 1 1) into 1 6.282 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.282 * [taylor]: Taking taylor expansion of 4.0 in x 6.282 * [backup-simplify]: Simplify 4.0 into 4.0 6.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.282 * [taylor]: Taking taylor expansion of y in x 6.282 * [backup-simplify]: Simplify y into y 6.282 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.282 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.283 * [taylor]: Taking taylor expansion of x in x 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 1 into 1 6.283 * [backup-simplify]: Simplify (* 1 1) into 1 6.283 * [backup-simplify]: Simplify (/ 1 1) into 1 6.283 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.283 * [taylor]: Taking taylor expansion of 4.0 in x 6.283 * [backup-simplify]: Simplify 4.0 into 4.0 6.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.283 * [taylor]: Taking taylor expansion of y in x 6.283 * [backup-simplify]: Simplify y into y 6.283 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.283 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.284 * [backup-simplify]: Simplify (+ 1 0) into 1 6.284 * [backup-simplify]: Simplify (+ 1 0) into 1 6.285 * [backup-simplify]: Simplify (/ 1 1) into 1 6.285 * [taylor]: Taking taylor expansion of 1 in y 6.285 * [backup-simplify]: Simplify 1 into 1 6.285 * [backup-simplify]: Simplify 1 into 1 6.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (+ 0 0) into 0 6.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.287 * [backup-simplify]: Simplify (+ 0 0) into 0 6.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.288 * [taylor]: Taking taylor expansion of 0 in y 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.289 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.289 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.289 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.291 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.291 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 6.291 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 6.291 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 6.291 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 6.291 * [taylor]: Taking taylor expansion of 8.0 in y 6.291 * [backup-simplify]: Simplify 8.0 into 8.0 6.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.292 * [taylor]: Taking taylor expansion of y in y 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 1 into 1 6.292 * [backup-simplify]: Simplify (* 1 1) into 1 6.292 * [backup-simplify]: Simplify (/ 1 1) into 1 6.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.296 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 6.296 * [backup-simplify]: Simplify (- 0) into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.299 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.300 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.300 * [backup-simplify]: Simplify (- 0) into 0 6.301 * [backup-simplify]: Simplify (+ 0 0) into 0 6.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.303 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.304 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.304 * [backup-simplify]: Simplify (+ 0 0) into 0 6.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.306 * [taylor]: Taking taylor expansion of 0 in y 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 1 into 1 6.307 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 6.307 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 6.308 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 6.308 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.308 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.308 * [taylor]: Taking taylor expansion of x in y 6.308 * [backup-simplify]: Simplify x into x 6.308 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.308 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.308 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.308 * [taylor]: Taking taylor expansion of 4.0 in y 6.308 * [backup-simplify]: Simplify 4.0 into 4.0 6.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.308 * [taylor]: Taking taylor expansion of y in y 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (* 1 1) into 1 6.309 * [backup-simplify]: Simplify (/ 1 1) into 1 6.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.309 * [taylor]: Taking taylor expansion of x in y 6.309 * [backup-simplify]: Simplify x into x 6.309 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.309 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.310 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.310 * [taylor]: Taking taylor expansion of 4.0 in y 6.310 * [backup-simplify]: Simplify 4.0 into 4.0 6.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.310 * [taylor]: Taking taylor expansion of y in y 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify (* 1 1) into 1 6.311 * [backup-simplify]: Simplify (/ 1 1) into 1 6.311 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.311 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.312 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 6.313 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.313 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 6.314 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 6.314 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.314 * [taylor]: Taking taylor expansion of x in x 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.315 * [backup-simplify]: Simplify (* 1 1) into 1 6.315 * [backup-simplify]: Simplify (/ 1 1) into 1 6.315 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.315 * [taylor]: Taking taylor expansion of 4.0 in x 6.315 * [backup-simplify]: Simplify 4.0 into 4.0 6.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.315 * [taylor]: Taking taylor expansion of y in x 6.315 * [backup-simplify]: Simplify y into y 6.315 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.316 * [taylor]: Taking taylor expansion of x in x 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 1 into 1 6.316 * [backup-simplify]: Simplify (* 1 1) into 1 6.317 * [backup-simplify]: Simplify (/ 1 1) into 1 6.317 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.317 * [taylor]: Taking taylor expansion of 4.0 in x 6.317 * [backup-simplify]: Simplify 4.0 into 4.0 6.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.317 * [taylor]: Taking taylor expansion of y in x 6.317 * [backup-simplify]: Simplify y into y 6.317 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.317 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.318 * [backup-simplify]: Simplify (+ 1 0) into 1 6.318 * [backup-simplify]: Simplify (+ 1 0) into 1 6.318 * [backup-simplify]: Simplify (/ 1 1) into 1 6.318 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.319 * [taylor]: Taking taylor expansion of x in x 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 1 into 1 6.319 * [backup-simplify]: Simplify (* 1 1) into 1 6.319 * [backup-simplify]: Simplify (/ 1 1) into 1 6.320 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.320 * [taylor]: Taking taylor expansion of 4.0 in x 6.320 * [backup-simplify]: Simplify 4.0 into 4.0 6.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.320 * [taylor]: Taking taylor expansion of y in x 6.320 * [backup-simplify]: Simplify y into y 6.320 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.320 * [taylor]: Taking taylor expansion of x in x 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 1 into 1 6.321 * [backup-simplify]: Simplify (* 1 1) into 1 6.321 * [backup-simplify]: Simplify (/ 1 1) into 1 6.321 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.321 * [taylor]: Taking taylor expansion of 4.0 in x 6.321 * [backup-simplify]: Simplify 4.0 into 4.0 6.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.321 * [taylor]: Taking taylor expansion of y in x 6.321 * [backup-simplify]: Simplify y into y 6.321 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.322 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.322 * [backup-simplify]: Simplify (+ 1 0) into 1 6.322 * [backup-simplify]: Simplify (+ 1 0) into 1 6.323 * [backup-simplify]: Simplify (/ 1 1) into 1 6.323 * [taylor]: Taking taylor expansion of 1 in y 6.323 * [backup-simplify]: Simplify 1 into 1 6.323 * [backup-simplify]: Simplify 1 into 1 6.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.325 * [backup-simplify]: Simplify (+ 0 0) into 0 6.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.327 * [backup-simplify]: Simplify (+ 0 0) into 0 6.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.328 * [taylor]: Taking taylor expansion of 0 in y 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.330 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.330 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.331 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.333 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.333 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 6.334 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 6.334 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 6.334 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 6.334 * [taylor]: Taking taylor expansion of 8.0 in y 6.334 * [backup-simplify]: Simplify 8.0 into 8.0 6.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.335 * [taylor]: Taking taylor expansion of y in y 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify (* 1 1) into 1 6.335 * [backup-simplify]: Simplify (/ 1 1) into 1 6.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.340 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 6.340 * [backup-simplify]: Simplify (- 0) into 0 6.340 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.343 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.344 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.344 * [backup-simplify]: Simplify (- 0) into 0 6.345 * [backup-simplify]: Simplify (+ 0 0) into 0 6.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.349 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.349 * [backup-simplify]: Simplify (+ 0 0) into 0 6.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.351 * [taylor]: Taking taylor expansion of 0 in y 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 1 into 1 6.352 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 6.352 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 6.352 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 6.352 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 6.352 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.352 * [taylor]: Taking taylor expansion of x in y 6.352 * [backup-simplify]: Simplify x into x 6.352 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 6.352 * [taylor]: Taking taylor expansion of 4.0 in y 6.352 * [backup-simplify]: Simplify 4.0 into 4.0 6.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.352 * [taylor]: Taking taylor expansion of y in y 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 1 into 1 6.352 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 6.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.352 * [taylor]: Taking taylor expansion of x in x 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 1 into 1 6.352 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.353 * [taylor]: Taking taylor expansion of 4.0 in x 6.353 * [backup-simplify]: Simplify 4.0 into 4.0 6.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.353 * [taylor]: Taking taylor expansion of y in x 6.353 * [backup-simplify]: Simplify y into y 6.353 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 6.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.353 * [taylor]: Taking taylor expansion of x in x 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 1 into 1 6.353 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.353 * [taylor]: Taking taylor expansion of 4.0 in x 6.353 * [backup-simplify]: Simplify 4.0 into 4.0 6.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.353 * [taylor]: Taking taylor expansion of y in x 6.353 * [backup-simplify]: Simplify y into y 6.353 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.353 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.354 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 6.354 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 6.354 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 6.354 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 6.354 * [taylor]: Taking taylor expansion of 4.0 in y 6.354 * [backup-simplify]: Simplify 4.0 into 4.0 6.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.354 * [taylor]: Taking taylor expansion of y in y 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify 1 into 1 6.354 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.355 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 6.356 * [backup-simplify]: Simplify (- 0) into 0 6.356 * [backup-simplify]: Simplify (+ 0 0) into 0 6.356 * [taylor]: Taking taylor expansion of 0 in y 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify (* 1 1) into 1 6.357 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.358 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.359 * [backup-simplify]: Simplify (- 0) into 0 6.359 * [backup-simplify]: Simplify (+ 1 0) into 1 6.359 * [taylor]: Taking taylor expansion of 1 in y 6.359 * [backup-simplify]: Simplify 1 into 1 6.359 * [backup-simplify]: Simplify 1 into 1 6.359 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify (* 1 1) into 1 6.360 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.361 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.361 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.363 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.364 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.364 * [backup-simplify]: Simplify (- 0) into 0 6.365 * [backup-simplify]: Simplify (+ 0 0) into 0 6.365 * [taylor]: Taking taylor expansion of 0 in y 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.366 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 6.367 * [backup-simplify]: Simplify (- 0) into 0 6.367 * [backup-simplify]: Simplify 0 into 0 6.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.369 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.370 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.371 * [backup-simplify]: Simplify (- 0) into 0 6.371 * [backup-simplify]: Simplify (+ 0 0) into 0 6.371 * [taylor]: Taking taylor expansion of 0 in y 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 6.372 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 6.373 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 6.373 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.373 * [taylor]: Taking taylor expansion of x in y 6.373 * [backup-simplify]: Simplify x into x 6.373 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.373 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.373 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.373 * [taylor]: Taking taylor expansion of 4.0 in y 6.373 * [backup-simplify]: Simplify 4.0 into 4.0 6.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.373 * [taylor]: Taking taylor expansion of y in y 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify 1 into 1 6.373 * [backup-simplify]: Simplify (* 1 1) into 1 6.374 * [backup-simplify]: Simplify (/ 1 1) into 1 6.374 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.374 * [taylor]: Taking taylor expansion of x in x 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [backup-simplify]: Simplify (* 1 1) into 1 6.374 * [backup-simplify]: Simplify (/ 1 1) into 1 6.374 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.374 * [taylor]: Taking taylor expansion of 4.0 in x 6.374 * [backup-simplify]: Simplify 4.0 into 4.0 6.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.374 * [taylor]: Taking taylor expansion of y in x 6.374 * [backup-simplify]: Simplify y into y 6.374 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.374 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.375 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.375 * [taylor]: Taking taylor expansion of x in x 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (* 1 1) into 1 6.375 * [backup-simplify]: Simplify (/ 1 1) into 1 6.375 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.375 * [taylor]: Taking taylor expansion of 4.0 in x 6.375 * [backup-simplify]: Simplify 4.0 into 4.0 6.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.375 * [taylor]: Taking taylor expansion of y in x 6.375 * [backup-simplify]: Simplify y into y 6.375 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.376 * [backup-simplify]: Simplify (+ 1 0) into 1 6.376 * [taylor]: Taking taylor expansion of 1 in y 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.377 * [backup-simplify]: Simplify (+ 0 0) into 0 6.377 * [taylor]: Taking taylor expansion of 0 in y 6.377 * [backup-simplify]: Simplify 0 into 0 6.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.384 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.384 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.384 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 6.384 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.384 * [taylor]: Taking taylor expansion of 4.0 in y 6.384 * [backup-simplify]: Simplify 4.0 into 4.0 6.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.384 * [taylor]: Taking taylor expansion of y in y 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 1 into 1 6.385 * [backup-simplify]: Simplify (* 1 1) into 1 6.385 * [backup-simplify]: Simplify (/ 1 1) into 1 6.385 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.386 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.386 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.386 * [backup-simplify]: Simplify 1 into 1 6.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.387 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.388 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.388 * [backup-simplify]: Simplify (- 0) into 0 6.388 * [backup-simplify]: Simplify (+ 0 0) into 0 6.388 * [taylor]: Taking taylor expansion of 0 in y 6.388 * [backup-simplify]: Simplify 0 into 0 6.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.390 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 6.390 * [backup-simplify]: Simplify (- 0) into 0 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.392 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.393 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 6.393 * [backup-simplify]: Simplify (- 0) into 0 6.393 * [backup-simplify]: Simplify (+ 0 0) into 0 6.393 * [taylor]: Taking taylor expansion of 0 in y 6.393 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.396 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 6.397 * [backup-simplify]: Simplify (- 0) into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.398 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 6.398 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 6.398 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 6.398 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.398 * [taylor]: Taking taylor expansion of x in y 6.398 * [backup-simplify]: Simplify x into x 6.399 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.399 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.399 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.399 * [taylor]: Taking taylor expansion of 4.0 in y 6.399 * [backup-simplify]: Simplify 4.0 into 4.0 6.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.399 * [taylor]: Taking taylor expansion of y in y 6.399 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify 1 into 1 6.399 * [backup-simplify]: Simplify (* 1 1) into 1 6.400 * [backup-simplify]: Simplify (/ 1 1) into 1 6.400 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.400 * [taylor]: Taking taylor expansion of x in x 6.400 * [backup-simplify]: Simplify 0 into 0 6.400 * [backup-simplify]: Simplify 1 into 1 6.400 * [backup-simplify]: Simplify (* 1 1) into 1 6.401 * [backup-simplify]: Simplify (/ 1 1) into 1 6.401 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.401 * [taylor]: Taking taylor expansion of 4.0 in x 6.401 * [backup-simplify]: Simplify 4.0 into 4.0 6.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.401 * [taylor]: Taking taylor expansion of y in x 6.401 * [backup-simplify]: Simplify y into y 6.401 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.401 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.401 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.401 * [taylor]: Taking taylor expansion of x in x 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify (* 1 1) into 1 6.402 * [backup-simplify]: Simplify (/ 1 1) into 1 6.402 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.402 * [taylor]: Taking taylor expansion of 4.0 in x 6.402 * [backup-simplify]: Simplify 4.0 into 4.0 6.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.402 * [taylor]: Taking taylor expansion of y in x 6.403 * [backup-simplify]: Simplify y into y 6.403 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.403 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.403 * [backup-simplify]: Simplify (+ 1 0) into 1 6.403 * [taylor]: Taking taylor expansion of 1 in y 6.403 * [backup-simplify]: Simplify 1 into 1 6.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.405 * [backup-simplify]: Simplify (+ 0 0) into 0 6.405 * [taylor]: Taking taylor expansion of 0 in y 6.405 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.408 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.408 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.409 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.409 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 6.409 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.409 * [taylor]: Taking taylor expansion of 4.0 in y 6.409 * [backup-simplify]: Simplify 4.0 into 4.0 6.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.409 * [taylor]: Taking taylor expansion of y in y 6.409 * [backup-simplify]: Simplify 0 into 0 6.409 * [backup-simplify]: Simplify 1 into 1 6.409 * [backup-simplify]: Simplify (* 1 1) into 1 6.410 * [backup-simplify]: Simplify (/ 1 1) into 1 6.410 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.411 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.411 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.411 * [backup-simplify]: Simplify 1 into 1 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.414 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.415 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.415 * [backup-simplify]: Simplify (- 0) into 0 6.416 * [backup-simplify]: Simplify (+ 0 0) into 0 6.416 * [taylor]: Taking taylor expansion of 0 in y 6.416 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.418 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 6.419 * [backup-simplify]: Simplify (- 0) into 0 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.422 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.423 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 6.424 * [backup-simplify]: Simplify (- 0) into 0 6.424 * [backup-simplify]: Simplify (+ 0 0) into 0 6.424 * [taylor]: Taking taylor expansion of 0 in y 6.424 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.427 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 6.428 * [backup-simplify]: Simplify (- 0) into 0 6.428 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 6.429 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.429 * [backup-simplify]: Simplify (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3) into (pow (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 3) 6.429 * [approximate]: Taking taylor expansion of (pow (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 3) in (x y) around 0 6.430 * [taylor]: Taking taylor expansion of (pow (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 3) in y 6.430 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 6.430 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 6.430 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.430 * [taylor]: Taking taylor expansion of x in y 6.430 * [backup-simplify]: Simplify x into x 6.430 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 6.430 * [taylor]: Taking taylor expansion of 4.0 in y 6.430 * [backup-simplify]: Simplify 4.0 into 4.0 6.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.430 * [taylor]: Taking taylor expansion of y in y 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.430 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 6.430 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.430 * [taylor]: Taking taylor expansion of x in y 6.430 * [backup-simplify]: Simplify x into x 6.430 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 6.430 * [taylor]: Taking taylor expansion of 4.0 in y 6.430 * [backup-simplify]: Simplify 4.0 into 4.0 6.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.430 * [taylor]: Taking taylor expansion of y in y 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.430 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.430 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.430 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.431 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.431 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.431 * [taylor]: Taking taylor expansion of (pow (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 3) in x 6.431 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 6.431 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 6.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.431 * [taylor]: Taking taylor expansion of x in x 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.431 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.431 * [taylor]: Taking taylor expansion of 4.0 in x 6.431 * [backup-simplify]: Simplify 4.0 into 4.0 6.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.431 * [taylor]: Taking taylor expansion of y in x 6.431 * [backup-simplify]: Simplify y into y 6.431 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 6.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.431 * [taylor]: Taking taylor expansion of x in x 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.431 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.431 * [taylor]: Taking taylor expansion of 4.0 in x 6.431 * [backup-simplify]: Simplify 4.0 into 4.0 6.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.432 * [taylor]: Taking taylor expansion of y in x 6.432 * [backup-simplify]: Simplify y into y 6.432 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.432 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.432 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 6.432 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 6.432 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.432 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.433 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 6.433 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 6.433 * [taylor]: Taking taylor expansion of (pow (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 3) in x 6.433 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 6.433 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 6.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.433 * [taylor]: Taking taylor expansion of x in x 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 1 into 1 6.433 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.433 * [taylor]: Taking taylor expansion of 4.0 in x 6.433 * [backup-simplify]: Simplify 4.0 into 4.0 6.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.433 * [taylor]: Taking taylor expansion of y in x 6.433 * [backup-simplify]: Simplify y into y 6.433 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 6.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.433 * [taylor]: Taking taylor expansion of x in x 6.434 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify 1 into 1 6.434 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.434 * [taylor]: Taking taylor expansion of 4.0 in x 6.434 * [backup-simplify]: Simplify 4.0 into 4.0 6.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.434 * [taylor]: Taking taylor expansion of y in x 6.434 * [backup-simplify]: Simplify y into y 6.434 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.434 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.434 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 6.434 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 6.434 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.435 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.435 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 6.435 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 6.436 * [backup-simplify]: Simplify (* -1.0 -1.0) into 1.0 6.436 * [backup-simplify]: Simplify (* -1.0 1.0) into -1.0 6.436 * [taylor]: Taking taylor expansion of -1.0 in y 6.436 * [backup-simplify]: Simplify -1.0 into -1.0 6.436 * [backup-simplify]: Simplify -1.0 into -1.0 6.437 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.437 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 6.438 * [backup-simplify]: Simplify (- 0) into 0 6.438 * [backup-simplify]: Simplify (+ 0 0) into 0 6.438 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.439 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.439 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 6.440 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 -1.0)) into 0 6.441 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 1.0)) into 0 6.441 * [taylor]: Taking taylor expansion of 0 in y 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify (* 1 1) into 1 6.442 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.443 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.443 * [backup-simplify]: Simplify (- 0) into 0 6.443 * [backup-simplify]: Simplify (+ 1 0) into 1 6.444 * [backup-simplify]: Simplify (* 1 1) into 1 6.444 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.445 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.446 * [backup-simplify]: Simplify (+ 1 0) into 1 6.446 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 6.447 * [backup-simplify]: Simplify (+ (* -1.0 (* 0.5 (/ 1 (pow y 2)))) (+ (* 0 0) (* (* 0.5 (/ 1 (pow y 2))) -1.0))) into (- (* 1.0 (/ 1 (pow y 2)))) 6.448 * [backup-simplify]: Simplify (+ (* -1.0 (- (* 1.0 (/ 1 (pow y 2))))) (+ (* 0 0) (* (* 0.5 (/ 1 (pow y 2))) 1.0))) into (* 1.5 (/ 1 (pow y 2))) 6.448 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 (pow y 2))) in y 6.448 * [taylor]: Taking taylor expansion of 1.5 in y 6.448 * [backup-simplify]: Simplify 1.5 into 1.5 6.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.448 * [taylor]: Taking taylor expansion of y in y 6.448 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify 1 into 1 6.449 * [backup-simplify]: Simplify (* 1 1) into 1 6.449 * [backup-simplify]: Simplify (/ 1 1) into 1 6.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.454 * [backup-simplify]: Simplify (+ (* 1.5 0) (+ (* 0 0) (* 0 1))) into 0 6.454 * [backup-simplify]: Simplify 0 into 0 6.454 * [backup-simplify]: Simplify 0 into 0 6.454 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.456 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.457 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.457 * [backup-simplify]: Simplify (- 0) into 0 6.458 * [backup-simplify]: Simplify (+ 0 0) into 0 6.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.458 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.459 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.460 * [backup-simplify]: Simplify (+ 0 0) into 0 6.460 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 6.461 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 (* 0.5 (/ 1 (pow y 2)))) (+ (* (* 0.5 (/ 1 (pow y 2))) 0) (* 0 -1.0)))) into 0 6.462 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 (- (* 1.0 (/ 1 (pow y 2))))) (+ (* (* 0.5 (/ 1 (pow y 2))) 0) (* 0 1.0)))) into 0 6.462 * [taylor]: Taking taylor expansion of 0 in y 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify -1.0 into -1.0 6.462 * [backup-simplify]: Simplify (pow (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) 3) into (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3) 6.462 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3) in (x y) around 0 6.462 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3) in y 6.462 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 6.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.462 * [taylor]: Taking taylor expansion of x in y 6.462 * [backup-simplify]: Simplify x into x 6.462 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.462 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.463 * [taylor]: Taking taylor expansion of 4.0 in y 6.463 * [backup-simplify]: Simplify 4.0 into 4.0 6.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.463 * [taylor]: Taking taylor expansion of y in y 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [backup-simplify]: Simplify (* 1 1) into 1 6.463 * [backup-simplify]: Simplify (/ 1 1) into 1 6.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.463 * [taylor]: Taking taylor expansion of x in y 6.463 * [backup-simplify]: Simplify x into x 6.463 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.464 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.464 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.464 * [taylor]: Taking taylor expansion of 4.0 in y 6.464 * [backup-simplify]: Simplify 4.0 into 4.0 6.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.464 * [taylor]: Taking taylor expansion of y in y 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [backup-simplify]: Simplify (* 1 1) into 1 6.464 * [backup-simplify]: Simplify (/ 1 1) into 1 6.464 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.465 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.465 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 6.466 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.466 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 6.467 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 6.467 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3) in x 6.467 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.467 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.467 * [taylor]: Taking taylor expansion of x in x 6.467 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify 1 into 1 6.467 * [backup-simplify]: Simplify (* 1 1) into 1 6.467 * [backup-simplify]: Simplify (/ 1 1) into 1 6.467 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.467 * [taylor]: Taking taylor expansion of 4.0 in x 6.467 * [backup-simplify]: Simplify 4.0 into 4.0 6.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.467 * [taylor]: Taking taylor expansion of y in x 6.467 * [backup-simplify]: Simplify y into y 6.468 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.468 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.468 * [taylor]: Taking taylor expansion of x in x 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify 1 into 1 6.468 * [backup-simplify]: Simplify (* 1 1) into 1 6.468 * [backup-simplify]: Simplify (/ 1 1) into 1 6.468 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.468 * [taylor]: Taking taylor expansion of 4.0 in x 6.469 * [backup-simplify]: Simplify 4.0 into 4.0 6.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.469 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.469 * [taylor]: Taking taylor expansion of y in x 6.469 * [backup-simplify]: Simplify y into y 6.469 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.469 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.469 * [backup-simplify]: Simplify (+ 1 0) into 1 6.469 * [backup-simplify]: Simplify (+ 1 0) into 1 6.470 * [backup-simplify]: Simplify (/ 1 1) into 1 6.470 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3) in x 6.470 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.470 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.470 * [taylor]: Taking taylor expansion of x in x 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (* 1 1) into 1 6.470 * [backup-simplify]: Simplify (/ 1 1) into 1 6.470 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.470 * [taylor]: Taking taylor expansion of 4.0 in x 6.470 * [backup-simplify]: Simplify 4.0 into 4.0 6.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.470 * [taylor]: Taking taylor expansion of y in x 6.470 * [backup-simplify]: Simplify y into y 6.470 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.470 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.471 * [taylor]: Taking taylor expansion of x in x 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 1 into 1 6.471 * [backup-simplify]: Simplify (* 1 1) into 1 6.471 * [backup-simplify]: Simplify (/ 1 1) into 1 6.471 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.471 * [taylor]: Taking taylor expansion of 4.0 in x 6.471 * [backup-simplify]: Simplify 4.0 into 4.0 6.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.471 * [taylor]: Taking taylor expansion of y in x 6.471 * [backup-simplify]: Simplify y into y 6.471 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.471 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.472 * [backup-simplify]: Simplify (+ 1 0) into 1 6.472 * [backup-simplify]: Simplify (+ 1 0) into 1 6.472 * [backup-simplify]: Simplify (/ 1 1) into 1 6.472 * [backup-simplify]: Simplify (* 1 1) into 1 6.473 * [backup-simplify]: Simplify (* 1 1) into 1 6.473 * [taylor]: Taking taylor expansion of 1 in y 6.473 * [backup-simplify]: Simplify 1 into 1 6.473 * [backup-simplify]: Simplify 1 into 1 6.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.474 * [backup-simplify]: Simplify (+ 0 0) into 0 6.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.476 * [taylor]: Taking taylor expansion of 0 in y 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.477 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.478 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.478 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.479 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.479 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 6.480 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 6.480 * [backup-simplify]: Simplify (+ (* 1 (- (* 8.0 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 8.0 (/ 1 (pow y 2)))) 1))) into (- (* 16.0 (/ 1 (pow y 2)))) 6.481 * [backup-simplify]: Simplify (+ (* 1 (- (* 16.0 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 8.0 (/ 1 (pow y 2)))) 1))) into (- (* 24.0 (/ 1 (pow y 2)))) 6.481 * [taylor]: Taking taylor expansion of (- (* 24.0 (/ 1 (pow y 2)))) in y 6.481 * [taylor]: Taking taylor expansion of (* 24.0 (/ 1 (pow y 2))) in y 6.481 * [taylor]: Taking taylor expansion of 24.0 in y 6.481 * [backup-simplify]: Simplify 24.0 into 24.0 6.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.481 * [taylor]: Taking taylor expansion of y in y 6.481 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify 1 into 1 6.481 * [backup-simplify]: Simplify (* 1 1) into 1 6.482 * [backup-simplify]: Simplify (/ 1 1) into 1 6.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.484 * [backup-simplify]: Simplify (+ (* 24.0 0) (+ (* 0 0) (* 0 1))) into 0 6.484 * [backup-simplify]: Simplify (- 0) into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.487 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.487 * [backup-simplify]: Simplify (- 0) into 0 6.488 * [backup-simplify]: Simplify (+ 0 0) into 0 6.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.490 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.490 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.490 * [backup-simplify]: Simplify (+ 0 0) into 0 6.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 8.0 (/ 1 (pow y 2))))) (+ (* (- (* 8.0 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 6.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 16.0 (/ 1 (pow y 2))))) (+ (* (- (* 8.0 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 6.493 * [taylor]: Taking taylor expansion of 0 in y 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.494 * [backup-simplify]: Simplify (pow (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) 3) into (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3) 6.494 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3) in (x y) around 0 6.494 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3) in y 6.494 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 6.494 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.494 * [taylor]: Taking taylor expansion of x in y 6.494 * [backup-simplify]: Simplify x into x 6.494 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.494 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.494 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.494 * [taylor]: Taking taylor expansion of 4.0 in y 6.494 * [backup-simplify]: Simplify 4.0 into 4.0 6.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.494 * [taylor]: Taking taylor expansion of y in y 6.494 * [backup-simplify]: Simplify 0 into 0 6.494 * [backup-simplify]: Simplify 1 into 1 6.494 * [backup-simplify]: Simplify (* 1 1) into 1 6.495 * [backup-simplify]: Simplify (/ 1 1) into 1 6.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.495 * [taylor]: Taking taylor expansion of x in y 6.495 * [backup-simplify]: Simplify x into x 6.495 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.495 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.495 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.495 * [taylor]: Taking taylor expansion of 4.0 in y 6.495 * [backup-simplify]: Simplify 4.0 into 4.0 6.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.495 * [taylor]: Taking taylor expansion of y in y 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.495 * [backup-simplify]: Simplify (* 1 1) into 1 6.496 * [backup-simplify]: Simplify (/ 1 1) into 1 6.496 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.496 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.497 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 6.497 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.497 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 6.498 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 6.498 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3) in x 6.498 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.498 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.498 * [taylor]: Taking taylor expansion of x in x 6.498 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify 1 into 1 6.498 * [backup-simplify]: Simplify (* 1 1) into 1 6.498 * [backup-simplify]: Simplify (/ 1 1) into 1 6.498 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.498 * [taylor]: Taking taylor expansion of 4.0 in x 6.498 * [backup-simplify]: Simplify 4.0 into 4.0 6.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.498 * [taylor]: Taking taylor expansion of y in x 6.498 * [backup-simplify]: Simplify y into y 6.499 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.499 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.499 * [taylor]: Taking taylor expansion of x in x 6.499 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify 1 into 1 6.499 * [backup-simplify]: Simplify (* 1 1) into 1 6.499 * [backup-simplify]: Simplify (/ 1 1) into 1 6.499 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.499 * [taylor]: Taking taylor expansion of 4.0 in x 6.499 * [backup-simplify]: Simplify 4.0 into 4.0 6.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.499 * [taylor]: Taking taylor expansion of y in x 6.499 * [backup-simplify]: Simplify y into y 6.499 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.499 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.500 * [backup-simplify]: Simplify (+ 1 0) into 1 6.500 * [backup-simplify]: Simplify (+ 1 0) into 1 6.500 * [backup-simplify]: Simplify (/ 1 1) into 1 6.500 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3) in x 6.500 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.500 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.500 * [taylor]: Taking taylor expansion of x in x 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.501 * [backup-simplify]: Simplify (* 1 1) into 1 6.501 * [backup-simplify]: Simplify (/ 1 1) into 1 6.501 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.501 * [taylor]: Taking taylor expansion of 4.0 in x 6.501 * [backup-simplify]: Simplify 4.0 into 4.0 6.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.501 * [taylor]: Taking taylor expansion of y in x 6.501 * [backup-simplify]: Simplify y into y 6.501 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.501 * [taylor]: Taking taylor expansion of x in x 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify 1 into 1 6.502 * [backup-simplify]: Simplify (* 1 1) into 1 6.502 * [backup-simplify]: Simplify (/ 1 1) into 1 6.502 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.502 * [taylor]: Taking taylor expansion of 4.0 in x 6.502 * [backup-simplify]: Simplify 4.0 into 4.0 6.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.502 * [taylor]: Taking taylor expansion of y in x 6.502 * [backup-simplify]: Simplify y into y 6.502 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.502 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.502 * [backup-simplify]: Simplify (+ 1 0) into 1 6.503 * [backup-simplify]: Simplify (+ 1 0) into 1 6.503 * [backup-simplify]: Simplify (/ 1 1) into 1 6.503 * [backup-simplify]: Simplify (* 1 1) into 1 6.503 * [backup-simplify]: Simplify (* 1 1) into 1 6.503 * [taylor]: Taking taylor expansion of 1 in y 6.503 * [backup-simplify]: Simplify 1 into 1 6.503 * [backup-simplify]: Simplify 1 into 1 6.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (+ 0 0) into 0 6.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.506 * [backup-simplify]: Simplify (+ 0 0) into 0 6.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.507 * [taylor]: Taking taylor expansion of 0 in y 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.508 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.508 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.508 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.514 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 6.515 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 6.516 * [backup-simplify]: Simplify (+ (* 1 (- (* 8.0 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 8.0 (/ 1 (pow y 2)))) 1))) into (- (* 16.0 (/ 1 (pow y 2)))) 6.516 * [backup-simplify]: Simplify (+ (* 1 (- (* 16.0 (/ 1 (pow y 2))))) (+ (* 0 0) (* (- (* 8.0 (/ 1 (pow y 2)))) 1))) into (- (* 24.0 (/ 1 (pow y 2)))) 6.516 * [taylor]: Taking taylor expansion of (- (* 24.0 (/ 1 (pow y 2)))) in y 6.516 * [taylor]: Taking taylor expansion of (* 24.0 (/ 1 (pow y 2))) in y 6.516 * [taylor]: Taking taylor expansion of 24.0 in y 6.516 * [backup-simplify]: Simplify 24.0 into 24.0 6.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.516 * [taylor]: Taking taylor expansion of y in y 6.516 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify 1 into 1 6.517 * [backup-simplify]: Simplify (* 1 1) into 1 6.517 * [backup-simplify]: Simplify (/ 1 1) into 1 6.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.522 * [backup-simplify]: Simplify (+ (* 24.0 0) (+ (* 0 0) (* 0 1))) into 0 6.522 * [backup-simplify]: Simplify (- 0) into 0 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.524 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.525 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.526 * [backup-simplify]: Simplify (- 0) into 0 6.526 * [backup-simplify]: Simplify (+ 0 0) into 0 6.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.529 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.530 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.530 * [backup-simplify]: Simplify (+ 0 0) into 0 6.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 8.0 (/ 1 (pow y 2))))) (+ (* (- (* 8.0 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 16.0 (/ 1 (pow y 2))))) (+ (* (- (* 8.0 (/ 1 (pow y 2)))) 0) (* 0 1)))) into 0 6.535 * [taylor]: Taking taylor expansion of 0 in y 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 1 into 1 6.535 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.536 * [backup-simplify]: Simplify (cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 6.536 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 6.536 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 6.536 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 6.536 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.536 * [taylor]: Taking taylor expansion of x in y 6.536 * [backup-simplify]: Simplify x into x 6.536 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 6.536 * [taylor]: Taking taylor expansion of 4.0 in y 6.536 * [backup-simplify]: Simplify 4.0 into 4.0 6.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.536 * [taylor]: Taking taylor expansion of y in y 6.536 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify 1 into 1 6.536 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 6.536 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.536 * [taylor]: Taking taylor expansion of x in y 6.537 * [backup-simplify]: Simplify x into x 6.537 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 6.537 * [taylor]: Taking taylor expansion of 4.0 in y 6.537 * [backup-simplify]: Simplify 4.0 into 4.0 6.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.537 * [taylor]: Taking taylor expansion of y in y 6.537 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify 1 into 1 6.537 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.537 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.537 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.537 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.537 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.537 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 6.537 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 6.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.538 * [taylor]: Taking taylor expansion of x in x 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.538 * [taylor]: Taking taylor expansion of 4.0 in x 6.538 * [backup-simplify]: Simplify 4.0 into 4.0 6.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.538 * [taylor]: Taking taylor expansion of y in x 6.538 * [backup-simplify]: Simplify y into y 6.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 6.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.538 * [taylor]: Taking taylor expansion of x in x 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.538 * [taylor]: Taking taylor expansion of 4.0 in x 6.538 * [backup-simplify]: Simplify 4.0 into 4.0 6.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.538 * [taylor]: Taking taylor expansion of y in x 6.538 * [backup-simplify]: Simplify y into y 6.538 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.538 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.539 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 6.539 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 6.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.539 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.539 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 6.540 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 6.540 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 6.540 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 6.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.540 * [taylor]: Taking taylor expansion of x in x 6.540 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify 1 into 1 6.540 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.540 * [taylor]: Taking taylor expansion of 4.0 in x 6.540 * [backup-simplify]: Simplify 4.0 into 4.0 6.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.540 * [taylor]: Taking taylor expansion of y in x 6.540 * [backup-simplify]: Simplify y into y 6.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 6.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.540 * [taylor]: Taking taylor expansion of x in x 6.540 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify 1 into 1 6.540 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 6.540 * [taylor]: Taking taylor expansion of 4.0 in x 6.540 * [backup-simplify]: Simplify 4.0 into 4.0 6.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.540 * [taylor]: Taking taylor expansion of y in x 6.540 * [backup-simplify]: Simplify y into y 6.540 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.541 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.541 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 6.541 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 6.541 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.541 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 6.541 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 6.542 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 6.542 * [taylor]: Taking taylor expansion of -1.0 in y 6.542 * [backup-simplify]: Simplify -1.0 into -1.0 6.542 * [backup-simplify]: Simplify -1.0 into -1.0 6.542 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.543 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 6.543 * [backup-simplify]: Simplify (- 0) into 0 6.544 * [backup-simplify]: Simplify (+ 0 0) into 0 6.544 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.544 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 6.545 * [backup-simplify]: Simplify (+ 0 0) into 0 6.545 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 6.545 * [taylor]: Taking taylor expansion of 0 in y 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify (* 1 1) into 1 6.546 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.547 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.547 * [backup-simplify]: Simplify (- 0) into 0 6.547 * [backup-simplify]: Simplify (+ 1 0) into 1 6.548 * [backup-simplify]: Simplify (* 1 1) into 1 6.548 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.549 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.550 * [backup-simplify]: Simplify (+ 1 0) into 1 6.551 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 6.551 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 6.551 * [taylor]: Taking taylor expansion of 0.5 in y 6.551 * [backup-simplify]: Simplify 0.5 into 0.5 6.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.551 * [taylor]: Taking taylor expansion of y in y 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify 1 into 1 6.551 * [backup-simplify]: Simplify (* 1 1) into 1 6.551 * [backup-simplify]: Simplify (/ 1 1) into 1 6.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.556 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.557 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.559 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.559 * [backup-simplify]: Simplify (- 0) into 0 6.559 * [backup-simplify]: Simplify (+ 0 0) into 0 6.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.561 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.562 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.562 * [backup-simplify]: Simplify (+ 0 0) into 0 6.563 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) 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 -1.0 into -1.0 6.564 * [backup-simplify]: Simplify (cbrt (pow (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) 3)) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 6.564 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 6.564 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 6.564 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.564 * [taylor]: Taking taylor expansion of x in y 6.564 * [backup-simplify]: Simplify x into x 6.564 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.564 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.565 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.565 * [taylor]: Taking taylor expansion of 4.0 in y 6.565 * [backup-simplify]: Simplify 4.0 into 4.0 6.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.565 * [taylor]: Taking taylor expansion of y in y 6.565 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [backup-simplify]: Simplify (* 1 1) into 1 6.566 * [backup-simplify]: Simplify (/ 1 1) into 1 6.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.566 * [taylor]: Taking taylor expansion of x in y 6.566 * [backup-simplify]: Simplify x into x 6.566 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.566 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.566 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.566 * [taylor]: Taking taylor expansion of 4.0 in y 6.566 * [backup-simplify]: Simplify 4.0 into 4.0 6.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.566 * [taylor]: Taking taylor expansion of y in y 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify (* 1 1) into 1 6.567 * [backup-simplify]: Simplify (/ 1 1) into 1 6.568 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.568 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.569 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 6.569 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.570 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 6.571 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 6.571 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.571 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.571 * [taylor]: Taking taylor expansion of x in x 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify 1 into 1 6.571 * [backup-simplify]: Simplify (* 1 1) into 1 6.572 * [backup-simplify]: Simplify (/ 1 1) into 1 6.572 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.572 * [taylor]: Taking taylor expansion of 4.0 in x 6.572 * [backup-simplify]: Simplify 4.0 into 4.0 6.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.572 * [taylor]: Taking taylor expansion of y in x 6.572 * [backup-simplify]: Simplify y into y 6.572 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.572 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.572 * [taylor]: Taking taylor expansion of x in x 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 1 into 1 6.573 * [backup-simplify]: Simplify (* 1 1) into 1 6.573 * [backup-simplify]: Simplify (/ 1 1) into 1 6.573 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.573 * [taylor]: Taking taylor expansion of 4.0 in x 6.573 * [backup-simplify]: Simplify 4.0 into 4.0 6.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.573 * [taylor]: Taking taylor expansion of y in x 6.573 * [backup-simplify]: Simplify y into y 6.573 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.574 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.574 * [backup-simplify]: Simplify (+ 1 0) into 1 6.574 * [backup-simplify]: Simplify (+ 1 0) into 1 6.575 * [backup-simplify]: Simplify (/ 1 1) into 1 6.575 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.575 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.575 * [taylor]: Taking taylor expansion of x in x 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 1 into 1 6.575 * [backup-simplify]: Simplify (* 1 1) into 1 6.576 * [backup-simplify]: Simplify (/ 1 1) into 1 6.576 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.576 * [taylor]: Taking taylor expansion of 4.0 in x 6.576 * [backup-simplify]: Simplify 4.0 into 4.0 6.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.576 * [taylor]: Taking taylor expansion of y in x 6.576 * [backup-simplify]: Simplify y into y 6.576 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.576 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 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 (* 4.0 (/ 1 (pow y 2))) in x 6.577 * [taylor]: Taking taylor expansion of 4.0 in x 6.577 * [backup-simplify]: Simplify 4.0 into 4.0 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) 6.577 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.578 * [backup-simplify]: Simplify (+ 1 0) into 1 6.578 * [backup-simplify]: Simplify (+ 1 0) into 1 6.579 * [backup-simplify]: Simplify (/ 1 1) into 1 6.579 * [taylor]: Taking taylor expansion of 1 in y 6.579 * [backup-simplify]: Simplify 1 into 1 6.579 * [backup-simplify]: Simplify 1 into 1 6.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.581 * [backup-simplify]: Simplify (+ 0 0) into 0 6.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (+ 0 0) into 0 6.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.584 * [taylor]: Taking taylor expansion of 0 in y 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.586 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.586 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.586 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.589 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.589 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 6.590 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 6.590 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 6.590 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 6.590 * [taylor]: Taking taylor expansion of 8.0 in y 6.590 * [backup-simplify]: Simplify 8.0 into 8.0 6.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.590 * [taylor]: Taking taylor expansion of y in y 6.590 * [backup-simplify]: Simplify 0 into 0 6.590 * [backup-simplify]: Simplify 1 into 1 6.591 * [backup-simplify]: Simplify (* 1 1) into 1 6.591 * [backup-simplify]: Simplify (/ 1 1) into 1 6.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.595 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 6.596 * [backup-simplify]: Simplify (- 0) into 0 6.596 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.598 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.599 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.599 * [backup-simplify]: Simplify (- 0) into 0 6.600 * [backup-simplify]: Simplify (+ 0 0) into 0 6.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.602 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.603 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.603 * [backup-simplify]: Simplify (+ 0 0) into 0 6.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.605 * [taylor]: Taking taylor expansion of 0 in y 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.606 * [backup-simplify]: Simplify (cbrt (pow (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) 3)) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 6.606 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 6.606 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 6.606 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.607 * [taylor]: Taking taylor expansion of x in y 6.607 * [backup-simplify]: Simplify x into x 6.607 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.607 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.607 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.607 * [taylor]: Taking taylor expansion of 4.0 in y 6.607 * [backup-simplify]: Simplify 4.0 into 4.0 6.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.607 * [taylor]: Taking taylor expansion of y in y 6.607 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify 1 into 1 6.607 * [backup-simplify]: Simplify (* 1 1) into 1 6.608 * [backup-simplify]: Simplify (/ 1 1) into 1 6.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.608 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.608 * [taylor]: Taking taylor expansion of x in y 6.608 * [backup-simplify]: Simplify x into x 6.608 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.608 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.608 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 6.608 * [taylor]: Taking taylor expansion of 4.0 in y 6.608 * [backup-simplify]: Simplify 4.0 into 4.0 6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.608 * [taylor]: Taking taylor expansion of y in y 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify 1 into 1 6.609 * [backup-simplify]: Simplify (* 1 1) into 1 6.609 * [backup-simplify]: Simplify (/ 1 1) into 1 6.610 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.610 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.611 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 6.611 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 6.612 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 6.612 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 6.613 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.613 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.613 * [taylor]: Taking taylor expansion of x in x 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify 1 into 1 6.613 * [backup-simplify]: Simplify (* 1 1) into 1 6.613 * [backup-simplify]: Simplify (/ 1 1) into 1 6.613 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.613 * [taylor]: Taking taylor expansion of 4.0 in x 6.613 * [backup-simplify]: Simplify 4.0 into 4.0 6.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.614 * [taylor]: Taking taylor expansion of y in x 6.614 * [backup-simplify]: Simplify y into y 6.614 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.614 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.614 * [taylor]: Taking taylor expansion of x in x 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 1 into 1 6.614 * [backup-simplify]: Simplify (* 1 1) into 1 6.615 * [backup-simplify]: Simplify (/ 1 1) into 1 6.615 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.615 * [taylor]: Taking taylor expansion of 4.0 in x 6.615 * [backup-simplify]: Simplify 4.0 into 4.0 6.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.615 * [taylor]: Taking taylor expansion of y in x 6.615 * [backup-simplify]: Simplify y into y 6.615 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.615 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.616 * [backup-simplify]: Simplify (+ 1 0) into 1 6.616 * [backup-simplify]: Simplify (+ 1 0) into 1 6.616 * [backup-simplify]: Simplify (/ 1 1) into 1 6.616 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 6.616 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.616 * [taylor]: Taking taylor expansion of x in x 6.616 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify 1 into 1 6.617 * [backup-simplify]: Simplify (* 1 1) into 1 6.617 * [backup-simplify]: Simplify (/ 1 1) into 1 6.617 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.618 * [taylor]: Taking taylor expansion of 4.0 in x 6.618 * [backup-simplify]: Simplify 4.0 into 4.0 6.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.618 * [taylor]: Taking taylor expansion of y in x 6.618 * [backup-simplify]: Simplify y into y 6.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.618 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 6.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.618 * [taylor]: Taking taylor expansion of x in x 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 1 into 1 6.618 * [backup-simplify]: Simplify (* 1 1) into 1 6.619 * [backup-simplify]: Simplify (/ 1 1) into 1 6.619 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 6.619 * [taylor]: Taking taylor expansion of 4.0 in x 6.619 * [backup-simplify]: Simplify 4.0 into 4.0 6.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.619 * [taylor]: Taking taylor expansion of y in x 6.619 * [backup-simplify]: Simplify y into y 6.619 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.619 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.620 * [backup-simplify]: Simplify (+ 1 0) into 1 6.620 * [backup-simplify]: Simplify (+ 1 0) into 1 6.620 * [backup-simplify]: Simplify (/ 1 1) into 1 6.620 * [taylor]: Taking taylor expansion of 1 in y 6.620 * [backup-simplify]: Simplify 1 into 1 6.621 * [backup-simplify]: Simplify 1 into 1 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.622 * [backup-simplify]: Simplify (+ 0 0) into 0 6.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.623 * [backup-simplify]: Simplify (+ 0 0) into 0 6.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.623 * [taylor]: Taking taylor expansion of 0 in y 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 0 into 0 6.624 * [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 (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.625 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.625 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 6.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.626 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 6.626 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 6.627 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 6.627 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 6.627 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 6.627 * [taylor]: Taking taylor expansion of 8.0 in y 6.627 * [backup-simplify]: Simplify 8.0 into 8.0 6.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 * [backup-simplify]: Simplify (* 1 1) into 1 6.628 * [backup-simplify]: Simplify (/ 1 1) into 1 6.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.630 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 6.631 * [backup-simplify]: Simplify (- 0) into 0 6.631 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.632 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.632 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.633 * [backup-simplify]: Simplify (- 0) into 0 6.633 * [backup-simplify]: Simplify (+ 0 0) into 0 6.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.634 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.635 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 6.635 * [backup-simplify]: Simplify (+ 0 0) into 0 6.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) 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 1 into 1 6.636 * * * [progress]: simplifying candidates 6.639 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* 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[simplify]: Extracting # 7 : cost 0 6.646 * * [simplify]: iteration 0 : 166 enodes (cost 5027 ) 6.708 * * [simplify]: Extracting # 0 : cost 0 6.709 * * [simplify]: Extracting # 1 : cost 0 6.709 * * [simplify]: Extracting # 2 : cost 0 6.710 * * [simplify]: Extracting # 3 : cost 0 6.710 * * [simplify]: Extracting # 4 : cost 0 6.711 * * [simplify]: iteration 1 : 477 enodes (cost 4526 ) 6.962 * * [simplify]: Extracting # 0 : cost 0 6.966 * * [simplify]: Extracting # 1 : cost 0 6.970 * * [simplify]: Extracting # 2 : cost 0 6.974 * * [simplify]: Extracting # 3 : cost 0 6.978 * * [simplify]: Extracting # 4 : cost 0 6.981 * * [simplify]: Extracting # 5 : cost 0 6.983 * * [simplify]: iteration 2 : 1656 enodes (cost 4066 ) 7.843 * * [simplify]: Extracting # 0 : cost 0 7.854 * * [simplify]: Extracting # 1 : cost 0 7.875 * * [simplify]: Extracting # 2 : cost 0 7.887 * * [simplify]: Extracting # 3 : cost 0 7.900 * * [simplify]: Extracting # 4 : cost 0 7.913 * * [simplify]: iteration done: 5001 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(- (pow x 2) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 2)) (cbrt (sqrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))) (cbrt (sqrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))) 1 (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* (* y 4.0) y))) (cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3/2)) (cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3/2)) (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* (* y 4.0) y)) (cbrt (pow (/ (- (pow x 2) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 2)) (cbrt (/ (- (pow x 2) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (- (pow x 2) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (pow x 2) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) -1.0 1 1 -1.0 1 1 7.919 * * * [progress]: adding candidates to table 8.359 * * [progress]: iteration 4 / 4 8.359 * * * [progress]: picking best candidate 8.364 * * * * [pick]: Picked # 8.364 * * * [progress]: localizing error 8.368 * * * [progress]: generating rewritten candidates 8.368 * * * [progress]: generating series expansions 8.368 * * * [progress]: simplifying candidates 8.368 * [simplify]: Simplifying: 8.368 * * [simplify]: Extracting # 0 : cost 0 8.368 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 8.368 * * [simplify]: Extracting # 0 : cost 0 8.368 * * [simplify]: iteration done: 0 enodes (cost 0 ) 8.368 * [simplify]: Simplified to: 8.368 * * * [progress]: adding candidates to table 8.369 * [progress]: [Phase 3 of 3] Extracting. 8.369 * * [regime]: Finding splitpoints for: (# # # #) 8.370 * * * [regime-changes]: Trying 5 branch expressions: ((* (* y 4.0) y) (* x x) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) y x) 8.370 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # #) 8.434 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 8.481 * * * * [regimes]: Trying to branch on (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) from (# # # #) 8.514 * * * * [regimes]: Trying to branch on (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) from (# # #) 8.545 * * * * [regimes]: Trying to branch on y from (# # # #) 8.591 * * * * [regimes]: Trying to branch on x from (# # # #) 8.678 * * * [regime]: Found split indices: #