* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (+ (* y (* 2.0 x)) (+ (* y y) (* x x))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in y * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in y * [misc]taylor: Taking taylor expansion of (* x x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in y * [misc]taylor: Taking taylor expansion of (* x 2.0) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* y y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in x * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* y y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in x * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* y y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2.0) into 0 * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* y y) into (sqr y) * [misc]backup-simplify: Simplify (+ 0 (sqr y)) into (sqr y) * [misc]taylor: Taking taylor expansion of (sqr y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ (* y 0) (* 0 y)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) * [misc]taylor: Taking taylor expansion of (* 2.0 y) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* y 1))) (+ (* 2.0 (* y x)) (* 1 (sqr (* 1 x))))) into (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))) * [misc]approximate: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 2.0) into 2.0 * [misc]backup-simplify: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr y))) into (/ 1 (sqr y)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr y)) in y * [misc]taylor: Taking taylor expansion of (sqr y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 x))))) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (sqr (* (/ 1 (/ 1 y)) 1))))) into (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))) * [misc]approximate: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (* -1 2.0) into -2.0 * [misc]backup-simplify: Simplify (* -2.0 (/ -1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (* 0 (/ -1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr y))) into (/ 1 (sqr y)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr y)) in y * [misc]taylor: Taking taylor expansion of (sqr y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- x)))))) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (sqr (* (/ 1 (/ 1 (- y))) 1))))) into (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in y * [misc]taylor: Taking taylor expansion of (* x x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in y * [misc]taylor: Taking taylor expansion of (* x 2.0) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2.0) into 0 * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) * [misc]taylor: Taking taylor expansion of (* 2.0 y) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 0) (* 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 (* y x)) (* 1 (sqr (* 1 x)))) into (+ (sqr x) (* 2.0 (* y x))) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 2.0) into 2.0 * [misc]backup-simplify: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 x))))) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (sqr x) (* 2.0 (* y x))) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (* -1 2.0) into -2.0 * [misc]backup-simplify: Simplify (* -2.0 (/ -1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (* 0 (/ -1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- x)))))) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (sqr x) (* 2.0 (* y x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (+ (sqr y) (* x x)) (* 2.0 (* y x))) * * * * [misc]progress: [ 2 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (+ (sqr y) (* x x)) (* 2.0 (* y x))) * * * * [misc]progress: [ 3 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (+ (sqr y) (* x x)) (* 2.0 (* y x))) * * * * [misc]progress: [ 4 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (sqr x) (* 2.0 (* y x))) (* y y)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (* x (* 2.0 y)) (+ (* y y) (* x x))) * * * * [misc]progress: [ 5 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (sqr x) (* 2.0 (* y x))) (* y y)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (* x (* 2.0 y)) (+ (* y y) (* x x))) * * * * [misc]progress: [ 6 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (sqr x) (* 2.0 (* y x))) (* y y)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (* x (* 2.0 y)) (+ (* y y) (* x x))) * * * * [misc]progress: [ 7 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (exp (+ (+ (sqr y) (* x x)) (* (* x 2.0) y))) * [exit]simplify: Simplified to (exp (+ (+ (sqr y) (* x x)) (* (* x 2.0) y))) * * * * [misc]progress: [ 8 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (exp (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (exp (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 9 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (log (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (log (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 11 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (exp (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * [exit]simplify: Simplified to (exp (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * * * * [misc]progress: [ 12 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (cbrt (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (cbrt (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 13 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (cube (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (cube (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 14 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (sqrt (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (sqrt (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 15 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (+ (cube (* (+ x (* 2.0 y)) x)) (sqr (cube y))) * [exit]simplify: Simplified to (+ (cube (* (+ x (* 2.0 y)) x)) (sqr (cube y))) * [enter]simplify: Simplifying (+ (sqr (+ (* x x) (* (* x 2.0) y))) (- (sqr (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (481 enodes) * [exit]simplify: Simplified to (+ (sqr (* (+ x (* 2.0 y)) x)) (- (sqr (* y y)) (* (+ x (* 2.0 y)) (* (* y y) x)))) * [exit]simplify: Simplified to (+ (sqr (* (+ x (* 2.0 y)) x)) (- (sqr (* y y)) (* (+ x (* 2.0 y)) (* (* y y) x)))) * * * * [misc]progress: [ 16 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (+ (* x x) (* (* x 2.0) y))) (sqr (* y y))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (* (- (* y (* 2.0 x)) (- (* y y) (* x x))) (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * [exit]simplify: Simplified to (* (- (* y (* 2.0 x)) (- (* y y) (* x x))) (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * [enter]simplify: Simplifying (- (+ (* x x) (* (* x 2.0) y)) (* y y)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (* y (* 2.0 x)) (- (* y y) (* x x))) * [exit]simplify: Simplified to (- (* y (* 2.0 x)) (- (* y y) (* x x))) * * * * [misc]progress: [ 18 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* x 2.0) y) (* y y)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* y (+ (* 2.0 x) y)) * [exit]simplify: Simplified to (* y (+ (* 2.0 x) y)) * * * * [misc]progress: [ 19 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* x x)) (exp (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (pow (exp x) (+ x (* 2.0 y))) * [exit]simplify: Simplified to (pow (exp x) (+ x (* 2.0 y))) * * * * [misc]progress: [ 21 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* x x) (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (log (* x (+ (* 2.0 y) x))) * [exit]simplify: Simplified to (log (* x (+ (* 2.0 y) x))) * * * * [misc]progress: [ 23 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* x x) (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (pow (exp x) (+ x (* 2.0 y))) * [exit]simplify: Simplified to (pow (exp x) (+ x (* 2.0 y))) * * * * [misc]progress: [ 24 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* x x) (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (cbrt (* x (+ (* 2.0 y) x))) * [exit]simplify: Simplified to (cbrt (* x (+ (* 2.0 y) x))) * * * * [misc]progress: [ 25 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* x x) (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (cube (* x (+ (* 2.0 y) x))) * [exit]simplify: Simplified to (cube (* x (+ (* 2.0 y) x))) * * * * [misc]progress: [ 26 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* x x) (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (* x (+ (* 2.0 y) x))) * [exit]simplify: Simplified to (sqrt (* x (+ (* 2.0 y) x))) * * * * [misc]progress: [ 27 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (+ (cube (* y 2.0)) (cube x)) (cube x)) * [exit]simplify: Simplified to (* (+ (cube (* y 2.0)) (cube x)) (cube x)) * [enter]simplify: Simplifying (+ (sqr (* x x)) (- (sqr (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (+ (sqr (* (* x 2.0) y)) (* (cube x) (- x (* 2.0 y)))) * [exit]simplify: Simplified to (+ (sqr (* (* x 2.0) y)) (* (cube x) (- x (* 2.0 y)))) * * * * [misc]progress: [ 28 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* x x)) (sqr (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (* x x) (* (- x (* 2.0 y)) (+ x (* 2.0 y)))) * [exit]simplify: Simplified to (* (* x x) (* (- x (* 2.0 y)) (+ x (* 2.0 y)))) * [enter]simplify: Simplifying (- (* x x) (* (* x 2.0) y)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (* x (- x (* 2.0 y))) * [exit]simplify: Simplified to (* x (- x (* 2.0 y))) * * * * [misc]progress: [ 30 / 30 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) in y * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in y * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in y * [misc]taylor: Taking taylor expansion of (* x x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in y * [misc]taylor: Taking taylor expansion of (* x 2.0) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* y y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x x) into (sqr x) * [misc]backup-simplify: Simplify (* x 2.0) into (* 2.0 x) * [misc]backup-simplify: Simplify (* (* 2.0 x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr x) 0) into (sqr x) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr x) 0) into (sqr x) * [misc]backup-simplify: Simplify (sqrt (sqr x)) into x * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2.0 x) 1) (* 0 0)) into (* 2.0 x) * [misc]backup-simplify: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) * [misc]backup-simplify: Simplify (/ (* 2.0 x) (* 2 (sqrt (sqr x)))) into 1.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in x * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* y y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2.0) into 0 * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* y y) into (sqr y) * [misc]backup-simplify: Simplify (+ 0 (sqr y)) into (sqr y) * [misc]backup-simplify: Simplify (sqrt (sqr y)) into y * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ (* y 0) (* 0 y)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) * [misc]backup-simplify: Simplify (/ (* 2.0 y) (* 2 (sqrt (sqr y)))) into 1.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in x * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* y y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2.0) into 0 * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* y y) into (sqr y) * [misc]backup-simplify: Simplify (+ 0 (sqr y)) into (sqr y) * [misc]backup-simplify: Simplify (sqrt (sqr y)) into y * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ (* y 0) (* 0 y)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) * [misc]backup-simplify: Simplify (/ (* 2.0 y) (* 2 (sqrt (sqr y)))) into 1.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 1.0) (+)) (* 2 y)) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 0) (* 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 y)) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* y 1)) (* 1.0 (* 1 x))) into (+ y (* 1.0 x)) * [misc]approximate: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 2.0) into (/ 2.0 x) * [misc]backup-simplify: Simplify (* (/ 2.0 x) 1) into (/ 2.0 x) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 x)) 0) into (* 2.0 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 2.0) into 2.0 * [misc]backup-simplify: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 2.0) into 2.0 * [misc]backup-simplify: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1.0 y) in y * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1.0 1) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr y))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (sqr y)) (sqr (/ 1.0 y)) (+)) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1.0 (* (/ 1 (/ 1 y)) 1))) into (+ (* 1.0 y) x) * [misc]approximate: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) in y * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 x) 2.0) into (/ -2.0 x) * [misc]backup-simplify: Simplify (* (/ -2.0 x) -1) into (/ 2.0 x) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 x)) 0) into (* 2.0 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (* -1 2.0) into -2.0 * [misc]backup-simplify: Simplify (* -2.0 (/ -1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (* -1 2.0) into -2.0 * [misc]backup-simplify: Simplify (* -2.0 (/ -1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1.0 y) in y * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1.0 1) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (* 0 (/ -1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr y))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (sqr y)) (sqr (/ 1.0 y)) (+)) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1.0 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ (* 1.0 y) x)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) in y * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in y * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in y * [misc]taylor: Taking taylor expansion of (* x x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in y * [misc]taylor: Taking taylor expansion of (* x 2.0) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* y y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x x) into (sqr x) * [misc]backup-simplify: Simplify (* x 2.0) into (* 2.0 x) * [misc]backup-simplify: Simplify (* (* 2.0 x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr x) 0) into (sqr x) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr x) 0) into (sqr x) * [misc]backup-simplify: Simplify (sqrt (sqr x)) into x * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2.0 x) 1) (* 0 0)) into (* 2.0 x) * [misc]backup-simplify: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) * [misc]backup-simplify: Simplify (/ (* 2.0 x) (* 2 (sqrt (sqr x)))) into 1.0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in x * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* y y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2.0) into 0 * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* y y) into (sqr y) * [misc]backup-simplify: Simplify (+ 0 (sqr y)) into (sqr y) * [misc]backup-simplify: Simplify (sqrt (sqr y)) into y * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ (* y 0) (* 0 y)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) * [misc]backup-simplify: Simplify (/ (* 2.0 y) (* 2 (sqrt (sqr y)))) into 1.0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in x * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* y y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2.0) into 0 * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* y y) into (sqr y) * [misc]backup-simplify: Simplify (+ 0 (sqr y)) into (sqr y) * [misc]backup-simplify: Simplify (sqrt (sqr y)) into y * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ (* y 0) (* 0 y)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) * [misc]backup-simplify: Simplify (/ (* 2.0 y) (* 2 (sqrt (sqr y)))) into 1.0 * [misc]backup-simplify: Simplify (* y y) into (sqr y) * [misc]taylor: Taking taylor expansion of (sqr y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* y 1.0) (* 1.0 y)) into (* 2.0 y) * [misc]taylor: Taking taylor expansion of (* 2.0 y) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 1.0) (+)) (* 2 y)) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 1.0 1.0) (* 0 y))) into 1.0 * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* y 1))) (+ (* 2.0 (* y x)) (* 1.0 (sqr (* 1 x))))) into (+ (* 1.0 (sqr x)) (+ (sqr y) (* 2.0 (* y x)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 2.0) into (/ 2.0 x) * [misc]backup-simplify: Simplify (* (/ 2.0 x) 1) into (/ 2.0 x) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 x)) 0) into (* 2.0 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 2.0) into 2.0 * [misc]backup-simplify: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 2.0) into 2.0 * [misc]backup-simplify: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1.0 y)) (* (/ 1.0 y) 1)) into (* 2.0 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr y))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (sqr y)) (sqr (/ 1.0 y)) (+)) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1.0 y) (/ 1.0 y)) (* 0 1))) into (* 1.0 (/ 1 (sqr y))) * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr y)) in y * [misc]taylor: Taking taylor expansion of (sqr y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 x))))) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1.0 (sqr (* (/ 1 (/ 1 y)) 1))))) into (+ (sqr x) (+ (* 1.0 (sqr y)) (* 2.0 (* y x)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) in y * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 x) 2.0) into (/ -2.0 x) * [misc]backup-simplify: Simplify (* (/ -2.0 x) -1) into (/ 2.0 x) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 x)) 0) into (* 2.0 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (* -1 2.0) into -2.0 * [misc]backup-simplify: Simplify (* -2.0 (/ -1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (* -1 2.0) into -2.0 * [misc]backup-simplify: Simplify (* -2.0 (/ -1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1.0 y)) (* (/ 1.0 y) 1)) into (* 2.0 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (* 0 (/ -1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr y))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (sqr y)) (sqr (/ 1.0 y)) (+)) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1.0 y) (/ 1.0 y)) (* 0 1))) into (* 1.0 (/ 1 (sqr y))) * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr y)) in y * [misc]taylor: Taking taylor expansion of (sqr y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- x)))))) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1.0 (sqr (* (/ 1 (/ 1 (- y))) 1))))) into (+ (sqr x) (+ (* 1.0 (sqr y)) (* 2.0 (* y x)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in y * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in y * [misc]taylor: Taking taylor expansion of (* x x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in y * [misc]taylor: Taking taylor expansion of (* x 2.0) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* y y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in x * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* y y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) in x * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* y y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2.0) into 0 * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* y y) into (sqr y) * [misc]backup-simplify: Simplify (+ 0 (sqr y)) into (sqr y) * [misc]taylor: Taking taylor expansion of (sqr y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ (* y 0) (* 0 y)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) * [misc]taylor: Taking taylor expansion of (* 2.0 y) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* y 1))) (+ (* 2.0 (* y x)) (* 1 (sqr (* 1 x))))) into (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))) * [misc]approximate: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 2.0) into 2.0 * [misc]backup-simplify: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr y))) into (/ 1 (sqr y)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr y)) in y * [misc]taylor: Taking taylor expansion of (sqr y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 x))))) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (sqr (* (/ 1 (/ 1 y)) 1))))) into (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))) * [misc]approximate: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (* -1 2.0) into -2.0 * [misc]backup-simplify: Simplify (* -2.0 (/ -1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (* 0 (/ -1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr y))) into (/ 1 (sqr y)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr y)) in y * [misc]taylor: Taking taylor expansion of (sqr y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- x)))))) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (sqr (* (/ 1 (/ 1 (- y))) 1))))) into (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in y * [misc]taylor: Taking taylor expansion of (* x x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in y * [misc]taylor: Taking taylor expansion of (* x 2.0) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (+ (* x x) (* (* x 2.0) y)) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x 2.0) y) in x * [misc]taylor: Taking taylor expansion of (* x 2.0) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 2.0) into 0 * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2.0 y)) into (* 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) * [misc]taylor: Taking taylor expansion of (* 2.0 y) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 0) (* 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 (* y x)) (* 1 (sqr (* 1 x)))) into (+ (sqr x) (* 2.0 (* y x))) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) 2.0) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 2.0) into 2.0 * [misc]backup-simplify: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 x))))) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (sqr x) (* 2.0 (* y x))) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) 2.0) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (* -1 2.0) into -2.0 * [misc]backup-simplify: Simplify (* -2.0 (/ -1 y)) into (/ 2.0 y) * [misc]backup-simplify: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2.0)) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (* 0 (/ -1 y))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- x)))))) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (sqr x) (* 2.0 (* y x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (+ y (* 1.0 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (+ (* x 1.0) y) (+ (* x 1.0) y)) * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (+ (* 1.0 y) x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (+ (* y 1.0) x) (+ (* y 1.0) x)) * * * * [misc]progress: [ 3 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (+ (* 1.0 y) x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (+ (* y 1.0) x) (+ (* y 1.0) x)) * * * * [misc]progress: [ 4 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1.0 (sqr x)) (+ (sqr y) (* 2.0 (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (+ (* (+ (* x 2.0) y) y) (* (* x 1.0) x)) * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr x) (+ (* 1.0 (sqr y)) (* 2.0 (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2.0 x) (* 1.0 y)) y) (* x x)) * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr x) (+ (* 1.0 (sqr y)) (* 2.0 (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2.0 x) (* 1.0 y)) y) (* x x)) * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (+ (* 2.0 (* y x)) (+ (sqr y) (* x x))) * * * * [misc]progress: [ 8 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (+ (* 2.0 (* y x)) (+ (sqr y) (* x x))) * * * * [misc]progress: [ 9 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (sqr x) (+ (sqr y) (* 2.0 (* y x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (+ (* 2.0 (* y x)) (+ (sqr y) (* x x))) * * * * [misc]progress: [ 10 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (+ (sqr x) (* 2.0 (* y x))) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (* (* 2.0 y) x) (+ (* y y) (* x x))) * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (+ (sqr x) (* 2.0 (* y x))) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (* (* 2.0 y) x) (+ (* y y) (* x x))) * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (+ (sqr x) (* 2.0 (* y x))) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (* (* 2.0 y) x) (+ (* y y) (* x x))) * * * * [misc]progress: [ 13 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* y (* 2.0 x)) (+ (* y y) (* x x))))) * [exit]simplify: Simplified to (log (sqrt (+ (* y (* 2.0 x)) (+ (* y y) (* x x))))) * * * * [misc]progress: [ 16 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* y (* 2.0 x)) (+ (* y y) (* x x))))) * [exit]simplify: Simplified to (exp (sqrt (+ (* y (* 2.0 x)) (+ (* y y) (* x x))))) * * * * [misc]progress: [ 17 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* y (* 2.0 x)) (+ (* y y) (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* y (* 2.0 x)) (+ (* y y) (* x x))))) * * * * [misc]progress: [ 18 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * * * * [misc]progress: [ 19 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (sqrt (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (sqrt (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 20 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (cube (* x (+ x (* 2.0 y)))) (sqr (cube y)))) * [exit]simplify: Simplified to (sqrt (+ (cube (* x (+ x (* 2.0 y)))) (sqr (cube y)))) * [enter]simplify: Simplifying (sqrt (+ (sqr (+ (* x x) (* (* x 2.0) y))) (- (sqr (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (* (+ (* 2.0 y) x) x)) (- (* (* y (* x y)) (+ (* 2.0 y) x)) (sqr (* y y))))) * [exit]simplify: Simplified to (sqrt (- (sqr (* (+ (* 2.0 y) x) x)) (- (* (* y (* x y)) (+ (* 2.0 y) x)) (sqr (* y y))))) * * * * [misc]progress: [ 21 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr (+ (* x x) (* (* x 2.0) y))) (sqr (* y y)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* y (* 2.0 x)) (* (+ x y) (- y x))) (+ (+ (* y y) (* x x)) (* y (* 2.0 x))))) * [exit]simplify: Simplified to (sqrt (* (- (* y (* 2.0 x)) (* (+ x y) (- y x))) (+ (+ (* y y) (* x x)) (* y (* 2.0 x))))) * [enter]simplify: Simplifying (sqrt (- (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (- (* y (* 2.0 x)) (- (* y y) (* x x)))) * [exit]simplify: Simplified to (sqrt (- (* y (* 2.0 x)) (- (* y y) (* x x)))) * * * * [misc]progress: [ 22 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* y (* 2.0 x)) (+ (* y y) (* x x))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* y (* 2.0 x)) (+ (* y y) (* x x))))) * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (log (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (log (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (exp (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (exp (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 29 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (cbrt (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (cbrt (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 30 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (cube (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (cube (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * [exit]simplify: Simplified to (sqrt (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * * * * [misc]progress: [ 32 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (+ (+ (* y y) (* x x)) (* y (* 2.0 x))) * [exit]simplify: Simplified to (+ (+ (* y y) (* x x)) (* y (* 2.0 x))) * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (+ (+ (* y y) (* x x)) (* y (* 2.0 x))) * [exit]simplify: Simplified to (+ (+ (* y y) (* x x)) (* y (* 2.0 x))) * * * * [misc]progress: [ 34 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (317 enodes) * [exit]simplify: Simplified to (+ (cube (* (+ x (* 2.0 y)) x)) (* (cube y) (cube y))) * [exit]simplify: Simplified to (+ (cube (* (+ x (* 2.0 y)) x)) (* (cube y) (cube y))) * [enter]simplify: Simplifying (sqr (sqrt (+ (sqr (+ (* x x) (* (* x 2.0) y))) (- (sqr (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (461 enodes) * [exit]simplify: Simplified to (- (sqr (* y y)) (* (- (- (* y y) (* x x)) (* y (* 2.0 x))) (* x (+ x (* 2.0 y))))) * [exit]simplify: Simplified to (- (sqr (* y y)) (* (- (- (* y y) (* x x)) (* y (* 2.0 x))) (* x (+ x (* 2.0 y))))) * * * * [misc]progress: [ 35 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (- (sqr (+ (* x x) (* (* x 2.0) y))) (sqr (* y y))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (* (+ (* (+ x y) (- x y)) (* y (* 2.0 x))) (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * [exit]simplify: Simplified to (* (+ (* (+ x y) (- x y)) (* y (* 2.0 x))) (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * [enter]simplify: Simplifying (sqr (sqrt (- (+ (* x x) (* (* x 2.0) y)) (* y y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (* y (* 2.0 x)) (* (+ x y) (- y x))) * [exit]simplify: Simplified to (- (* y (* 2.0 x)) (* (+ x y) (- y x))) * * * * [misc]progress: [ 36 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (exp (+ (+ (sqr y) (* x x)) (* (* x 2.0) y))) * [exit]simplify: Simplified to (exp (+ (+ (sqr y) (* x x)) (* (* x 2.0) y))) * * * * [misc]progress: [ 39 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (exp (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (exp (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 40 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (log (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (log (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 42 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (exp (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * [exit]simplify: Simplified to (exp (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (cbrt (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (cbrt (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 44 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (cube (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (cube (+ (* y (* 2.0 x)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (sqrt (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * [exit]simplify: Simplified to (sqrt (+ (* 2.0 (* x y)) (+ (* y y) (* x x)))) * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (+ (cube (* (+ x (* 2.0 y)) x)) (sqr (cube y))) * [exit]simplify: Simplified to (+ (cube (* (+ x (* 2.0 y)) x)) (sqr (cube y))) * [enter]simplify: Simplifying (+ (sqr (+ (* x x) (* (* x 2.0) y))) (- (sqr (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (481 enodes) * [exit]simplify: Simplified to (+ (sqr (* (+ x (* 2.0 y)) x)) (- (sqr (* y y)) (* (+ x (* 2.0 y)) (* (* y y) x)))) * [exit]simplify: Simplified to (+ (sqr (* (+ x (* 2.0 y)) x)) (- (sqr (* y y)) (* (+ x (* 2.0 y)) (* (* y y) x)))) * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (+ (* x x) (* (* x 2.0) y))) (sqr (* y y))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (* (- (* y (* 2.0 x)) (- (* y y) (* x x))) (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * [exit]simplify: Simplified to (* (- (* y (* 2.0 x)) (- (* y y) (* x x))) (+ (+ (* y y) (* x x)) (* y (* 2.0 x)))) * [enter]simplify: Simplifying (- (+ (* x x) (* (* x 2.0) y)) (* y y)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (* y (* 2.0 x)) (- (* y y) (* x x))) * [exit]simplify: Simplified to (- (* y (* 2.0 x)) (- (* y y) (* x x))) * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* x 2.0) y) (* y y)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* y (+ (* 2.0 x) y)) * [exit]simplify: Simplified to (* y (+ (* 2.0 x) y)) * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* x x)) (exp (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (pow (exp x) (+ x (* 2.0 y))) * [exit]simplify: Simplified to (pow (exp x) (+ x (* 2.0 y))) * * * * [misc]progress: [ 52 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* x x) (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (log (* x (+ (* 2.0 y) x))) * [exit]simplify: Simplified to (log (* x (+ (* 2.0 y) x))) * * * * [misc]progress: [ 54 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* x x) (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (pow (exp x) (+ x (* 2.0 y))) * [exit]simplify: Simplified to (pow (exp x) (+ x (* 2.0 y))) * * * * [misc]progress: [ 55 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* x x) (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (cbrt (* x (+ (* 2.0 y) x))) * [exit]simplify: Simplified to (cbrt (* x (+ (* 2.0 y) x))) * * * * [misc]progress: [ 56 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* x x) (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (cube (* x (+ (* 2.0 y) x))) * [exit]simplify: Simplified to (cube (* x (+ (* 2.0 y) x))) * * * * [misc]progress: [ 57 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* x x) (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (* x (+ (* 2.0 y) x))) * [exit]simplify: Simplified to (sqrt (* x (+ (* 2.0 y) x))) * * * * [misc]progress: [ 58 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (+ (cube (* y 2.0)) (cube x)) (cube x)) * [exit]simplify: Simplified to (* (+ (cube (* y 2.0)) (cube x)) (cube x)) * [enter]simplify: Simplifying (+ (sqr (* x x)) (- (sqr (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (+ (sqr (* (* x 2.0) y)) (* (cube x) (- x (* 2.0 y)))) * [exit]simplify: Simplified to (+ (sqr (* (* x 2.0) y)) (* (cube x) (- x (* 2.0 y)))) * * * * [misc]progress: [ 59 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* x x)) (sqr (* (* x 2.0) y))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (* x x) (* (- x (* 2.0 y)) (+ x (* 2.0 y)))) * [exit]simplify: Simplified to (* (* x x) (* (- x (* 2.0 y)) (+ x (* 2.0 y)))) * [enter]simplify: Simplifying (- (* x x) (* (* x 2.0) y)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (* x (- x (* 2.0 y))) * [exit]simplify: Simplified to (* x (- x (* 2.0 y))) * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (+ y (* 1.0 x))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (+ y (* 1.0 x))) in x * [misc]taylor: Taking taylor expansion of (+ y (* 1.0 x)) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* 1.0 x) in x * [misc]taylor: Taking taylor expansion of 1.0 in x * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (+ y (* 1.0 x))) in y * [misc]taylor: Taking taylor expansion of (+ y (* 1.0 x)) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 x) in y * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (sqr (+ y (* 1.0 x))) in y * [misc]taylor: Taking taylor expansion of (+ y (* 1.0 x)) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 x) in y * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 1.0 x) into (* 1.0 x) * [misc]backup-simplify: Simplify (+ 0 (* 1.0 x)) into (* 1.0 x) * [misc]backup-simplify: Simplify (* (* 1.0 x) (* 1.0 x)) into (* 1.0 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1.0 (sqr x)) in x * [misc]taylor: Taking taylor expansion of 1.0 in x * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (* 1.0 x) 1) (* 1 (* 1.0 x))) into (* 2.0 x) * [misc]taylor: Taking taylor expansion of (* 2.0 x) in x * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1.0 x) 0) (+ (* 1 1) (* 0 (* 1.0 x)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1.0 1) (+ (* 0 0) (* 0 0))) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ (* 1.0 (sqr (* x 1))) (+ (* 2.0 (* x y)) (* 1 (sqr (* 1 y))))) into (+ (* 1.0 (sqr x)) (+ (sqr y) (* 2.0 (* y x)))) * [misc]approximate: Taking taylor expansion of (sqr (+ (/ 1 y) (* 1.0 (/ 1 x)))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (+ (/ 1 y) (* 1.0 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (* 1.0 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1.0 in x * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (+ (/ 1 y) (* 1.0 (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (* 1.0 (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (sqr (+ (/ 1 y) (* 1.0 (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) (* 1.0 (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1.0 (/ 1 x)) into (/ 1.0 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1.0 x)) into (* 1.0 (/ 1 x)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1.0 (/ 1 x))) (* (* 1.0 (/ 1 x)) 1)) into (* 2.0 (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* 1.0 (/ 1 x)) (* 1.0 (/ 1 x))) (* 0 1))) into (* 1.0 (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (sqr x))) in x * [misc]taylor: Taking taylor expansion of 1.0 in x * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 y))))) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1.0 (sqr (* (/ 1 (/ 1 x)) 1))))) into (+ (* 1.0 (sqr x)) (+ (sqr y) (* 2.0 (* y x)))) * [misc]approximate: Taking taylor expansion of (sqr (+ (/ 1 (- y)) (* 1.0 (/ 1 (- x))))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (+ (/ 1 (- y)) (* 1.0 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (* 1.0 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1.0 in x * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (+ (/ 1 (- y)) (* 1.0 (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (* 1.0 (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (sqr (+ (/ 1 (- y)) (* 1.0 (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- y)) (* 1.0 (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (* 1.0 (/ -1 x)) into (/ -1.0 x) * [misc]backup-simplify: Simplify (+ 0 (/ -1.0 x)) into (- (* 1.0 (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 1.0 (/ 1 x)))) (* (- (* 1.0 (/ 1 x))) -1)) into (* 2.0 (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (* 1.0 (/ 1 x))) (- (* 1.0 (/ 1 x)))) (* 0 -1))) into (* 1.0 (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (sqr x))) in x * [misc]taylor: Taking taylor expansion of 1.0 in x * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2.0 1) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- y)))))) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1.0 (sqr (* (/ 1 (/ 1 (- x))) 1))))) into (+ (* 1.0 (sqr x)) (+ (sqr y) (* 2.0 (* y x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1.0 (sqr x)) (+ (sqr y) (* 2.0 (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (+ (* (+ (* x 2.0) y) y) (* (* x 1.0) x)) * * * * [misc]progress: [ 2 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1.0 (sqr x)) (+ (sqr y) (* 2.0 (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (+ (* (+ (* x 2.0) y) y) (* (* x 1.0) x)) * * * * [misc]progress: [ 3 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1.0 (sqr x)) (+ (sqr y) (* 2.0 (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (+ (* (+ (* x 2.0) y) y) (* (* x 1.0) x)) * * * * [misc]progress: [ 4 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (+ y (* 1.0 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (+ (log (+ (* x 1.0) y)) (log (+ (* x 1.0) y))) * [exit]simplify: Simplified to (+ (log (+ (* x 1.0) y)) (log (+ (* x 1.0) y))) * * * * [misc]progress: [ 7 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (+ y (* 1.0 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (exp (* (+ (* x 1.0) y) (+ (* x 1.0) y))) * [exit]simplify: Simplified to (exp (* (+ (* x 1.0) y) (+ (* x 1.0) y))) * * * * [misc]progress: [ 8 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (+ y (* 1.0 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (* x 1.0) y) (+ (* x 1.0) y))) * [exit]simplify: Simplified to (cbrt (* (+ (* x 1.0) y) (+ (* x 1.0) y))) * * * * [misc]progress: [ 9 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (+ y (* 1.0 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (* (cube (+ (* x 1.0) y)) (cube (+ (* x 1.0) y))) * [exit]simplify: Simplified to (* (cube (+ (* x 1.0) y)) (cube (+ (* x 1.0) y))) * * * * [misc]progress: [ 10 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (+ y (* 1.0 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (fabs (+ (* x 1.0) y)) * [exit]simplify: Simplified to (fabs (+ (* x 1.0) y)) * * * * [misc]progress: [ 11 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (+ y (* 1.0 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (+ (* x 1.0) y) (+ (* x 1.0) y)) * [exit]simplify: Simplified to (* (+ (* x 1.0) y) (+ (* x 1.0) y)) * * * * [misc]progress: [ 12 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (+ (pow y 3) (pow (* 1.0 x) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (* (+ (cube y) (cube (* x 1.0))) (+ (cube y) (cube (* x 1.0)))) * [exit]simplify: Simplified to (* (+ (cube y) (cube (* x 1.0))) (+ (cube y) (cube (* x 1.0)))) * [enter]simplify: Simplifying (sqr (+ (sqr y) (- (sqr (* 1.0 x)) (* y (* 1.0 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (sqr (+ (* (* 1.0 x) (- (* 1.0 x) y)) (* y y))) * [exit]simplify: Simplified to (sqr (+ (* (* 1.0 x) (- (* 1.0 x) y)) (* y y))) * * * * [misc]progress: [ 13 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (sqr y) (sqr (* 1.0 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (sqr (* (+ y (* 1.0 x)) (- y (* 1.0 x)))) * [exit]simplify: Simplified to (sqr (* (+ y (* 1.0 x)) (- y (* 1.0 x)))) * [enter]simplify: Simplifying (sqr (- y (* 1.0 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (- y (* x 1.0)) (- y (* x 1.0))) * [exit]simplify: Simplified to (* (- y (* x 1.0)) (- y (* x 1.0))) * * * * [misc]progress: [ 14 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 15 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (+ (* y (* 2.0 x)) (+ (* y y) (* x x))) * [enter]simplify: Simplifying (sqr (+ y (* 1.0 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (+ (* x 1.0) y) (+ (* x 1.0) y)) * [enter]simplify: Simplifying (* x (+ (* 2.0 y) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* x (+ (* y 2.0) x)) * [exit]simplify: Simplified to (* x (+ (* y 2.0) x))