26.664 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: Extracting # 3 : cost 0 0.035 * * [simplify]: Extracting # 4 : cost 0 0.035 * * [simplify]: Extracting # 5 : cost 0 0.035 * * [simplify]: iteration 0 : 9 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 1 : 17 enodes (cost 19 ) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: iteration 2 : 35 enodes (cost 19 ) 0.060 * * [simplify]: Extracting # 0 : cost 0 0.060 * * [simplify]: Extracting # 1 : cost 0 0.060 * * [simplify]: Extracting # 2 : cost 0 0.060 * * [simplify]: iteration 3 : 67 enodes (cost 19 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: Extracting # 1 : cost 0 0.090 * * [simplify]: Extracting # 2 : cost 0 0.091 * * [simplify]: iteration 4 : 111 enodes (cost 19 ) 0.155 * * [simplify]: Extracting # 0 : cost 0 0.155 * * [simplify]: Extracting # 1 : cost 0 0.155 * * [simplify]: Extracting # 2 : cost 0 0.155 * * [simplify]: iteration 5 : 158 enodes (cost 19 ) 0.218 * * [simplify]: Extracting # 0 : cost 0 0.219 * * [simplify]: Extracting # 1 : cost 0 0.219 * * [simplify]: Extracting # 2 : cost 0 0.219 * * [simplify]: iteration 6 : 173 enodes (cost 19 ) 0.281 * * [simplify]: Extracting # 0 : cost 0 0.281 * * [simplify]: iteration 7 : 174 enodes (cost 19 ) 0.346 * * [simplify]: Extracting # 0 : cost 0 0.346 * * [simplify]: iteration done: 174 enodes (cost 19 ) 0.346 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.347 * * [progress]: iteration 1 / 4 0.347 * * * [progress]: picking best candidate 0.350 * * * * [pick]: Picked # 0.350 * * * [progress]: localizing error 0.367 * * * [progress]: generating rewritten candidates 0.367 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.405 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.415 * * * [progress]: generating series expansions 0.415 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.416 * [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)))) 0.416 * [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 0.416 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.416 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [backup-simplify]: Simplify x into x 0.416 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of 4.0 in y 0.416 * [backup-simplify]: Simplify 4.0 into 4.0 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [backup-simplify]: Simplify x into x 0.416 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of 4.0 in y 0.416 * [backup-simplify]: Simplify 4.0 into 4.0 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.416 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.416 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.417 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.417 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.417 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.417 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of 4.0 in x 0.417 * [backup-simplify]: Simplify 4.0 into 4.0 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [backup-simplify]: Simplify y into y 0.417 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of 4.0 in x 0.417 * [backup-simplify]: Simplify 4.0 into 4.0 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [backup-simplify]: Simplify y into y 0.417 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.417 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.417 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.418 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.418 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.418 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.418 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.418 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.418 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.418 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of 4.0 in x 0.418 * [backup-simplify]: Simplify 4.0 into 4.0 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of 4.0 in x 0.418 * [backup-simplify]: Simplify 4.0 into 4.0 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.419 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.419 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.419 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.419 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.419 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.419 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.419 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.419 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.419 * [taylor]: Taking taylor expansion of -1.0 in y 0.419 * [backup-simplify]: Simplify -1.0 into -1.0 0.419 * [backup-simplify]: Simplify -1.0 into -1.0 0.419 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.420 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.421 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 1 0) into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [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))) 0.425 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.425 * [taylor]: Taking taylor expansion of 0.5 in y 0.425 * [backup-simplify]: Simplify 0.5 into 0.5 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.430 * [backup-simplify]: Simplify (- 0) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [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 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify -1.0 into -1.0 0.433 * [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))))) 0.433 * [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 0.433 * [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 0.433 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [backup-simplify]: Simplify x into x 0.434 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.434 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.434 * [taylor]: Taking taylor expansion of 4.0 in y 0.434 * [backup-simplify]: Simplify 4.0 into 4.0 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [backup-simplify]: Simplify x into x 0.434 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.434 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.435 * [taylor]: Taking taylor expansion of 4.0 in y 0.435 * [backup-simplify]: Simplify 4.0 into 4.0 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.436 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.436 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.436 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.437 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.437 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.437 * [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 0.437 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.438 * [taylor]: Taking taylor expansion of 4.0 in x 0.438 * [backup-simplify]: Simplify 4.0 into 4.0 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [backup-simplify]: Simplify y into y 0.438 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of 4.0 in x 0.440 * [backup-simplify]: Simplify 4.0 into 4.0 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [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 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of 4.0 in x 0.443 * [backup-simplify]: Simplify 4.0 into 4.0 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [backup-simplify]: Simplify y into y 0.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.443 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.444 * [taylor]: Taking taylor expansion of 4.0 in x 0.444 * [backup-simplify]: Simplify 4.0 into 4.0 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [backup-simplify]: Simplify y into y 0.444 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.445 * [backup-simplify]: Simplify (+ 1 0) into 1 0.445 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [taylor]: Taking taylor expansion of 1 in y 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.453 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.453 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.455 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.457 * [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)))) 0.457 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.457 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.457 * [taylor]: Taking taylor expansion of 8.0 in y 0.457 * [backup-simplify]: Simplify 8.0 into 8.0 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [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 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.472 * [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))))) 0.472 * [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 0.472 * [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 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [backup-simplify]: Simplify x into x 0.472 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.472 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.472 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.472 * [taylor]: Taking taylor expansion of 4.0 in y 0.472 * [backup-simplify]: Simplify 4.0 into 4.0 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (* 1 1) into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [backup-simplify]: Simplify x into x 0.473 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.473 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.473 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of 4.0 in y 0.473 * [backup-simplify]: Simplify 4.0 into 4.0 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.474 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.475 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.475 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.476 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.476 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.476 * [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 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.477 * [taylor]: Taking taylor expansion of 4.0 in x 0.477 * [backup-simplify]: Simplify 4.0 into 4.0 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [backup-simplify]: Simplify y into y 0.477 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.477 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.478 * [taylor]: Taking taylor expansion of 4.0 in x 0.478 * [backup-simplify]: Simplify 4.0 into 4.0 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [backup-simplify]: Simplify y into y 0.478 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.478 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [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 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.479 * [taylor]: Taking taylor expansion of 4.0 in x 0.479 * [backup-simplify]: Simplify 4.0 into 4.0 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [backup-simplify]: Simplify y into y 0.479 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.480 * [taylor]: Taking taylor expansion of 4.0 in x 0.480 * [backup-simplify]: Simplify 4.0 into 4.0 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [backup-simplify]: Simplify y into y 0.480 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [taylor]: Taking taylor expansion of 1 in y 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.485 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.485 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.487 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.487 * [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)))) 0.487 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.487 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.487 * [taylor]: Taking taylor expansion of 8.0 in y 0.487 * [backup-simplify]: Simplify 8.0 into 8.0 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [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 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.497 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.497 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.497 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [backup-simplify]: Simplify x into x 0.497 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of 4.0 in y 0.497 * [backup-simplify]: Simplify 4.0 into 4.0 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.497 * [taylor]: Taking taylor expansion of 4.0 in x 0.497 * [backup-simplify]: Simplify 4.0 into 4.0 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [backup-simplify]: Simplify y into y 0.497 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of 4.0 in x 0.498 * [backup-simplify]: Simplify 4.0 into 4.0 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [backup-simplify]: Simplify y into y 0.498 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.498 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.498 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.498 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.498 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.498 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of 4.0 in y 0.499 * [backup-simplify]: Simplify 4.0 into 4.0 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.499 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.500 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify (+ 1 0) into 1 0.503 * [taylor]: Taking taylor expansion of 1 in y 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.504 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.509 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (- 0) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.517 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.520 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.520 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.520 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [backup-simplify]: Simplify x into x 0.520 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.521 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.521 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.521 * [taylor]: Taking taylor expansion of 4.0 in y 0.521 * [backup-simplify]: Simplify 4.0 into 4.0 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.523 * [taylor]: Taking taylor expansion of 4.0 in x 0.523 * [backup-simplify]: Simplify 4.0 into 4.0 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [backup-simplify]: Simplify y into y 0.523 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.523 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.523 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.524 * [taylor]: Taking taylor expansion of 4.0 in x 0.524 * [backup-simplify]: Simplify 4.0 into 4.0 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [backup-simplify]: Simplify y into y 0.524 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.524 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.525 * [backup-simplify]: Simplify (+ 1 0) into 1 0.525 * [taylor]: Taking taylor expansion of 1 in y 0.525 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [backup-simplify]: Simplify 0 into 0 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 (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.529 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.529 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.529 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.529 * [taylor]: Taking taylor expansion of 4.0 in y 0.530 * [backup-simplify]: Simplify 4.0 into 4.0 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 (* 4.0 1) into 4.0 0.531 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.532 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.532 * [backup-simplify]: Simplify 1 into 1 0.533 * [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 0.535 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.542 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [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))) 0.547 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.547 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.547 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [backup-simplify]: Simplify x into x 0.548 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.548 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.548 * [taylor]: Taking taylor expansion of 4.0 in y 0.548 * [backup-simplify]: Simplify 4.0 into 4.0 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (/ 1 1) into 1 0.549 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (* 1 1) into 1 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of 4.0 in x 0.550 * [backup-simplify]: Simplify 4.0 into 4.0 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [backup-simplify]: Simplify y into y 0.550 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.550 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.550 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (* 1 1) into 1 0.551 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.551 * [taylor]: Taking taylor expansion of 4.0 in x 0.551 * [backup-simplify]: Simplify 4.0 into 4.0 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [backup-simplify]: Simplify y into y 0.551 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.551 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.552 * [backup-simplify]: Simplify (+ 1 0) into 1 0.552 * [taylor]: Taking taylor expansion of 1 in y 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [backup-simplify]: Simplify 0 into 0 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 0.556 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.556 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.556 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.556 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.556 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.556 * [taylor]: Taking taylor expansion of 4.0 in y 0.556 * [backup-simplify]: Simplify 4.0 into 4.0 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 0.557 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.558 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.558 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.560 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.562 * [backup-simplify]: Simplify (- 0) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 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 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.567 * [backup-simplify]: Simplify (- 0) into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.568 * [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))) 0.568 * * * [progress]: simplifying candidates 0.569 * [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))) 0.570 * * [simplify]: Extracting # 0 : cost 0 0.570 * * [simplify]: Extracting # 1 : cost 0 0.571 * * [simplify]: Extracting # 2 : cost 0 0.571 * * [simplify]: Extracting # 3 : cost 0 0.571 * * [simplify]: Extracting # 4 : cost 0 0.571 * * [simplify]: Extracting # 5 : cost 0 0.571 * * [simplify]: Extracting # 6 : cost 0 0.571 * * [simplify]: Extracting # 7 : cost 0 0.571 * * [simplify]: iteration 0 : 82 enodes (cost 1196 ) 0.594 * * [simplify]: Extracting # 0 : cost 0 0.594 * * [simplify]: Extracting # 1 : cost 0 0.595 * * [simplify]: Extracting # 2 : cost 0 0.595 * * [simplify]: Extracting # 3 : cost 0 0.596 * * [simplify]: Extracting # 4 : cost 0 0.596 * * [simplify]: iteration 1 : 220 enodes (cost 1174 ) 0.723 * * [simplify]: Extracting # 0 : cost 0 0.724 * * [simplify]: Extracting # 1 : cost 0 0.725 * * [simplify]: Extracting # 2 : cost 0 0.726 * * [simplify]: Extracting # 3 : cost 0 0.727 * * [simplify]: Extracting # 4 : cost 0 0.727 * * [simplify]: iteration 2 : 738 enodes (cost 1060 ) 1.255 * * [simplify]: Extracting # 0 : cost 0 1.258 * * [simplify]: Extracting # 1 : cost 0 1.261 * * [simplify]: Extracting # 2 : cost 0 1.264 * * [simplify]: Extracting # 3 : cost 0 1.273 * * [simplify]: Extracting # 4 : cost 0 1.278 * * [simplify]: iteration 3 : 2712 enodes (cost 1056 ) 3.077 * * [simplify]: Extracting # 0 : cost 0 3.084 * * [simplify]: Extracting # 1 : cost 0 3.089 * * [simplify]: Extracting # 2 : cost 0 3.095 * * [simplify]: Extracting # 3 : cost 0 3.100 * * [simplify]: Extracting # 4 : cost 0 3.105 * * [simplify]: iteration done: 5000 enodes (cost 1042 ) 3.106 * [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)) 3.106 * * * [progress]: adding candidates to table 3.279 * * [progress]: iteration 2 / 4 3.279 * * * [progress]: picking best candidate 3.286 * * * * [pick]: Picked # 3.286 * * * [progress]: localizing error 3.287 * * * [progress]: generating rewritten candidates 3.287 * * * [progress]: generating series expansions 3.287 * * * [progress]: simplifying candidates 3.287 * [simplify]: Simplifying: 3.287 * * [simplify]: Extracting # 0 : cost 0 3.287 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 3.287 * * [simplify]: Extracting # 0 : cost 0 3.287 * * [simplify]: iteration done: 0 enodes (cost 0 ) 3.287 * [simplify]: Simplified to: 3.287 * * * [progress]: adding candidates to table 3.288 * * [progress]: iteration 3 / 4 3.288 * * * [progress]: picking best candidate 3.293 * * * * [pick]: Picked # 3.293 * * * [progress]: localizing error 3.315 * * * [progress]: generating rewritten candidates 3.315 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.352 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.394 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.428 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.449 * * * [progress]: generating series expansions 3.449 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.449 * [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)))) 3.449 * [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 3.449 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.449 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 3.449 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.449 * [taylor]: Taking taylor expansion of x in y 3.449 * [backup-simplify]: Simplify x into x 3.449 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.449 * [taylor]: Taking taylor expansion of 4.0 in y 3.449 * [backup-simplify]: Simplify 4.0 into 4.0 3.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.450 * [taylor]: Taking taylor expansion of y in y 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.450 * [taylor]: Taking taylor expansion of x in y 3.450 * [backup-simplify]: Simplify x into x 3.450 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.450 * [taylor]: Taking taylor expansion of 4.0 in y 3.450 * [backup-simplify]: Simplify 4.0 into 4.0 3.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.450 * [taylor]: Taking taylor expansion of y in y 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.450 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.450 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.450 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.451 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.451 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.451 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.451 * [taylor]: Taking taylor expansion of x in x 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.451 * [taylor]: Taking taylor expansion of 4.0 in x 3.451 * [backup-simplify]: Simplify 4.0 into 4.0 3.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.451 * [taylor]: Taking taylor expansion of y in x 3.451 * [backup-simplify]: Simplify y into y 3.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.451 * [taylor]: Taking taylor expansion of x in x 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.451 * [taylor]: Taking taylor expansion of 4.0 in x 3.451 * [backup-simplify]: Simplify 4.0 into 4.0 3.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.451 * [taylor]: Taking taylor expansion of y in x 3.451 * [backup-simplify]: Simplify y into y 3.451 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.451 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.452 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.452 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.452 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.452 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.452 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.453 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 3.453 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.453 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.453 * [taylor]: Taking taylor expansion of x in x 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.453 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.453 * [taylor]: Taking taylor expansion of 4.0 in x 3.453 * [backup-simplify]: Simplify 4.0 into 4.0 3.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.453 * [taylor]: Taking taylor expansion of y in x 3.453 * [backup-simplify]: Simplify y into y 3.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.453 * [taylor]: Taking taylor expansion of x in x 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.453 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.453 * [taylor]: Taking taylor expansion of 4.0 in x 3.453 * [backup-simplify]: Simplify 4.0 into 4.0 3.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.453 * [taylor]: Taking taylor expansion of y in x 3.453 * [backup-simplify]: Simplify y into y 3.453 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.453 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.454 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.454 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.454 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.454 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.454 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.454 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 3.455 * [taylor]: Taking taylor expansion of -1.0 in y 3.455 * [backup-simplify]: Simplify -1.0 into -1.0 3.455 * [backup-simplify]: Simplify -1.0 into -1.0 3.455 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.456 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.456 * [backup-simplify]: Simplify (- 0) into 0 3.456 * [backup-simplify]: Simplify (+ 0 0) into 0 3.456 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.457 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.457 * [backup-simplify]: Simplify (+ 0 0) into 0 3.458 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 3.458 * [taylor]: Taking taylor expansion of 0 in y 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (* 1 1) into 1 3.459 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.460 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.460 * [backup-simplify]: Simplify (- 0) into 0 3.460 * [backup-simplify]: Simplify (+ 1 0) into 1 3.461 * [backup-simplify]: Simplify (* 1 1) into 1 3.461 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.462 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.462 * [backup-simplify]: Simplify (+ 1 0) into 1 3.467 * [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))) 3.467 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 3.468 * [taylor]: Taking taylor expansion of 0.5 in y 3.468 * [backup-simplify]: Simplify 0.5 into 0.5 3.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.468 * [taylor]: Taking taylor expansion of y in y 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [backup-simplify]: Simplify (* 1 1) into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.473 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.474 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.476 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.476 * [backup-simplify]: Simplify (- 0) into 0 3.476 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.478 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.479 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.479 * [backup-simplify]: Simplify (+ 0 0) into 0 3.480 * [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 3.480 * [taylor]: Taking taylor expansion of 0 in y 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify -1.0 into -1.0 3.481 * [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))))) 3.481 * [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 3.481 * [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 3.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.481 * [taylor]: Taking taylor expansion of x in y 3.481 * [backup-simplify]: Simplify x into x 3.481 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.481 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.481 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.481 * [taylor]: Taking taylor expansion of 4.0 in y 3.482 * [backup-simplify]: Simplify 4.0 into 4.0 3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.482 * [taylor]: Taking taylor expansion of y in y 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify 1 into 1 3.482 * [backup-simplify]: Simplify (* 1 1) into 1 3.482 * [backup-simplify]: Simplify (/ 1 1) into 1 3.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.483 * [taylor]: Taking taylor expansion of x in y 3.483 * [backup-simplify]: Simplify x into x 3.483 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.483 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.483 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.483 * [taylor]: Taking taylor expansion of 4.0 in y 3.483 * [backup-simplify]: Simplify 4.0 into 4.0 3.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.483 * [taylor]: Taking taylor expansion of y in y 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (* 1 1) into 1 3.484 * [backup-simplify]: Simplify (/ 1 1) into 1 3.484 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.485 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.486 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.486 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.487 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.487 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 3.487 * [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 3.487 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.488 * [taylor]: Taking taylor expansion of x in x 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 1 into 1 3.488 * [backup-simplify]: Simplify (* 1 1) into 1 3.488 * [backup-simplify]: Simplify (/ 1 1) into 1 3.488 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.488 * [taylor]: Taking taylor expansion of 4.0 in x 3.488 * [backup-simplify]: Simplify 4.0 into 4.0 3.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.489 * [taylor]: Taking taylor expansion of y in x 3.489 * [backup-simplify]: Simplify y into y 3.489 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.489 * [taylor]: Taking taylor expansion of x in x 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.489 * [backup-simplify]: Simplify (* 1 1) into 1 3.490 * [backup-simplify]: Simplify (/ 1 1) into 1 3.490 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.490 * [taylor]: Taking taylor expansion of 4.0 in x 3.490 * [backup-simplify]: Simplify 4.0 into 4.0 3.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.490 * [taylor]: Taking taylor expansion of y in x 3.490 * [backup-simplify]: Simplify y into y 3.490 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.490 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.491 * [backup-simplify]: Simplify (+ 1 0) into 1 3.491 * [backup-simplify]: Simplify (+ 1 0) into 1 3.491 * [backup-simplify]: Simplify (/ 1 1) into 1 3.491 * [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 3.492 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.492 * [backup-simplify]: Simplify (/ 1 1) into 1 3.492 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.492 * [taylor]: Taking taylor expansion of 4.0 in x 3.493 * [backup-simplify]: Simplify 4.0 into 4.0 3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.493 * [taylor]: Taking taylor expansion of y in x 3.493 * [backup-simplify]: Simplify y into y 3.493 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.493 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.493 * [taylor]: Taking taylor expansion of x in x 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.494 * [backup-simplify]: Simplify (* 1 1) into 1 3.494 * [backup-simplify]: Simplify (/ 1 1) into 1 3.494 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.494 * [taylor]: Taking taylor expansion of 4.0 in x 3.494 * [backup-simplify]: Simplify 4.0 into 4.0 3.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.494 * [taylor]: Taking taylor expansion of y in x 3.494 * [backup-simplify]: Simplify y into y 3.494 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.495 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.495 * [backup-simplify]: Simplify (+ 1 0) into 1 3.495 * [backup-simplify]: Simplify (+ 1 0) into 1 3.496 * [backup-simplify]: Simplify (/ 1 1) into 1 3.496 * [taylor]: Taking taylor expansion of 1 in y 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.499 * [backup-simplify]: Simplify (+ 0 0) into 0 3.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.500 * [taylor]: Taking taylor expansion of 0 in y 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.503 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.503 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.505 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.505 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.506 * [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)))) 3.506 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.506 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.506 * [taylor]: Taking taylor expansion of 8.0 in y 3.506 * [backup-simplify]: Simplify 8.0 into 8.0 3.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.506 * [taylor]: Taking taylor expansion of y in y 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (* 1 1) into 1 3.507 * [backup-simplify]: Simplify (/ 1 1) into 1 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.510 * [backup-simplify]: Simplify (- 0) into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.512 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.513 * [backup-simplify]: Simplify (- 0) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.515 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.515 * [backup-simplify]: Simplify (+ 0 0) into 0 3.516 * [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 3.516 * [taylor]: Taking taylor expansion of 0 in y 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.517 * [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))))) 3.517 * [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 3.517 * [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 3.517 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.517 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.517 * [taylor]: Taking taylor expansion of x in y 3.517 * [backup-simplify]: Simplify x into x 3.517 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.517 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.517 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.517 * [taylor]: Taking taylor expansion of 4.0 in y 3.517 * [backup-simplify]: Simplify 4.0 into 4.0 3.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.517 * [taylor]: Taking taylor expansion of y in y 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.517 * [backup-simplify]: Simplify (* 1 1) into 1 3.518 * [backup-simplify]: Simplify (/ 1 1) into 1 3.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.518 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.518 * [taylor]: Taking taylor expansion of x in y 3.518 * [backup-simplify]: Simplify x into x 3.518 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.518 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.518 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.518 * [taylor]: Taking taylor expansion of 4.0 in y 3.518 * [backup-simplify]: Simplify 4.0 into 4.0 3.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.518 * [taylor]: Taking taylor expansion of y in y 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (* 1 1) into 1 3.518 * [backup-simplify]: Simplify (/ 1 1) into 1 3.519 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.519 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.519 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.520 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.520 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.521 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 3.521 * [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 3.521 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.521 * [taylor]: Taking taylor expansion of x in x 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 1 into 1 3.521 * [backup-simplify]: Simplify (* 1 1) into 1 3.521 * [backup-simplify]: Simplify (/ 1 1) into 1 3.521 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.521 * [taylor]: Taking taylor expansion of 4.0 in x 3.521 * [backup-simplify]: Simplify 4.0 into 4.0 3.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.521 * [taylor]: Taking taylor expansion of y in x 3.521 * [backup-simplify]: Simplify y into y 3.521 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.521 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.522 * [taylor]: Taking taylor expansion of x in x 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [backup-simplify]: Simplify (* 1 1) into 1 3.522 * [backup-simplify]: Simplify (/ 1 1) into 1 3.522 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.522 * [taylor]: Taking taylor expansion of 4.0 in x 3.522 * [backup-simplify]: Simplify 4.0 into 4.0 3.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.522 * [taylor]: Taking taylor expansion of y in x 3.522 * [backup-simplify]: Simplify y into y 3.522 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.522 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.523 * [backup-simplify]: Simplify (+ 1 0) into 1 3.523 * [backup-simplify]: Simplify (+ 1 0) into 1 3.523 * [backup-simplify]: Simplify (/ 1 1) into 1 3.523 * [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 3.523 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.523 * [taylor]: Taking taylor expansion of x in x 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify 1 into 1 3.523 * [backup-simplify]: Simplify (* 1 1) into 1 3.524 * [backup-simplify]: Simplify (/ 1 1) into 1 3.524 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.524 * [taylor]: Taking taylor expansion of 4.0 in x 3.524 * [backup-simplify]: Simplify 4.0 into 4.0 3.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.524 * [taylor]: Taking taylor expansion of y in x 3.524 * [backup-simplify]: Simplify y into y 3.524 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.524 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.524 * [taylor]: Taking taylor expansion of x in x 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [backup-simplify]: Simplify (* 1 1) into 1 3.525 * [backup-simplify]: Simplify (/ 1 1) into 1 3.525 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.525 * [taylor]: Taking taylor expansion of 4.0 in x 3.525 * [backup-simplify]: Simplify 4.0 into 4.0 3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.525 * [taylor]: Taking taylor expansion of y in x 3.525 * [backup-simplify]: Simplify y into y 3.525 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.525 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.525 * [backup-simplify]: Simplify (+ 1 0) into 1 3.525 * [backup-simplify]: Simplify (+ 1 0) into 1 3.526 * [backup-simplify]: Simplify (/ 1 1) into 1 3.526 * [taylor]: Taking taylor expansion of 1 in y 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.527 * [backup-simplify]: Simplify (+ 0 0) into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.528 * [taylor]: Taking taylor expansion of 0 in y 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.530 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.530 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.531 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.532 * [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)))) 3.532 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.532 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.532 * [taylor]: Taking taylor expansion of 8.0 in y 3.532 * [backup-simplify]: Simplify 8.0 into 8.0 3.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.532 * [taylor]: Taking taylor expansion of y in y 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify 1 into 1 3.532 * [backup-simplify]: Simplify (* 1 1) into 1 3.532 * [backup-simplify]: Simplify (/ 1 1) into 1 3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.535 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.535 * [backup-simplify]: Simplify (- 0) into 0 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.537 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.537 * [backup-simplify]: Simplify (- 0) into 0 3.538 * [backup-simplify]: Simplify (+ 0 0) into 0 3.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.539 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.540 * [backup-simplify]: Simplify (+ 0 0) into 0 3.541 * [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 3.541 * [taylor]: Taking taylor expansion of 0 in y 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.541 * [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)))) 3.541 * [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 3.541 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.541 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 3.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.541 * [taylor]: Taking taylor expansion of x in y 3.541 * [backup-simplify]: Simplify x into x 3.541 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.541 * [taylor]: Taking taylor expansion of 4.0 in y 3.541 * [backup-simplify]: Simplify 4.0 into 4.0 3.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.541 * [taylor]: Taking taylor expansion of y in y 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.541 * [taylor]: Taking taylor expansion of x in y 3.541 * [backup-simplify]: Simplify x into x 3.541 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.541 * [taylor]: Taking taylor expansion of 4.0 in y 3.541 * [backup-simplify]: Simplify 4.0 into 4.0 3.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.542 * [taylor]: Taking taylor expansion of y in y 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.542 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.542 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.542 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.542 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.542 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.542 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.542 * [taylor]: Taking taylor expansion of 4.0 in x 3.542 * [backup-simplify]: Simplify 4.0 into 4.0 3.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.542 * [taylor]: Taking taylor expansion of y in x 3.542 * [backup-simplify]: Simplify y into y 3.542 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.543 * [taylor]: Taking taylor expansion of x in x 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 1 into 1 3.543 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.543 * [taylor]: Taking taylor expansion of 4.0 in x 3.543 * [backup-simplify]: Simplify 4.0 into 4.0 3.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.543 * [taylor]: Taking taylor expansion of y in x 3.543 * [backup-simplify]: Simplify y into y 3.543 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.543 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.543 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.544 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.544 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.544 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.544 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 3.544 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.544 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.544 * [taylor]: Taking taylor expansion of x in x 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.544 * [taylor]: Taking taylor expansion of 4.0 in x 3.544 * [backup-simplify]: Simplify 4.0 into 4.0 3.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.544 * [taylor]: Taking taylor expansion of y in x 3.544 * [backup-simplify]: Simplify y into y 3.544 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.545 * [taylor]: Taking taylor expansion of x in x 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.545 * [taylor]: Taking taylor expansion of 4.0 in x 3.545 * [backup-simplify]: Simplify 4.0 into 4.0 3.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.545 * [taylor]: Taking taylor expansion of y in x 3.545 * [backup-simplify]: Simplify y into y 3.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.545 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.545 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.545 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.545 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.546 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.546 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 3.546 * [taylor]: Taking taylor expansion of -1.0 in y 3.546 * [backup-simplify]: Simplify -1.0 into -1.0 3.546 * [backup-simplify]: Simplify -1.0 into -1.0 3.546 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.547 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.547 * [backup-simplify]: Simplify (- 0) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.548 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.548 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.549 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 3.549 * [taylor]: Taking taylor expansion of 0 in y 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify (* 1 1) into 1 3.550 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.550 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.551 * [backup-simplify]: Simplify (- 0) into 0 3.551 * [backup-simplify]: Simplify (+ 1 0) into 1 3.552 * [backup-simplify]: Simplify (* 1 1) into 1 3.552 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.553 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.554 * [backup-simplify]: Simplify (+ 1 0) into 1 3.554 * [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))) 3.554 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 3.554 * [taylor]: Taking taylor expansion of 0.5 in y 3.554 * [backup-simplify]: Simplify 0.5 into 0.5 3.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.554 * [taylor]: Taking taylor expansion of y in y 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.555 * [backup-simplify]: Simplify (* 1 1) into 1 3.555 * [backup-simplify]: Simplify (/ 1 1) into 1 3.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.560 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.562 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.562 * [backup-simplify]: Simplify (- 0) into 0 3.562 * [backup-simplify]: Simplify (+ 0 0) into 0 3.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.564 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.565 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.565 * [backup-simplify]: Simplify (+ 0 0) into 0 3.566 * [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 3.566 * [taylor]: Taking taylor expansion of 0 in y 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify -1.0 into -1.0 3.567 * [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))))) 3.567 * [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 3.567 * [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 3.567 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.567 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.567 * [taylor]: Taking taylor expansion of x in y 3.567 * [backup-simplify]: Simplify x into x 3.567 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.567 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.567 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.567 * [taylor]: Taking taylor expansion of 4.0 in y 3.567 * [backup-simplify]: Simplify 4.0 into 4.0 3.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.567 * [taylor]: Taking taylor expansion of y in y 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.568 * [backup-simplify]: Simplify (* 1 1) into 1 3.568 * [backup-simplify]: Simplify (/ 1 1) into 1 3.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.568 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.568 * [taylor]: Taking taylor expansion of x in y 3.568 * [backup-simplify]: Simplify x into x 3.568 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.569 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.569 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.569 * [taylor]: Taking taylor expansion of 4.0 in y 3.569 * [backup-simplify]: Simplify 4.0 into 4.0 3.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.569 * [taylor]: Taking taylor expansion of y in y 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (* 1 1) into 1 3.569 * [backup-simplify]: Simplify (/ 1 1) into 1 3.570 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.570 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.570 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.571 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.571 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.572 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 3.572 * [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 3.572 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.572 * [taylor]: Taking taylor expansion of x in x 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [backup-simplify]: Simplify (* 1 1) into 1 3.572 * [backup-simplify]: Simplify (/ 1 1) into 1 3.572 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.572 * [taylor]: Taking taylor expansion of 4.0 in x 3.572 * [backup-simplify]: Simplify 4.0 into 4.0 3.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.572 * [taylor]: Taking taylor expansion of y in x 3.572 * [backup-simplify]: Simplify y into y 3.572 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.573 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.573 * [taylor]: Taking taylor expansion of x in x 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (* 1 1) into 1 3.573 * [backup-simplify]: Simplify (/ 1 1) into 1 3.573 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.573 * [taylor]: Taking taylor expansion of 4.0 in x 3.573 * [backup-simplify]: Simplify 4.0 into 4.0 3.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.573 * [taylor]: Taking taylor expansion of y in x 3.573 * [backup-simplify]: Simplify y into y 3.573 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.573 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.574 * [backup-simplify]: Simplify (+ 1 0) into 1 3.574 * [backup-simplify]: Simplify (+ 1 0) into 1 3.574 * [backup-simplify]: Simplify (/ 1 1) into 1 3.575 * [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 3.575 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.575 * [taylor]: Taking taylor expansion of x in x 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (* 1 1) into 1 3.575 * [backup-simplify]: Simplify (/ 1 1) into 1 3.575 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.575 * [taylor]: Taking taylor expansion of 4.0 in x 3.575 * [backup-simplify]: Simplify 4.0 into 4.0 3.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.575 * [taylor]: Taking taylor expansion of y in x 3.575 * [backup-simplify]: Simplify y into y 3.575 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.575 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.576 * [taylor]: Taking taylor expansion of x in x 3.576 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [backup-simplify]: Simplify (* 1 1) into 1 3.576 * [backup-simplify]: Simplify (/ 1 1) into 1 3.576 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.576 * [taylor]: Taking taylor expansion of 4.0 in x 3.576 * [backup-simplify]: Simplify 4.0 into 4.0 3.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.576 * [taylor]: Taking taylor expansion of y in x 3.576 * [backup-simplify]: Simplify y into y 3.576 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.576 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.577 * [backup-simplify]: Simplify (+ 1 0) into 1 3.577 * [backup-simplify]: Simplify (+ 1 0) into 1 3.577 * [backup-simplify]: Simplify (/ 1 1) into 1 3.577 * [taylor]: Taking taylor expansion of 1 in y 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [backup-simplify]: Simplify 1 into 1 3.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (+ 0 0) into 0 3.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (+ 0 0) into 0 3.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.580 * [taylor]: Taking taylor expansion of 0 in y 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.581 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.581 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.583 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.583 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.583 * [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)))) 3.583 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.583 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.583 * [taylor]: Taking taylor expansion of 8.0 in y 3.583 * [backup-simplify]: Simplify 8.0 into 8.0 3.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.583 * [taylor]: Taking taylor expansion of y in y 3.583 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (* 1 1) into 1 3.584 * [backup-simplify]: Simplify (/ 1 1) into 1 3.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.589 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.589 * [backup-simplify]: Simplify (- 0) into 0 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.591 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.591 * [backup-simplify]: Simplify (- 0) into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.594 * [backup-simplify]: Simplify (+ 0 0) into 0 3.595 * [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 3.595 * [taylor]: Taking taylor expansion of 0 in y 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 1 into 1 3.595 * [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))))) 3.595 * [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 3.595 * [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 3.595 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.595 * [taylor]: Taking taylor expansion of x in y 3.595 * [backup-simplify]: Simplify x into x 3.596 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.596 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.596 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.596 * [taylor]: Taking taylor expansion of 4.0 in y 3.596 * [backup-simplify]: Simplify 4.0 into 4.0 3.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.596 * [taylor]: Taking taylor expansion of y in y 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify 1 into 1 3.596 * [backup-simplify]: Simplify (* 1 1) into 1 3.596 * [backup-simplify]: Simplify (/ 1 1) into 1 3.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.596 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.596 * [taylor]: Taking taylor expansion of x in y 3.596 * [backup-simplify]: Simplify x into x 3.596 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.596 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.596 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.596 * [taylor]: Taking taylor expansion of 4.0 in y 3.597 * [backup-simplify]: Simplify 4.0 into 4.0 3.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.597 * [taylor]: Taking taylor expansion of y in y 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.597 * [backup-simplify]: Simplify (* 1 1) into 1 3.597 * [backup-simplify]: Simplify (/ 1 1) into 1 3.597 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.598 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.599 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.599 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.599 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.600 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 3.600 * [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 3.600 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.600 * [taylor]: Taking taylor expansion of x in x 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (* 1 1) into 1 3.601 * [backup-simplify]: Simplify (/ 1 1) into 1 3.601 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.601 * [taylor]: Taking taylor expansion of 4.0 in x 3.601 * [backup-simplify]: Simplify 4.0 into 4.0 3.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.601 * [taylor]: Taking taylor expansion of y in x 3.601 * [backup-simplify]: Simplify y into y 3.601 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.601 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.602 * [taylor]: Taking taylor expansion of x in x 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (* 1 1) into 1 3.602 * [backup-simplify]: Simplify (/ 1 1) into 1 3.602 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.602 * [taylor]: Taking taylor expansion of 4.0 in x 3.602 * [backup-simplify]: Simplify 4.0 into 4.0 3.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.602 * [taylor]: Taking taylor expansion of y in x 3.603 * [backup-simplify]: Simplify y into y 3.603 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.603 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.603 * [backup-simplify]: Simplify (+ 1 0) into 1 3.603 * [backup-simplify]: Simplify (+ 1 0) into 1 3.604 * [backup-simplify]: Simplify (/ 1 1) into 1 3.604 * [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 3.604 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.604 * [taylor]: Taking taylor expansion of x in x 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (* 1 1) into 1 3.605 * [backup-simplify]: Simplify (/ 1 1) into 1 3.605 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.605 * [taylor]: Taking taylor expansion of 4.0 in x 3.605 * [backup-simplify]: Simplify 4.0 into 4.0 3.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.605 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.605 * [taylor]: Taking taylor expansion of y in x 3.605 * [backup-simplify]: Simplify y into y 3.605 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.605 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.605 * [taylor]: Taking taylor expansion of x in x 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (* 1 1) into 1 3.606 * [backup-simplify]: Simplify (/ 1 1) into 1 3.606 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.606 * [taylor]: Taking taylor expansion of 4.0 in x 3.606 * [backup-simplify]: Simplify 4.0 into 4.0 3.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.606 * [taylor]: Taking taylor expansion of y in x 3.606 * [backup-simplify]: Simplify y into y 3.606 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.606 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.607 * [backup-simplify]: Simplify (+ 1 0) into 1 3.607 * [backup-simplify]: Simplify (+ 1 0) into 1 3.607 * [backup-simplify]: Simplify (/ 1 1) into 1 3.607 * [taylor]: Taking taylor expansion of 1 in y 3.607 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.611 * [taylor]: Taking taylor expansion of 0 in y 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.614 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.614 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.616 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.617 * [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)))) 3.618 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.618 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.618 * [taylor]: Taking taylor expansion of 8.0 in y 3.618 * [backup-simplify]: Simplify 8.0 into 8.0 3.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.618 * [taylor]: Taking taylor expansion of y in y 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (* 1 1) into 1 3.618 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.623 * [backup-simplify]: Simplify (- 0) into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.626 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.627 * [backup-simplify]: Simplify (- 0) into 0 3.627 * [backup-simplify]: Simplify (+ 0 0) into 0 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.630 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.631 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [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 3.633 * [taylor]: Taking taylor expansion of 0 in y 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.633 * [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)))) 3.633 * [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 3.633 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.633 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 3.633 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.633 * [taylor]: Taking taylor expansion of x in y 3.633 * [backup-simplify]: Simplify x into x 3.633 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.633 * [taylor]: Taking taylor expansion of 4.0 in y 3.634 * [backup-simplify]: Simplify 4.0 into 4.0 3.634 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.634 * [taylor]: Taking taylor expansion of y in y 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.634 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.634 * [taylor]: Taking taylor expansion of x in y 3.634 * [backup-simplify]: Simplify x into x 3.634 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.634 * [taylor]: Taking taylor expansion of 4.0 in y 3.634 * [backup-simplify]: Simplify 4.0 into 4.0 3.634 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.634 * [taylor]: Taking taylor expansion of y in y 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.634 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.634 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.634 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.635 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.635 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.635 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.635 * [taylor]: Taking taylor expansion of x in x 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.635 * [taylor]: Taking taylor expansion of 4.0 in x 3.635 * [backup-simplify]: Simplify 4.0 into 4.0 3.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.635 * [taylor]: Taking taylor expansion of y in x 3.635 * [backup-simplify]: Simplify y into y 3.635 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.635 * [taylor]: Taking taylor expansion of x in x 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.635 * [taylor]: Taking taylor expansion of 4.0 in x 3.635 * [backup-simplify]: Simplify 4.0 into 4.0 3.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.635 * [taylor]: Taking taylor expansion of y in x 3.635 * [backup-simplify]: Simplify y into y 3.635 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.635 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.636 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.636 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.636 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.636 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.637 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.637 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 3.637 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.637 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.637 * [taylor]: Taking taylor expansion of x in x 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.637 * [taylor]: Taking taylor expansion of 4.0 in x 3.637 * [backup-simplify]: Simplify 4.0 into 4.0 3.637 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.637 * [taylor]: Taking taylor expansion of y in x 3.637 * [backup-simplify]: Simplify y into y 3.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.637 * [taylor]: Taking taylor expansion of x in x 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.637 * [taylor]: Taking taylor expansion of 4.0 in x 3.637 * [backup-simplify]: Simplify 4.0 into 4.0 3.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.638 * [taylor]: Taking taylor expansion of y in x 3.638 * [backup-simplify]: Simplify y into y 3.638 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.638 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.638 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.638 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.638 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.638 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.639 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.639 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 3.639 * [taylor]: Taking taylor expansion of -1.0 in y 3.639 * [backup-simplify]: Simplify -1.0 into -1.0 3.639 * [backup-simplify]: Simplify -1.0 into -1.0 3.639 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.640 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.640 * [backup-simplify]: Simplify (- 0) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.642 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.642 * [backup-simplify]: Simplify (+ 0 0) into 0 3.643 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 3.643 * [taylor]: Taking taylor expansion of 0 in y 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify (* 1 1) into 1 3.643 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.645 * [backup-simplify]: Simplify (- 0) into 0 3.645 * [backup-simplify]: Simplify (+ 1 0) into 1 3.646 * [backup-simplify]: Simplify (* 1 1) into 1 3.646 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.647 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.648 * [backup-simplify]: Simplify (+ 1 0) into 1 3.648 * [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))) 3.648 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 3.648 * [taylor]: Taking taylor expansion of 0.5 in y 3.648 * [backup-simplify]: Simplify 0.5 into 0.5 3.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.649 * [taylor]: Taking taylor expansion of y in y 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [backup-simplify]: Simplify (* 1 1) into 1 3.649 * [backup-simplify]: Simplify (/ 1 1) into 1 3.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.653 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.653 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.655 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.657 * [backup-simplify]: Simplify (- 0) into 0 3.657 * [backup-simplify]: Simplify (+ 0 0) into 0 3.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.659 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.660 * [backup-simplify]: Simplify (+ 0 0) into 0 3.661 * [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 3.661 * [taylor]: Taking taylor expansion of 0 in y 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify -1.0 into -1.0 3.662 * [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))))) 3.662 * [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 3.662 * [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 3.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.662 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.662 * [taylor]: Taking taylor expansion of x in y 3.662 * [backup-simplify]: Simplify x into x 3.662 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.662 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.662 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.662 * [taylor]: Taking taylor expansion of 4.0 in y 3.662 * [backup-simplify]: Simplify 4.0 into 4.0 3.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.662 * [taylor]: Taking taylor expansion of y in y 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.663 * [backup-simplify]: Simplify (* 1 1) into 1 3.663 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.663 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.663 * [taylor]: Taking taylor expansion of x in y 3.663 * [backup-simplify]: Simplify x into x 3.663 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.663 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.664 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.664 * [taylor]: Taking taylor expansion of 4.0 in y 3.664 * [backup-simplify]: Simplify 4.0 into 4.0 3.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.664 * [taylor]: Taking taylor expansion of y in y 3.664 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify 1 into 1 3.664 * [backup-simplify]: Simplify (* 1 1) into 1 3.664 * [backup-simplify]: Simplify (/ 1 1) into 1 3.665 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.665 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.666 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.667 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.667 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.668 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 3.668 * [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 3.668 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.668 * [taylor]: Taking taylor expansion of x in x 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 1 into 1 3.668 * [backup-simplify]: Simplify (* 1 1) into 1 3.669 * [backup-simplify]: Simplify (/ 1 1) into 1 3.669 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.669 * [taylor]: Taking taylor expansion of 4.0 in x 3.669 * [backup-simplify]: Simplify 4.0 into 4.0 3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.669 * [taylor]: Taking taylor expansion of y in x 3.669 * [backup-simplify]: Simplify y into y 3.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.669 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (* 1 1) into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.670 * [taylor]: Taking taylor expansion of 4.0 in x 3.670 * [backup-simplify]: Simplify 4.0 into 4.0 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.670 * [taylor]: Taking taylor expansion of y in x 3.670 * [backup-simplify]: Simplify y into y 3.670 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.671 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.671 * [backup-simplify]: Simplify (+ 1 0) into 1 3.672 * [backup-simplify]: Simplify (+ 1 0) into 1 3.672 * [backup-simplify]: Simplify (/ 1 1) into 1 3.672 * [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 3.672 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.672 * [taylor]: Taking taylor expansion of x in x 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (* 1 1) into 1 3.673 * [backup-simplify]: Simplify (/ 1 1) into 1 3.673 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.673 * [taylor]: Taking taylor expansion of 4.0 in x 3.673 * [backup-simplify]: Simplify 4.0 into 4.0 3.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.673 * [taylor]: Taking taylor expansion of y in x 3.673 * [backup-simplify]: Simplify y into y 3.673 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.674 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.674 * [taylor]: Taking taylor expansion of x in x 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [backup-simplify]: Simplify (* 1 1) into 1 3.674 * [backup-simplify]: Simplify (/ 1 1) into 1 3.675 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.675 * [taylor]: Taking taylor expansion of 4.0 in x 3.675 * [backup-simplify]: Simplify 4.0 into 4.0 3.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.675 * [taylor]: Taking taylor expansion of y in x 3.675 * [backup-simplify]: Simplify y into y 3.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.675 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.675 * [backup-simplify]: Simplify (+ 1 0) into 1 3.676 * [backup-simplify]: Simplify (+ 1 0) into 1 3.676 * [backup-simplify]: Simplify (/ 1 1) into 1 3.676 * [taylor]: Taking taylor expansion of 1 in y 3.676 * [backup-simplify]: Simplify 1 into 1 3.676 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.680 * [taylor]: Taking taylor expansion of 0 in y 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.683 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.683 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.685 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.686 * [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)))) 3.686 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.686 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.686 * [taylor]: Taking taylor expansion of 8.0 in y 3.686 * [backup-simplify]: Simplify 8.0 into 8.0 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.686 * [taylor]: Taking taylor expansion of y in y 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (* 1 1) into 1 3.687 * [backup-simplify]: Simplify (/ 1 1) into 1 3.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.692 * [backup-simplify]: Simplify (- 0) into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.695 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.696 * [backup-simplify]: Simplify (- 0) into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.699 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [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 3.701 * [taylor]: Taking taylor expansion of 0 in y 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.702 * [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))))) 3.702 * [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 3.702 * [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 3.702 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.702 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.702 * [taylor]: Taking taylor expansion of x in y 3.702 * [backup-simplify]: Simplify x into x 3.702 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.702 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.702 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.702 * [taylor]: Taking taylor expansion of 4.0 in y 3.702 * [backup-simplify]: Simplify 4.0 into 4.0 3.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.703 * [taylor]: Taking taylor expansion of y in y 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (* 1 1) into 1 3.703 * [backup-simplify]: Simplify (/ 1 1) into 1 3.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.703 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.704 * [taylor]: Taking taylor expansion of x in y 3.704 * [backup-simplify]: Simplify x into x 3.704 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.704 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.704 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.704 * [taylor]: Taking taylor expansion of 4.0 in y 3.704 * [backup-simplify]: Simplify 4.0 into 4.0 3.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.704 * [taylor]: Taking taylor expansion of y in y 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.705 * [backup-simplify]: Simplify (/ 1 1) into 1 3.705 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.706 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.706 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.707 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.707 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.708 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 3.708 * [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 3.708 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.708 * [taylor]: Taking taylor expansion of x in x 3.708 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.709 * [backup-simplify]: Simplify (* 1 1) into 1 3.709 * [backup-simplify]: Simplify (/ 1 1) into 1 3.709 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.709 * [taylor]: Taking taylor expansion of 4.0 in x 3.709 * [backup-simplify]: Simplify 4.0 into 4.0 3.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.709 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.709 * [taylor]: Taking taylor expansion of y in x 3.709 * [backup-simplify]: Simplify y into y 3.710 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.710 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.710 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.710 * [taylor]: Taking taylor expansion of x in x 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (* 1 1) into 1 3.711 * [backup-simplify]: Simplify (/ 1 1) into 1 3.711 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.711 * [taylor]: Taking taylor expansion of 4.0 in x 3.711 * [backup-simplify]: Simplify 4.0 into 4.0 3.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.711 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.711 * [taylor]: Taking taylor expansion of y in x 3.711 * [backup-simplify]: Simplify y into y 3.711 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.711 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.712 * [backup-simplify]: Simplify (+ 1 0) into 1 3.712 * [backup-simplify]: Simplify (+ 1 0) into 1 3.712 * [backup-simplify]: Simplify (/ 1 1) into 1 3.712 * [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 3.712 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.713 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.713 * [taylor]: Taking taylor expansion of x in x 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (* 1 1) into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.713 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.713 * [taylor]: Taking taylor expansion of 4.0 in x 3.713 * [backup-simplify]: Simplify 4.0 into 4.0 3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.713 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.713 * [taylor]: Taking taylor expansion of y in x 3.713 * [backup-simplify]: Simplify y into y 3.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.714 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.714 * [taylor]: Taking taylor expansion of x in x 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.714 * [backup-simplify]: Simplify (* 1 1) into 1 3.714 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.714 * [taylor]: Taking taylor expansion of 4.0 in x 3.714 * [backup-simplify]: Simplify 4.0 into 4.0 3.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.714 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.714 * [taylor]: Taking taylor expansion of y in x 3.714 * [backup-simplify]: Simplify y into y 3.715 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.715 * [backup-simplify]: Simplify (+ 1 0) into 1 3.715 * [backup-simplify]: Simplify (+ 1 0) into 1 3.715 * [backup-simplify]: Simplify (/ 1 1) into 1 3.715 * [taylor]: Taking taylor expansion of 1 in y 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify 1 into 1 3.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ 0 0) into 0 3.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 3.718 * [taylor]: Taking taylor expansion of 0 in y 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.719 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.720 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.721 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.722 * [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)))) 3.722 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.722 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.722 * [taylor]: Taking taylor expansion of 8.0 in y 3.722 * [backup-simplify]: Simplify 8.0 into 8.0 3.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.722 * [taylor]: Taking taylor expansion of y in y 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 1 into 1 3.722 * [backup-simplify]: Simplify (* 1 1) into 1 3.722 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.725 * [backup-simplify]: Simplify (- 0) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.729 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.729 * [backup-simplify]: Simplify (- 0) into 0 3.730 * [backup-simplify]: Simplify (+ 0 0) into 0 3.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.731 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.732 * [backup-simplify]: Simplify (+ 0 0) into 0 3.733 * [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 3.733 * [taylor]: Taking taylor expansion of 0 in y 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.733 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.733 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 3.733 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 3.733 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 3.733 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.733 * [taylor]: Taking taylor expansion of x in y 3.733 * [backup-simplify]: Simplify x into x 3.733 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.733 * [taylor]: Taking taylor expansion of 4.0 in y 3.733 * [backup-simplify]: Simplify 4.0 into 4.0 3.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.733 * [taylor]: Taking taylor expansion of y in y 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.733 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.733 * [taylor]: Taking taylor expansion of x in x 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.733 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.733 * [taylor]: Taking taylor expansion of 4.0 in x 3.733 * [backup-simplify]: Simplify 4.0 into 4.0 3.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.733 * [taylor]: Taking taylor expansion of y in x 3.734 * [backup-simplify]: Simplify y into y 3.734 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.734 * [taylor]: Taking taylor expansion of x in x 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.734 * [taylor]: Taking taylor expansion of 4.0 in x 3.734 * [backup-simplify]: Simplify 4.0 into 4.0 3.734 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.734 * [taylor]: Taking taylor expansion of y in x 3.734 * [backup-simplify]: Simplify y into y 3.734 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.734 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.734 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.734 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.734 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 3.734 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.734 * [taylor]: Taking taylor expansion of 4.0 in y 3.734 * [backup-simplify]: Simplify 4.0 into 4.0 3.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.734 * [taylor]: Taking taylor expansion of y in y 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.735 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.735 * [backup-simplify]: Simplify (- 0) into 0 3.735 * [backup-simplify]: Simplify (+ 0 0) into 0 3.735 * [taylor]: Taking taylor expansion of 0 in y 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify (* 1 1) into 1 3.736 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.736 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.737 * [backup-simplify]: Simplify (- 0) into 0 3.737 * [backup-simplify]: Simplify (+ 1 0) into 1 3.737 * [taylor]: Taking taylor expansion of 1 in y 3.737 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify (* 1 1) into 1 3.737 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.738 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.738 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.739 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.740 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.740 * [backup-simplify]: Simplify (- 0) into 0 3.740 * [backup-simplify]: Simplify (+ 0 0) into 0 3.740 * [taylor]: Taking taylor expansion of 0 in y 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.741 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.741 * [backup-simplify]: Simplify (- 0) into 0 3.741 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.742 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.743 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 3.744 * [backup-simplify]: Simplify (- 0) into 0 3.744 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [taylor]: Taking taylor expansion of 0 in y 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 3.745 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 3.745 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 3.745 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.745 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.745 * [taylor]: Taking taylor expansion of x in y 3.745 * [backup-simplify]: Simplify x into x 3.745 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.745 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.745 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.745 * [taylor]: Taking taylor expansion of 4.0 in y 3.745 * [backup-simplify]: Simplify 4.0 into 4.0 3.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.745 * [taylor]: Taking taylor expansion of y in y 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify 1 into 1 3.746 * [backup-simplify]: Simplify (* 1 1) into 1 3.746 * [backup-simplify]: Simplify (/ 1 1) into 1 3.746 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.746 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.746 * [taylor]: Taking taylor expansion of x in x 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (* 1 1) into 1 3.747 * [backup-simplify]: Simplify (/ 1 1) into 1 3.747 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.747 * [taylor]: Taking taylor expansion of 4.0 in x 3.747 * [backup-simplify]: Simplify 4.0 into 4.0 3.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.747 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.747 * [taylor]: Taking taylor expansion of y in x 3.747 * [backup-simplify]: Simplify y into y 3.747 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.748 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.748 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.748 * [taylor]: Taking taylor expansion of x in x 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 1 into 1 3.748 * [backup-simplify]: Simplify (* 1 1) into 1 3.748 * [backup-simplify]: Simplify (/ 1 1) into 1 3.748 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.749 * [taylor]: Taking taylor expansion of 4.0 in x 3.749 * [backup-simplify]: Simplify 4.0 into 4.0 3.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.749 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.749 * [taylor]: Taking taylor expansion of y in x 3.749 * [backup-simplify]: Simplify y into y 3.749 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.749 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.749 * [backup-simplify]: Simplify (+ 1 0) into 1 3.749 * [taylor]: Taking taylor expansion of 1 in y 3.749 * [backup-simplify]: Simplify 1 into 1 3.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.751 * [backup-simplify]: Simplify (+ 0 0) into 0 3.751 * [taylor]: Taking taylor expansion of 0 in y 3.751 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.754 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.754 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.754 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 3.754 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.754 * [taylor]: Taking taylor expansion of 4.0 in y 3.754 * [backup-simplify]: Simplify 4.0 into 4.0 3.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.754 * [taylor]: Taking taylor expansion of y in y 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (* 1 1) into 1 3.755 * [backup-simplify]: Simplify (/ 1 1) into 1 3.755 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.756 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.756 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.756 * [backup-simplify]: Simplify 1 into 1 3.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.758 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.760 * [backup-simplify]: Simplify (- 0) into 0 3.760 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [taylor]: Taking taylor expansion of 0 in y 3.760 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.763 * [backup-simplify]: Simplify (- 0) into 0 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.765 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.767 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.767 * [backup-simplify]: Simplify (- 0) into 0 3.768 * [backup-simplify]: Simplify (+ 0 0) into 0 3.768 * [taylor]: Taking taylor expansion of 0 in y 3.768 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.771 * [backup-simplify]: Simplify (- 0) into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.772 * [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))) 3.772 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 3.772 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 3.772 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.772 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.772 * [taylor]: Taking taylor expansion of x in y 3.772 * [backup-simplify]: Simplify x into x 3.772 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.773 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.773 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.773 * [taylor]: Taking taylor expansion of 4.0 in y 3.773 * [backup-simplify]: Simplify 4.0 into 4.0 3.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.773 * [taylor]: Taking taylor expansion of y in y 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (* 1 1) into 1 3.774 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.774 * [taylor]: Taking taylor expansion of x in x 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (* 1 1) into 1 3.775 * [backup-simplify]: Simplify (/ 1 1) into 1 3.775 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.775 * [taylor]: Taking taylor expansion of 4.0 in x 3.775 * [backup-simplify]: Simplify 4.0 into 4.0 3.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.775 * [taylor]: Taking taylor expansion of y in x 3.775 * [backup-simplify]: Simplify y into y 3.775 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.775 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.775 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.775 * [taylor]: Taking taylor expansion of x in x 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (* 1 1) into 1 3.776 * [backup-simplify]: Simplify (/ 1 1) into 1 3.776 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.776 * [taylor]: Taking taylor expansion of 4.0 in x 3.776 * [backup-simplify]: Simplify 4.0 into 4.0 3.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.776 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.776 * [taylor]: Taking taylor expansion of y in x 3.776 * [backup-simplify]: Simplify y into y 3.776 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.776 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.777 * [backup-simplify]: Simplify (+ 1 0) into 1 3.777 * [taylor]: Taking taylor expansion of 1 in y 3.777 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ 0 0) into 0 3.779 * [taylor]: Taking taylor expansion of 0 in y 3.779 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.781 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.781 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.781 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 3.782 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.782 * [taylor]: Taking taylor expansion of 4.0 in y 3.782 * [backup-simplify]: Simplify 4.0 into 4.0 3.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.782 * [taylor]: Taking taylor expansion of y in y 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (* 1 1) into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.783 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.783 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.784 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.784 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.787 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.787 * [backup-simplify]: Simplify (- 0) into 0 3.788 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [taylor]: Taking taylor expansion of 0 in y 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.790 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.790 * [backup-simplify]: Simplify (- 0) into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.794 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.795 * [backup-simplify]: Simplify (- 0) into 0 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [taylor]: Taking taylor expansion of 0 in y 3.795 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.798 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.798 * [backup-simplify]: Simplify (- 0) into 0 3.798 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.800 * [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))) 3.800 * * * [progress]: simplifying candidates 3.804 * [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))) (- (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) 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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 -1.0 1 1 -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))) 3.811 * * [simplify]: Extracting # 0 : cost 0 3.811 * * [simplify]: Extracting # 1 : cost 0 3.811 * * [simplify]: Extracting # 2 : cost 0 3.811 * * [simplify]: Extracting # 3 : cost 0 3.811 * * [simplify]: Extracting # 4 : cost 0 3.812 * * [simplify]: Extracting # 5 : cost 0 3.812 * * [simplify]: Extracting # 6 : cost 0 3.812 * * [simplify]: Extracting # 7 : cost 0 3.812 * * [simplify]: iteration 0 : 82 enodes (cost 3148 ) 3.849 * * [simplify]: Extracting # 0 : cost 0 3.850 * * [simplify]: Extracting # 1 : cost 0 3.850 * * [simplify]: Extracting # 2 : cost 0 3.851 * * [simplify]: Extracting # 3 : cost 0 3.851 * * [simplify]: Extracting # 4 : cost 0 3.852 * * [simplify]: iteration 1 : 220 enodes (cost 3096 ) 4.018 * * [simplify]: Extracting # 0 : cost 0 4.020 * * [simplify]: Extracting # 1 : cost 0 4.021 * * [simplify]: Extracting # 2 : cost 0 4.023 * * [simplify]: Extracting # 3 : cost 0 4.024 * * [simplify]: Extracting # 4 : cost 0 4.026 * * [simplify]: iteration 2 : 738 enodes (cost 2810 ) 4.592 * * [simplify]: Extracting # 0 : cost 0 4.599 * * [simplify]: Extracting # 1 : cost 0 4.613 * * [simplify]: Extracting # 2 : cost 0 4.619 * * [simplify]: Extracting # 3 : cost 0 4.623 * * [simplify]: Extracting # 4 : cost 0 4.626 * * [simplify]: iteration 3 : 2712 enodes (cost 2802 ) 6.809 * * [simplify]: Extracting # 0 : cost 0 6.816 * * [simplify]: Extracting # 1 : cost 0 6.822 * * [simplify]: Extracting # 2 : cost 0 6.827 * * [simplify]: Extracting # 3 : cost 0 6.833 * * [simplify]: Extracting # 4 : cost 0 6.843 * * [simplify]: iteration done: 5000 enodes (cost 2764 ) 6.844 * [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))) (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)) (/ (+ (* 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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 -1.0 1 1 -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) 6.852 * * * [progress]: adding candidates to table 7.479 * * [progress]: iteration 4 / 4 7.479 * * * [progress]: picking best candidate 7.480 * * * * [pick]: Picked # 7.480 * * * [progress]: localizing error 7.483 * * * [progress]: generating rewritten candidates 7.483 * * * [progress]: generating series expansions 7.483 * * * [progress]: simplifying candidates 7.484 * [simplify]: Simplifying: 7.484 * * [simplify]: Extracting # 0 : cost 0 7.484 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 7.484 * * [simplify]: Extracting # 0 : cost 0 7.484 * * [simplify]: iteration done: 0 enodes (cost 0 ) 7.484 * [simplify]: Simplified to: 7.484 * * * [progress]: adding candidates to table 7.484 * [progress]: [Phase 3 of 3] Extracting. 7.484 * * [regime]: Finding splitpoints for: (# # # #) 7.485 * * * [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) 7.485 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # #) 7.529 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 7.576 * * * * [regimes]: Trying to branch on (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) from (# # # #) 7.610 * * * * [regimes]: Trying to branch on y from (# # # #) 7.665 * * * * [regimes]: Trying to branch on x from (# # # #) 7.724 * * * [regime]: Found split indices: #