* [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 y) (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ y x) (- x y)) * [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 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ x y) (- x y)) in y * [misc]taylor: Taking taylor expansion of (+ x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 0) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (/ x x) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ x y) (- x y)) in x * [misc]taylor: Taking taylor expansion of (+ x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (+ 0 y) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (/ y (- y)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ x y) (- x y)) in x * [misc]taylor: Taking taylor expansion of (+ x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (+ 0 y) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (/ y (- y)) 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 (- y)) (+ (* -1 (/ 1 (- y))))) into (- (* 2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- y)) (+ (* -1 (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 1 (- y))))) into (- (* 2 (/ 1 (sqr y)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr y)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- y)) (+ (* -1 (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 0 (- y))) (* (- (* 2 (/ 1 (sqr y)))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 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 into -1 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (sqr y))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 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 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* (* 2 (/ 1 (sqr y))) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [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 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 (/ -1 y)) into (- (/ 1 y)) * [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 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 y)) -1) (+ (* 1 (/ (/ 1 y) -1)))) into (* 2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (- (+ (* -1 (/ 0 -1)) (* 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 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 (- (+ (* -1 (/ 0 -1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (* 2 (/ 1 y)) (/ (/ 1 y) -1)))) into (* 2 (/ 1 (sqr y))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 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 (- 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 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (* 2 (/ 1 y)) (/ 0 -1)) (* (* 2 (/ 1 (sqr y))) (/ (/ 1 y) -1)))) into (* 2 (/ 1 (pow y 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * * * * [misc]progress: [ 2 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 3 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 4 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ x y)) (log (- x y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (log (+ y x)) (log (- x y))) * [exit]simplify: Simplified to (- (log (+ y x)) (log (- x y))) * * * * [misc]progress: [ 6 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ x y) (- x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (/ (+ y x) (- x y))) * [exit]simplify: Simplified to (log (/ (+ y x) (- x y))) * * * * [misc]progress: [ 7 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ x y) (- x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (/ (+ y x) (- x y))) * [exit]simplify: Simplified to (exp (/ (+ y x) (- x y))) * * * * [misc]progress: [ 8 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (+ x y)) (cube (- x y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (cube (/ (+ y x) (- x y))) * [exit]simplify: Simplified to (cube (/ (+ y x) (- x y))) * * * * [misc]progress: [ 9 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ x y) (- x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ y x) (- x y))) * [exit]simplify: Simplified to (cbrt (/ (+ y x) (- x y))) * * * * [misc]progress: [ 10 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (+ x y) (- x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (cube (/ (+ y x) (- x y))) * [exit]simplify: Simplified to (cube (/ (+ y x) (- x y))) * * * * [misc]progress: [ 11 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x y)) (cbrt (- x y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ y x)) (cbrt (- x y))) * [exit]simplify: Simplified to (/ (cbrt (+ y x)) (cbrt (- x y))) * * * * [misc]progress: [ 12 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ x y) (- x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ y x) (- x y))) * [exit]simplify: Simplified to (sqrt (/ (+ y x) (- x y))) * * * * [misc]progress: [ 13 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x y)) (sqrt (- x y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ y x)) (sqrt (- x y))) * [exit]simplify: Simplified to (/ (sqrt (+ y x)) (sqrt (- x y))) * * * * [misc]progress: [ 14 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (+ y x)) * [exit]simplify: Simplified to (- (+ y x)) * [enter]simplify: Simplifying (- (- x y)) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (- x y)) * [exit]simplify: Simplified to (- (- x y)) * * * * [misc]progress: [ 15 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ x y) (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ y x) (- x y)) * [exit]simplify: Simplified to (/ (+ y x) (- x y)) * * * * [misc]progress: [ 16 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- x y)) * [exit]simplify: Simplified to (/ 1 (- x y)) * * * * [misc]progress: [ 18 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x y) (+ x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * * * * [misc]progress: [ 19 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x y) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (+ y x) 1) * [exit]simplify: Simplified to (/ (+ y x) 1) * * * * [misc]progress: [ 20 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x y) (+ x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * * * * [misc]progress: [ 21 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x y) (- (pow x 3) (pow y 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (+ y x) (- (cube x) (cube y))) * [exit]simplify: Simplified to (/ (+ y x) (- (cube x) (cube y))) * * * * [misc]progress: [ 22 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x y) (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 1 (- x y)) * [exit]simplify: Simplified to (/ 1 (- x y)) * * * * [misc]progress: [ 23 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x y) (+ (sqr x) (- (sqr y) (* x y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (+ (* y (- y x)) (* x x)) (- x y)) * [exit]simplify: Simplified to (* (+ (* y (- y x)) (* x x)) (- x y)) * * * * [misc]progress: [ 24 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x y) (- x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (- x y) (- x y)) * [exit]simplify: Simplified to (* (- x y) (- x y)) * * * [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 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- x y) (+ x y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- x y) (+ x y)) in y * [misc]taylor: Taking taylor expansion of (- x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 (+ x 0) into x * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (/ x x) into 1 * [misc]taylor: Taking taylor expansion of (/ (- x y) (+ x y)) in x * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (+ x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (+ 0 y) into y * [misc]backup-simplify: Simplify (/ (- y) y) into -1 * [misc]taylor: Taking taylor expansion of (/ (- x y) (+ x y)) in x * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (+ x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (+ 0 y) into y * [misc]backup-simplify: Simplify (/ (- y) y) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 y) (+ (* -1 (/ 1 y)))) into (* 2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* -1 (/ 0 y)) (* (* 2 (/ 1 y)) (/ 1 y)))) into (- (* 2 (/ 1 (sqr y)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr y)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* -1 (/ 0 y)) (* (* 2 (/ 1 y)) (/ 0 y)) (* (- (* 2 (/ 1 (sqr y)))) (/ 1 y)))) into (* 2 (/ 1 (pow y 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 y)) 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (* 2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 y))) (/ (/ 1 y) 1)))) into (* 2 (/ 1 (sqr y))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 y))) (/ 0 1)) (* (* 2 (/ 1 (sqr y))) (/ (/ 1 y) 1)))) into (- (* 2 (/ 1 (pow y 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 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 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [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 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 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [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 (/ -1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (/ (/ 1 y) -1) (+ (* 1 (/ (- (/ 1 y)) -1)))) into (- (* 2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (- 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 (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* -1 (/ 0 -1)) (* 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ (- (/ 1 y)) -1)))) into (* 2 (/ 1 (sqr y))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 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 (- 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 (- 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 (+ 0 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ 0 -1)) (* (* 2 (/ 1 (sqr y))) (/ (- (/ 1 y)) -1)))) into (- (* 2 (/ 1 (pow y 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 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 into 1 * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- x y) (+ x y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- x y) (+ x y))) in y * [misc]taylor: Taking taylor expansion of (/ (- x y) (+ x y)) in y * [misc]taylor: Taking taylor expansion of (- x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 (+ x 0) into x * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (/ x x) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- x y) (+ x y))) in x * [misc]taylor: Taking taylor expansion of (/ (- x y) (+ x y)) in x * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (+ x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (+ 0 y) into y * [misc]backup-simplify: Simplify (/ (- y) y) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- x y) (+ x y))) in x * [misc]taylor: Taking taylor expansion of (/ (- x y) (+ x y)) in x * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (+ x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (+ 0 y) into y * [misc]backup-simplify: Simplify (/ (- y) y) into -1 * [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 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 y) (+ (* -1 (/ 1 y)))) into (* 2 (/ 1 y)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (* 2 (/ 1 y)) -1)))) into (- (* 2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* -1 (/ 0 y)) (* (* 2 (/ 1 y)) (/ 1 y)))) into (- (* 2 (/ 1 (sqr y)))) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (* 2 (/ 1 (sqr y)))) -1)) (* (- (* 2 (/ 1 y))) (/ (* 2 (/ 1 y)) -1)))) into (- (* 2 (/ 1 (sqr y)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr y)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 y) (+ (* -1 (/ 0 y)) (* (* 2 (/ 1 y)) (/ 0 y)) (* (- (* 2 (/ 1 (sqr y)))) (/ 1 y)))) into (* 2 (/ 1 (pow y 3))) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (* 2 (/ 1 (pow y 3))) -1)) (* (- (* 2 (/ 1 y))) (/ (- (* 2 (/ 1 (sqr y)))) -1)) (* (- (* 2 (/ 1 (sqr y)))) (/ (* 2 (/ 1 y)) -1)))) into (- (* 2 (/ 1 (pow y 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 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 into -1 * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 y)) 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (* 2 (/ 1 y))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 y))) (/ (/ 1 y) 1)))) into (* 2 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (* 2 (/ 1 (sqr y))) 1)) (* (* 2 (/ 1 y)) (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 (sqr y))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 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 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 y))) (/ 0 1)) (* (* 2 (/ 1 (sqr y))) (/ (/ 1 y) 1)))) into (- (* 2 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (* 2 (/ 1 (pow y 3)))) 1)) (* (* 2 (/ 1 y)) (/ (* 2 (/ 1 (sqr y))) 1)) (* (* 2 (/ 1 (sqr y))) (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 (pow y 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) in y * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [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 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 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [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 (/ -1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (/ (/ 1 y) -1) (+ (* 1 (/ (- (/ 1 y)) -1)))) into (- (* 2 (/ 1 y))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (- (+ (* -1 (/ 0 -1)) (* 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 (+ 0 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 (- (+ (* -1 (/ 0 -1)) (* 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ (- (/ 1 y)) -1)))) into (* 2 (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (* 2 (/ 1 (sqr y))) 1)) (* (* 2 (/ 1 y)) (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 (sqr y))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 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 (- 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 (+ 0 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ 0 -1)) (* (* 2 (/ 1 (sqr y))) (/ (- (/ 1 y)) -1)))) into (- (* 2 (/ 1 (pow y 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (* 2 (/ 1 (pow y 3)))) 1)) (* (* 2 (/ 1 y)) (/ (* 2 (/ 1 (sqr y))) 1)) (* (* 2 (/ 1 (sqr y))) (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 (pow y 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 -1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 -1) * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x y)) (log (+ x y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (log (- x y)) (log (+ y x))) * [exit]simplify: Simplified to (- (log (- x y)) (log (+ y x))) * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- x y) (+ x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (/ (- x y) (+ y x))) * [exit]simplify: Simplified to (log (/ (- x y) (+ y x))) * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- x y) (+ x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (/ (- x y) (+ y x))) * [exit]simplify: Simplified to (exp (/ (- x y) (+ y x))) * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- x y)) (cube (+ x y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (cube (/ (- x y) (+ y x))) * [exit]simplify: Simplified to (cube (/ (- x y) (+ y x))) * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- x y) (+ x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (- x y) (+ y x))) * [exit]simplify: Simplified to (cbrt (/ (- x y) (+ y x))) * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- x y) (+ x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (cube (/ (- x y) (+ y x))) * [exit]simplify: Simplified to (cube (/ (- x y) (+ y x))) * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- x y)) (cbrt (+ x y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x y)) (cbrt (+ y x))) * [exit]simplify: Simplified to (/ (cbrt (- x y)) (cbrt (+ y x))) * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- x y) (+ x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (- x y) (+ y x))) * [exit]simplify: Simplified to (sqrt (/ (- x y) (+ y x))) * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x y)) (sqrt (+ x y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x y)) (sqrt (+ y x))) * [exit]simplify: Simplified to (/ (sqrt (- x y)) (sqrt (+ y x))) * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- x y)) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (- x y)) * [exit]simplify: Simplified to (- (- x y)) * [enter]simplify: Simplifying (- (+ x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (+ y x)) * [exit]simplify: Simplified to (- (+ y x)) * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (+ x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ x (+ y x)) * [exit]simplify: Simplified to (/ x (+ y x)) * [enter]simplify: Simplifying (/ y (+ x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ y (+ x y)) * [exit]simplify: Simplified to (/ y (+ x y)) * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- x y) (+ x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ x y)) * [exit]simplify: Simplified to (/ 1 (+ x y)) * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x y) (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ y x) (- x y)) * [exit]simplify: Simplified to (/ (+ y x) (- x y)) * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x y) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (- x y) 1) * [exit]simplify: Simplified to (/ (- x y) 1) * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x y) (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ y x) (- x y)) * [exit]simplify: Simplified to (/ (+ y x) (- x y)) * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x y) (+ (pow x 3) (pow y 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (- x y) (+ (cube x) (cube y))) * [exit]simplify: Simplified to (/ (- x y) (+ (cube x) (cube y))) * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x y) (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ (- x y) (+ y x)) (- x y)) * [exit]simplify: Simplified to (/ (/ (- x y) (+ y x)) (- x y)) * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x y) (+ (sqr x) (+ (sqr y) (* x y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (+ (sqr y) (* x (+ y x))) (+ y x)) * [exit]simplify: Simplified to (* (+ (sqr y) (* x (+ y x))) (+ y x)) * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x y) (+ x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (+ y x) (+ y x)) * [exit]simplify: Simplified to (* (+ y x) (+ y x)) * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- x y)) (log (+ x y)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (- (log (- x y)) (log (+ y x)))) * [exit]simplify: Simplified to (- (- (log (- x y)) (log (+ y x)))) * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- x y) (+ x y)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (log (/ (- x y) (+ y x)))) * [exit]simplify: Simplified to (- (log (/ (- x y) (+ y x)))) * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (/ (- x y) (+ x y)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (log (/ (+ x y) (- x y))) * [exit]simplify: Simplified to (log (/ (+ x y) (- x y))) * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (/ (- x y) (+ x 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 (49 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (exp (/ (+ x y) (- x y))) * [exit]simplify: Simplified to (exp (/ (+ x y) (- x y))) * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (/ (- x y) (+ x y)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ x y) (- x y))) * [exit]simplify: Simplified to (cbrt (/ (+ x y) (- x y))) * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (/ (- x y) (+ x y)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (cube (/ (+ x y) (- x y))) * [exit]simplify: Simplified to (cube (/ (+ x y) (- x y))) * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (- x y) (+ x y)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ x y) (- x y))) * [exit]simplify: Simplified to (sqrt (/ (+ x y) (- x y))) * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (/ (- x y) (+ x y))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (/ (- x y) (+ y x))) * [exit]simplify: Simplified to (- (/ (- x y) (+ y x))) * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- x y) (+ x y))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (+ x y) (- x y)) * [exit]simplify: Simplified to (/ (+ x y) (- x y)) * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- x y) (+ x y)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- x y)) * [exit]simplify: Simplified to (/ 1 (- x y)) * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- x y) (+ (pow x 3) (pow y 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (+ (cube y) (cube x)) (- x y)) * [exit]simplify: Simplified to (/ (+ (cube y) (cube x)) (- x y)) * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- x y) (- (sqr x) (sqr y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (+ x y) * [exit]simplify: Simplified to (+ x y) * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- x y)) * [exit]simplify: Simplified to (/ 1 (- x y)) * * * [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 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (- x y) (- x y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (* (- x y) (- x y)) in y * [misc]taylor: Taking taylor expansion of (- x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 y) (- x y)) in x * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* (- x y) (- x y)) in x * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- y) 1) (* 1 (- y))) into (- (* 2 y)) * [misc]taylor: Taking taylor expansion of (- (* 2 y)) in y * [misc]taylor: Taking taylor expansion of (* 2 y) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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) into 0 * [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 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- y) 0) (+ (* 1 1) (* 0 (- y)))) 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 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [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 (* y x)) (* 1 (sqr (* 1 x))))) into (- (+ (sqr x) (sqr y)) (* 2 (* y x))) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 y)) (- (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 y)) (- (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 y))) (* (- (/ 1 y)) 1)) into (- (* 2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (- (/ 1 y))) (* 0 1))) 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 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 x))))) (+ (* -2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (sqr (* (/ 1 (/ 1 y)) 1))))) into (- (+ (sqr x) (sqr y)) (* 2 (* y x))) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [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 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) -1)) into (- (* 2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* -1 (/ 0 -1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) 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 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- x)))))) (+ (* -2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (sqr (* (/ 1 (/ 1 (- y))) 1))))) into (- (+ (sqr x) (sqr y)) (* 2 (* y x))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (sqr x) (sqr y)) (* (- x y) (- x y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqr x) (sqr y)) (* (- x y) (- x y))) in y * [misc]taylor: Taking taylor expansion of (- (sqr x) (sqr y)) in y * [misc]taylor: Taking taylor expansion of (sqr 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 (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]taylor: Taking taylor expansion of (* (- x y) (- x y)) in y * [misc]taylor: Taking taylor expansion of (- x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr x) 0) into (sqr x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (* x x) into (sqr x) * [misc]backup-simplify: Simplify (/ (sqr x) (sqr x)) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (sqr x) (sqr y)) (* (- x y) (- x y))) in x * [misc]taylor: Taking taylor expansion of (- (sqr x) (sqr y)) 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]taylor: Taking taylor expansion of (sqr 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 (* (- x y) (- x y)) in x * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* y y) into (sqr y) * [misc]backup-simplify: Simplify (- (sqr y)) into (- (sqr y)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr y))) into (- (sqr y)) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (* (- y) (- y)) into (sqr y) * [misc]backup-simplify: Simplify (/ (- (sqr y)) (sqr y)) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (sqr x) (sqr y)) (* (- x y) (- x y))) in x * [misc]taylor: Taking taylor expansion of (- (sqr x) (sqr y)) 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]taylor: Taking taylor expansion of (sqr 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 (* (- x y) (- x y)) in x * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (- x y) 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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* y y) into (sqr y) * [misc]backup-simplify: Simplify (- (sqr y)) into (- (sqr y)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr y))) into (- (sqr y)) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 0 (- y)) into (- y) * [misc]backup-simplify: Simplify (* (- y) (- y)) into (sqr y) * [misc]backup-simplify: Simplify (/ (- (sqr y)) (sqr y)) 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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (* 0 y)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- y) 1) (* 1 (- y))) into (- (* 2 y)) * [misc]backup-simplify: Simplify (- (/ 0 (sqr y)) (+ (* -1 (/ (- (* 2 y)) (sqr y))))) into (- (* 2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- y) 0) (+ (* 1 1) (* 0 (- y)))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 (sqr y)) (+ (* -1 (/ 1 (sqr y))) (* (- (* 2 (/ 1 y))) (/ (- (* 2 y)) (sqr y))))) into (- (* 2 (/ 1 (sqr y)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr y)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- y) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr y)) (+ (* -1 (/ 0 (sqr y))) (* (- (* 2 (/ 1 y))) (/ 1 (sqr y))) (* (- (* 2 (/ 1 (sqr y)))) (/ (- (* 2 y)) (sqr y))))) into (- (* 2 (/ 1 (pow y 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 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 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (sqr (/ 1 x)) (sqr (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 x)) (sqr (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 x)) (sqr (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 x)) (sqr (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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 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 y)) 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 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 y))) (* (- (/ 1 y)) 1)) into (- (* 2 (/ 1 y))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr y))) into (- (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr y)))) into (- (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (- (/ 1 y))) (* 0 1))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (sqr y))) 1) (+ (* 1 (/ (/ 1 (sqr y)) 1)) (* (* 2 (/ 1 y)) (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 (sqr y))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ (/ 1 (sqr y)) 1)) (* (* 2 (/ 1 (sqr y))) (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 (pow y 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y))))) in y * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ 1 (- y))) 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 (- 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 (- y))) 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 (- 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [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 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) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [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 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) -1)) into (- (* 2 (/ 1 y))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (- (+ (* -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) (/ -1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr y))) into (- (/ 1 (sqr y))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr y)))) into (- (/ 1 (sqr 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 (/ 0 -1)) (* 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 (+ 0 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 (- (+ (* -1 (/ 0 -1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (sqr y))) 1) (+ (* 1 (/ (/ 1 (sqr y)) 1)) (* (* 2 (/ 1 y)) (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 (sqr y))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr y))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 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 (+ (* -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 (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 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 (+ 0 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ (/ 1 (sqr y)) 1)) (* (* 2 (/ 1 (sqr y))) (/ (- (* 2 (/ 1 y))) 1)))) into (* 2 (/ 1 (pow y 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (sqr x) (sqr y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr x) (sqr y)) in y * [misc]taylor: Taking taylor expansion of (sqr 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 (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]taylor: Taking taylor expansion of (- (sqr x) (sqr y)) 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]taylor: Taking taylor expansion of (sqr 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 (- (sqr x) (sqr y)) 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]taylor: Taking taylor expansion of (sqr y) in x * [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 (* y y) into (sqr y) * [misc]backup-simplify: Simplify (- (sqr 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 (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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (* 0 y)) into 0 * [misc]backup-simplify: Simplify (- 0) 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) 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 (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 0 into 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 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 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 (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* -1 (sqr (* y 1))) (* 1 (sqr (* 1 x)))) into (- (sqr x) (sqr y)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (- (sqr (/ 1 x)) (sqr (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (- (sqr (/ 1 x)) (sqr (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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]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) (* 0 1)) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr 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 (/ 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 -1 into -1 * [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 (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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) (+ (* 0 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 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 x))))) (* -1 (sqr (* (/ 1 (/ 1 y)) 1)))) into (- (sqr x) (sqr y)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (- (sqr (/ 1 (- x))) (sqr (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (sqr (/ 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]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 (+ (* -1 0) (* 0 -1)) 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) 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 (* (/ -1 y) (/ -1 y)) into (/ 1 (sqr y)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr 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 (/ 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 -1 into -1 * [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)))) 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 (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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 (+ (* -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 (- (+ (* (/ -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) 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- x)))))) (* -1 (sqr (* (/ 1 (/ 1 (- y))) 1)))) into (- (sqr x) (sqr y)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (- (+ (sqr x) (sqr y)) (* 2 (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (- x y) (- y x)) (/ (+ x y) (- y x))) * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (- (+ (sqr x) (sqr y)) (* 2 (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (- x y) (- y x)) (/ (+ x y) (- y x))) * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (- (+ (sqr x) (sqr y)) (* 2 (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (- x y) (- y x)) (/ (+ x y) (- y x))) * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- x y) (- x y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (+ x y) (- x y)) * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- x y) (- x y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (+ x y) (- x y)) * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- x y) (- x y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (+ x y) (- x y)) * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x y) (- x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (- x y) (- x y)) * [exit]simplify: Simplified to (* (- x y) (- x y)) * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- x y)) (log (- x y))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (- x y)) (log (- x y))) * [exit]simplify: Simplified to (+ (log (- x y)) (log (- x y))) * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- x y) (- x y))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (+ (log (- x y)) (log (- x y))) * [exit]simplify: Simplified to (+ (log (- x y)) (log (- x y))) * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- x y) (- x y))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (exp (* (- x y) (- x y))) * [exit]simplify: Simplified to (exp (* (- x y) (- x y))) * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (- x y)) (cube (- x y))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (sqr (cube (- x y))) * [exit]simplify: Simplified to (sqr (cube (- x y))) * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- x y) (- x y))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (* (- x y) (- x y))) * [exit]simplify: Simplified to (cbrt (* (- x y) (- x y))) * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (- x y) (- x y))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (cube (- x y)) (cube (- x y))) * [exit]simplify: Simplified to (* (cube (- x y)) (cube (- x y))) * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- x y)) (cbrt (- x y))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqr (cbrt (- x y))) * [exit]simplify: Simplified to (sqr (cbrt (- x y))) * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- x y) (- x y))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (fabs (- x y)) * [exit]simplify: Simplified to (fabs (- x y)) * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- x y)) (sqrt (- x y))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- x y) * [exit]simplify: Simplified to (- x y) * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (* (- (cube x) (cube y)) (- (cube x) (cube y))) * [exit]simplify: Simplified to (* (- (cube x) (cube y)) (- (cube x) (cube y))) * [enter]simplify: Simplifying (* (+ (sqr x) (+ (sqr y) (* x y))) (+ (sqr x) (+ (sqr y) (* x y)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y (+ x y)))) * [exit]simplify: Simplified to (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y (+ x y)))) * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow x 3) (pow y 3)) (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (- (* x x) (sqr y)) (- (cube x) (cube y))) * [exit]simplify: Simplified to (* (- (* x x) (sqr y)) (- (cube x) (cube y))) * [enter]simplify: Simplifying (* (+ (sqr x) (+ (sqr y) (* x y))) (+ x y)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (+ x y) (+ (* x x) (* (+ x y) y))) * [exit]simplify: Simplified to (* (+ x y) (+ (* x x) (* (+ x y) y))) * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqr x) (sqr y)) (- (pow x 3) (pow y 3))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (- (cube x) (cube y)) (* (+ x y) (- x y))) * [exit]simplify: Simplified to (* (- (cube x) (cube y)) (* (+ x y) (- x y))) * [enter]simplify: Simplifying (* (+ x y) (+ (sqr x) (+ (sqr y) (* x y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (+ (sqr y) (* x (+ y x))) (+ y x)) * [exit]simplify: Simplified to (* (+ (sqr y) (* x (+ y x))) (+ y x)) * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqr x) (sqr y)) (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) * [exit]simplify: Simplified to (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) * [enter]simplify: Simplifying (* (+ x y) (+ x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (+ y x) (+ y x)) * [exit]simplify: Simplified to (* (+ y x) (+ y x)) * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x y) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* x (- x y)) * [exit]simplify: Simplified to (* x (- x y)) * [enter]simplify: Simplifying (* (- x y) (- y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (- x y) (- y)) * [exit]simplify: Simplified to (* (- x y) (- y)) * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (- x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* x (- x y)) * [exit]simplify: Simplified to (* x (- x y)) * [enter]simplify: Simplifying (* (- y) (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (- x y) (- y)) * [exit]simplify: Simplified to (* (- x y) (- y)) * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x y) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- x y) * [exit]simplify: Simplified to (- x y) * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x y) (- x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (- x y) (- x y)) * [exit]simplify: Simplified to (* (- x y) (- x y)) * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x y) (- (pow x 3) (pow y 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (- x y) (- (cube x) (cube y))) * [exit]simplify: Simplified to (* (- x y) (- (cube x) (cube y))) * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x y) (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (- x y) (* (+ y x) (- x y))) * [exit]simplify: Simplified to (* (- x y) (* (+ y x) (- x y))) * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow x 3) (pow y 3)) (- x y)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (- x y) (- (cube x) (cube y))) * [exit]simplify: Simplified to (* (- x y) (- (cube x) (cube y))) * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqr x) (sqr y)) (- x y)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (* (- x y) (- x y)) (+ x y)) * [exit]simplify: Simplified to (* (* (- x y) (- x y)) (+ x y)) * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (sqr x) (sqr y))) (+ (log (- x y)) (log (- x y)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (log (+ x y)) (log (- x y))) * [exit]simplify: Simplified to (- (log (+ x y)) (log (- x y))) * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (sqr x) (sqr y))) (log (* (- x y) (- x y)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (log (+ x y)) (log (- x y))) * [exit]simplify: Simplified to (- (log (+ x y)) (log (- x y))) * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (sqr x) (sqr y)) (* (- x y) (- x y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (log (/ (+ x y) (- x y))) * [exit]simplify: Simplified to (log (/ (+ x y) (- x y))) * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (sqr x) (sqr y)) (* (- x y) (- x y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (exp (/ (+ x y) (- x y))) * [exit]simplify: Simplified to (exp (/ (+ x y) (- x y))) * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- (sqr x) (sqr y))) (* (cube (- x y)) (cube (- x y)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * [exit]simplify: Simplified to (* (/ (cube (+ x y)) (cube (- x y))) (/ (cube (- x y)) (cube (- x y)))) * [exit]simplify: Simplified to (* (/ (cube (+ x y)) (cube (- x y))) (/ (cube (- x y)) (cube (- x y)))) * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- (sqr x) (sqr y))) (cube (* (- x y) (- x 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 (174 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (/ (cube (/ (+ x y) 1)) (cube (- x y))) * [exit]simplify: Simplified to (/ (cube (/ (+ x y) 1)) (cube (- x y))) * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (sqr x) (sqr y)) (* (- x y) (- x y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ x y) (- x y))) * [exit]simplify: Simplified to (cbrt (/ (+ x y) (- x y))) * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- (sqr x) (sqr y)) (* (- x y) (- x y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (cube (/ (+ x y) (- x y))) * [exit]simplify: Simplified to (cube (/ (+ x y) (- x y))) * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr x) (sqr y))) (cbrt (* (- x y) (- x y)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* x x) (* y y))) (cbrt (* (- x y) (- x y)))) * [exit]simplify: Simplified to (/ (cbrt (- (* x x) (* y y))) (cbrt (* (- x y) (- x y)))) * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr x) (sqr y))) (* (cbrt (- x y)) (cbrt (- x y)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))) * [exit]simplify: Simplified to (/ (cbrt (- (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))) * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (sqr x) (sqr y)) (* (- x y) (- x y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ x y) (- x y))) * [exit]simplify: Simplified to (sqrt (/ (+ x y) (- x y))) * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqr x) (sqr y))) (- x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ x y) (- x y))) (- x y)) * [exit]simplify: Simplified to (/ (sqrt (* (+ x y) (- x y))) (- x y)) * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqr x) (sqr y))) (sqrt (* (- x y) (- x y)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* x x) (* y y))) (fabs (- x y))) * [exit]simplify: Simplified to (/ (sqrt (- (* x x) (* y y))) (fabs (- x y))) * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqr x) (sqr y))) (* (sqrt (- x y)) (sqrt (- x y)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ x y) (- x y))) (- x y)) * [exit]simplify: Simplified to (/ (sqrt (* (+ x y) (- x y))) (- x y)) * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (- (- x y)) (+ x y)) * [exit]simplify: Simplified to (* (- (- x y)) (+ x y)) * [enter]simplify: Simplifying (- (* (- x y) (- x y))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (- x y) (- (- x y))) * [exit]simplify: Simplified to (* (- x y) (- (- x y))) * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (* (- x y) (- x y))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ x (- x y)) (/ x (- x y))) * [exit]simplify: Simplified to (* (/ x (- x y)) (/ x (- x y))) * [enter]simplify: Simplifying (/ (sqr y) (* (- x y) (- x y))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ y (- x y)) (/ y (- x y))) * [exit]simplify: Simplified to (* (/ y (- x y)) (/ y (- x y))) * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- x y)) * [exit]simplify: Simplified to (/ 1 (- x y)) * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (- x y)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (+ x y) 1) * [exit]simplify: Simplified to (/ (+ x y) 1) * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x y) (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ y x) (- x y)) * [exit]simplify: Simplified to (/ (+ y x) (- x y)) * [enter]simplify: Simplifying (/ (- x y) (- x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- x y)) * [exit]simplify: Simplified to (/ 1 (- x y)) * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (- x y)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (+ x y) 1) * [exit]simplify: Simplified to (/ (+ x y) 1) * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (- x y) (- x y))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- x y)) (- x y)) * [exit]simplify: Simplified to (/ (/ 1 (- x y)) (- x y)) * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- x y) (- x y)) (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (- x y)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (+ x y) 1) * [exit]simplify: Simplified to (/ (+ x y) 1) * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- x y) (- x y)) (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- x y) (- x y)) (- x y)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (- x y) 1) * [exit]simplify: Simplified to (/ (- x y) 1) * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- x y) (- x y)) (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (* (+ x y) (- x y)) (sqr (- (cube x) (cube y)))) * [exit]simplify: Simplified to (/ (* (+ x y) (- x y)) (sqr (- (cube x) (cube y)))) * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- (pow x 3) (pow y 3)) (- (sqr x) (sqr y)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (/ 1 (- (cube x) (cube y))) * [exit]simplify: Simplified to (/ 1 (- (cube x) (cube y))) * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- (sqr x) (sqr y)) (- (pow x 3) (pow y 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (/ 1 (- (cube x) (cube y))) * [exit]simplify: Simplified to (/ 1 (- (cube x) (cube y))) * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- (sqr x) (sqr y)) (- (sqr x) (sqr y)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- x y)) (+ x y)) * [exit]simplify: Simplified to (/ (/ 1 (- x y)) (+ x y)) * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- x y) (- (pow x 3) (pow y 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (+ x y) (- (cube x) (cube y))) * [exit]simplify: Simplified to (/ (+ x y) (- (cube x) (cube y))) * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- x y) (- (sqr x) (sqr y)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (/ 1 (- x y)) * [exit]simplify: Simplified to (/ 1 (- x y)) * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- (pow x 3) (pow y 3)) (- x y))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (/ (+ x y) (- (cube x) (cube y))) * [exit]simplify: Simplified to (/ (+ x y) (- (cube x) (cube y))) * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr y)) (* (- (sqr x) (sqr y)) (- x y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ 1 (- x y)) * [exit]simplify: Simplified to (/ 1 (- x y)) * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- x y) (- x y)) (+ (sqr (sqr x)) (+ (sqr (sqr y)) (* (sqr x) (sqr y))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (* (+ (* (sqr y) (sqr y)) (* (+ (* x x) (sqr y)) (* x x))) (* (- x y) (- x y))) * [exit]simplify: Simplified to (* (+ (* (sqr y) (sqr y)) (* (+ (* x x) (sqr y)) (* x x))) (* (- x y) (- x y))) * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- x y) (- x y)) (+ (sqr x) (sqr y))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (* (- x y) (- x y)) (+ (* x x) (sqr y))) * [exit]simplify: Simplified to (* (* (- x y) (- x y)) (+ (* x x) (sqr y))) * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqr x)) (exp (sqr y))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (exp (- (* x x) (sqr y))) * [exit]simplify: Simplified to (exp (- (* x x) (sqr y))) * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (* (+ x y) (- x y))) * [exit]simplify: Simplified to (log (* (+ x y) (- x y))) * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (exp (* (+ x y) (- x y))) * [exit]simplify: Simplified to (exp (* (+ x y) (- x y))) * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (+ x y) (- x y))) * [exit]simplify: Simplified to (cbrt (* (+ x y) (- x y))) * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cube (* (- x y) (+ x y))) * [exit]simplify: Simplified to (cube (* (- x y) (+ x y))) * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr x) (sqr y))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (sqrt (* (+ x y) (- x y))) * [exit]simplify: Simplified to (sqrt (* (+ x y) (- x y))) * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr x) 3) (pow (sqr y) 3)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (* (cube x) (cube x)) (sqr (cube y))) * [exit]simplify: Simplified to (- (* (cube x) (cube x)) (sqr (cube y))) * [enter]simplify: Simplifying (+ (sqr (sqr x)) (+ (sqr (sqr y)) (* (sqr x) (sqr y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (+ (* (sqr y) (+ (* x x) (sqr y))) (sqr (* x x))) * [exit]simplify: Simplified to (+ (* (sqr y) (+ (* x x) (sqr y))) (sqr (* x x))) * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr y)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (* y (- y)) * [exit]simplify: Simplified to (* y (- y)) * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr x)) (sqr (sqr y))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (sqr (* x x)) (* (sqr y) (sqr y))) * [exit]simplify: Simplified to (- (sqr (* x x)) (* (sqr y) (sqr y))) * [enter]simplify: Simplifying (+ (sqr x) (sqr y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (* y y) (* x x)) * [exit]simplify: Simplified to (+ (* y y) (* x x)) * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x y) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ y x) * [exit]simplify: Simplified to (+ y x) * [enter]simplify: Simplifying (- x y) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (- x y) * [exit]simplify: Simplified to (- x y) * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (- x y) (+ x y)) * [exit]simplify: Simplified to (* (- x y) (+ x y)) * * * [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 y) (- x y)) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (/ (+ y x) (- x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ x y) (- x y)) * [exit]simplify: Simplified to (/ (+ x y) (- x y)) * [enter]simplify: Simplifying (exp (/ (+ x y) (- x y))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (/ (+ y x) (- x y))) * [exit]simplify: Simplified to (exp (/ (+ y x) (- x y))) * [enter]simplify: Simplifying (* (- x y) (- x y)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (- x y) (- x y)) * [exit]simplify: Simplified to (* (- x y) (- x y)) * [enter]simplify: Simplifying (/ (- x y) (+ x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * [exit]simplify: Simplified to (/ (- x y) (+ y x)) * [enter]simplify: Simplifying (/ (cbrt (+ x y)) (cbrt (- x y))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ y x)) (cbrt (- x y))) * [exit]simplify: Simplified to (/ (cbrt (+ y x)) (cbrt (- x y)))